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Ginger is vegetatively propagated through:
1. Rhizome
2. Bulbil
3. Stolon
4. Offset
 

The embryo of a grass seed is enclosed by two protective sheaths, a(n) _________, which covers the young shoot, and a(n) __________, which covers the young root.
1. plumule; radical
2. hypocotyl; picotyls
3. coleoptile; coleorrhiza
4. scutellum; replum

What is the first step in the germination of a seed?
1. pollination
2. fertilization
3. imbibition
4. hydrolysis of starch and other food reserves

Which of the following is secreted only during the luteal phase of a menstrual cycle ?
1. LH
2. FSH
3. Estrogen
4. Progesterone

In the process of oogenesis, a polar body:
I. is formed before fertilization.
II. is formed after fertilization.
III. normally receives most of the cytoplasm of the cell.
1. Only I is correct
2. Only II is correct
3. Only I and II are correct
4. I, II, and III are correct

Which event is incorrectly matched with the time of its occurence [with respect to a 28 days menstrual cycle]?
1. Beginning of the menstrual flow - Day 1
2. Ovulation - Day 14
3. Beginning of the proliferative phase - Day 5
4. Peak  secretion of estrogen - Day 22

A disease caused by primary autosomal non-disjunction is:
1. Down's syndrome
2. Klinefelter's syndrome
3. Turner's syndrome
4. Phenylketonuria

What is the major difference between the lagging and leading strands during DNA replication ?
1. On the leading strand, DNA synthesis occurs from 5' to 3', while DNA synthesis occurs from 3' to 5' on the lagging strand.
2. DNA polymerase is able to continuously add new nucleotides on the leading strand while it must keep 'starting over' on the lagging strand.
3. The lagging strand requires only a single primer while the leading strand requires many.
4. Helicase opens the leading stran at a faster rate than the lagging strand.
 

A tRNA molecule must :
1. have a base sequence identical to the codon in the mRNA
2. be attached to a particular amino acid
3. bind to the protein to determine its primary structure
4. All of these

The inducer of lac operon is :
1. Beta galactosidase
2. Galactose
3. Lactose
4. Glucose

The creation of a DNA fingerprint would normally employ all the following techniques except :
1. Southern blotting
2. Use of restriction endonucleases
3. Gel electrophoresis
4. Western blotting

Which of the following organisms alive today is likely to be most similar to the first life forms that evolved on the earth?
1. Methane producing bacteria
2. Cyanobacteria
3. Unicellular algae
4. Diatoms
 

Anatomical features that are fully developed and functional in one group of organisms but are reduced and functionless in similar groups are called :
1. Homologous 
2. Analogous
3. Transitional
4. Vestigial

What provides new alleles and therefore underlies all other mechanisms that produce variation?
1. Speciation 
2. Mutation 
3. Recombination 
4. Natural selection 

Darwin finches on the Galapagos Islands are an excellent example of:
1. Disruptive selection
2. Inheritance of acquired characters
3. Adaptive radiation
4. Convergent evolution

The secretion of antibodies by B lymphocytes provides:
1. Passive immunity 
2. Humoral immunity 
3. cell mediated immunity 
4. Innate immunity 

The most standard HIV screening blood test:
1. Predicts how fast can one develop AIDS
2. Measures the amount of virus in the blood
3. Detects antibodies against the virus
4. Can be done only after appearance of opportunistic infections

Cancer is more common in older because:
1. Their immune systems have degenerated
2. Secretion of certain hormones is decreased
3. Cell replacement is not adequate 
4. They accumulate more mutations

Alcohol is primarily metabolized in:
1. Brain, which accounts for its mental effect
2. Muscle, which accounts for its effects on movement
3. Liver, where it disrupts glycolysis and Kreb's cycle
4. Bloodstream, which explains its widespread effects

Which parasitic worm can cause lung damage and severe malnutrition?
1. Ascaris
2. Ancylostoma
3. Wuchereria
4. Clonorchis

Inbreeding depression is seen in:
I. Self pollinated crops
II. Cross pollinated crops
III. Animal species
1. Only I and II
2. Only I and III
3. Only II and III
4. I, II, III

The best breeding method for animals that are below average in productivity in milk production would be:
1. Inbreeding
2. Out-crossing
3. Cross-breeding
4. Interspecific hybridisation

Identify the option where all columns are not correctly matched:
      Crop                 Variety                       Resistant to
1.  Wheat              Himgiri                        Leaf rust
2. Brassica             Pusa Swarnim               White rust
3. Cowpea             Pusa komal                   Black rot
4. Chilli                  Pusa sadabahar             Leaf curl

Which statement regarding restriction endonucleases is NOT correct?
1. They recognize a specific base sequence in the DNA.
2. They are produced by bacterial cells as a primitive immune system.
3. They digest DNA by removing nucleotides from a free 3' end.
4. They often generate stick ends.

