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Match each item in COLUMN I with one in COLUMN II and select your answer from the codes given:

Codes:
    A.    B.    C.     D.
1. c      a     d      b
2. c      a     b      d
3. a      b     c      d
4. a      c     d      b       

Identify the incorrect statement regarding experiments on Pisum sativum by Gregor Mendel?

A plant, on repeated self pollination, preserves the trait expressed for many generations. Such a plant is said to be:

Which of the following is a recessive trait for a character chosen by Mendel in garden pea?

The F1 progeny in monohybrid crosses by Mendel resembled:

Genes which code for a pair of contrasting traits or slightly different forms of the same gene are known as:
1.Alleles
2. Loci
3. Cistrons
4. Introns

In a true breeding the allelic pair of genes are
1. Homologous
2. Linked
3. Stable
4. Homozygous

Identify the incorrect statement:

A test cross is done to find out:

What is the ratio of a typical monohybrid test cross?

The law of Segregation is based on the fact that
1. The alleles do not show any blending
2. There is random fertilization
3. Gametes are pure for the trait
4. The zygotes are diploid

The inheritance of flower colour in dog flower and 4’O clock plant exhibits:

The ultimate source of allelic variation is:

In complete dominance, the recessive allele with respect to the dominant allele:

In the case of co-dominance, the F₁ generation resembles:

The number of alleles, the genotypic combinations and phenotypes in ABO system is respectively:

What can the possible blood groups of progeny whose father and mother are of A and B blood group respectively?

Suppose a gene has seven alleles. What would be the number of alleles in an individual at any instant?
(1) 1
(2) 7
(3) 2
(4) 3

In case of starch synthesis in pea seeds [controlled by B gene], BB homozygotes produce large and round starch grains; bb homozygotes produce smaller and wrinkled starch grains and Heterozygotes produce round seeds of intermediate size. What can be inferred from this observation?
(1) The gene B mutates at a faster rate.
(2) The gene B is easily influenced by the environment
(3) Dominance is not an autonomous feature of a gene or the product that it has information for
(4) Some genes do not follow the law of segregation

When Mendel self hybridized F1 progeny of a dihybrid cross between pure Yellow Round seeded plants and Green Wrinkled plants, he observed that yellow and green colour segregated in a ratio of:

In 1900 Mendel’s work was rediscovered by:

When Morgan hybridised yellow-bodied, white-eyed females to brown-bodied, red-eyed males and intercrossed their F₁ progeny, the F₂ ratio deviated very significantly from the 9:3:3:1 ratio. This can be attributed to the fact that:

Genes tightly linked on the same chromosome show:

In humans, the mechanism of sex determination is:

A couple has a daughter. What is the probability that their next child will be a daughter?
1. 0 %
2. 25 %
3. 50 %
4. 100 %

Identify the incorrect statement:

Pedigree analysis is resorted to for genetic analysis in humans rather than conventional genetic methods because:
I. Choice matings are not possible
II. Number of progeny is limited
Of the two statements:
1. Only I is correct
2. Only II is correct
3. Both I and II are correct
4. Both I and II are incorrect

Which of the following is not an X – linked recessive disorder in humans?

Thalesemia is inherited as a/an ____________ condition.

 
What is incorrect for Hemophilia?

The point mutation in sickle cell anaemia leads to a change in codon. Identify the correct change:

In sickle cell anaemia, the mutant haemoglobin molecule undergoes

In Phenylketonuria,

1. Only I is correct
2. Only II is correct
3. Both are correct
4. Both are incorrect

 
When there is a change in chromosome number such that the changes number is not an exact multiple of base number [haploid number], the condition is called as:

 
Failure of cytokinesis after telophase stage of cell division results in an increase in a whole set of chromosomes in an organism and,this phenomenon is known as:
1. Aneuploidy 
2. Translocation
3. Polyploidy
4. Inversion

The number of autosomes in a human egg would be:

 
Which of the following is not a feature of Down’s Syndrome?

An individual affected by Klinefelter’syndrome:

Identify the incorrectly matched pair:

To form a nucleoside, a nitrogenous base is linked to a pentose sugar:

Which of the following would be nucleoside found only in RNA?

In a strand of a nucleic acid. Two nucleotides are linked together by:

What is another name for thymine?

Watson and Crick based their model of DNA on X-ray diffraction data produced by:

According to Erwin Chargaff, for a double stranded DNA

 
The base pairing in a double stranded DNA is correctly described as:

If each strand of a ds DNA acts as a template for new strand, the two daughter DNA will be:

Which of the following is not a feature of the double helix model of DNA?

In some viruses, the flow of genetic information is from RNA to DNA. These viruses are:

In prokaryotes:

Histones are rich in amino acids:

A typical nucleosome unit consists of about:

During DNA packaging in eukaryotic cells, Non Histone Chromosomal proteins:

Frederick Griffith discovered:

In Avery, Macleod and McCarty experiment, the transformation of bacteria was inhibited by:

Viruses grown on radioactive sulfur contain:

Hershey and Chase proved DNA as the genetic material as in their experiment:

RNA is not the genetic material in:

A molecule that can act as a genetic material must fulfill all the following criteria except:

DNA is structurally and chemically more stable than RNA because of all the following except:

The protein synthesizing machinery of a cell has evolved around:

Who proposed semi-conservative mode of replication for DNA?

Which radioactive isotope was used by Meselson and Stahl to label DNA in their experiment?

If E.coli was allowed to grow for 80 minutes after transfer from ¹⁵N to ¹⁴N medium the number of hybrid density DNA molecules would be:

Any mistakes during DNA replication by the enzyme would result into:

Which of the following acts as the substrate and provide energy for DNA replication?
1. Dideoxyribonucleoside triphosphates
2. Ribonucleoside triphosphates
3. Deoxyribonucleoside triphosphates
4. Deoxyribonucleotide triphosphates

The discontinuously synthesized DNA fragments are later joined by:

Which of the following is true for both transcription and DNA replication?
(1) Principle of complementarity governs the processes
(2) Only of the two strands act as template
(3) Only a segment of both strands is involved 
(4) Adenine base pairs with thymine

A transcription unit does not contain:

DNA dependent RNA polymerase catalyzes polymerization in:
(1) Only in 3’ – 5’ direction
(2) Only in 5’ – 3’ direction
(3) In both directions
(4) In neither directions

What defines a coding and a template strand in the transcription unit?
(1) Structural gene
(2) Ori
(3) Terminator
(4) Promoter

A segment of DNA coding for a polypeptide is most accurately defined as:

In eukaryotes the sequences that appear in mature or processed mRNA are called:

Which of the following RNAs plays both structural and catalytic roles?

What facilitates the opening of the helix during elongation step of transcription?

Which of the following helps in termination of transcription?

Transcription and translation can be coupled in:

In eukaryotes RNA polymerase II transcribes:
(1) mRNA
(2) rRNA
(3) tRNA
(4) hnRNA

What is added to the 5’ end of hnRNA in Eukryotes?

Which enzyme polymerizes RNA with defined sequences in a template independent manner?

