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Which one of the following graphs represents the variation of maximum kinetic energy \((E_k)\) of the emitted electrons with frequency \(\nu\) in photoelectric effect correctly?  

1.		2.
3.		4.

A vessel of height \(2~d\) is half filled with a liquid of refractive index \(\sqrt2\) and the other half with a liquid of refractive index \(n\) (the given liquids are immiscible). Then, the apparent depth of the inner surface of the bottom of the vessel (neglecting the thickness of the bottom of the vessel) will be:
1. \(\frac{n}{d(n+\sqrt{2})}\)
2. \(\frac{d(n+\sqrt{2})}{n \sqrt{2}}\)
3. \(\frac{\sqrt{2} n}{d(n+\sqrt{2})}\)
4. \(\frac{n d}{d+\sqrt{2} n}\)

An electric bulb has a rated power of \(50\) W at \(100\) V. If it is used on an AC source \(200\) V, \(50\) Hz, a choke has to be used in series with it. This choke should have an inductance of:
1. \(0.1\) mH
2. \(1\) mH
3. \(0.1\) H
4. \(1.1\) H

A parallel plate capacitor with air as the dielectric has capacitance \(C.\) A slab of dielectric constant \(K\) having the same thickness as the separation between the plates is introduced so as to fill one-fourth of the capacitor as shown in the figure. The new capacitance will be: 
        
1. \((K+3)\frac C4\)
2. \((K+2)\frac C4\)
3. \((K+1)\frac C4\)
4. \(\frac{KC}{4}\)

Three concurrent co-planar forces \(1\) N, \(2\) N and \(3\) N acting along different directions on a body.
Choose the correct statement:

The work done by force acting on a body is as shown in the graph. The total work done in covering an initial distance of \(20\) m is: 
     
1. \(212.5\) J
2. \(200\) J
3. \(400\) J
4. \(175\) J

Horizontal tube of non-uniform cross-section has radii of \(0.1\) m and \(0.05\) m respectively at M and N. For a streamlined flow of the liquid, the rate of liquid flow is:
    
 

A coil of \(n\) number of turns is wound tightly in the form of a spiral with inner and outer radii \(a\) and \(b\) respectively. When a current of strength \(I\) am passed through the coil, the magnetic field at its centre is:
1. \(\frac{\mu_{_0}nI}{(b-a)}\log_e\frac ab\)
2. \(\frac{\mu_{_0}nI}{2(b-a)}\)
3. \(\frac{\mu_{_0}nI}{b}\)
4. \(\frac{\mu_{_0}nI}{2(b-a)}\log_e\frac ba\)

A police party is moving in a jeep at a constant speed \(v.\) They saw a thief at a distance \(x\) on a motorcycle which is at rest. The moment the police saw the thief, the thief started at constant acceleration which of the following relations is true if the police is able to catch the thief?
1. \(v^2<ax\)
2. \(v^2<2ax\)
3. \(v^2\geq 2ax\)
4. \(v^2=ax\)

The thermo emf of a hypothetical thermocouple varies with the temperature \(\theta\) of the hot junction as \(E=a\theta+b\theta^2\) in volts, where the ratio is \(\frac ab\) is \(700~^\circ \mathrm{C}.\) If the cold junction is kept at \(0~^\circ \mathrm{C},\) then the neutral temperature is:

A launching vehicle carrying an artificial satellite of mass \(m\) is set for launch on the surface of the earth of mass \(M\) and radius \(R.\) If the satellite is intended to move in a circular orbit of radius \(7R,\) the minimum energy required to be spent by the launching vehicle on the satellite is:
(Gravitational constant= \(G\))
1. \(\frac{GMm}{R}\)
2. \(-\frac{13GMm}{14R}\)
3. \(\frac{GMm}{7R}\)
4. \(-\frac{GMm}{14R}\)

The two lenses of an achromatic doublet should have:

If the ratio of lengths, radii and Young's modulus of steel and brass wires shown in the figure are \(a,\) \(b\) and \(c\) respectively, the ratio between the increase in lengths of brass and steel wires would be:
          
1. \( \frac{{b}^{2}a}{2c}\)
2. \( \frac{bc}{2{a}^{3}}\)
3. \( \frac{{ba}^{2}}{2c}\)
4. \( \frac{a}{2{b}^{2}c}\)