Plants are more easily manipulated by genetic engineering than are animals because:
1. Plant genes do not contain introns
2. More vectors are available to transfer rDNA into plant cells
3. Totipotency is a feature generally associated with plant cells and not with animal cells
4. Genes can be inserted into animal cells by microinjection.

Identify the incorrectly matched pair :

Which one of the following are important biotic factors that can affect the structure and organization of biological communities?
1. Temperature and rainfall
2. Nutrient availability and soil pH
3. Predation and competition
4. Light intensity and seasonality

The country with the given population pyramid is likely to have:

1. Low birth rate
2. High death rate
3. Declining population in future
4. More females than males

In a tide pool, 15 species of invertebrates were reduced to 8 after one species was removed. The removed species may be a:
1. Parasite                   
2. Mutualist
3. Top predator           
4. Herbivore

Which of the following does not contribute to the species diversity of the tropics?
1. Predictability
2. Predation
3. High productivity
4. Spatial homogeneity

The 2015 COP [Conference of Parties] 21 was held in:
1. Paris
2. Rio de Janeiro
3. Marrakech
4. Doha

Which of the following radiatively active gases contributes the least to global warming?
1. CO₂
2. CFC
3. N₂O
4. CH₄

What is the percentage of photosynthetic active radiation [PAR] in the incident solar radiation?
1. 100 %
2. 50%
3. 1-5%
4. 2-10%
 

The earth is a closed system except for:
1. Nitrogen
2. Carbon dioxide
3. Water
4. Energy

The secondary sexual characters develop in females because of:
1. estrogens
2. androgens
3. absence of androgens
4. absence of estrogens

Male pattern baldness is a _____ trait.
1. sex-linked
2. Sex-limited
3. sex-influenced
4. Y-linked

Match each item in Column I with one item in Column II and chose your answer from the codes given below:

 
1. I - v; II - vii; III - iii; IV - i
2. I - iv; II - vi; III - iii; IV - i
3. I - v; II - vi; III - iii; IV - ii
4. I - v; II - vi; III - iii; IV - i

In eukaryotes which of the following is removed from initially transcribed RNA before it is transported to the cytoplasm for translation ?
1. Intron
2. 3' Poly A tail
3. Ribosome binding site
4. 5' cap

VNTR are useful in DNA profiling because they:
I. Are hypervariable
II. Are inherited
III. Synthesize constitutive enzymes
1. I, II and III are correct
2. I and II are correct
3. I and III are correct
4. II and III are correct

Suppose there are two forms of a specific gene in a population-the frequency of dominant allele is 0.6 and that of the recessive allele is 0.4. At a later date it was found that the frequency of dominant allele is 0.8 and that of the recessive allele is 0.2. This change in allele frequency tells that certainly there is:
1. Mutation
2. Genetic drift
3. Gene migration
4. Evolution

Which of the following is the most important precondition for speciation to occur?
1. Reproductive isolation
2. A crash of the population size
3. Adaptive radiation
4. Random mating

The presence of the monotremes and marsupials in the Australian continent can be explained by:
1.  Convergent evolution
2.  Adaptive radiation
3.  Punctuated equilibrium
4.  Gene flow 

In mung bean the resistance to yellow mosaic virus and powdery mildew were introduced by:
1. Mutations
2. Hybridization
3. Tissue culture
4. Genetic engineering

A normal gene that codes for proteins that help to regulate cell growth and differentiation and can, due to mutations or increased expression, lead to neoplastic transformation of cells, is called as:
1. Oncogene
2. Proto-oncogene
3. V-onc
4. Psuedogene

The early screening test for HIV infection is :
1. ELISA
2. Western Blot
3. Culture of HIV
4, Detection of opportunistic infections