Some amino acids are coded by more than one codon. Hence genetic code is:

The amino acid acceptor arm of the tRNA is at its:

In actual structure, tRNA is a compact molecule which looks like a/an:

Which of the following anticodons will hybridize with the mRNA codon 5’ – AUG – 3’?

Which of the following acts as a ribozyme for peptide bond formation in bacteria?

The UTR [untranslated regions] in an mRNA:

Gene regulation in prokaryotes is carried out exclusively at the level of:

The repressor of lac operon is:

A very low level of expression of the lac operon has to be present in the cell:

The lac operon is regarded as:

What is the molarity of ${\mathbf{H}}_{\mathbf{2}}{\mathbf{SO}}_{\mathbf{4}}$ solution that has a density 1.84 g/cc at $\mathbf{35}\mathbf{°}\mathbf{C}$ and contains 98% ${\mathbf{H}}_{\mathbf{2}}{\mathbf{SO}}_{\mathbf{4}}$ by weight?
1. 4.18 M                                   2. 8.14 M
3. 18.4 M                                   4. 18 M

In the reaction
$4{\mathrm{NH}}_{3<mspace\; width="1em"></mspace>}\left(\mathrm{g}\right)<mspace\; width="1em"></mspace>+5<mspace\; width="1em"></mspace>{\mathrm{O}}_{2<mspace\; width="1em"></mspace>\left(\mathrm{g}\right)}<mspace\; width="1em"></mspace>\to <mspace\; width="1em"></mspace>4<mspace\; width="1em"></mspace>\mathrm{NO}<mspace\; width="1em"></mspace>\left(\mathrm{g}\right)<mspace\; width="1em"></mspace>+<mspace\; width="1em"></mspace>6<mspace\; width="1em"></mspace>{\mathrm{H}}_2\mathrm{O}<mspace\; width="1em"></mspace>\left(\mathrm{l}\right)$
When 1 mole of ammonia and 1 mole of ${\mathrm{O}}_2$ are made to react to completion, then
1. 1.0 mol of ${\mathrm{H}}_2\mathrm{O}$ is produced
2. 1.0 mol of NO will be produced
3. all the oxygen will be consumed
4. all the ammonia will be consumed

${\mathbf{10}}^{\mathbf{21}}$ molecules are removed from 200 mg of ${\mathbf{CO}}_{\mathbf{2}}$. The moles of ${\mathbf{CO}}_{\mathbf{2}}$ left are
1. $2.88\times {10}^{-3}$                            2. $28.8\times {10}^{-3}$
3. $288\times {10}^{-3}$                             4. $28.8\times {10}^3$

The vapour density of a gas is 11.2. The volume occupied by one gram of the gas at STP is
1. 1.0 L                                           
2. 11.2 L
3. 22.4 L                                         
4. None of these
 

How many moles of magnesium phosphate, ${\mathbf{Mg}}_{\mathbf{3}}\mathbf{(}{\mathbf{PO}}_{\mathbf{4}}{\mathbf{)}}_{\mathbf{2}}$ will contain 0.25 mole of oxygen atom?
1. 0.02                                         
2. $3.125\times {10}^{-2}$
3. $1.25\times {10}^{-2}$                             
4. $2.5\times {10}^{-2}$

The number of radial nodes for 3p-orbital is 
1. 3                                         
2. 4
3. 2                                         
4. 1

The ratio of the energy of the electron in ground state of hydrogen to the electron in first excited state of ${\mathbf{Be}}^{\mathbf{3}\mathbf{+}}$ is
1. 1 : 4                                     
2. 1 : 8 
3. 1 : 16                                   
4. 16 : 1
 

The most intense line in the Brackett series of the spectrum of atomic hydrogen is the transition.
1. ${\mathrm{n}}_2=\infty \to {\mathrm{n}}_1=1$
2. ${\mathrm{n}}_2=8\to {\mathrm{n}}_1=4$
3. ${\mathrm{n}}_2=\infty \to {\mathrm{n}}_1=4$
4. ${\mathrm{n}}_2=4\to {\mathrm{n}}_1=3$

If Aufbau rule is not used, 19th electron in Sc (Z = 21) will have
1. n = 3, l = 0                           
2. n = 3, l = 1
3. n = 3, l = 2                           
4. n = 4, l = 0       
 

Which is a possible set of quantum numbers for a valence electron in ground state atom of phosphorus (Z = 15)?
1. n = 2, l = 1, ${\mathrm{m}}_{\mathrm{l}}$ = 0, ${\mathrm{m}}_{\mathrm{s}}$ = +1/2
2. n = 3, l = 0, ${\mathrm{m}}_{\mathrm{l}}$ = 0, ${\mathrm{m}}_{\mathrm{s}}$ = 0
3. n = 3, l = 1, ${\mathrm{m}}_{\mathrm{l}}$ = -1, ${\mathrm{m}}_{\mathrm{s}}$ = +1/2
4. n = 3, l = 2,  ${\mathrm{m}}_{\mathrm{l}}$ = 0, ${\mathrm{m}}_{\mathrm{s}}$ = -1/2

The ionisation energy of gaseous Na-atom is 495.80 kJ ${\mathrm{mol}}^{-1}$. The lowest possible frequency of light that can ionise a Na-atom
 $1.<mspace\; width="1em"></mspace>4.76<mspace\; width="1em"></mspace>\times <mspace\; width="1em"></mspace>{10}^{14}{\mathrm{s}}^{-1<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>}<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>$
$2.<mspace\; width="1em"></mspace>7.50<mspace\; width="1em"></mspace>\times <mspace\; width="1em"></mspace>{10}^{14}{\mathrm{s}}^{-1}$
$3.<mspace\; width="1em"></mspace>1.24<mspace\; width="1em"></mspace>\times <mspace\; width="1em"></mspace>{10}^{15}{\mathrm{s}}^{-1}<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>$
$4.<mspace\; width="1em"></mspace>3.15<mspace\; width="1em"></mspace>\times <mspace\; width="1em"></mspace>{10}^{15}{\mathrm{s}}^{-1}$

The de-Broglie wavelength of an electron travelling with 10% of velocity of light is equal to
1. 242.4 pm                               
2. 24.2 pm
3. 2.42 pm                                 
4. 2.424 pm
 

Ionisation energy of H${\mathrm{e}}^{+}$ is 19.6 $\times <mspace\; width="1em"></mspace>{10}^{-18}$ J ato${\mathrm{m}}^{-1}$. The energy of first stationary state (n = 1) of Li²⁺ is
$1.<mspace\; width="1em"></mspace>4.41<mspace\; width="1em"></mspace>\times <mspace\; width="1em"></mspace>{10}^{-16<mspace\; width="1em"></mspace>}\mathrm{J}<mspace\; width="1em"></mspace>{\mathrm{atom}}^{-1}$
$2.<mspace\; width="1em"></mspace>-4.41<mspace\; width="1em"></mspace>\times <mspace\; width="1em"></mspace>{10}^{-17}<mspace\; width="1em"></mspace>\mathrm{J}<mspace\; width="1em"></mspace>{\mathrm{atom}}^{-1}$
$3.<mspace\; width="1em"></mspace>-2.2<mspace\; width="1em"></mspace>\times <mspace\; width="1em"></mspace>{10}^{-15<mspace\; width="1em"></mspace>}<mspace\; width="1em"></mspace>\mathrm{J}<mspace\; width="1em"></mspace>{\mathrm{atom}}^{-1}$
$4.<mspace\; width="1em"></mspace>8.82<mspace\; width="1em"></mspace>\times <mspace\; width="1em"></mspace>{10}^{-17}<mspace\; width="1em"></mspace>\mathrm{J}<mspace\; width="1em"></mspace>{\mathrm{atom}}^{-1}$

