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Question Paper (Section wise)

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

    If force (F), velocity (V) and time (T) are taken as fundamental units, then the dimensions of mass are:-

    1. [F V T-1]

    2. [F V T-2]

    3. [F V-1 T-1]

    4. [F V-1 T]

  • 2)

    A projectile is fired from the surface of the earth with a velocity of 5 ms-1 and angle θ with the horizontal. Another projectile fired from another planet with a velocity of 3 ms-1 at the same angle follows a trajectory while is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet is (in ms-2) is: (given g = 9.8 m/s2)

    1. 3.5

    2. 5.9

    3. 16.8

    4. 110.8

  • 3)

    A particle is moving such that its position coordinate (x, y) are

    (2m, 3m) at time t = 0

    (6m, 7m) at time t = 2 s and

    (13m, 14) at time t = 5 s

    Average velocity  from t = 0 to t = 5 s is

  • 4)

    A system consists of three masses m1, m2 and m3 connected by a string passing over a pulley P. The mass m1 hangs freely and m2 and m3 are on a rough horizontal table (the coefficient of friction = μ). The pulley is frictionless and of negligible mass. The downward acceleration of mass m1 is (Assume m1 = m2 = m3 = m)

  • 5)

    The force ‘F acting on a particle of mass ‘m’ is indicated by the force – time graph shown below. The change in momentum of the particle over the time Interval from zero to 8 s Is:

    1. 24 N s

    2. 20 N s

    3. 12 N s

    4. 6 N s

  • 6)

    A balloon with mass ‘m’ is descending down with an acceleration ‘a’ (where a < g). How much mass should be removed from it so that it starts moving up with an acceleration ‘a’?

  • 7)

    A body of mass (4m) is lying in x-y plane at rest. It suddenly explodes into three pieces. Two pieces, each of mass (m) move perpendicular to each other with equal speeds (v), The total kinetic energy generated due to explosion is

    1. mv2

    3. 2mv2

    4. 4mv2

  • 8)

    The oscillation of body on a smooth horizontal surface is represented by the equation,

    X = A cos (ωt)

    Where

    X = displacement at time t

    ω = frequency of oscillation

    Which one of the following graphs shows correctly the variation ‘a’ with ‘t’?

  • 9)

    A solid cylinder of mass 50 kg and radius 0.5 m is free to rotate about the horizontal axis.  Massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an angular acceleration of 2 revolutions S-2 is :-

    1. 25 N

    2. 50 N

    3. 78.5 N

    4. 157 N

  • 10)

    In Young’s double slit experiment, the slits are 2mm apart and are illuminated by photons of two wavelength λ1 = 12000 Å and λ2 = 10000 Å. At what minimum distance from the common central bright fringe on the screen 2m from the slit will a bright fringe from one interference pattern coincide with a bright fringe from the other?

    1. 3 mm

    2. 8 mm

    3. 6 mm

    4. 4 mm

  • 11)

    In a common emitter (CE) amplifier having a voltage gain G, transistor used has trans conductance 0.02 mho and current gain 20, the voltage gain will be-

    3. 1.5 G

  • 12)

    A certain mass of hydrogen is changed to Helium by the process of fusion. The mass defect in fusion reaction is 0.02866 u. The energy liberated per u is : (given 1u = 931 MeV)

    1. 13.35 MeV

    2. 2.67 MeV

    3. 26.7 MeV

    4. 6.675 MeV

  • 13)

    In the given (V-T) diagram, what is the relation between pressure P1 and P2?

    1. Cannot be predicted

    2. P2 = P1

    3. P2 > P1

    4. P2 < P1

  • 14)

    The output (X) of the logic circuit shown in figure will be:

    4. X = A.B

  • 15)

    Three blocks with masses m, 2m and 3m are connected by strings, as shown in the figure. After an upward force F is applied on block m, the masses move upward at constant speed v. What is the net force on the block of mass 2m? (g is the acceleration due to gravity)

    1. 6 mg

    2. zero

    3. 2 mg

    4. 3 mg

  • 16)

    In a n-type semiconductor, which of the following statement is true:

    1. Holes are majority carriers and trivalent atoms are dopants

    2. Electrons are majority carriers and trivalent atoms are dopants

    3. Electron are minority carriers and pentavalent atoms are dopants

    4. Holes are minority carriers and pentavalent atoms are depends.

  • 17)

    The half life of radioactive isotope ‘X’ is 20 years. It decays to another element ‘Y’ which is stable. The two elements ‘X’ and ‘Y’ were found to be in the ratio 1:7 in a sample of a given rock. The age of the rock is estimated to be:

    1. 100 years

    2. 40 years

    3. 60 years

    4. 80 years

  • 18)

    The molar specific heats of an ideal gas at constant pressure and volume are denoted by Cp and Cv’ respectively. If  and R is the universal gas constant, then Cv is equal to:

  • 19)

    The damping force on an oscillator is directly proportional to the velocity. The unit of the constant of proportionality are:-

    1. kgs-1

    2. kgs

    3. kgms-1

    4. kgms-2

  • 20)

    The motion of a particle along a straight line is described by equation x = 8 + 12t – t3 where x is in metre and t in second. The retardation of the particle when its velocity becomes zero is:-

    1. 6 ms-2

    2. 12 ms-2

    3. 24 ms-2

    4. zero

  • 21)

    The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectile is:-

    1. θ = tan-1 (2)

    2. θ = 45°

    3. θ = tan-1

    4. θ = tan -1 (4)

  • 22)

    A particle has initial velocity  and acceleration . The magnitude of velocity after 10 second will be:

    1. 5 units

    2. 9 units

  • 23)