The major histocompatibility complex is a :
1. Series of complement-enhanced reactions to antigens
2. group of antigens, coded by a family of genes, on the surface of body cells 
3. form of autoimmunity 
4. the major cause of cancer 

Identify the incrrectly matched pair:
1. Trichoderma harzianum -  Biocontrol
2. Aspergillus niger  - source of citric acid
3. Baculovirus - narrow spectrum species specific insecticides
4. Monascus purpureus - source of cholesterol synthesizing enzyme

The first type II restriction endonuclease discovered that could cut dsDNA at specific site was:
1. EcoRI                        2. SmaI
3. Hind II                      4. Hind III

Tobacco plant has been made resistant to the tobacco mosaic virus by :
1. introducing T-DNA of Agrobacterium
2. introducing a gene for virus coat protein
3. introducing meristematic activity in somatic cells
4. applying newer generation pesticides to the crops

At the trophic level of consumers, the rate at which food energy is assimilated, is called:
1. Secondary productivity
2. Gross primary productivity 
3. Net primary productivity 
4. None of these  

Consider the following two statements:

1. Both l and ll are correct and ll explains l
2. Both l and ll are correct but ll does not explain l
3. l is correct but ll is incorrect
4. l is incorrect but ll is correct

The most important cause of loss of biodiversity today is:
1. habitat loss and fragmentation
2. over-exploitation
3. alien species invasions
4. co-extinctions

Which of the following is the breeding place for Flamingoes in India?
1. Lake Chilka
2. Sambar lake
3. Runn of Kuchch
4. Silent valley

Which of the following commits industrialized nations to reduce greenhouse gas emissions ?
1. Montreal protocol
2. Kyoto protocal 
3. UNECD earth summit
4. Alma Atta conference 

Catalytic converters on motor vehicle exhausts are a way of trying to reduce the carbon monoxide and nitrogen oxide emissions. Which of the following are correct?
I. The catalyst used is either platinum or a combination of platinum and rhodium.
II. The platinum catalyses the reaction of cO and NO to form CO2 and N2 gas
III. The rhodium catalyses the reaction of unburnt hydrocarbon and O2 to produce CO2 and H20 vapor
IV. The reduction of NO to N2 must proceed more quickly than the oxidation of CO to CO2 or else all the CO will be oxidized to carbon dioxide before it can be used to reduce the nitric oxide
V. Motor vehicles can only use catalytic converters if they use unleaded petrol since the lead in petrol renders the catalyst inactive.
1. I, II, III
2. IV, V
3. I, III, IV
4. III, IV, V

AB crystallizes in a body-centred cubic lattice with edge length a equal to 387 pm. The distance between two oppositely charged ions in the lattice will be : 
1. 250 pm
2. 200 pm
3. 300 pm
4. 335 pm

The vapour pressure of water at room temperature is 30 mm of Hg. If the mole fraction of the water is 0.9, the vapour pressure of solution will be
1. 30 mm of Hg
2. 24 mm of HG
3. 21 mm of Hg
4. 27 mm of Hg
 

The van't Hoff factor of a 0.005 M aqueous solution of KCl is 1.95. The degree of ionisation of KCl is-
1. 0.95
2. 0.97
3. 0.94
4. 0.96

Colloidal solution of gold prepared by different methods of different colours because of:
1. different diameters of colloidal gold particles
2. variable valency of gold
3. different concentration of gold particles
4. impurities produced by different methods

From the following, which is the most basic hydroxide?
1. Ce(OH)₃
2. Lu(OH)₃
3. Yb(OH)₃
4. Tb(OH)₃

Which is colorless in water?
1. Ti³⁺
2. V³⁺
3. Cr³⁺
4. Sc³⁺

[Cu(NH₃)₄]²⁺ is complex which have
1. Square planar structure and diamagnetic nature
2. Tetrahedral structure and paramagnetic nature
3. Square planar structure and paramagnetic nature
4. Tetrahedral structure and diamagnetic behaviour.