The uncertainty in momentum of an electron is $1<mspace\; width="1em"></mspace>\times <mspace\; width="1em"></mspace>{10}^{-1}<mspace\; width="1em"></mspace>\mathrm{m}/\mathrm{s}.$ The uncertainty in its position will be
($\mathrm{h}<mspace\; width="1em"></mspace>=<mspace\; width="1em"></mspace>6.62<mspace\; width="1em"></mspace>\times <mspace\; width="1em"></mspace>{10}^{-34<mspace\; width="1em"></mspace>}\mathrm{kg}<mspace\; width="1em"></mspace>{\mathrm{m}}^2/\mathrm{s}$)
$$\begin{gathered} 1.<mspace\; width="1em"></mspace>1.05<mspace\; width="1em"></mspace>\times <mspace\; width="1em"></mspace>{10}^{-28}\mathrm{m} \\ 2.<mspace\; width="1em"></mspace>1.05<mspace\; width="1em"></mspace>\times <mspace\; width="1em"></mspace>{10}^{-26}\mathrm{m} \\ 3.<mspace\; width="1em"></mspace>5.27<mspace\; width="1em"></mspace>\times <mspace\; width="1em"></mspace>{10}^{-34}\mathrm{m} \\ 4.<mspace\; width="1em"></mspace>5.25<mspace\; width="1em"></mspace>\times <mspace\; width="1em"></mspace>{10}^{-28}\mathrm{m} \end{gathered}$$

What should be the number of electrons present in ${\mathbf{X}}^{\mathbf{2}\mathbf{+}}$ on the basis of electronic configuration, if ${\mathbf{X}}^{3-}$ has 14 protons?
1. 12                                     2. 13
3. 14                                     4. 15

A sudden large jump between the values of second and third ionisation energies of element would be associated with the following electronic configuration.
$$\begin{gathered} 1.<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>1{\mathrm{s}}^2,2{\mathrm{s}}^2,2{\mathrm{p}}^6,3{\mathrm{s}}^1 \\ 2.<mspace\; width="1em"></mspace>1{\mathrm{s}}^{2,}2{\mathrm{s}}^2,2{\mathrm{p}}^6,3{\mathrm{s}}^2,3{\mathrm{p}}^1 \\ 3.<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>1{\mathrm{s}}^2,2{\mathrm{s}}^2,2{\mathrm{p}}^6,3{\mathrm{s}}^1,3{\mathrm{p}}^2 \\ 4.<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>1{\mathrm{s}}^2,2{\mathrm{s}}^2,2{\mathrm{p}}^6,3{\mathrm{s}}^2 \end{gathered}$$

Which of the correct order of size ${\mathbf{O}}^{\mathbf{-}}\mathbf{,}\mathbf{\hspace{0.17em}}{\mathbf{O}}^{\mathbf{2}\mathbf{-}}\mathbf{,}\mathbf{\hspace{0.17em}}{\mathbf{F}}^{\mathbf{-}}$ and F?
1. ${\mathrm{O}}^{2-}<mspace\; width="1em"></mspace>><mspace\; width="1em"></mspace>{\mathrm{O}}^{-}<mspace\; width="1em"></mspace>><mspace\; width="1em"></mspace>{\mathrm{F}}^{-}<mspace\; width="1em"></mspace>><mspace\; width="1em"></mspace>\mathrm{F}$
2. ${\mathrm{O}}^{-}<mspace\; width="1em"></mspace>><mspace\; width="1em"></mspace>{\mathrm{O}}^{2-}<mspace\; width="1em"></mspace>><mspace\; width="1em"></mspace>{\mathrm{F}}^{-}<mspace\; width="1em"></mspace>><mspace\; width="1em"></mspace>\mathrm{F}$
3. ${\mathrm{O}}^{2-}<mspace\; width="1em"></mspace>><mspace\; width="1em"></mspace>{\mathrm{F}}^{-}<mspace\; width="1em"></mspace>><mspace\; width="1em"></mspace>\mathrm{F}<mspace\; width="1em"></mspace>><mspace\; width="1em"></mspace>{\mathrm{O}}^{-}$
4. ${\mathrm{O}}^{2-}<mspace\; width="1em"></mspace>><mspace\; width="1em"></mspace>{\mathrm{F}}^{-}<mspace\; width="1em"></mspace>><mspace\; width="1em"></mspace>{\mathrm{O}}^{-}<mspace\; width="1em"></mspace>><mspace\; width="1em"></mspace>\mathrm{F}$

The correct decreasing order of ionic radius is
1. ${\mathrm{C}}^{4-}>{\mathrm{N}}^{3-}>{\mathrm{O}}^{2-}>{\mathrm{F}}^{-}$
2. ${\mathrm{F}}^{-}>{\mathrm{O}}^{2-}>{\mathrm{N}}^{3-}>{\mathrm{C}}^{4-}$
3. ${\mathrm{O}}^{2-}>{\mathrm{F}}^{-}>{\mathrm{C}}^{4-}>{\mathrm{N}}^{3-}$
4. ${\mathrm{N}}^{3-}>{\mathrm{O}}^{2-}>{\mathrm{F}}^{-}>{\mathrm{C}}^{4-}$

Consider the isoelectronic ions ${\mathbf{K}}^{\mathbf{+}}\mathbf{,}\mathbf{\hspace{0.17em}}{\mathbf{S}}^{\mathbf{2}\mathbf{-}}\mathbf{,}\mathbf{\hspace{0.17em}}{\mathbf{Cl}}^{\mathbf{-}}$ and ${\mathbf{Ca}}^{\mathbf{2}\mathbf{+}}$. The radii of these ionic species follow the order
1. ${\mathrm{Ca}}^{2+}>{\mathrm{K}}^{+}>{\mathrm{Cl}}^{-}>{\mathrm{S}}^{2-}$
2. ${\mathrm{Cl}}^{-}>{\mathrm{S}}^{2-}>{\mathrm{K}}^{+}>{\mathrm{Ca}}^{2+}$
3. ${\mathrm{S}}^{2-}>{\mathrm{Cl}}^{-}>{\mathrm{K}}^{+}>{\mathrm{Ca}}^{2+}$
4. ${\mathrm{K}}^{+}>{\mathrm{Ca}}^{2+}>{\mathrm{S}}^{2-}>{\mathrm{Cl}}^{-}$

