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Physics Test-10...

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  • Question 1
    4 / -1

    Power applied to a particle varies with time as \({P}=\left(3 {t}^{2}-2 {t}+1\right)\) watt, where \(t\) is in second. Find the change in its kinetic energy between time \(t=2 s\) and \(t=4 s\).

  • Question 2
    4 / -1

    A beam of light travelling along x-axis is described by the magnetic field \(B_{z}=5 \times 10^{-7}\) \({T} \sin \omega({t}-\frac{{x}}{{c}})\) If a beam of alpha particle moves in this filed along \({y}\) - axis with a speed of \(3 \times 10^{7} {~m} / {s}\), then the maximum electric and magnetic forces experienced by it will be:

  • Question 3
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    A solid sphere of radius \({R}\) has a charge \({Q}\) distributed in its volume with a charge density \(\rho={kr}^{{a}}\), where \({k}\) and \({a}\) are constants and \({r}\) is the distance from its centre. If the electric field at \({r}=\frac{{R}}{2}\) is \(\frac {1}{8}\) times that at \(r=R,\) find the value of \(a\).

  • Question 4
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    In a rotational motion of a rigid body, all particles move with _____.

  • Question 5
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    A rupee coin starting from rest rolls down a distance of \(1 {~m}\) on an inclined plane at angle of \(30^{\circ}\) with the horizontal. Assuming that \({g}=\) \(9.81 {~ms}^{-2}\), time taken is

  • Question 6
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    The rate of the steady volume flow of water through a capillary tube of length \(I\) and radius \({r},\) under a pressure difference of \({P}\) is \({V}\). This tube is connected with another tube of the same length but half the radius, in series. Then the rate of steady volume flow through them is (the pressure difference across the combination is \({P}\))-

  • Question 7
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    Two identical particles move towards each other with velocity \(2{v}\) and \(v\) respectively. The velocity of center of mass is:

  • Question 8
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    In a 10-bit PCM system, a message signal having maximum frequency of \(4 \mathrm{KHz}\) is to be transmitted. If the bit rate of this PCM system is 60 Kbits / sec, the appropriate sampling frequency is:

  • Question 9
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    Which of the following figures represents the variation of particle momentum \(P\) and associated de-Broglie wavelength \(\lambda\)?

  • Question 10
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    A small square loop of wire of side \(l\) is placed inside a large square loop of wire of side \(L(L>>l)\). The loops are coplanar and their centers coincide. The mutual inductance of the system is proportional to:

  • Question 11
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    Two charges of \(+4 \mu \mathrm{C}\) and \(-16 \mu \mathrm{C}\) are separated from each other by a distance of \(0.6 \mathrm{~m}\). At what distance should a third charge of \(+6 \mu \mathrm{C}\) be placed from \(+4 \mu \mathrm{C}\) so that no force exerts on it will be zero?

  • Question 12
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    The height at which the weight of a body becomes \((\frac{1 }{ 16})\) th of its weight on the surface of the earth (radius \(R\) ) is:

  • Question 13
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    The kinetic energy of a body is stated to increase by 300 percent. The corresponding increase in the momentum of the body will be:

  • Question 14
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    An object is placed at a distance of \(10 \mathrm{~cm}\) in front of a double convex lens made of glass of refractive index 1.5. Both the radii of curvature of the lens are \(20 \mathrm{~cm}\) in magnitude. What is the position of the image formed?

  • Question 15
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    When we pull back the string of catapult (gulel) to throw a stone, it holds an energy. Which kind of energy is this?

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