The number of ions formed in K₄[Fe(CN)₆] are
1. 11
2. 5
3. 4
4. 9

The main reason for a larger number of oxidation states exhibited by the actinoids than the corresponding lanthanoids is
1. The lesser energy difference between 5f and 6d orbitals than 4f and 5d orbitals
2. Larger atomic size of actinoids than the lanthanoids
3. More energy difference between 5f and 6d orbitals than between 4f and 5d orbitals
4. Greater reactive nature of the actinoids than the lanthanoids

CrO₄^2- and MnO₄^- are strong yellow and intense purple  respectively in aqueous solution The darkening of colour is due to
1. charge transfer
2. d-d transition
3. half-filled d-sub shells
4. increasing number of unpaired electron

The solution having highest vapour pressure is (Assume 100% ionisation of electrolytes)
1. 1 N KNO₃
2. 1 N Ba(NO₃)₂
3. 1 N Al₂(SO₄)₃
4. 1 N Th(NO₃)₄
 

The paramagnetic oxides of nitrogen are:
1. NO, N₂O
2. NO₂, NO, N₂O
3. NO, NO₂
4. NO₂, N₂O

In the dichromate ion Cr₂O₇^2-,
1. 4 Cr-O bonds are equivalent
2. 6 Cr-O bonds are equivalent
3. All Cr-O bonds are equivalent
4. None of Cr-O bonds are equivalent
 

The correct order of boiling points for group 16 hydrides is:
1. H₂O < H₂S < H₂Se < H₂Te
2. H₂Te < H₂Se < H₂S < H₂O
3. H₂S < H₂Se < H₂Te < H₂O
4. H₂O < H₂Te < H₂Se < H₂S

S-S bond is present in
1. H₂S₂O₇
2. H₂S₂O₈
3. H₂SO₅
4. H₂S₂O₆

Which is correctly given according to other indicated?
1. F₂<Cl₂<Br₂<I₂ (oxidising Power)
2. HI>HBr>HCl>HF (Acidic strength)
3. Cl₂<Br₂<F₂<I₂ (Bond Energy)
4. HF< HI<HCl< HBr (Boiling point)​

An amine gives a solid compound that is insoluble in alkali with benzene sulphonyl chloride.
The amine is -
1. ${\mathrm{CH}}_3-{\mathrm{CH}}_2-{\mathrm{NH}}_2$
2. ${\mathrm{CH}}_3-\mathrm{NH}-{\mathrm{CH}}_2-{\mathrm{CH}}_3$
3. $({\mathrm{CH}}_3{)}_3\mathrm{N}$
4. ${\mathrm{C}}_6{\mathrm{H}}_5-{\mathrm{NH}}_2$

The compound A and B respectively are

The final compound 'B' in the below reaction is:

1.		2.
3.		4.

Alkyl isocyanide on hydrolysis produces: 

A non-reducing sugar among the following is-
1. Glucose
2. Fructose
3. Sucrose
4. Galactose

Buna-s is a polymer of
1. Butadiene and Styrene
2. Butene and Styrene
3. Butadiene and Chloroprene
4. Butene and Salicylaldehyde

Glucose and Mannose are
1. C₁ epimers
2. Anomers
3. C₂ epimers
4. C₄ epimers

Arrange the following compouds in the order of leaving group ability
           
       
1. I > II > III > IV
2. IV > III > I > II
3. III > II > I > IV
4. II > III > IV > I

The strongest acid among the following aromatic compounds is -

Identify the product (c) in the series
CH₃CN$\stackrel{\mathrm{Na}/{\mathrm{C}}_2{\mathrm{H}}_5\mathrm{OH}}{\to }$A$\stackrel{\mathrm{HNO}2}{\to }$B$\stackrel{{\mathrm{KMnO}}_4,{\mathrm{H}}^{+}}{\to }$C
1. CH₃COOH
2. CH₃CH₂NHOH
3. CH₃CONH₂
4. CH₃CHO

In the reaction

The oxidizing agent can be
1. alkaline KMnO₄
2. acidified K₂Cr₂O₇
3. benedict's solution
4. All of the above

Benzoylchloride is prepared from benzoic acid by 
1. ${\mathrm{Cl}}_2$, hv                           
2. ${\mathrm{SO}}_2$, ${\mathrm{Cl}}_2$
3. ${\mathrm{SOCl}}_2$                         
4. ${\mathrm{Cl}}_2$, ${\mathrm{H}}_2\mathrm{O}$

Which haloarenes is most reactive towards electrophilic substitution reaction?