A soap bubble of radius \(r\) is blown up to form a bubble of radius \(2r\) under isothermal conditions. If \(T\) is the surface tension of the soap solution, the energy spent in the blowing is:
1. \(3\pi Tr^2\)
2. \(6\pi Tr^2\)
3. \(12\pi Tr^2\)
4. \(24\pi Tr^2\)

A current of \(1.6\) A is passed through a solution of CuSO₄. How many Cu⁺⁺ ions are liberated in one minute? (Electronic charge= \(1.6\times10^{-19}\) C)
1. 3 × 10²⁰
2. 3 × 10¹⁰
3. 6 × 10²⁰
4. 6 × 10¹⁰

In an \(LCR\) circuit inductance is changed from \(L\) to \(L/2.\) To keep the same resonance frequency, \(C\) should be changed to:
1. \(2C\)
2. \(\frac C2\)
3. \(4C\)
4. \(\frac C4\)

      
1. \(0.01\) m
2. \(0.02\) m
3. \(0.05\) m
4. \(0.03\) m

 \(y=3\sin\pi\Big(\frac t2-\frac x4\Big),\) represents an equation of a progressive wave, where \(t\) is in second and \(x\) is in meter. The distance travelled by the wave in \(5\) seconds is:
1. \(8\) m
2. \(10\) m
3. \(5\) m
4. \(32\) m

A body of mass \(m_1=4~\mathrm{kg}\) moves at \(5i~\mathrm{m/s}\) and another body of mass \(m_2=2~\mathrm{kg}\) moves at \(10i~\mathrm{m/s}\). The kinetic energy of the centre of mass is:
1. \(\frac{200}{3}~\text J\)
2. \(\frac{500}{3}~\text J\)
3. \(\frac{400}{3}~\text J\)
4. \(\frac{800}{3}~\text J\)

A wheel of radius \(0.4~\mathrm{m}\) can rotate freely about its axis as shown in the figure. A string is wrapped over its rim, and a mass of \(4~\mathrm{kg}\) is hung. An angular acceleration of \(8~\mathrm{rad/s^2}\) is produced in it due to the torque. Then, moment of inertia of the wheel is: (Take \(g=10\) ms^-2) 
 
1. \(2~\mathrm{kg-m^2}\) 
2. \(1~\mathrm{kg-m^2}\) 
3. \(4~\mathrm{kg-m^2}\) 
4. \(8~\mathrm{kg-m^2}\) 

A coin is dropped in a lift. It takes time \(t_1\) to reach the floor when the lift is stationary. It takes time \(t_2\) when the lift is moving up with constant acceleration. Then, what is the relationship between \(t_1\) and \(t_2 ?\)
1. \(t_1>t_2\)
2. \(t_2>t_1\)
3. \(t_1=t_2\)
4. \(t_1>>t_2\)

The engine of a jet aircraft applies a thrown force of \(10^5\) N during takeoff and causes the plane to attain a velocity of \(1\) km/s in \(10\) s. The mass of the plane is:
1. \(10^2\) kg
2. \(10^3\) kg
3. \(10^4\) kg
4. \(10^5\) kg

A hollow sphere of volume \(V\) is floating on water surface with half immersed in it. What should be the minimum volume of water poured inside the sphere so that the sphere now sinks into the water?
1. \(\frac V2\)
2. \(\frac V3\)
3. \(\frac V4\)
4. \(V\)

Which one of the following sets of quantum numbers represents the highest energy level in an atom?
1. \(n=4,l=0,m=0,s=+\frac12\)
2. \(n=3,l=1,m=1,s=+\frac12\)
3. \(n=3,l=2,m=-2,s=+\frac12\)
4. \(n=3,l=0,m=0,s=+\frac12\)

For the homogeneous reaction, 
    \(4NH_3+5O_2~\rightleftharpoons~4NO+6H_2O\)
The equilibrium constant K, has the units:
1. Conc.⁺¹⁰
2. Conc.⁺¹
3. Conc.^-1
4. It is dimensionless

Urea synthesis occurs in:

Out of the four alternatives, choose the one which expresses the correct meaning of the given word and mark the appropriate answer in the Answer Sheet.
Felicity:
1.  prosperity
2.  honesty
3.  bliss
4.  sorrow

Out of the four alternatives, choose the one which expresses the correct meaning of the given word and mark the appropriate answer in the Answer Sheet.
Irreproachable:
1.  remarkable
2.  extraordinary
3.  faultless
4.  immense

