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  • Question 1
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    A solid cylinder of mass 2 kg and radius 4 cm rotating about its axis at the rate of 3 rpm. The torque required to stop after 2π revolutions is

  • Question 2
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    The moment of the force, \(\overrightarrow{\mathrm{F}}=4 \hat{\mathrm{i}}+5 \hat{\mathrm{j}}-6 \hat{\mathrm{k}}\) at \((2,0,-3),\) about the point \((2,-2,-2),\) is given by

  • Question 3
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    If a current \(I\) given by \(I_{0} \sin [\omega t-(\frac{\pi} { 2})]\) flows in an ac circuit across which an ac potential of \(E=\mathrm{E}_{\mathrm{0}} sin~\omega t\) has been applied, then the power consumption \(\mathrm{P}\) in the circuit will be,

  • Question 4
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    \(1 kg\) of water at \(100^{\circ} C\) is converted into steam at \(100^{\circ} C\) by boiling at atmospheric pressure. The volume of water changes from \(1.00 \times 10^{-3} m ^3\) as a liquid to 1. \(671 m ^3\) as steam. The change in internal energy of the system during the process will be (Given latent heat of vaporisation \(=2257 kJ / kg\), Atmospheric pressure \(\left.=1 \times 10^5 Pa \right)\)

  • Question 5
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    For a photosensitive surface, work function is \(3.3 \times 10^{-19} \mathrm{~J}\). Taking plank's constant to be \(6.6 \times 10^{-34} \mathrm{Js}\). Find threshold frequency.

  • Question 6
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    \(\mathrm{C}_{\mathrm{s}}\) is the velocity of sound in air and \(\mathrm{C}\) is the R.M.S. velocity, then:

  • Question 7
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    The displacement of a body from a reference point is given by \(\sqrt{x}=2 t+3\), where \({x}\) is in metres and \({t}\) is in seconds. The initial velocity of the body is:

  • Question 8
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    In a series resonant circuit, the AC voltage across resistance \(\mathrm{R}\), inductor \(\mathrm{L}\) and capacitor \(\mathrm{C}\), are \(5 \mathrm{~V}, 10 \mathrm{~V}\) and \(10 \mathrm{~V}\) respectively. The AC voltage applied to the circuit will be:

  • Question 9
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    The mass number of nucleus having radius equal to half of the radius of nucleus with mass number 192 is:

  • Question 10
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    Work of invertor is:

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