1.		2.
3.		4.

In the circuit shown in figure, energy stored in 6 $\mathrm{\mu F}$ capacitor will be:
 

The figure shows a particle of charge q and mass m moving with velocity v along the x-axis enters a region of the uniform magnetic field. The minimum value of v so that the charge q is deflected by an angle $30°$ is
                                       
1.  $\frac{2\mathrm{qB}\left(\mathrm{b} - \mathrm{a}\right)}{\mathrm{m}}$
2.  $\frac{\mathrm{qB}\left(\mathrm{b} + \mathrm{a}\right)}{2\mathrm{m}}$
3.  $\frac{\mathrm{qB}\left(\mathrm{b} - \mathrm{a}\right)}{\mathrm{m}}$
4.  $\frac{\mathrm{qBb}}{2\mathrm{m}}$

The frequency Of radiation emitted during the transition of an electron from a second excited state to a first excited state in H-atom is ${\mathrm{f}}_0.$ The frequency of the same transition emitted by a singly ionized He ion is
1.  $2{\mathrm{f}}_0$
2.  $4{\mathrm{f}}_0$
3.  $\frac{{\mathrm{f}}_0}{2}$
4.  $\frac{{\mathrm{f}}_0}{4}$

When the electron of a hydrogen-like atom jumps from a higher energy level to a lower energy level, then,
1.  the angular momentum of the electron remains constant.
2.  the kinetic energy of the electron increases.
3.  the wavelength of the de-Broglie wave associated with the motion of the electron increases.
4.  the potential energy increases.

The figure shows some of the equipotential surfaces. Magnitude and direction of the electric field is given by
           
1.  200 V/m, making an angle ${120}^0$ with the x-axis
2. 100 V/m, pointing towards the negative x-axis
3. 200 V/m, making an angle $-{60}^0$ with the x-axis
4. 100 V/m, making an angle ${30}^0$ with the x-axis

The conductivity of an n-type semiconductor whose density of conduction electrons is ${\mathrm{n}}_{\mathrm{e}}$, Density of holes is ${\mathrm{n}}_{\mathrm{h}}$, Mobility of conduction electrons is ${\mathrm{m}}_{\mathrm{e}}$and Mobility of holes is ${\mathrm{m}}_{\mathrm{h}},$ will be
1.  $\mathrm{e}\left[{\mathrm{n}}_{\mathrm{e}}{\mathrm{m}}_{\mathrm{h}} + {\mathrm{n}}_{\mathrm{e}}{\mathrm{m}}_{\mathrm{e}}\right]$
2.  $\mathrm{e}\left[{\mathrm{n}}_{\mathrm{e}}{\mathrm{m}}_{\mathrm{e}} + {\mathrm{n}}_{\mathrm{h}}{\mathrm{m}}_{\mathrm{e}}\right]$
3.  ${\mathrm{en}}_{\mathrm{e}}\left[{\mathrm{m}}_{\mathrm{e}} + {\mathrm{m}}_{\mathrm{h}}\right]$
4.  $\mathrm{e}\left[{\mathrm{n}}_{\mathrm{e}}{\mathrm{m}}_{\mathrm{e}} + {\mathrm{n}}_{\mathrm{h}}{\mathrm{m}}_{\mathrm{h}}\right]$

A ray of light incident on an equilateral prism at grazing incidence emerges from the prism at grazing emergence. The Refractive index of the prism is:
1. 1.5
2. 1.8
3. 1.33
4. 2

What is the angle between the electric dipole moment and the electric field strength due to it on the equatorial line?
1. $0°$
2. $90°$
3. $180°$
4. None of these

An air capacitor of capacity $C=10\mu F$ is connected to a constant voltage battery of 12 V. Now the space between the plates is filled with a liquid of dielectric constant 5. The charge that flows now from battery to the capacitor is
1. 120 $\mu C$
2. 699 $\mu C$
3. 480 $\mu C$
4. 24 $\mu C$

The drift velocity of free electrons in a conductor is \(v\) when a current \(i\) is flowing in it. If both the radius and current are doubled, then the drift velocity will be:
1.  \(v\)
2. \(\frac{v}{2}\)$$
3. \(\frac{v}{4}\)$$
4. \(\frac{v}{8}\)

A battery has e.m.f. 4 V and internal resistance r. When this battery is connected to an external resistance of 2 ohm, a current of 1 ampere flows in the circuit. How much current will flow if the terminals of the battery are connected directly?