Out of the four alternatives, choose the one which expresses the correct meaning of the given word and mark the appropriate answer in the Answer Sheet.
Knave:
1.  emperor
2.  enchanter
3.  soldier
4.  scoundrel

Out of the four alternatives, choose the one which expresses the correct meaning of the given word and mark the appropriate answer in the Answer Sheet.
Frontier:
1.  edge
2.  landmark
3.  boundary
4.  corner

Out of the four alternatives, choose the one which expresses the correct meaning of the given word and mark the appropriate answer in the Answer Sheet.
Rout:
1.  death
2.  defeat
3.  loss
4.  crash

Choose the word opposite meaning to the given word and mark the appropriate answer in the Answer Sheet. Niggardly:
1.  hastily
2.  lavishly
3.  radiant
4.  gorgeously

Choose the word opposite meaning to the given word and mark the appropriate answer in the Answer Sheet. Melodious:
1.  harmonious
2.  tuneless
3.  odious
4.  mellifluous

Choose the word opposite meaning to the given word and mark the appropriate answer in the Answer Sheet. Advanced:
1.  progressed
2.  outpaced
3.  receded
4.  retarded

In these questions, four words are given in each question, out of which only one word is wrongly spelt. Find the word and indicate it in the Answer Sheet. In these questions, four words are given in each question, out of which only one word is wrongly spelt. Find the word and indicate it in the Answer Sheet.
1.  quadruple
2.  quagmire
3.  quadrangle
4.  quadrant

In these questions, four words are given in each question, out of which only one word is wrongly spelt. Find the word and indicate it in the Answer Sheet. In these questions, four words are given in each question, out of which only one word is wrongly spelt. Find the word and indicate it in the Answer Sheet.
1.  postar
2.  pastor
3.  posture
4.  pasture

Directions: In these questions, four words are given in each question, out of which only one word is wrongly spelt. Find the word and indicate it in answer Sheet. In these questions, four words are given in each question, out of which only one word is wrongly spelt. Find the word and indicate it in answer Sheet.
1.  reference
2.  preference
3.  difference
4.  performance

Directions: In these questions, four words are given in each question, out of which only one word is wrongly spelt. Find the word and indicate it in Answer Sheet. In these questions, four words are given in each question, out of which only one word is wrongly spelt. Find the word and indicate it in Answer Sheet.
1.  agreeably
2.  cruelly
3.  doubtfully
4.  fatally

Directions: Four alternatives are given for the bold words of given idiom/phrase. Choose the alternative which best expresses the meaning of the bold words of given idiom/phrase and mark the appropriate answer in the Answer Sheet. His parents cut him off, without a shilling
1.  disinherited him
2.  snubbed him
3.  gave him only a shilling
4.  sent him away with a shilling

Directions: Four alternatives are given for the bold words of given idiom/phrase. Choose the alternative which best expresses the meaning of the bold words of given idiom/phrase and mark the appropriate answer in the Answer Sheet. The carefully worked-out plan fell through because of an unexpected event
1.  came out successfully
2.  had a steep fall
3.  was shattered
4.  failed

Directions: Four alternatives are given for the bold words of given idiom/phrase. Choose the alternative which best expresses the meaning of the bold words of given idiom/phrase and mark the appropriate answer in the Answer Sheet. He has too many irons in the fire
1.  is engaged in too many enterprises at the same time
2.  has several problems
3.  has many ideas in his head
4.  has a fire burning constantly in his house

Directions: Four alternatives are given for the bold words of given idiom/phrase. Choose the alternative which best expresses the meaning of the bold words of given idiom/phrase and mark the appropriate answer in the Answer Sheet. We wanted to give Rita a surprise party but John let the cat out of the bag
1.  spoilt the party with a cat
2.  gave her a party himself
3.  told her about it unintentionally
4.  prevented her from attending it

Directions: Out of the four alternatives, choose the one which can be substituted for given words/sentence and mark the appropriate option in the Answer Sheet. Study of insects is
1.  Etymology
2.  Entomology
3.  Ecology
4.  Embryology

Directions: Out of the four alternatives, choose the one which can be substituted for given words/sentence and mark the appropriate option in the Answer Sheet. Careful in the spending of money, time etc.
1.  Punctual
2.  Economical
3.  Miserly
4.  Calculative