    A car of mass 1000 kg negotiates a banked curve of radius 90m on a frictionless road. If the banking angle is 45°, the speed of the car is:

    1. 5ms-1

    2. 10ms-1

    3. 20ms-1

    4. 30ms-1

  • 24)

    A solid cylinder of mass 3 kg is rolling on a horizontal surface with velocity 4 ms-1. It collides with a horizontal spring of force constant 200 Nm-I. The maximum compression produced in the spring will be:

    1. 0.7 m

    2. 0.2 m

    3. 0.5 m

    4. 0.6 m

  • 25)

    The potential energy of a particle in a force field is:  where A and B are positive constants and r is the distance of particle from the centre of the field. For stable equilibrium, the distance of the particles is:

    1. A/B

    2. B/A

    3. B/2A

    4. 2A/B

  • 26)

    Two spheres A and B of masses m1 and m2 respectively collide. A is at rest initially and B is moving with velocity v along x-axis. After collision B has a velocity v/2 in a direction perpendicular to the original direction. The mass A moves after collision in the direction.

    1. θ = tan-1 (1/2) to the x-axis

    2. θ = tan-1 (-1/2) to the x-axis

    3. same as that of B

    4. opposite to that of B

  • 27)

    Two persons of masses 55 kg and 665 kg respectively, are at the opposite ends of a boat. The length of the boat is 3.0 m and weight 100 kg. The 55 kg man walks up to the 65 kg man and sits with him. If the boat is in still water the centre of mass of the system shifts by:

    1. zero

    2. 0.75 m

    3. 3.0 m

    4. 2.3 m

  • 28)

    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

  • 29)

    The figure shown a logic circuit two inputs A and B and the output C. The voltage wave forms across circuit gate is:

    1. AND gate

    2. NAND gate

    3. OR gate

    4. NOR gate

  • 30)

    In a CE transistor amplifier, the audio signal voltage across the collector resistance of 2kΩ is 2V. If the base resistance is 1kΩ and the current amplification of the transistor is 100, the input signal voltage is:-

    1. 1 mV

    2. 10mV

    3. 0.1 V

    4. 1.0 V

  • 31)

    C and Si both have same lattice structure, having 4 bonding electrons in each. However, C is insulator where as Si is intrinsic semiconductor. This is because:

    1. The four bonding electron in the case of C lie in the second orbit, whereas in the case of Si they lie in the third

    2. The four bonding electron in the case of C lie in the third orbit, whereas for Si they lie in the fourth orbit.

    3. In case of C the valance band is not completely filled at absolute zero temperature.

    4. In case of C the conduction band is partly filled even at absolute zero temperature

  • 32)

    Transfer characteristics (output voltage (V0) vs Input voltage (Vi) for a base biased transistor in CE configuration is as shown in the figure. For using transistor as a switch, it is used.

    1. in region II

    2. in region I

    3. in region III

    4. both in region (I) and (III)

  • 33)

    A magnetic needle suspended parallel to a magnetic field requires  of work to turn it through 60°. The torque needed to maintain the needle in this position will be:

    4. 3J

  • 34)

    The transition from the state n = 3 to n = 1 in a hydrogen like atom results in ultraviolet radiation. Infrared radiation will be obtained in the transition from:

    1. 5 → 4

    2. 4 → 3

    3. 2 → 1

    4. 3 → 2

  • 35)

    The power dissipated in the circuit shown in the figure is 30 watts. The value of R is-

    1. 10 Ω

    2. 30 Ω

    3. 20 Ω

    4. 15 Ω

  • 36)

    Which one of the following plots represents the variation of gravitational field on a particle with distance due to a thin spherical shell of radius R? (r is measured from the center of the spherical shell)

  • 37)

    The potential energy of a system increases if work is doneyu

    1. Upon the system by a conservative force

    2. Upon the system by a non- conservative force

    3. By the system against a conservative force

    4. By the system against a non-conservative force

  • 38)

    A body is moving with velocity 30 m/s towards east. After 10 seconds its velocity becomes 40 m/s towards north. The average acceleration of the body is-

    1. 5 m/s2

    2. 1 m/s2

    3. 7 m/s2

    4. 7 m/s2

  • 39)

    A missile is fired for maximum range with an initial velocity of 20 m/s. If g = 10 m/s2, the range of the missile is-

    1. 20 m

    2. 40 m

    3. 50 m

    4. 60 m

  • 40)

    Force F on a particle moving in a straight line varies with distance d as shown in the figure. The work done on the particle during its displacement of 12 m is-

    1. 13 J

    2. 18 J

    3. 21 J

    4. 26 J

  • 41)

    A charge Q is enclosed by a Gaussian spherical surface of radius R. If the radius is doubled. then the outward electric flux will

    1. Be doubled

    2. Increases four times

    3. Be reduced to half

    4. Remain the same

  • 42)

    Four electric charges +q, +q, -q and –q are placed at the corners of a square of side 2L (see figure). The electric potential at point A, midway between the two charges +q and +q, is-

  • 43)

    A parallel plate condenser has a uniform electric field E (V/m) in the space between the plates. If the distance between the plates is d (m) and area of each plate is A (m2) the energy (joules) stored in the condenser is-

  • 44)

    If power dissipated in the 9Ω resistor in the circuit shown is 36 Watt, the potential difference across the 2Ω resistor is-

    1. 2 Volt

    2. 4 Volt

    3. 8 Volt

    4. 10 Volt

  • 45)

    A current of 2A flows through a 2Ω resistor when connected across a battery. The same battery supplies a current of 0.5 A when connected across a 9Ω resistor. The internal resistance of the battery is

    1. 1 Ω

    2. 0.5 Ω

    3. 1/3 Ω

    4. ¼ Ω

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