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# Question Paper (Section wise)

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Question 1
Positive Marks: 4 / Negative Marks: 1
•  1) The volume (V) of a monatomic gas varies with its temperature (T), as shown in the graph. The ratio of work done by the gas, to the heat absorbed by it, when it undergoes a change from state A to state B, is. 1. 2. 3. 4. •  2) The fundamental frequency in an open organ pipe is equal to the third harmonic of a closed organ pipe if the length of the closed organ pipe is 20 cm, the length of the open organ pipe is
1. 12.5 cm

2. 8 cm

3. 13.2 cm

4. 16 cm

•  3) The efficiency of an ideal heat engine working between the freezing point and boiling point of water, is
1. 6.25%

2. 20%

3. 26.8%

4. 12.5%

•  4) At what temperature will the rms speed of oxygen molecules become just sufficient for escape from the Earth's atmosphere? (Given: Mass of oxygen molecule (m) = 2.76 × 10-26kg
1. 5.016 × 104 K

2. 8.360 × 104 K

3. 2.508 × 104 K

4. 1.254 × 104 K

•  5) Unpolarised light is incident from air on a plane surface of a material of refractive index 'μ'. At a particular angle of incidence 'i', it is found that the reflected and refracted rays are perpendicular to each other, which of the following options is correct for this situation?
1. 2. Reflected light is polarised with its electric vector perpendicular to the plane of incidence

3. Reflected light is polarised with its electric vector parallel to the plane of incidence

4. •  6) In Young's double slit experiment the separation d between the slits is 2mm, the wavelength λ of the light used is 5896 Å and distance D between the screen and slits is 100 cm. It is found that the angular width of the fringes is 0.20°. To increase the fringe angular width to 0.21° (with same λ and D) the separation between the slits needs to be changed to
1. 2.1 mm

2. 1.9 mm

3. 1.8 mm

4. 1.7 mm

•  7) An astronomical refracting telescope will have large angular magnification and high angular resolution, when it has an objective lens of
1. large focal length and large diameter

2. large focal length and small diameter

3. small focal length and large diameter

4. small focal length and small diameter

•  8) The kinetic energies of a planet in an elliptical orbit about the Sun, at positions A, B and C are KA, KB and KC, respectively. AC is the major axis and SB is perpendicular to AC at the position of the Sun S as shown in the figure. Then 1. KB < KA < KC

2. KA > KB > KC

3. KA < KB < KC

4. KB > KA > KC

•  9) A solid sphere is in rolling motion. In rolling motion a body possesses translational kinetic energy (Kt) as well as rotational kinetic energy (Kr) simultaneously. The ratio Kt: (Kt + Kr) for the sphere is
1. 10:7

2. 5:7

3. 7:10

4. 2:5

•  10) Spring of force constant k is cut into length of ratio 1:2:3. They are connected in series and the new force constant is K’. Then they are connected in parallel and force constant is k”. then k’: k” is:
1. 1 : 9

2. 1 : 11

3. 1 : 14

4. 1 : 6

•  11) The ratio of resolving powers of an optical microscope for two wavelenght λ1 =4000 Å and λ2 =6000 Å is:
1. 9: 4

2. 3 : 2

3. 16 : 81

4. 8 : 27

•  12) The two nearest harmonics of a tube closed at one end and open at other end are 220 Hz and 260 Hz. What is the fundamental frequency of the system?
1. 20 Hz

2. 30 Hz

3. 40 Hz

4. 10 Hz

•  13) Consider a drop of rain water having mass 1g falling from a height of 1 km. It hits the ground with a speed of 50 m/s. Take ‘g’ constant with a value 10 m/s2. The work done by the gravitational force and the resistive force of air is:
1. (i) 1.25 J (ii)-8.25 J

2. (i) 100 J (ii) 8.75 J

3. (i) 10 J (ii)-8.75 J

4. (i) -10 J (ii) -8.25 J

•  14) A physical quantity of the dimension of length that can be formed out of c, G and is [c is velocity of light, G is universal constant of gravitation and e is charge]:
1. 2. 3. 4. •  15) Two rods A and B of different materials are welded together as shown in figure. Their thermal conductivities are K1 and K2. The thermal conductivity of the composite rod will be: 1. 2. K1 + K2