The ions ${\mathbf{O}}^{\mathbf{2}\mathbf{-}}\mathbf{,}\mathbf{\hspace{0.17em}}{\mathbf{F}}^{\mathbf{-}}\mathbf{,}\mathbf{\hspace{0.17em}}{\mathbf{Na}}^{\mathbf{+}}\mathbf{,}\mathbf{\hspace{0.17em}}{\mathbf{Mg}}^{\mathbf{2}\mathbf{+}}$ and ${\mathbf{Al}}^{\mathbf{3}\mathbf{+}}$ are isoelectronic. Their iionic radii show
1. an increase from ${\mathrm{O}}^{2-}$ to ${\mathrm{F}}^{-}$ and then decrease from ${\mathrm{Na}}^{+}$ to ${\mathrm{Al}}^{3+}$
2. a decrease from ${\mathrm{O}}^{2-}$ to ${\mathrm{F}}^{-}$ and then increase from ${\mathrm{Na}}^{+}$ to ${\mathrm{Al}}^{3+}$
3. a significant increase from ${\mathrm{O}}^{2-}$ to ${\mathrm{Al}}^{3+}$
4. a significant decrease from ${\mathrm{O}}^{2-}$ to ${\mathrm{Al}}^{3+}$

EN of the element (A) is ${\mathbf{E}}_{\mathbf{1}}$ and IE is ${\mathbf{E}}_{\mathbf{2}}$. Hence EA will be
1. 2${\mathrm{E}}_1$ - ${\mathrm{E}}_2$                             2. ${\mathrm{E}}_1$ - ${\mathrm{E}}_2$
3. ${\mathrm{E}}_1$ - 2${\mathrm{E}}_2$                            4. (${\mathrm{E}}_1$+${\mathrm{E}}_2$)/2

Among the following most metallic element is 
1. Mg                                    2. Li
3. K                                      4. Ca

The heat of hydration of ${\mathbf{Ca}}^{\mathbf{2}\mathbf{+}}\mathbf{,}\mathbf{\hspace{0.17em}}{\mathbf{Sr}}^{\mathbf{2}\mathbf{+}}$ and ${\mathbf{Ba}}^{\mathbf{2}\mathbf{+}}$ in the decreasing order is
1. ${\mathrm{Ca}}^{2+}>{\mathrm{Sr}}^{2+}>{\mathrm{Ba}}^{2+}$
2. ${\mathrm{Ca}}^{2+}>{\mathrm{Ba}}^{2+}>{\mathrm{Sr}}^{2+}$
3. ${\mathrm{Sr}}^{2+}>{\mathrm{Ba}}^{2+}>{\mathrm{Ca}}^{2+}$
4. ${\mathrm{Ba}}^{2+}>{\mathrm{Sr}}^{2+}>{\mathrm{Ca}}^{2+}$

The reactivity of metal with water is in the order of
1. Na > Mg > Zn > Fe > Cu
2. Cu > Fe > Zn > Mg > Na
3. Mg > Zn > Na > Fe > Cu
4. Zn > Na > Mg >Fe > Cu

Which of the following order is wrong?
1. ${\mathrm{NH}}_3<mspace\; width="1em"></mspace><<mspace\; width="1em"></mspace>{\mathrm{PH}}_3<mspace\; width="1em"></mspace><<mspace\; width="1em"></mspace>{\mathrm{AsH}}_3<mspace\; width="1em"></mspace>-$ Acidic
2. Li < Be < B < C $-<mspace\; width="1em"></mspace>(\mathrm{IE}{)}_1$
3. ${\mathrm{A}}_2{\mathrm{O}}_3<mspace\; width="1em"></mspace><<mspace\; width="1em"></mspace>\mathrm{MgO}<mspace\; width="1em"></mspace><<mspace\; width="1em"></mspace>{\mathrm{Na}}_2\mathrm{O}<mspace\; width="1em"></mspace><<mspace\; width="1em"></mspace>{\mathrm{K}}_2\mathrm{O}<mspace\; width="1em"></mspace>-$ Basic
4. ${\mathrm{Li}}^{+}<mspace\; width="1em"></mspace><<mspace\; width="1em"></mspace>{\mathrm{Na}}^{+}{\mathrm{K}}^{+}<mspace\; width="1em"></mspace><<mspace\; width="1em"></mspace>{\mathrm{Cs}}^{+}<mspace\; width="1em"></mspace>-$ Ionic radius

The incrasing order for the solubility of NaCl, ${\mathbf{Na}}_{\mathbf{2}}{\mathbf{SO}}_{\mathbf{4}}$ and ${\mathbf{Na}}_{\mathbf{3}}{\mathbf{PO}}_{\mathbf{4}}$ in water.
1. $\mathrm{NaCl}<mspace\; width="1em"></mspace><<mspace\; width="1em"></mspace>{\mathrm{Na}}_2{\mathrm{SO}}_4<mspace\; width="1em"></mspace><<mspace\; width="1em"></mspace>{\mathrm{Na}}_3{\mathrm{PO}}_4$
2. ${\mathrm{Na}}_3{\mathrm{PO}}_4<mspace\; width="1em"></mspace><<mspace\; width="1em"></mspace>{\mathrm{Na}}_2{\mathrm{SO}}_4<mspace\; width="1em"></mspace><<mspace\; width="1em"></mspace>\mathrm{NaCl}$
3. $\mathrm{NaCl}<mspace\; width="1em"></mspace><<mspace\; width="1em"></mspace>{\mathrm{Na}}_3{\mathrm{PO}}_4<mspace\; width="1em"></mspace><<mspace\; width="1em"></mspace>{\mathrm{Na}}_2{\mathrm{SO}}_4$
4. ${\mathrm{Na}}_2{\mathrm{SO}}_4<mspace\; width="1em"></mspace><<mspace\; width="1em"></mspace>\mathrm{NaCl}<mspace\; width="1em"></mspace><<mspace\; width="1em"></mspace>{\mathrm{Na}}_3{\mathrm{PO}}_4$

In terms of polar character, which one of the following order is correct?
1. ${\mathrm{NH}}_3<mspace\; width="1em"></mspace><{\mathrm{H}}_2\mathrm{O}<mspace\; width="1em"></mspace><\mathrm{HF}<mspace\; width="1em"></mspace><<mspace\; width="1em"></mspace>{\mathrm{H}}_2\mathrm{S}$
2. ${\mathrm{H}}_2\mathrm{S}<mspace\; width="1em"></mspace><<mspace\; width="1em"></mspace>{\mathrm{NH}}_3<mspace\; width="1em"></mspace><{\mathrm{H}}_2\mathrm{O}<mspace\; width="1em"></mspace><\mathrm{HF}$
3. ${\mathrm{H}}_2\mathrm{O}<mspace\; width="1em"></mspace><{\mathrm{NH}}_3<mspace\; width="1em"></mspace><<mspace\; width="1em"></mspace>{\mathrm{H}}_2\mathrm{S}<mspace\; width="1em"></mspace><\mathrm{HF}$
4. $\mathrm{HF}<mspace\; width="1em"></mspace><{\mathrm{H}}_2\mathrm{O}<mspace\; width="1em"></mspace><{\mathrm{NH}}_{3<mspace\; width="1em"></mspace>}<<mspace\; width="1em"></mspace>{\mathrm{H}}_2\mathrm{S}$

