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  • Question 1
    3 / -1

    The position of a particle at any time \(t\) is given by the relation \(x(t)=\frac{v}{A}\left(1-e^{-A t}\right)\) where \(v\) is the velocity. Then what will be the dimension of \(A\)?

  • Question 2
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    A piece of blue glass heated to a high temperature and a piece of red glass at room temperature, are taken inside a dimly lit room. Then _____:

  • Question 3
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    A sound source is moving towards a stationary observer with \(\frac{1}{10}\)of the speed of sound. The ratio of apparent to real frequency is:

  • Question 4
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    A solid \(X\) is in thermal equilibrium with a solid \(Y\). Solid \(Y\) has the same temperature as solid \(Z\). If the three solids have different masses and compositions, which one of the following statements is correct?

  • Question 5
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    \({ }^{1} \mathrm{n}_{0}+{ }^{235} \mathrm{U}_{92} \rightarrow{ }^{140} \mathrm{Ba}_{56}+{ }^{\mathrm{y}} \mathrm{Kr}_{36}+3^{1} \mathrm{n}_{0}\). Find \(\mathrm{y}\) from the given fission equation of an uranium nucleus?

  • Question 6
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    A rectangular coil of one turn and size \(1 \mathrm{~m} \times 0.5 \mathrm{~m}\) is placed perpendicular to a magnetic field of \(1 \mathrm{~T}\). If the field drops to \(0.5 \mathrm{~T}\), find the change in magnetic flux generated in the rectangular coil.

  • Question 7
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    Acceleration due to gravity \('\mathrm{g}'\) and the mean density of the earth \({'\mathrm{\rho}'}\) are related by which of the following relations where \(\mathrm{G}\) is the gravitational constant and \(\mathrm{R}_{\mathrm{e}}\) is the radius of the earth:

  • Question 8
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    Consider a metal-semiconductor junction. The variation of the electric field inside the semiconductor is shown in the figure below. The built-in potential (in volts) is equal to:

  • Question 9
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    A capacitor of \(2 \mu \mathrm{F}\) is charged as shown in the diagram. When the switch \(S\) is turned to position 2, the percentage of its stored energy dissipated is:

  • Question 10
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    If a ball was bounced from a flat floor with linear momentum p in this case what will be the linear momentum after bouncing if there is no external force acting on it?

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