3. 2(K1 + K2)

4. •  16) A capacitor is charged by a battery. The battery is removed and another identical uncharged capacitor is connected in parallel. The total electrostatic energy of resulting system:
1. decreases by a factor of 2

2. remains the same

3. increases by a factor of 2

4. increases by a factor of 4

•  17) In a common emitter transistor amplifier the audio signal voltage across the collector is 3 V. The resistance of collector is 3 KΩ If current gain is 100 and the base resistance is 2 KΩ, the voltage and power gain of the amplifier is:
1. 15 and 200

2. 150 and 15000

3. 20 and 2000

4. 200 and 1000

•  18) Thermodynamic process are indicated in the following diagram.  1. P→c, Q→a, R→d, S→b

2. P→c, Q→d , R→b, S→a

3. P→d, Q→b, R→a, S→c

4. P→a, Q→c, R→d, S→b

•  19) A person can see clearly objects only when they lie between 50 cm and 400 cm from his eyes. In order to increase the maximum distance of distinct vision to infinity, the type and power of the correcting lens, the person has to use, will be
1. convex, + 0.15 diopter

2. convex, + 2.25 diopter

3. convex, - 0.25 diopter

4. convex, -0.2 diopter

•  20) A linear aperture whose width is 0.02 cm is placed immediately in front of a lens of focal length 60 cm. The aperture is illuminated normally by a parallel beam of wavelength 5 × 10-5 cm. The distance of the first dark band of the diffraction pattern from the center of the screen is
1. 0.15

2. 0.10

3. 0.25

4. 0.20

•  21) Electron of mass m with de – Broglie wavelength λ fall on the target in an X – ray tube. The cutoff wavelength (λ0) of the emitted X – ray is
1. 2. 3. 4. •  22) Photons with energy 5 eV are incident on a cathode C in a photoelectric cell. The maximum energy of emitted photoelectrons is 2 eV. When photons of energy 6 eV are incident on C, no photoelectrons will reach the anode A, if the stopping potential of A relative to C is
1. -3 V

2. +3 V

3. +4 V

4. -1 V

•  23) If an electron in a hydrogen atoms jumps from the 3 rd orbit to the 2 nd orbit, it emits a photo of wavelength λ. When it jumps from he 4th orbit to the 3rd orbit, the corresponding wavelength of the photon will be
1. 2. 3. 4. •  24) The half – life of a radioactive substance is 30 minutes. The time (in minutes) taken between 40% decay and 85 % decay of the same radioactive substance is
1. 60

2. 15

3. 30

4. 45

•  25) For CE transistor amplifier. The audio signal voltage across the collector resistance of 2kΩ is 4 v. if the current amplification factor of the transistor is 100 and the base resistance is 1 kΩ, then the input signal voltage is
1. 15 mV

2. 10 mV

3. 20 mV

4. 30 mV

•  26) The given circuit has two ideal diodes connected as shown in the figure below. The current flowing through the resistance R1 will be 1. 3.13 A

2. 2.5 A

3. 10.0 A

4. 1.43 A

•  27) What is the output Y in the following circuit when all the three inputs A, B, C are first 0 and then 1? 1. 1, 1

2. 0, 1

3. 0, 0

4. 1, 0

•  28) From a disc of a radius R and mass M, a circular hole of diameter R, whose rim passes through the centre is cut. What is the moment of inertia of the remaining part of the disc about a perpendicular axis, passing through the centre?
1. 15 MR2/32

2. 13 MR2/32

3. 11 MR2/32

4. 9 MR2/32

•  29) A square loop ABCD carrying a current i, is placed near and coplanar with a long straight conductor XY, carrying a current I, the net force on the loop will be: 1. 2. 3. 4. •  30) The magnetic susceptibility is negative for:
1. diamagnetic material only