What is the geometry of nitrogen atom in ${\mathbf{NH}}_{\mathbf{3}}$, $\mathbf{N}\mathbf{(}{\mathbf{CH}}_{\mathbf{3}}{\mathbf{)}}_{\mathbf{3}}$ and $\mathbf{N}\mathbf{\left[}\mathbf{Si}\mathbf{\right(}{\mathbf{CH}}_{\mathbf{3}}{\mathbf{)}}_{\mathbf{3}}\mathbf{]}$₃ molecules?
I. Trigonal planar
II. Trigonal pyramidal
III. Square planar
Choose the correct option.
1. I, I and I                              2. II, II and III
3. II, II and I                            4. II, I and II

The hybridisation of atomic orbitals of N in ${\mathbf{NO}}_{\mathbf{2}}^{\mathbf{+}}$, ${\mathbf{NO}}_{\mathbf{3}}^{\mathbf{-}}$ and ${\mathbf{NH}}_{\mathbf{4}}^{\mathbf{+}}$ respectively are
1. sp, ${\mathrm{sp}}^2$, ${\mathrm{sp}}^3$                       
2. sp, ${\mathrm{sp}}^3,<mspace\; width="1em"></mspace>{\mathrm{sp}}^2$
3. ${\mathrm{sp}}^2,<mspace\; width="1em"></mspace>\mathrm{sp},<mspace\; width="1em"></mspace>{\mathrm{sp}}^3$                       
4. ${\mathrm{sp}}^2,<mspace\; width="1em"></mspace>{\mathrm{sp}}^3,<mspace\; width="1em"></mspace>\mathrm{sp}$

Decreasing order of stability of ${\mathbf{O}}_{\mathbf{2}}$, ${\mathbf{O}}_{\mathbf{2}}^{\mathbf{-}}$, ${\mathbf{O}}_{\mathbf{2}}^{+}$ and ${\mathbf{O}}_{\mathbf{2}}^{\mathbf{2}\mathbf{-}}$ is
1. ${\mathrm{O}}_2^{+}><mspace\; width="1em"></mspace>{\mathrm{O}}_2><mspace\; width="1em"></mspace>{\mathrm{O}}_2^{-}><mspace\; width="1em"></mspace>{\mathrm{O}}_2^{2-}$
2. ${\mathrm{O}}_2^{2-}><mspace\; width="1em"></mspace>{\mathrm{O}}_2^{-}><mspace\; width="1em"></mspace>{\mathrm{O}}_2><mspace\; width="1em"></mspace>{\mathrm{O}}_2^{+}$
3.$<mspace\; width="1em"></mspace>{\mathrm{O}}_2>{\mathrm{O}}_2^{+}><mspace\; width="1em"></mspace>{\mathrm{O}}_2^{2-}><mspace\; width="1em"></mspace>{\mathrm{O}}_2^{-}$
4. ${\mathrm{O}}_2^{-}><mspace\; width="1em"></mspace>{\mathrm{O}}_2^{2-}><mspace\; width="1em"></mspace>{\mathrm{O}}_2^{+}><mspace\; width="1em"></mspace>{\mathrm{O}}_2$

The variation of the boiling points of the hydrogen halides is in the order HF > HI > HBr > HCl. What explains the higher boiling point of the hydrogen fluoride
1. The electronegativity of fluorine is much higher than for the other elements in the group 
2. There is a strong hydrogen bonding between HF
3. The bond energy HF is greater than other hydrogen halides
4. The effect of nuclear shielding is much reduced in fluorine which polarises the HF molecule 

In which of the following pairs, both the species are not isostructural?
1. ${\mathrm{SiCl}}_4,<mspace\; width="1em"></mspace>{\mathrm{PCl}}_4^{+}$
2. Diamond, silicon carbide
3. ${\mathrm{NH}}_3,<mspace\; width="1em"></mspace>{\mathrm{PH}}_3$
4. ${\mathrm{XeF}}_4,<mspace\; width="1em"></mspace>{\mathrm{XeO}}_4$

Which one of the following species has plane triangular shape?
1. ${\mathrm{N}}_3$                               2. ${\mathrm{NO}}_3^{-}$
3. ${\mathrm{NO}}_2^{-}$                           4. ${\mathrm{CO}}_2$

The structure of ${\mathrm{XeF}}_6$ is experimentally determined to be distorted octahedron. Its structure according to VSEPR theory is 
1. octahedron 
2. trigonal bipyramidal 
3. pentagonal bipyramidal 
4. tetragonal bipyramidal 
 

The type of attractive forces that operate between gaseous HCl and chlorine molecule
1. dipole-dipole forces
2. London forces
3. Electrostatics forces
4. dipole-induced dipole forces

Dipole - induced dipole interactions are present in which of the following pairs?
1. ${\mathrm{H}}_2\mathrm{O}$ and alcohol
2. ${\mathrm{Cl}}_2$ and ${\mathrm{CCl}}_4$
3. HCl and He-atoms
4. ${\mathrm{SiF}}_4$ and He-atoms

The hydrogen bond is shortest in
1. S - H - - - S
2. S - H - - - O
3. F - H - - - O
4. F - H - - - F

Which of the following is paramagnetic ?
1. CO                               2. ${\mathrm{O}}_2^{-}$
3. ${\mathrm{CN}}^{-}$                            4. ${\mathrm{NO}}^{+}$

During the formation of a chemical bond
1. electron - electron repulsion becomes more than the nucleus - electron attraction
2. energy of the system does not change
3. energy increases
4. energy decreases 

The $\mathbf{C}\mathbf{-}\mathbf{H}$ bond and $\mathbf{C}\mathbf{-}\mathbf{C}$ bond in ethane are formed by which of the following types of overlap?
1. ${\mathrm{sp}}^2$-sp and ${\mathrm{sp}}^2$-${\mathrm{sp}}^2$
2. sp-s and sp - sp
3. p-s and p-p
4. ${\mathrm{sp}}^3$-s to ${\mathrm{sp}}^3$-${\mathrm{sp}}^3$

Which of the following molecules/ions does not contain unpaired electron?
1. ${\mathrm{O}}_2^{2-}$                      2. ${\mathrm{B}}_2$
3. ${\mathrm{N}}_2^{-}$                       4. ${\mathrm{O}}_2$

The paramagnetic behaviour of ${\mathbf{B}}_{\mathbf{2}}$ is due to the presence of
1. 2 unpaired electrons in ${\mathrm{\pi }}_{\mathrm{b}}\mathrm{MO}$
2. 2 unpaired electrons in $\stackrel{*}{\mathrm{\pi }<mspace\; width="1em"></mspace>}$MO
3. 2 unpaired electrons in $\stackrel{*}{\mathrm{\sigma }}$ MO
4. 2 unpaired electrons in ${\mathrm{\sigma }}_{\mathrm{b}}$ MO

