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  • Question 1
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    Two charges, each equal to q, are kept at x=a on the x-axis. A particle of mass m and charge q =q/2 is placed at the origin. If charge q 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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    The I – V characteristic of an LED is

  • Question 3
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    A charge Q is uniformly distributed over a long rod AB of length L as shown in the figure. The electric potential at the point O lying at a distance L from the end A is:

  • Question 4
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    The amplitude of a damped oscillator decreases to 0.9 times its original magnitude is 5s. In another 10s it will decrease to α times its original magnitude, where α equals.

  • Question 5
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    A projectile is given an initial velocity of (i + 2j) m/s, where i is along the ground and j is along the vertical. If g = 10 m/s2 , the equation of its trajectory is:

  • Question 6
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    Two coherent point sources S1 and S2 are separated by a small distance ‘d’ as shown. The fringes obtained on the screen will be:

  • Question 7
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    Let [ε0] denote the dimensional formula of the permittivity of vacuum. If M = mass, L = length, T = time and A = electric current, then:

  • Question 8
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    The anode voltage of a photocell is kept fixed. The wavelength λ of the light falling on the cathode is gradually changed. The plate current I of the photocell varies as follows:

  • Question 9
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    A beam of unpolarised light of intensity I0 is passed through a polaroid A and then through another polaroid B which is oriented so that its principal plane makes an angle of 45° relative to that of A. The intensity of the emergent light is:

  • Question 10
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    A hoop of radius r and mass m rotating with an angular velocity ω0 is placed on a rough horizontal surface. The initial velocity of the centre of the hoop is zero. What will be the velocity of the centre of the hoop when it ceases to slip?

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