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# Question Paper (Section wise)

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Question 1
Positive Marks: 4 / Negative Marks: 1
•  1) An object is placed at a distance of 40 cm from a concave mirror of focal length 15 cm. If the object is displaced through a distance of 20 cm towards the mirror, the displacement of the image will be
1. 30 cm towards the mirror

2. 36 cm away from the mirror

3. 30 cm away from the mirror

4. 36 cm towards the mirror

•  2) A toy car with charge q moves on a frictionless horizontal plane surface under the influence of a uniform electric field .Due to the force q , its velocity increases from 0 to 6 m/s in one second duration. At that instant the direction of the field is reversed. The car continues to move for two more seconds under the influence of this field. The average velocity and the average speed of the toy car between 0 to 3 seconds are respectively.
1. 1 m/s, 3.5 m/s

2. 1 m/s, 3 m/s

3. 2 m/s, 4 m/s

4. 1.5 m/s, 3 m/s

•  3) A block of mass m is placed on a smooth inclined wedge ABC of inclination θ as shown in the figure. The wedge is given an acceleration 'a' towards the right. The relation between a and θ for the block to remain stationary on the wedge is – 1. A = g cos θ

2. 3. 4. A = g tan θ

•  4) A student measured the diameter of a small steel ball using a screw gauge of least count 0.001 cm. The main scale reading is 5 mm and 0 of circular scale division coincides with 25 divisions above the reference level. If screw gauge has a zero error of –0.004 cm, the correct diameter of the ball is –
1. 0.053 cm

2. 0.525 cm

3. 0.521 cm

4. 0.529 cm

•  5) The moment of the force at (2, 0,–3), about the point (2, –2, –2), is given by
1. 2. 3. 4. •  6) The power radiated by a black body is P and it radiates maximum energy at wavelength λ0. If the temperature of the black body is now changed so that it radiates maximum energy at wavelength , the power radiated by it becomes nP. The value of n is -
1. 2. 3. 4. •  7) Two wires are made of the same material and have the same volume. The first wire has cross-sectional area A and the second wire has cross-sectional area 3A. If the length of the first wire is increased by ∆l on applying a force F, how much force is needed to stretch the second wire by the same amount?
1. 4 F

2. 6 F

3. 9 F

4. 7 F

•  8) A sample of 0.1 g of water at 100°C and normal pressure (1.013 × 105 Nm–2) requires 54 cal of heat energy to convert to steam at 100°C C. If the volume of the steam produced is 167.1 CC, the change in internal energy of the sample, is -
1. 42.4 J

2. 208.7 J

3. 104.3 J

4. 84.5 J

•  9) A small sphere of radius 'r' falls from rest in a viscous liquid. As a result, heat is produced due to viscous force. The rate of production of heat when the sphere attains its terminal velocity, is proportional to -
1. r5

2. r2

3. r3

4. r4

•  10) Two discs of same moment of inertia rotating about their regular axis passing through center and perpendicular to the plane of disc with angular velocities ω1 and ω2. They are brought into contact face to face coinciding the axis of rotation. The expression for loss of energy during this process is:
1. 2. I(ω1 – ω2)

3. 4. •  11) The photoelectric threshold wavelength of silver is 3250 × 10-10m. The velocity of the electron ejected from a silver surface by ultraviolet light of wavelength 2536 × 10-10m is (Given h = 4.14 × 10-15 eVs and c = 3 × 108 ms-1)
1. ≈0.6 × 106 ms-1

2. ≈61 × 103 ms-1

3. ≈0.3 × 106 ms-1

4. ≈6 × 108 ms-1

•  12) A 250 – Turn rectangular coil of length 2.1 cm and width 1.25 cm carries a current of 85 μA and subjected to a magnetic field of strength 0.85T. Work done for rotating the coil by 180° against the torque is:
1. 4.55 μJ

2. 2. 3 μJ

3. 1. 15 μJ

4. 9. 1 μJ

•  13) The ratio of wavelength of the last line of Balmer series and the last line of Lyman series is:
1. 1

2. 4

3. 0.5

4. 2

•  14) A cannot engine having an efficiency of as heat engine, is used as a refrigerator. If the work done on the system is 10 J, the amount of energy absorbed from the reservoir at lower temperature is:
1. 90 J

