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Question Paper (Section wise)

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Question 1
Positive Marks: 4 / Negative Marks: 1
  • 1)

    If the focal length of objectives lens is increased then magnifying power of :-

    1. microscope will increase but that of telescope

    2. microscope and telescope both will increase

    3. microscope and telescope both will decrease

    4. microscope will decrease but that of telescope increase

  • 2)

    The angle of a prism is ‘A’. One of its refracting surface is silvered. Light rays falling at an angle of incident 2A on the first surface returns back through the same path after suffering reflection at the silvered surface. The refractive index µ, of the prism is –

    1. 2 sin A

    2. 2 cos A

    4. tan A

  • 3)

    When the energy of the incident radiation is increased by 20%, the kinetic energy of the photoelectrons emitted from a metal surface increased from 0.5 eV to 0.8 eV. The work functions of the metal is –

    1. 0.65 eV

    2. 1.0 eV

    3. 1.3 eV

    4. 1.5 eV

  • 4)

    If the kinetic energy of the particle is increased to 16 s its previous value, the percentage change in the de-Broglie wavelength of the particle is –

    1. 25

    2. 75

    3. 60

    4. 50

  • 5)

    Hydrogen atom in ground state is excited by a monochromatic radiation of λ = 975 Å. Number of spectral lines in the resultant spectrum emitted will be

    1. 3

    2. 2

    3. 6

    4. 10

  • 6)

    The binding energy per nucleon of  and nuclei are 5.60 MeV and 7.06 MeV, respectively. In the nuclear reaction , the value of energy Q released is : -

    1. 19.6 MeV

    2. -2.4 MeV

    3. 8.4 MeV

    4. 17.3 MeV

  • 7)

    A radio isotope ‘X’ with a half life 1.4 × 109 years decays to ‘Y’ which is stable. A sample of the rock from a cave was found to contain ‘X’ and ‘Y’ in the ratio 1 : 7. The age of the rock is-

    1. 1.96 × 109 years

    2. 3.92 × 109 years

    3. 4.20 × 109 years

    4. 8.40 × 109 years

  • 8)

    The given graph represents V-I characteristic for a semiconductor device.

    Which of the following statement is correct?

    1. It is V-I characteristic for solar cell where, point A represents open circuit voltage and point B short circuit current.

    2. It is for a solar cell and point A and B represent open circuit voltage and current, respectively

    3. It is for photodiode and points A and B represent open circuit voltage and current respectively.

    4. It is for a LED and points A and B represent open circuit voltage and short circuit current, respectively.

  • 9)

    The barrier potential of a p-n junction depends on:

    a) type of semiconductor material

    b) amount of doping

    c) temperature

    Which one of the following is correct?

    1. (a) and (b) only

    2. (b) only

    3. (b) and (c) only

    4. (a), (b) and (c)

  • 10)

    A source of unknown frequency gives 4 beats / s, when sounded with a source of known frequency 250 Hz, the second harmonic of the source of unknown frequency gives five beats per second, when sounded with a source of frequency 513 Hz, the unknown is -

    1. 260 Hz

    2. 254 Hz

    3. 246 Hz

    4. 240 Hz

  • 11)

    A coil having self-inductance L is connected in series with a bulb B and an AC source. Brightness of the bulb decrease when-

    1. and iron rod is inserted in the coil

    2. frequency of the AC source is decreased

    3. number of turns in the coil is reduced

    4. A capacitance of reactance XC = XL is included in the same circuit.

  • 12)

    Two pith balls carrying equal charges are suspended from a common point by strings of equal length, the equilibrium separation between them is e. Now the strings are rigidly clamped at half the height. The equilibrium separation between the balls now become-

  • 13)

    If we study the vibration of a pipe open at both ends, then the following statements is not true:

    1. Pressure change will be maximum at both ends

    2. Open end will be antinode

    3. Odd harmonics of the fundamental frequency will be generated

    4. All harmonics of the fundamental frequency will be generated

  • 14)

    When a proton is released from rest in a room, it starts with an initial acceleration a0 towards west. When it is projected towards north with a speed v0 it moves with an initial acceleration 3a0 towards west. The electric and magnetic fields in the room are:

  • 15)

    A wire loop is rotated in magnetic field. The frequency of change of direction of the induced e. m. f. is -

    1. six s per revolution

    2. once per revolution

    3. twice per revolution

    4. four s per revolution

  • 16)

    A uniform force of  newton acts on a particle of mass 2 kg. Hence the particle is displaced from position  meter to position  meter. The work done by the force on the particle is -

    1. 15 J

    2. 9 J

    3. 6 J

    4. 13 J

  • 17)

    The wettability of a surface by a liquid depends primarily on-

    1. angle of contact between the surface and the liquid

    2. Viscosity

    3. surface tension

    4. Density

  • 18)

    Infinite number of bodies, each of mass 2kg are situated on x-axis at distance 1 m, 2m, 4m, 8m…., respectively, from the origin. The resulting gravitational potential due to this system at the origin will be-

    1. -4 G

    2. -G

  • 19)

    A concave mirror of focal length ‘f1’ is placed at a distance of ‘d’ from a convex lens of focal length ‘f2’ A beam of light coming from infinity and falling on this convex lens-convex lens-concave mirror combination returns to infinity. The distance ‘d’ must real:

    1. 2f1 + f2

    2. -2f1 + f2

    3. f1 + f2

    4. -f1 + f2

  • 20)

    When a biconvex lens of glass having refractive index 1.47 is dipped in a liquid, it acts as a plane sheet of glass. This implies that the liquid must have refractive index.

