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# Question Paper (Section wise)

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Question 1
Positive Marks: 4 / Negative Marks: 1
•  1) Drift speed of electrons, when 1.5 of current flows in a copper wire of cross section 5 mm2, is v. If the electrons density in copper is 9 × 1028 /m3 the value of v in mm/s is close to (Take charge of electron to be = 1.6 × 10-19 C)
1. 0.02

2. 3

3. 2

4. 0.2

•  2) An infinitely long current carrying wire and a small current carrying loop are in the plane of the paper as shown. The radius of the loop is and distance of its centre from the wire is d (d >> a). If the loop applies a force F on the wire then: 1. F = 0

2. 3. 4. •  3) A bar magnet is demagnetized by inserting it inside a solenoid of length 0.2 m, 100 turns, and carrying a current of 5.2 A. The coercivity of the bar magnet is
1. 285 A/m

2. 2600 A/m

3. 520 A/m

4. 1200 A/m

•  4) At some location on earth the horizontal component of Earth’s magnetic field is 18 × 10-6 T. At this location, magnetic needle of length 0.12 m and pole strength 1.8 A m is suspended from its mid-point using a thread, it makes 45° angle with horizontal in equilibrium. To keep this needle horizontal, the vertical force that should be applied at one of its ends is:
1. 3.6 × 10-5 N

2. 1.8 × 10-5N

3. 1.3 × 10-5 N

4. 6.5 × 10-5 N

•  5) Two stars of masses 3 × 1031 kg each, and at distance 2 × 1011 m rotate in a plane about their common centre of mass O. A meteorite passes through O moving perpendicular to the star’s rotation plane. In order to escape from the gravitation field of this double star the minimum speed that meteorite should have at O is: (Take Gravitational constant G = 6.67 × 10-11Nm2).
1. 2.4 × 104m/s

2. 1.4 × 105m/s

3. 3.8 × 104 m/s

4. 2.8 × 105m/s

•  6) A particle starts form the origin at time t = 0 and moves along the positive x-axis. The graph of velocity with respects to time is shown in figure. What is the position of the particle at time t = 5s? 1. 10 m

2. 6 m

3. 3 m

4. 9 m

•  7) Three charges Q, +q and +q are placed at the vertices of a right – angle isosceles triangle as shown below. The net electrostatic energy of the configuration is zero, if the value of Q is: 1. +q

2. 3. 4. -2q

•  8) Two equal resistances when connected in series to a battery, consume electric power of 60 W. If these resistances are now connected in parallel combination to the same battery, the electric power consumed will be.
1. 60 W

2. 240 W

3. 120 W

4. 30 W

•  9) A rigid diatomic ideal gas undergoes an adiabatic process at room temperature. The rational between temperature and volume for the process is TVx = constant, then x is:
1. 3/5

2. 2/5

3. 2/3

4. 5/3

•  10) The moment if inertia of a solid sphere, about an axis parallel to its diameter and at a distance of x from it, is ‘I(x)’. Which one of the graphs represents the variation of l(x) with x correctly?
1. 2. 3. 4. •  11) Let l, r, c and v represent inductance, resistance, capacitance and voltage, respectively. The dimension of in SI units will be:
1. [LA-2]

2. [A-1]

3. [LTA]

4. [LT2]

•  12) A parallel plate capacitor with plates of area 1 m2 each, are at a separation of 0.1 m. If the electric field between the plates is 100 N/C, the magnitude of charge on each plate is:
1. 7.85 × 10-10C

2. 6.85 × 10-10C

3. 8.85 × 10-10C

4. 9.85 × 10-10C

•  13) The electric 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:
1. 320 V

2. -48 V

3. -520 V

4. 180 V

•  14) A rectangle solid box of length 0.3 m is held horizontally, with one of its sided on the edge of a platform of height 5. When released, it slips off the table in a very short time = 0.01 s, remaining essentially horizontal. The angle by which it would rotate when it hits the ground will be (in radians) close to: •  15) A uniform rectangular thin sheet ABCD of mass M has length a and breadth b, as shown in the figure. If the shaded portion HBGO is cut off, the coordinates of the centre of mass of the remaining portion will be: 1. 2. 3. 4. •  16) In the density measurement of a cube, the mass and edge length are measured as (10.00 ± 0.10) kg and (0.10 ± 0.01) m, respectively. The error in the measurement of density is:
1. 8657.6  kg/m3

2. 7248.3 kg/m3

3. 6202.4kg/m3

4. 6416.6 kg/m3

•  17) A signal A cos ωt is transmitted using ν0 sin ω0t as carrier wave. The correct amplitude modulated (AM) signal is:
1. V0 sin [ω0 (1 + 0.01A sin ω t)t]

2. 3. V0 sin ω0 t + A cos ω t)

4. (v0 + A) cos ω t sin ω0t

•  18) A body of mass 2 kg makes an elastic collision with a second body at rest and continues to move in the original direction but with one fourth of its original speed. What is the mass of the second body?
1. 1.5 kg

2. 1.2 kg

3. 1.8 kg

4. 1.0 kg

•  19) When heat Q is supplied to a diatomic gas of rigid molecules at constant volume its temperature increase by ∆T. The heat required to produce the same change in temperature, at constant pressure is
1. 2. 3. 4. •  20) Space between two concentric conducting spheres of radii a and b (b > a) is filled with a medium of resistivity ρ. The resistance between the two spheres will be
1. 2. 3. 4. •  21) Temperature difference of 120 °C is maintained between two ends of a uniform rod AB of length 2L. Another bent rod PQ, of same cross-section as AB and length , is connected across AB (see figure). In steady state, temperature difference between P and Q will be closed to ________ °C. •  22) A gas can be taken from A to B via two different processes ACB and ADB. When path ACB is used 60 J of heat flows into the system. If path ADB is used work down by the system is 10 J. the heat flow into the system in path ADB is _____ J. •  23) A copper wire is stretched to make it 0.5% longer. The percentage change in its electric resistance if its volume remains unchanged is ______.
•  24) A sample of radioactive material A, that has an activity of 10mCi (1 Ci = 3.7 × 1010 decays/s), has twice the number of nuclei as another sample of different radioactive material B which has an activity of 20mCi. The correct choice for half-lives of B is _______ days.
•  25) A conducting circular loop made of a thin wire, has area 3.5 × 10-3 m2 resistance 10 Ω. It is placed perpendicular to a time dependent magnetic field B(t) = (0.4T) sin (50πt). The field is uniform in space. Then the net charge flowing through the loop during t = 0 s and t = 10 ms is close to ______ mC.
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