An electron is traveling along the x-direction. It encounters a magnetic field in the y-direction. Its subsequent motion will be:
1.  Straight-line along the x-direction
2.  A circle in the xz-plane
3.  A circle in the yz-plane
4.  A circle in the xy-plane
 

A coil has, 1,000 turns and 500 $c{m}^2$ as its area. The plane of the coil is placed at right angles to a magnetic field of $2\times {10}^{-5} Wb/m^2$. The coil is rotated through 180$°$ in 0.2. The average e.m.f. induced in the coil, in milli-volts, is
1. 5
2. 10
3. 15
4. 20

In a step-up transformer, the turn ratio is 1:2. A Leclanche cell (e.m.f. 1.5V) is connected across the primary coil. The voltage developed in the secondary coil would be-
1. 3.0 V
2. 0.75 V
3. 1.5 V
4. Zero

A resistance of 20 ohms is connected to a source of an alternating potential V = 220 sin($100 \mathrm{\pi t}$). The time taken by the current to change from its peak value to r.m.s value is :
1.  0.2 sec
2.  0.25 sec
3.  $25 \mathrm{x} {10}^{-3} \sec$
4.  $2.5 \mathrm{x} {10}^{-3} \sec$

A 220 V, 50 Hz ac source is connected to an inductance of 0.2 H and a resistance of 20 ohms in series. What is the current in the circuit :

1.  10A
2.  5A
3.  33.3A
4.  3.33A
 

The energy of a hydrogen atom in its ground state is —13.6 eV. The energy of the level corresponding to the quantum number n = 2 (first excited state) in the hydrogen atom is:
1. -2.72 eV
2. - 0.85 eV
3. -0.54 eV
4. — 3.4 eV
 

A chain reaction is continuous due to
1.  Large mass defect
2.  Large energy
3.  Production of more neutrons in fission
4.  None of these

After five half-lives what will be the fraction of the initial substance
1.  ${\left(\frac{1}{2}\right)}^{10}$
2.  ${\left(\frac{1}{2}\right)}^5$
3.  ${\left(\frac{1}{2}\right)}^4$
4.  ${\left(\frac{1}{2}\right)}^3$

When the temperature of the silicon sample is increased from $27° \mathrm{C}$ to $100° \mathrm{C}$, the conductivity of silicon will be
1.  Increased
2.  Decreased
3.  Remain same
4.  Zero
 

Absolute refractive indices of glass and water are 3/2 and 4/3. The ratio of velocity of light in glass and water will be
1.  4:3
2.  8:7
3.  8:9
4.  3:4

Due to Doppler's effect, the shift in wavelength observed is 0.1 $\stackrel{\circ }{\mathrm{A}}$ for a star producing wavelength 6000 $\stackrel{\circ }{\mathrm{A}}$. Velocity of recession of the star will be
1. 2.5 km/s
4. 10 km/s
3. 5 km/s
4. 20 km/s

A thin equiconvex lens of power P is cut into three parts A, B, and C as shown in the figure. If ${\mathrm{P}}_1, {\mathrm{P}}_2, \mathrm{and} {\mathrm{P}}_3$ are powers of the three parts respectively, then
                                                   
1.  ${\mathrm{P}}_1 = {\mathrm{P}}_2 = {\mathrm{P}}_3$
2.  ${\mathrm{P}}_1 > {\mathrm{P}}_2 = {\mathrm{P}}_3$
3.  ${\mathrm{P}}_1 < {\mathrm{P}}_2 = {\mathrm{P}}_3$
4.  ${\mathrm{P}}_2 = {\mathrm{P}}_3 = 2{\mathrm{P}}_1$

A light beam containing red, yellow and blue color, falls on the interface of glass air as shown. If the yellow light is just totally internally reflected, then emergent ray in air contains-
                                              
1.  Both red and blue color
2.  Only red color
3.  Only blue color
4.  No color

Focal lengths of objective and eyepiece of a compound microscope are 2 cm and 6.25 cm respectively. An object AB is placed at a distance of 2.5 cm from the objective which forms the image B'A' as shown in the figure. Maximum magnifying power in this case is :
                                              