Directions: Out of the four alternatives, choose the one which can be substituted for given words/sentence and mark the appropriate option in the Answer Sheet. Reproducing or memorizing word for word
1.  Verbatim
2.  Verbose
3.  Verbiage
4.  Verbalism

Directions: Out of the four alternatives, choose the one which can be substituted for given words/sentence and mark the appropriate option in the Answer Sheet. That which cannot be captured
1.  Untakable
2.  Ungrippable
3.  Impregnable
4.  Slippery

Directions: Out of the four alternatives, choose the one which can be substituted for given words/sentence and mark the appropriate option in the Answer Sheet. One who breaks the law
1.  Aggressor
2.  Politician
3.  Transgressor
4.  Pedestrian

Directions: A part of the sentence is given in bold. Below are given alternatives to the bold part at (a), (b) and (c). Which may improve the sentence. Choose the correct alternative. In case no improvement is needed your answer is (d). Mark the appropriate option in the Answer Sheet. The way to solve the racial problem is by
1.  because of
2.  thanks to
3.  on account of
4.  No improvement

Directions: A part of the sentence is given in bold. Below are given alternatives to the bold part at (a), (b) and (c). Which may improve the sentence. Choose the correct alternative. In case no improvement is needed your answer is (d). Mark the appropriate option in the Answer Sheet. He may be poor now but he appears to be rich.
1.  to seem rich
2.  rich to be
3.  to have been rich
4.  No improvement

Directions: A part of the sentence is given in bold. Below are given alternatives to the bold part at (a), (b) and (c). Which may improve the sentence. Choose the correct alternative. In case no improvement is needed your answer is (d). Mark the appropriate option in the Answer Sheet. The suspected couple was taken away from the airport through a side entrance to the police station for interrogation.
1.  whisked
2.  rushed
3.  guided
4.  No improvement

Directions: A part of the sentence is given in bold. Below are given alternatives to the bold part at (a), (b) and (c). Which may improve the sentence. Choose the correct alternative. In case no improvement is needed your answer is (d). Mark the appropriate option in the Answer Sheet. She left the room feeling contrite.
1. sorry for what she had done
2.  rather ill
3.  extremely irritated
4.  No improvement

I think the essence of wisdom is emancipation as far as possible, from the tyranny of the here and now.

6. It is this approach towards impartiality that constitutes growth in wisdom.
1.  QRSP
2.  RQPS
3.  SRPQ
4.  PRSQ

But at the moment I glanced around at the crowd that had followed me.

6. They did not like me, but with the magical rifle in my hands, I was momentarily worth watching.
1.  RPQS
2.  QSRP
3.  SRPQ
4.  PSRQ

There are many roads into the world of books, but the way of fiction is probably the most common.

6. Mankind's delight in stories is as timeless and universal as the art of the story teller.
1.  QSRP
2.  SRPQ
3.  RSQP
4.  PRSQ

Nehru spent most part of his childhood in studies.

6. Till the end of his career, he made Gandhi his political master.
1.  RSQP
2.  SRQP
3.  PQRS
4.  SRPQ

Venice is a strange and beautiful city in the North of Italy.

6. This is because Venice has no streets.
1.  PQRS
2.  RSPQ
3.  SRPQ
4.  PSQR

We warned her ......... the danger
1.  from
2.  about
3.  against
4.  of

We all laughed ............ the affair
1.  over
2.  about
3.  for
4.  on

The chairman, as well as the members ??? to blame for this misfortune.
1.  are
2.  were
3.  is
4.  has

 The streets are lighted ........... electricity
1.  with
2.  by
3.  on
4.  in

Homeopathic treatment, they say, cuts ........ the need for operation and risk from surgery.
1.  off
2.  out
3.  down
4.  away

They prefer curving pathways because
1.  they are inauspicious
2.  they can walk easily
3.  they stumble over straight ones
4.  good spirits walk in them

Abundance means
1.  long life
2.  happiness
3.  plenty
4.  permanent

The Japanese parents plant a sapling at the time of birth of a child because
1.  it is auspicious to plant a sapling
2.  it is closely associated with the growth of the child
3.  it gives longevity to the child
4.  it gives happiness to the child

According to the passage the Japanese are
1.  superstitious
2.  philosophical
3.  lovers of nature
4.  lovers of numerology

The Japanese pathways tend to be
1.  symbolic
2.  beautiful
3.  curved
4.  straight