2. 99 J

3. 100 J

4. 1 J

•  15) A gas mixture consists of 2 moles of O2 and 4 moles of Argon at temperature T. Neglecting all vibrational modes, the total internal energy of the system is:
1. 15 RT

2. 9 RT

3. 11 RT

4. 4 RT

•  16) An arrangement of three parallel straight wires placed perpendicular to plane of paper carrying same current ‘I’ along the same direction is shown in figure. Magnitude of force per unit length on the middle wire ‘B’ is given by: 1. 2. 3. 4. •  17) A U tube with both ends open to the atmosphere, is partially filled with water. Oil, which is immiscible with water, is poured into one side until it stands at a distance of 10 mm above the water level on the other side. Meanwhile the water rises by 65 mm from its original level (see diagram). The density of the oil is: 1. 425 kg m-3

2. 800 kg m-3

3. 928 kg m-3

4. 650 kg m-3

•  18) Which of the following statements are correct? Centre of mass of a body always coincides with the centre of gravity of the body. Centre of mass of a body is the point at which the total gravitational torque on the body is zero. A couple on a body produce both translational and rotational motion in a body. Mechanical advantage greater than one means that small effort can be used to lift a large load.
1. (a) and (b)

2. (b) and (c)

3. (c) and (d)

4. (b) and (d)

•  19) A bar magnet is hung by a thin cotton thread in a uniform horizontal magnetic field and is in equilibrium state. The energy required to rotate it by 60° is W. Now the torque required to keep the magnet in this new position is
1. 2. 3. √3W

4. •  20) An electron is moving in a circular path under the influence of a transverse magnetic field of 3.57 × 10-2 T. if the value of e/m is 1.76 × 1011 C/kg, the frequency of revolution of the electron is
1. 6.28 MHz

2. 1 GHz

3. 100 MHz

4. 62.8 MHz

•  21) Which of the following combination should be selected for better tunning of an L–C – R circuit used for comminution?
1. R = 25 Ω, L = 1.5 H, C = 45 µF

2. R = 20 Ω, L = 1.5 H, C = 35 µF

3. R = 25 Ω, L = 2.5 H, C = 45 µF

4. R =15 Ω, L = 3.5 H, C = 30 µF

•  22) A uniform magnetic field is restricted within a region of radius r. The magnetic field changes with time at a rate. Loop 1 of radius R > r encloses the region r and loop 2 of radius R is outside the region of magnetic field as shown in the figure below. Then the e. m. f generated is 1. 2. Zero in loop 1 and zero in loop 2

3. 4. •  23) The potential difference across the resistance, capacitance and inductance are 80 V, 40 V and 100 V respectively in an L – C – r circuit. The power factor of this circuit is
1. 1.0

2. 0.4

3. 0.5

4. 0.8

•  24) A 100 Ω resistance and a capacitor of 100 Ω reactance are connected in series across a 220 V source. When the capacitor is 50% charged, the peak value of the displacement current is
1. 11√2 A

2. 2.2 A

3. 11 A

4. 4.4 A

•  25) Two identical glass (µg = 3/2) equiconvex lenses of focal length f each are kept in contact. The space between the two lenses is filled with water (µw = 4/3). The focal length of the combination is
1. 3f/4

2. f/3

3. F

4. 4f/3

•  26) An air bubble in a glass slab with refractive index 1.5 (near normal incidence) is 5 cm deep when viewed from one surface and 3 cm deep when viewed from the opposite face. The thickness (in cm) of the slab is
1. 16

2. 8

3. 10

4. 12

•  27) The interference pattern is obtained with two coherent light source of intensity ratio n. In the interference pattern, the ratio will be
1. 2. 3. 4. •  28) If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is:
1. 90°

2. 45°

3. 180°

•  29) Given the value of Rydberg constant is 107 m–1 the wave number of the last line of the Balmer series in hydrogen spectrum will be:
1. 0.025 × 104 m–1

2. 0.5 × 107 m–1

3. 0.25 × 107 m–1

4. 2.5 × 107 m–1

•  30) A body of mass 1 kg begins to move under the action of a time dependent force , where and are unit vectors along x and y axis. What power will be developed by the force at the time t?
1. (2t2 + 3t3) W