1.  10
2.  20
3.  5
4.  25

The output Y of the logic gate circuit shown in figure is best represented as

1. $\overline{A}+(A.B)$
2. $A+\overline{(A+B)}$
3. A+(A.B)
4. $\overline{A}+\overline{(A.B)}$

Two identical equiconvex thin lenses each of focal lengths 20 cm, made of material of refractive index 1.5 are placed coaxially in contact as shown. Now, the space between them is filled with a liquid with a refractive index of 1.5. The equivalent power of this arrangement will be:

The length of an astronomical telescope adjusted for parallel light is 90 cm. If the magnifying power of the telescope is 17, then the focal length of eyepiece and objective are respectively:

A transistor is used in common emitter mode in an amplifier circuit. When a signal of 10 mV is added to the base-emitter voltage, the base current changes by 15 $\mu$A and the collector current changes by 1.5 mA. The current gain b will be
1.  50
2.  48
3.  100
4.  200

The current through an ideal p-n junction diode shown in the circuit will be -
                                       
1.  5 A
2.  0.2 A 
3.  0.6 A
4.  Zero

The dependence of binding energy per nucleon, ${\mathrm{B}}_{\mathrm{N}}$ on the mass number, A, is represented by

The de-Broglie wavelength of a body of mass 1 kg moving with a velocity of 2000 m/s is
1.  $3.32 \mathrm{x} {10}^{-27} \stackrel{\mathrm{o}}{\mathrm{A}}$
2.  $1.5 \mathrm{x} {10}^7 \stackrel{\mathrm{o}}{\mathrm{A}}$
3.  $0.55 \mathrm{x} {10}^{-22} \stackrel{\mathrm{o}}{\mathrm{A}}$
4.  None of these

Light of wavelength 4000 Å falls on a photosensitive metal and a negative 2V potential stops the emitted electrons.
The work function of the material (in eV) is approximately 
$\left(\mathrm{h}=6.6 \mathrm{x} {10}^{-34} \mathrm{Js}, \mathrm{e}=1.6 \mathrm{x} {10}^{-19} \mathrm{C}, \mathrm{c}=3 \mathrm{x} {10}^8 {\mathrm{ms}}^{-1}\right)$
1.  1.1
2.  2.0
3.  2.2
4.  3.1

The refractive index of the material of the prism for violet colour is 1.69 and that for red is 1.65. If the refractive index for mean colour is 1.66, the dispersive power of the material of the prism
1.  0.66
2.  0.06
3.  0.65
4.  0.69
 

If the wavelength of light used is halved and the numerical aperture of the compound microscope is doubled, then its resolving power will
1. Remain unchanged
2. Doubled
3. Halved
4. Quadrupled

In the situation shown, the incident monochromatic ray retraces its path after its incidence on the silvered surface. The speed of light inside the prism will be
                                        
1.  $3 \mathrm{x} {10}^8 {\mathrm{ms}}^{-1}$
2.  $2 \mathrm{x} {10}^8 {\mathrm{ms}}^{-1}$
3.  $1.41 \mathrm{x} {10}^8 {\mathrm{ms}}^{-1}$
4.  $1.73 \mathrm{x} {10}^8 {\mathrm{ms}}^{-1}$

Which of these structures contributes the greatest percentage to semen ?
1. Bulbourethral glands
2. Prostate
3. Seminal vesicles
4. Testes

Vasectomies:
1. Inhibit testosterone production
2. Prevent sperm from entering the semen
3. Inhibit spem production
4. Interfere with male potency

A point charge q is placed over a horizontal square of side L at a normal distance of L/3 from its centre. Electric flux through the square is 
1. $\mathrm{\varphi }=\frac{\mathrm{q}}{6{\mathrm{\epsilon }}_0}$
2. $\mathrm{\varphi }<\frac{\mathrm{q}}{6{\mathrm{\epsilon }}_0}$
3. $\frac{\mathrm{q}}{6{\mathrm{\epsilon }}_0}<\mathrm{\varphi }<\frac{\mathrm{q}}{{\mathrm{\epsilon }}_0}$
4. $\mathrm{\varphi }>\frac{\mathrm{q}}{6{\mathrm{\epsilon }}_0}$