Which of the two ions from the list given below that have the geometry that is explained by the same hybridisation of orbitals, ${\mathbf{NO}}_{\mathbf{2}}^{\mathbf{-}}$, ${\mathbf{NO}}_{\mathbf{3}}^{\mathbf{-}}$, ${\mathbf{NH}}_{\mathbf{2}}^{\mathbf{-}}$, ${\mathbf{NH}}_{\mathbf{4}}^{\mathbf{+}}$, ${\mathbf{SCN}}^{\mathbf{-}\mathbf{?}}$
1. ${\mathrm{NO}}_2^{-}$and ${\mathrm{NH}}_2^{-}$
2. ${\mathrm{NO}}_2^{-}$ and ${\mathrm{NO}}_3^{-}$
3. ${\mathrm{NH}}_4^{+}$ and ${\mathrm{NO}}_3^{-}$
4. ${\mathrm{SCN}}^{-}$ and ${\mathrm{NH}}_2^{-}$

Among the following, the paramagnetic compound is
1. ${\mathrm{Na}}_2{\mathrm{O}}_2$                        2. ${\mathrm{O}}_3$
3. ${\mathrm{N}}_2\mathrm{O}$                          4. $K{O}_2$

The structure of ${\mathrm{XeO}}_3$ is
1. linear                    2. planar
3. pyramidal            4. T-shaped

Six charges are placed at the corner of a regular hexagon as shown. If an electron is placed at its centre O, the force on it will be:

1. Zero
2. Along OF
3. Along OC
4. None of these

A hollow conducting sphere is placed in an electric field produced by a point charge placed at P as shown in the figure. Let $V_A$,$V_B$,$V_C$ be the potential at points A, B and C respectively. Then:

1. $V_C$>$V_B$
2. $V_B$>$V_C$
3. $V_A$>$V_B$
4. $V_A$=$V_C$

The concentric spheres are of radii $r_1$ and $r_2$. The outer sphere is given a charge q. The charge q' on the inner sphere will be (the inner sphere is grounded)

1.  q
2.  -q
3.  -q$\frac{r_1}{r_2}$
4. Zero

In a uniform electric field, the potential is 10V at the origin, and 8V at each of the points (1, 0, 0), (0, 1, 0) and (0, 0, 1). The potential at the point (1, 1, 1) will be
1. 0
2. 4V
3. 8V
4. 10V

In a regular polygon of n sides, each corner is at a distance r from the centre. Identical charges are placed at (n-1) corners. At the centre, the intensity is E and the potential is V. The ratio V/E has a magnitude
1.  rn
2.  r(n-1)
3.  (n-1)/r
4.  r(n-1)/n

The dipole moment of a system of charge +q distributed uniformly on an arc of radius R subtending an angle $\mathrm{\pi }$/2 at its centre where another charge -q is placed is:
1. $\frac{2\sqrt{2}\mathrm{qR}}{\mathrm{\pi }}$
2. $\frac{\sqrt{2}\mathrm{qR}}{\mathrm{\pi }}$
3.  $\frac{\mathrm{qR}}{\mathrm{\pi }}$
4. $\frac{2\mathrm{qR}}{\mathrm{\pi }}$

Electric flux through a surface of area 100 ${\mathrm{m}}^2$ lying in the XY plane is (in V-m). If $\overrightarrow{\mathrm{E}}=\hat{\mathrm{i}}<mspace\; width="1em"></mspace>+<mspace\; width="1em"></mspace>\sqrt{2}\widehat{\mathrm{j}<mspace\; width="1em"></mspace>}<mspace\; width="1em"></mspace>+<mspace\; width="1em"></mspace>\sqrt{3}\hat{\mathrm{k}}$
1. 100
2. 141.4
3. 173.2
4. 200

There are four concentric shells A, B, C and D of radii a, 2a, 3a, and 4a respectively. Shells B and D are given charges +q and -q respectively. Shell C is now earthed. The potential difference $V_A-V_C$ is:
1. $\frac{\mathrm{Kq}}{2\mathrm{a}}$
2. $\frac{\mathrm{Kq}}{3\mathrm{a}}$
3. $\frac{\mathrm{Kq}}{4\mathrm{a}}$ 
4. $\frac{\mathrm{Kq}}{6\mathrm{a}}$

1000 small water drops each of radius r and charge q coalesce together to form one spherical drop. The potential of the bigger drop is larger than that of the smaller one by a factor:
1. 1000
2. 100
3. 10
4. 1

A parallel plate capacitor is made by stacking n equally spaced plates connected alternately. If the capacitance between any two plates is C, then the resulting capacitance is:
1. C
2. nC
3. (n-1)C
4. (n+1)C 

A metal ball of radius R is placed concentrically inside a hollow metal sphere of inner radius 2R and outer radius 3R. The ball is given a charge +2Q and the hollow sphere a total charge -Q. The electrostatic potential energy of this system is :

1. $\frac{7Q^2}{24\pi {\epsilon }_{0}R}$ 
2. $\frac{5Q^2}{16\pi {\epsilon }_{0}R}$
3. $\frac{5Q^2}{8\pi {\epsilon }_{0}R}$
4. None

If K is the dielectric constant of a medium and ${\epsilon }_0$ permittivity of free space, then the energy stored per unit volume of the medium is given by:
1. $\frac{\mathit{1}}{\mathit{2}}{K}^{\mathit{2}}{\epsilon }_{\mathit{0}}^{\mathit{2}}\mathit{/}E$
2. $\frac{1}{2}K{\epsilon }_0^{2}E$
3. $\frac{1}{2}K{\epsilon }_0{E}^2$
4. $\frac{1}{2}K{\epsilon }_{0}E$  

When an uncharged metal sphere is brought closer to a positively charged sphere, the uncharged sphere will: 
1. Move away from charged one
2. Move towards the charged one
3. Does not move at all
4. Move towards or away depending upon the magnitude of charge 

A point charge is kept at the centre of a metallic insulated spherical shell. Then:
1. The electric field outside the sphere is zero
2. The electric field inside the sphere is zero
3. Net induced charge on the sphere is zero
4. Electric potential inside the sphere is zero

Let $\rho \left(r\right)<mspace\; width="1em"></mspace>=<mspace\; width="1em"></mspace>\frac{Q}{\pi R^4}r$ be the charge density distribution for a solid sphere of radius $R$ and total charge $Q$. For a point $P$ inside the sphere at distance $r_1$ from the centre of the sphere, the magnitude of the electric field is:
1. Zero
2. $\frac{Q}{4\pi {\epsilon }_0{r}_1^2}$
3. $\frac{Q{r}_1^2}{4\pi {\epsilon }_0{R}^4}$
4. $\frac{Q{r}_1^2}{3\pi {\epsilon }_0{R}^4}$

An electron at rest has a charge of $1.6\times {10}^{-19}<mspace\; width="1em"></mspace>\mathrm{C}$. It starts moving with a velocity $\mathrm{v}<mspace\; width="1em"></mspace>=<mspace\; width="1em"></mspace>\mathrm{c}/2$, where c is the speed of light, then the new charge on it is-
1. $1.6\times {10}^{-19}<mspace\; width="1em"></mspace>$ Coulomb
2. $1.6\times {10}^{-19}<mspace\; width="1em"></mspace>\sqrt{1-{\left(\frac{1}{2}\right)}^2}$ Coulomb
3. $1.6\times {10}^{-19}<mspace\; width="1em"></mspace>\sqrt{{\left(\frac{2}{1}\right)}^2-1}$ Coulomb
4. $\frac{1.6\times {10}^{-19}}{\sqrt{1-{\left({\displaystyle \frac{1}{2}}\right)}^2}}$ Coulomb

A spherical portion has been removed from a solid sphere having a charge distributed uniformly in its volume as shown in the figure. The electric field inside the emptied space is:

1. Zero everywhere
2. Non-zero and uniform
3. Non-uniform
4. Zero only at its centre

Two similar charge +Q, as shown in the figure, are placed at A and B. -q charge is placed at point C midway between A and B. Charge -q will oscillate if

1. It is moved towards A
2. It is moved towards B
3. It is moved perpendicular to AB
4. Distance between A and B is reduced.

