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  • Question 1
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    Directions: Read the following passage and answer the question.

    Two charges, each equal to \(q\), are kept at \(x = – a\) and \(x = a\) on the x-axis. A particle of mass m and charge \(q_0 = q/2\) is placed at the origin.

    If charge \(q_0\) is given a small displacement \(y (<< a)\) along the y-axis, the net force acting on the particle is proportional to

  • Question 2
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    Two particles execute SHM of the same amplitude and frequency along the same straight line. If they pass one another when going in opposite directions, each time their displacement is half their amplitude, the phase difference between them is:

  • Question 3
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    The electric field at a point is:

  • Question 4
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    Compute the fractional change in volume of a glass slab, when subjected to a hydraulic pressure of \(10\) atm. Bulk modulus of glass \(37\) GPA.

  • Question 5
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    The rms value of an ac current of \(50 \mathrm{~Hz}\) is \(10 \mathrm{amp} .\) The time taken by the alternating current in reaching from zero to maximum value and the peak value of current will be:

  • Question 6
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    Find the ratio of the magnitude of linear momentum, if two bodies A and B of mass 9 kg and 25 kg respectively are moving with equal kinetic energy.

  • Question 7
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    In the Young's double slit experiment, the distance between the slits varies in time asd \((\mathrm{t})=\mathrm{d}_0+\mathrm{a}_0 \sin \omega \mathrm{t}\); where \(\mathrm{d}_0\), \(\omega\) and \(\mathrm{a}_0\) are constants. The difference between the largest fringe width and the smallest fringe width obtained over time is given as :

  • Question 8
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    A block, released from rest from the top of a smooth inclined plane of inclination 45°, takes t seconds to reach the bottom. The same block, released from rest from the top of a rough inclined plane of the same inclination, takes 2t seconds to reach the bottom. The coefficient of friction is

  • Question 9
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    The atom bomb is based on the principle of:

  • Question 10
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    A rectangular solid box of length 0.3m is held horizontally, with one of its sides on the edge of a platform of height 5m. When released, it slips off the table in a very short time τ=0.01s, remaining essentially horizontal. The angle by which it would rotate when it hits the ground will be (in radians) close to :

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