    1. greater than that of glass

    2. less than that of glass

    3. equal to that of glass

    4. less than one

  • 21)

    An α-particle moves in a circular path of radius 0.83 cm in the presence of a magnetic field of 0.25 Wb/m2. The de Broglie wavelength associated with the particle will be:

    1. Å

    2. 0.01 Å

    3. 1 Å

    4. 0.01 Å

  • 22)

    Monochromatic radiation emitted when electron on hydrogen atom jumps from first excited to the ground state irradiates a photosensitive material. The stopping potential is measured to be 3.57V. The threshold frequency of the material is:

    1. 1.6 × 1015 Hz

    2. 2.5 × 1015 Hz

    3. 4 × 1015 Hz

    4. 5 × 1015 Hz

  • 23)

    A 200 W sodium street lamp emits yellow light of wavelength 0.6 µm. Assuming it to be 25% efficient converting electrical energy to light, the number of photon of yellow light it emits per second is:-

    1. 62 × 1015 Hz

    2. 3 × 1019 Hz

    3. 1.5 × 1020

    4. 6 × 1018

  • 24)

    Electron in hydrogen atom first jumps from third excited state to seconds excited state and then from second excited to the first excited state. The ration of the wavelengths λ1: λ2 emitted in the two cases:

    1. 27/5

    2. 20/7

    3. 7/5

    4. 27/20

  • 25)

    An electron of stationary hydrogen atom passes from the fifth energy level to the ground level. The velocity that the atom acquired a result of photon emission will be:

    4. (m is the mass of the electron, R, Rydberg constant and h Planck’s constant)

  • 26)

    If the nuclear radius of 27 Al is 3.6 Fermi, the approximate nuclear radius of 64Cu in Fermi is:

    1. 4.8

    2. 3.6

    3. 2.4

    4. 1.2

  • 27)

    Two ideal diodes are connected to a battery as shown in the circuit. The current supplied by the battery is:-

    1. 0

    2. 0.5 a

    3. 0.75 a

    4. Zero

  • 28)

    The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its midpoint perpendicular to its length is I0. Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is-

    1. I0 + ML2

    4. I0 + 2ML2

  • 29)

    A boy standing at the top of tower of 20 m height drops a stone. Assuming g = 10ms-2, the velocity with which it hits the ground is-

    1. 5.0 m/s

    2. 10.0 m/s

    3. 20.0 m/s

    4. 40.0 m/s

  • 30)

    A person of mass 60 kg is inside a lift of mass 940 kg and presses the button one control panel. The lift starts moving upwards with an acceleration 1. 0 m/s2. If g = 10 m/s2, the tension in the supporting cable is-

    1. 1200 N

    2. 8600 N

    3. 9680 N

    4. 11000 N

  • 31)

    A body projected vertically from the earth reaches a height equal to earth’s radius before returning to the earth. The power exerted by the gravitational force is greatest

    1. At the instant just after the body is projected

    2. At the highest position of the body

    3. At the instant just before the body hits the earth

    4. It remains constant all through

  • 32)

    The instantaneous angular position of a point on a rotating wheel is given by the equation θ (t) = 2t3 – 6t2. The torque on the wheel becomes zero at

    1. t = 2 s

    2. t = 1 s

    3. t = 0.2 s

    4. t = 0.25 s

  • 33)

    A particle moves in a circle of radius 5cm with constant speed and period 0.2πs. The acceleration of the particle is

    1. 5 m/s2

    2. 15 m/s2

    3. 25 m/s2

    4. 36 m/s2

  • 34)

    A body of mass M hits normally a rigid wall with velocity V and bounces back with the same velocity. The impulse experienced by the body is-

    1. Zero

    2. MV

    3. 1.5 MV

    4. 2 MV

  • 35)

    A planet moving along an elliptical orbit is closest to the sun at a distance r1 and farthest away at a distance of r2. If V1 and V2 are the linear velocities at these point respectively. Then the ration v1/v2 is-

    1. r1/r1

    2. (r1/r1)2

    3. r2/r1

    4. (r2/r1)2

  • 36)

    A radioactive nucleus of mass M emits a photon of frequency ѵ and the nucleus recoils. The recoil energy will be

    1. Hѵ

    2. Mc2 - hѵ

    3. h2ѵ 2/2Mc2

    4. Zero

  • 37)

    A transistor is operated in common emitter configuration at VC = 2 V such that a change in the base current from 100µA to 300 µA produces a change in the collector current from 10 mA to 20 mA. The current gain is-

    1. 25

    2. 50

    3. 75

    4. 100

  • 38)

    If a small amount of antimony is added to germanium crystal-

    1. Its resistance is increased

    2. It becomes a p-type semiconductor

    3. The antimony becomes an acceptor atom

    4. There will be more free electrons than holes in the semiconductor

  • 39)

    In forward biasing of the p-n junction 

    1. The positive terminal of the battery in connected to p-side and the depletion region becomes thin

    2. The positive terminal of the battery is connected to p-side and the depletion region becomes thick

    3. The positive terminal of the battery is connected to n-side and the depletion region becomes thin

    4. The positive terminal of the battery is connected to n-side and the depletion region becomes thick

  • 40)

    Symbolic representation of four logic gates are shown

    Pick out which ones are for AND, NAND and NOT gates, respectively:

    1. (ii), (iv) and (iii)

    2. (ii), (iii) and (iv)

    3. (iii), (ii) and (i)

    4. (iii), (ii) and (iv)

  • 41)

    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

  • 42)

    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

  • 43)

    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

  • 44)

    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

  • 45)

    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-

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