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# Question Paper (Section wise)

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Question 1
Positive Marks: 4 / Negative Marks: 1
•  1) 1. y = x2 + constant

2. y2 = x + constant

3. y2 = x2 + constant

4. xy = constant

•  2) Rod of length L at room temperature and uniform area of cross section A, is made of a metal having coefficient if linear expansion α/°C. It is observed that an external compressive force F, is applied on each of its ends, prevents any change in the length of the rod when it temperature rises △TK. Young’s modulus, Y for this metal is
1. 2. 3. 4. •  3) Two masses m and are connected at the two ends of a massless rigid rod of length ℓ. The rod is suspended by a thin wire of torsional constant k at the center of mass of the rod-mass system (see figure). Because of torsional constant k, the restoring torque is τ = k θ for angular displacement θ. If the rod is rotated by θ0 and released, the tension in it when it passes through its mean position will be 1. 2. 3. 4. •  4) A current of 2 mA was passed through an unknown resistor which dissipated a power of 4.4 W. Dissipated power when an ideal power supply of 11 V is connected across it is:
1. 11 × 10-5 W

2. 11 × 10-3 W

3. 11 × 10-4 W

4. 11 × 105 W

•  5) The diameter and height of a cylinder are measured by a meter scale to be 12.6 ± 0.1cm and 34.2±0.1cm, respectively. What will be the value of its volume in appropriate significant figures?
1. 4264 ± 81cm3

2. 4264 ± 81.0cm3

3. V = 4260 ± 80 cm3

4. 4300 ± 80cm3

•  6) A particle executes simple harmonic motion with an amplitude of 5 cm. When the particle is at 4 cm from the mean position, the magnitude of its velocity is SI units equal to that of its acceleration. Then, its periodic time in seconds is:
1. 2. 3. 4. •  7) In the circuit shown, The switch S1 is close at time t = 0 and the switch S2 is kept open. At some later time (t0), the switch S1 is opened and S2 is closed. The behaviour of the current I as a function of time‘t’ is given by: 1. 2. 3. 4. •  8) An object is at a distance of 20 m from a convex lens of focal length 0.3 m. The lens forms an image of the object. If the object moves away from the lens at a speed of 5 m/s, the speed and direction of the image will be:
1. 2.26×10-3 m/s away from the lens

2. 0.92×10-3 m/s away from the lens

3. 3.22×10-3 m/s towards the lens

4. 1.16×10-3 m/s towards the lens

•  9) In the figure shown below, the charge on the left plate of the μF Capacitor is -30μC. The charge on the right place of the 6μF capacitor is 1. -12μC

2. +12μC

3. -18μC

4. +18μC

•  10) An alpha-particle of mass m suffers 1-deminisional elastic collision with a nucleus at rest of unknown mass. It is scattered directly backwards losing, 64% of its initial kinetic energy. The mass of the nucleus is:
1. 2 m

2. 3.5 m

3. 1.5 m

4. 4 m

•  11) In the given circuit diagram, the currents, I1 = -0.3 A, I4 = 0.8 A and I5 = 0.4 A, are flowing as shown. The currents I2, I3 and I6, respectively are: 1. 1.1 A, -0.4 A, 0.4A

2. 1.1 A, 0.4 A, 0.4A

3. 0.4 A, 1.1 A, 0.4A

4. -0.4 A, 0.4 A, 0.4A

•  12) A simple harmonic motion is represented by: The amplitude and time period of the motion are:
1. 2. 3. 4. •  13) A cell of internal resistance r drives current through an external resistance R. The power delivered by the cell to the external resistance will be maximum when:
1. R = 0.001 r

2. R = 1000 r

3. R = 2r

4. R = r

•  14) The magnetic field of an electromagnetic wave is given by: The associated electric field will be:
1. 2. 3. 4. •  15) Calculated the limit of resolution of a telescope objective having a diameter of 200 cm, if it has to detect light of wavelenght 500 nm coming from a star.

•  16) If ‘M’ is the mass of water that rises in a capillary tube of radius ‘r’, then mass of water which will rise in a capillary tube of radius ‘2r’ is:
1. 4 M

2. 3. M

4. 2 M

•  17) For a given gas at 1 atm pressure, rms speed of the molecules is 200 m/s at 127°C. At 2 atm pressure and at 227°C, the rms speed of the molecules will be:
1. 80 m/s

2. 80 m/s

3. 100 m/s

4. 100 m/s

•  18) A solid sphere of mass ‘M’ and radius ‘a’ is surrounded by a uniform concentric spherical shell of thickness 2a and mass 2M. The gravitational field at distance ‘3a’ from the centre will be:
1. 2. 3. 4. •  19) The magnitude of the magnetic field at the centre of an equilateral triangular loop of side 1 m which is carrying a current of 10 A is: [Take µ0 = 4π × 10-7 NA-2]
1. 9µ T

2. 1µ T

3. 3µ T

4. 18µ T

•  20) The graph shows how the magnification m produced by a thin lens varies with image distance v. What is the focal length of the lens used? 1. 2. 3. 4. •  21) A square loop is carrying a steady current I and the magnitude of its magnetic dipole moment is m. If this square loop is changed to a circular loop and it carries the same current, the magnitude of the magnetic diploe moment of circular loop will be ______× •  22) A galvanometer of resistance 100 Ω has 50 division on its scale and has sensitivity of 20 µ A/ division. It is to be converted to a voltmeter with three ranges, of 0-2 V, 0-10 V and 0-20 V. For the given case the closed value of total resistance when connected in series is ______ kΩ.
•  23) For the given circuit what will be the output for logic gate when both input A & B are 1 (high)? •  24) A damped harmonic oscillator has a frequency of 5 oscillations per seconds. The amplitude drops to half its value for every 10 oscillations. The time it will take to drop to of the original amplitude is closed to _______ sec.
•  25) The election field in a region is given by where E is in NC-1 and x in meters. The values of constants are A = 20 SI unit and B = 10 SI unit. If the potential at x = = 1 is V1 and that at x= -5 is V2 then V1 – V2 is ______ V.
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