2. paramagnetic material only

3. ferromagnetic material only

4. paramagnetic and ferromagnetic materials

•  31) A siren emitting a sound of frequency 800 Hz moves away from an observer towards a cliff at a speed of 15 ms-1. Then, the frequency of sound that the observer hears in the echo reflected from the cliff is: (Take velocity of sound in air = 330 ms-1)
1. 765 Hz

2. 800 Hz

3. 838 Hz

4. 885 Hz

•  32) A capacitor of 2 μF is charged as shown in the diagram. When the switch S is turned to position 2, the percentage of its stored energy dissipated is: 1. 0%

2. 20%

3. 75%

4. 80%

•  33) In a diffraction pattern due to a single slit of width ‘a’, the first minimum is observed at an angle 30° when light of wavelength 5000Å is incident on the slit. The first secondary maximum is observed at an angle of:
1. 2. 3. 4. •  34) At what height from the surface of earth the gravitation potential and the value of g are –5.4 × 107J kg-2 and 6.0 ms-2 respectively? Take the radius of earth as 6400 km.
1. 2600 km

2. 1600 km

3. 1400 km

4. 2000 km

•  35) Out of the following options which one can be used to produce a propagating electromagnetic wave?
1. A charge moving at constant velocity.

2. A stationary charge

3. A chargeless particle

4. An accelerating charge

•  36) Two identical charged spheres suspended from a common point by two massless strings of lengths l, are initially at a distance d (d << l) apart because of their mutual repulsion. The charges begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity ν. Then ν varies as a function of the distance x between the spheres, as:
1. 2. 3. 4. •  37) The cylindrical tube of a spray pump has radius R, one end of which has n fine holes, each of radius r. If the speed of the liquid in the tube is V, the speed of the ejection of the liquid through the holes is-
1. 2. 3. 4. •  38) Point masses m1 and m2 are placed at the opposite ends of a rigid rod of length L, and negligible mass. The rod is to be set rotating about an axis perpendicular to it. The position of point P on this rod through which the axis should pass so that the work required to set the rod rotating with angular velocity ɷ0 is minimum, is given by: 1. 2. 3. 4. •  39) A proton and an alpha particle both enter a region of uniform magnetic field B, if the radius of circular orbits for both the particles is equal and the kinetic energy acquired by proton is 1 MeV, the energy acquired by the alpha particle will be-
1. 4 MeV

2. 0.5 MeV

3. 1.5 MeV

4. 1 MeV

•  40) A plank with a box on it at one end is gradually raised about the other end. As the angle of inclination with the horizontal reaches 30°, the box starts to slip and slides 4.0 m down the plank in 4.0 s. The coefficients of static and kinetic friction between the box and the plank will be, respectively- 1. 0.6 and 0.6

2. 0.6 and 0.5

3. 0.5 and 0.6

4. 0.4 and 0.3

•  41) An ideal gas is compressed to half its initial volume by means of several processes. Which of the process results in the maximum work done on the gas?

2. Isobaric

3. Isochoric

4. Isothermal

•  42) A ball is thrown vertically downwards from a height of 20 m with an initial velocity υ0. It collides with the ground, losses 50 percent of its energy in collision and rebounds to the same height. The initial velocity υ0 is (take g = 10 ms-2)
1. 14 ms-1

2. 20 ms-1

3. 28 ms-1

4. 10 ms-1

•  43) In the spectrum of hydrogen, the ratio of the longest wavelength in the Lyman series to the longest wavelength in the blamer series is-
1. 2. 3. 4. •  44) A source of sound S emitting waves of frequency 100 Hz and an observer O are located at some distance from each other. The source is moving with a speed of 19.4 ms-1 at an angle of 60° with the source observer line as shown in the figure. The observer is at rest. The apparent frequency observer by the observer (velocity of sound in air 330 ms-1) is- 1. 100 Hz

2. 103 Hz

3. 106 Hz

4. 97 Hz

•  45) If dimensions of critical velocity vc od a liquid flowing through a tube are expressed as , where η ,  ρ and r are the coefficient of viscosity of liquid, density of liquid and radius of the tube respectively, then the values of x, y and z are given by-
1. 1, -1, -1

2. -1, -1, 1

3. -1, -1, -1

4. 1,1,1

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