A certain charge Q is divided at first into two parts, (q) and (Q-q). Later on the charges are placed at a certain distance. If the force of interaction between the two charges is maximum then -
1. (Q/q) = (4/1)
2. (Q/q) = (2/1)
3. (Q/q) = (3/1)
4. (Q/q) = (5/1)

A unit charge is one when placed in vacuum one cm from an equal charge of the same kind will repel it with a force of-
1. 1 Newton
2. 1 dyne
3. 2 dyne
4. 4 dyne 

Equal charges of $2\mathrm{\mu C}$ each are placed at a point x = 0, 2, 4, and 8 cm on the x-axis. The force experienced by the charge at x=2 cm is equal to-
1. 5 Newton
2. 10 Newton
3. 0 Newton
4. 15 Newton

Three equal charges (q) are placed at the corners of an equilateral triangle. The force on any charge is-
1. Zero
2. $\sqrt{3}\frac{{\mathrm{Kq}}^2}{{\mathrm{a}}^2}$
3. $\frac{{\mathrm{Kq}}^2}{\sqrt{3}{\mathrm{a}}^2}$
4. $3\sqrt{3}\frac{{\mathrm{kq}}^2}{{\mathrm{a}}^2}$

A proton is first placed at A and then at B between the two plates of a parallel plate capacitor charged to a P.D. of V volt as shown. Then force on proton at A is-

1. More than that at B
2. Less than that at B
3. Equal to that at B
4. Nothing can be said

When a charge of 3 coulombs is placed in a uniform electric field, it experiences a force of 3000 newtons, within this field, the potential difference between two points separated by a distance of 1 cm is-
1. 10 Volt
2. 90 Volt
3. 1000 Volt
4. 3000 Volt

A uniform electric field having a magnitude ${\mathrm{E}}_0$ and direction along positive x-axis exists. If the electric potential (V) is zero at x=0 then its value at x= +x will be-
1. ${\mathrm{V}}_{\mathrm{x}}=\mathrm{x}<mspace\; width="1em"></mspace>{\mathrm{E}}_0$
2. ${\mathrm{V}}_{\mathrm{x}}=-\mathrm{x}<mspace\; width="1em"></mspace>{\mathrm{E}}_0$
3. ${\mathrm{V}}_{\mathrm{x}}={\mathrm{x}}^2<mspace\; width="1em"></mspace>{\mathrm{E}}_0$
4. ${\mathrm{V}}_{\mathrm{x}}=-{\mathrm{x}}^2<mspace\; width="1em"></mspace>{\mathrm{E}}_0$

Two conducting spheres of radii ${\mathrm{r}}_1$ and ${\mathrm{r}}_2$ have the same electric field near their surfaces. The ratio of their electric potential is :
1. $\frac{{\mathrm{r}}_1^2}{{\mathrm{r}}_2^2}$
2. $\frac{{\mathrm{r}}_2^2}{{\mathrm{r}}_1^2}$
3. $\frac{{\mathrm{r}}_1}{{\mathrm{r}}_2}$
4. $\frac{{\mathrm{r}}_2}{{\mathrm{r}}_1}$

Consider a neutral conducting sphere. A positive point charge is placed outside the sphere. The net charge on the sphere is then:
1. Negative and distributed uniformly over the surface of the sphere
2. Negative and appears only at the point on the sphere closest to the point charge.
3. Negative and distributed non-uniformly over the entire surface of the sphere
4. Zero

A long, hollow conducting cylinder is kept coaxially inside another long, hollow conducting cylinder of a larger radius. Both the cylinders are initially electrically neutral.
1. A potential difference appears between the two cylinders when a charge density is given to the inner cylinder.
2. A potential difference appears between the two cylinders when a charge density is given to the outer cylinder.
3. No potential difference appears between the two cylinders when a uniform line charge is kept along the axis of the cylinders
4. No potential difference appears between the two cylinders when the same charge density is given to both the cylinders.

A solid metallic sphere has a charge $+3Q$. Concentric with this sphere is a conducting spherical shell having charge -Q. The radius of the sphere is a and that of the spherical shell is b(b>a). What is the electric field at a distance R(a<R<b) from the centre?
1. $\frac{4Q}{2\pi {\epsilon }_0{R}^2}$
2. $\frac{3Q}{4\pi {\epsilon }_0{R}^2}$
3. $\frac{3Q}{2\pi {\epsilon }_0{R}^2}$
4. $\frac{Q}{2\pi {\epsilon }_0{R}^{}}$ 

The electrostatic field due to a charged conductor just outside the conductor is:
1. Zero and parallel to the surface at every point inside the conductor
2. Zero and is normal to the surface at every point inside the conductor
3. Parallel to the surface at every point and zero inside the conductor
4. Normal to the surface at every point and zero inside the conductor

An electric dipole consists of two opposite charges each of magnitude $1\times {10}^{-6}<mspace\; width="1em"></mspace>\mathrm{C}$ separated by a distance 2 cm. The dipole is placed in an external field of $1.0\times {10}^5<mspace\; width="1em"></mspace>\mathrm{N}/\mathrm{C}$. The maximum torque on the dipole is-
1. $0.2\times {10}^{-3}<mspace\; width="1em"></mspace>\mathrm{N}-\mathrm{m}$
2. $1.0\times {10}^{-3}<mspace\; width="1em"></mspace>\mathrm{N}-\mathrm{m}$
3. $2\times {10}^{-3}<mspace\; width="1em"></mspace>\mathrm{N}-\mathrm{m}$
4. $4\times {10}^{-3}<mspace\; width="1em"></mspace>\mathrm{N}-\mathrm{m}$