2. (2t2 + 4t4) W

3. (2t3 + 3t4) W

4. (2t3 + 3t5) W

•  31) An inductor 20 mH, a capacitor 50 μF and a resistor 40 Ω are connected in series across a source of emf V = 10 sin 340 t. The power loss in A.C. circuit is:
1. 0.51 W

2. 0.67 W

3. 0.76 W

4. 0.89 W

•  32) If the velocity of a particle is v = At + Bt2, where A and B are constants, then the distance travelled by it between 1s and 2s is:
1. 2. 3A + 7B

3. 4. •  33) A long solenoid has 1000 turns. When a current of 4A flows through it, the magnetic flux linked with each turn of the solenoid is 4 × 10–3 Wb. The self–inductance of the solenoid is:
1. 4H

2. 3H

3. 2H

4. 1H

•  34) A small signal voltage V (t) = V0 sin ωt is applied across an ideal capacitor C:
1. Current I (t), lags voltage V (t) by 90°

2. Over a full cycle the capacitor C does not consume any energy from the voltage source

3. Current I (t) is in phase with voltage V (t)

4. Current I (t) leads voltage V (t) by 180°

•  35) Match the corresponding entries of column 1 with column 2. [Where m is the magnification produced by the mirror] 1. A → b and c; B → b and c; C → b and d; D → a and d

2. A → a and c; B → a and d; C → a and b; D → c and d

3. A → a and d; B → b and c; C → b and d; D → b and c

4. A → c and d; B → b and d; C → b and c; D → a and d

•  36) A car is negotiating a curved road of radius r. The road is banked at an angle θ. The coefficient of friction between the tyres of the car and the road is μs. The maximum safe velocity on this road is:
1. 2. 3. 4. •  37) A particle is executing a simple harmonic motion. Its maximum acceleration is α and maximum velocity is β. Then, its time period of vibration will be:
1. 2. 3. 4. •  38) The energy of the em waves is the order of 15 keV. To which part of the spectrum does it belong?
1. X-rays

2. Infra-red rays

3. Ultraviolet rays

4. γ – rays

•  39) Light of wavelength 500 nm is incident on a metal with work function 2.28 eV. The de Broglie wavelength of the emitted electron is
1. < 2.8 ×10-10m

2. < 2.8 ×10-9m

3. ≥ 2.8 ×10-9m

4. ≤ 2.8 ×10-12m

•  40) At the first minimum adjacent to the central maximum of a single-slit diffraction pattern, the phase difference between the Huygen’s wavelet from edge of the slit and the wavelet from the midpoint of the slit is:
1. 2. 4. •  41) On a frictionless surface, a block of mass M. moving at speed υ collides elastically with another block of same mass M which is initially at rest. After collision the first block moves at an angle Ө to its initial direction and has a speed . The second block’s speed after the collision is:
1. 2. 3. 4. •  42) A potentiometer wire of length L and a resistance r are connected in series with a battery of e.m.f. E0 and a resistance r 1. An unknown e.m.f. E is balanced at a length l of the potentiometer wire. The e.m.f. E will be
1. 2. 3. 4. •  43) The Young’s modulus of steel is twice that of brass. Two wires of same length and of same area of across section, one of steel and another of brass are suspended from the same roof. If we want the lower ends of the wires to be at the same level, then the weights added to the steel and brass wires must be in the ratio of:
1. 1: 2

2. 2: 1

3. 4: 1

4. 1: 1

•  44) The input signal given to a CE amplifier having a voltage gain of 150 is Vi= 2 cos .The corresponding output signal will be:
1. 2. 3. 4. •  45) An automobile moves on a road with a speed of 5 km h-1. The radius of its wheels is 0.45 m and the moment of inertia of the wheel about its axis of rotation is 3 kg m2. If the vehicle is brought to rest in 15s, the magnitude of average torque transmitted by its brakes to the wheel is:
1. 6.66 kg m2 s-2

2. 8.58 kg m2 s-2

3. 10.86 kg m2 s-2

4. 2.86 kg m2 s-2

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