A small conducting sphere of radius r is lying concentrically inside a bigger hollow conducting sphere of radius R. The bigger and smaller spheres are charged with Q and q(Q>q) and are insulated from each other. The potential difference between the spheres will be:
1. $\frac{\mathit{1}}{\mathit{4}\mathit{\pi }{\mathit{\epsilon }}_{\mathit{0}}}\left(\frac{\mathit{q}}{\mathit{r}}\mathit{-}\frac{\mathit{q}}{\mathit{R}}\right)$
2. $\frac{\mathit{1}}{\mathit{4}\pi {\epsilon }_{\mathit{0}}}\left(\frac{q}{R}\mathit{-}\frac{Q}{r}\right)$
3. $\frac{\mathit{1}}{\mathit{4}\pi {\epsilon }_{\mathit{0}}}\left(\frac{q}{r}\mathit{-}\frac{Q}{R}\right)$
4. $\frac{\mathit{1}}{\mathit{4}\pi {\epsilon }_{\mathit{0}}}\left(\frac{Q}{R}+\frac{q}{r}\right)$

The electric potential at a point due to an electric dipole will be:
1.  $\mathrm{k}\frac{{\displaystyle \overrightarrow{\mathrm{p}}}.{\displaystyle \overrightarrow{\mathrm{r}}}}{{\mathrm{r}}^3}$
2.  $\mathrm{k}\frac{{\displaystyle \overrightarrow{\mathrm{p}}}.{\displaystyle \overrightarrow{\mathrm{r}}}}{{\mathrm{r}}^2}$
3.  $\frac{k\left({\displaystyle \overrightarrow{p}}\times {\displaystyle \overrightarrow{r}}\right)}{r}$
4.  $\frac{k\left({\displaystyle \overrightarrow{p}}\times {\displaystyle \overrightarrow{r}}\right)}{r^2}$

A thin conducting ring of radius R is given a charge +Q. The electric field at the centre O of the ring due to the charge on the part AKB of the ring is E. The electric field at the centre due to the charge on the part ACDB of the ring is:

1. E along KO
2. 3E along OK
3. 3E along KO
4. E along OK

$5\times {10}^5$ lines of electrix flux are entering in a closed surface and $4\times {10}^5$ liner come out of the surface the charge enclosed by the surface is-
1. $00.885\times {10}^{-6}\mathrm{C}$
2. $8.85\times {10}^{-6}\mathrm{C}$
3. $-8.85\times {10}^{-7}\mathrm{C}$
4. $8.85\times {10}^{-8}\mathrm{C}$

 
(1)  $2{\mathrm{\pi R}}^2\mathrm{E}$
(2)  ${\mathrm{\pi R}}^2\mathrm{E}$
(3)  $\frac{{\mathrm{\pi R}}^2+{\mathrm{\pi R}}^2}{\mathrm{E}}$
(4)  Zero

A hemisphere (radius R) is placed in electric field as shown in fig. Total outgoing flux is-

1. $\mathrm{\pi }{R}^{\mathit{2}}\mathrm{E}$
2. $2\mathrm{\pi }{R}^{\mathit{2}}\mathrm{E}$
3. $4\mathrm{\pi }{R}^{\mathit{2}}\mathrm{E}$
4.$\left(\mathrm{\pi }{R}^{\mathit{2}}\mathrm{E}\right)/2$

The number of electrons, falling on a spherical conductor (radius = 0.1m) to produce .036 N/C electric field at the surface of the conductor, is-
1. $2.7\times {10}^5$
2. $2.5\times {10}^5$
3. $2.6\times {10}^5$
4. $2.4\times {10}^5$

The potential difference between the centre and the surface of a sphere of radius R with uniform surface charge density $\sigma$ within it will be-
1. $\frac{\sigma R^2}{6{\epsilon }_0}$
2. $\frac{\sigma R^2}{4{\epsilon }_0}$
3. Zero
4. $\frac{\sigma R^2}{2{\epsilon }_0}$

As per this diagram, a point charge +q is placed at the origin O. Work done in taking another point charge -Q from the point A [Co-ordinates (0, a)] to another point B [co-ordinates (a, 0)] along the straight path AB is

1. Zero
2. $\left(\frac{-qQ}{4\pi {\epsilon }_0}\frac{1}{a^2}\right)\sqrt{2a}$
3. $\left(\frac{qQ}{4\pi {\epsilon }_0}\frac{1}{a^2}\right)\frac{a}{\sqrt{2}}$
4. $\left(\frac{qQ}{4\pi {\epsilon }_0}\frac{1}{a^2}\right)\sqrt{2a}$ 

The ratio of electric force between two electrons to the gravitational force between them is of the order of
1. ${10}^{42}$
2. ${10}^{39}$
3. ${10}^{36}$
4. 1

An electric dipole is placed along the x-axis at the origin O. A point P is at a distance of 20cm from this origin such that OP makes an angle $\frac{\mathrm{\pi }}{3}$ with the x-axis. If the electric field at P makes an angle $\mathrm{\theta }$ with the x-axis, the value of $\mathrm{\theta }$ would be :
1. $\frac{\mathrm{\pi }}{3}$
2. $\frac{\mathrm{\pi }}{3}+{\tan }^{-1}\left(\frac{\sqrt{3}}{2}\right)$
3. $\frac{2\mathrm{\pi }}{3}$
4. ${\tan }^{-1}\left(\frac{\sqrt{3}}{2}\right)$ 

Two charges ${\mathrm{q}}_1$ and ${\mathrm{q}}_2$ repel each other with a force of 0.1N. What will be the force exerted by ${\mathrm{q}}_1$ on ${\mathrm{q}}_2$, when a third charge is placed near them?
1. Less than 0.1N
2. More than 0.1N
3. 0.1N
4. Less than 0.1N if ${\mathrm{q}}_1$ and ${\mathrm{q}}_2$ are similar and more than 0.1N if ${\mathrm{q}}_1$ and ${\mathrm{q}}_2$ are dissimilar

A disk of radius $\frac{\mathit{a}}{\mathit{4}}$ having a uniformly distributed charge 6C is placed in the X-Y plane with its centre at (-a/2, 0, 0). A rod of length 'a' carrying a uniformly distributed charge 8C is placed on the x-axis from $x=\frac{a}{4}$ to $x=\frac{5a}{4}$. Two-point charges -7C and 3C are placed at $\left(\frac{a}{4},\frac{-a}{4},0\right)$ and $\left(\frac{-3a}{4},\frac{3a}{4},0\right)$ respectively. Consider a cubical surface formed by six surfaces at $x=\pm \frac{a}{2}$, $y=\pm \frac{a}{2}$, $z=\pm \frac{a}{2}$. The electric flux through this cubical surface is:

1. $\frac{-2C}{{\epsilon }_0}$
2. $\frac{2C}{{\epsilon }_0}$
3. $\frac{10C}{{\epsilon }_0}$
4. $\frac{12C}{{\epsilon }_0}$

Three small spheres each carrying a charge q are placed on the circumference of a circle of radius R, forming an equilateral triangle. If we place another charge Q at the centre of the circle, the force on Q will be:
1. Zero
2. $\frac{\mathrm{qQ}}{4{\mathrm{\pi \epsilon }}_0{\mathrm{R}}^2}$
3. $\frac{2\mathrm{qQ}}{4{\mathrm{\pi \epsilon }}_0{\mathrm{R}}^2}$
4. $\frac{3\mathrm{qQ}}{4{\mathrm{\pi \epsilon }}_0{\mathrm{R}}^2}$