Two rigid bodies \(A\) and \(B\) rotate with rotational kinetic-energies \(E_A\) and \(E_B\) respectively. The moments of inertia of \(A\) and \(B\) about the axis of rotation are \(I_A\) and \(I_B\) respectively. If \(I_A=\frac{I_B}{4}\) and \(E_A=100=E_0,\) the ratio of angular momentum \((L_A)\) of \(A\) to the angular momentum \((L_B)\) of \(B\) is:
1. \(25\)
2. \(5/4\)
3. \(5\)
4. \(1/4\)
Subtopic: Angular Momentum |
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Two simple pendulums of length \(0.5\) m and \(20\) m respectively are given small linear displacement in one direction at the same time. They will again be in the phase when the pendulum of shorter length has completed \(n\) oscillations, where \(n\) is:
1. \(1\)
2. \(3\)
3. \(2\)
4. \(5\)
Subtopic: Simple Harmonic Motion |
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A balloon contains \(500\) m3 of helium at \(27~^\circ \mathrm{C}\) and \(1\) atmosphere pressure. The volume of the helium at \(-3~^\circ \mathrm{C}\) temperature and \(0.5\) atmosphere pressure will be:
\(220 ~\mathrm{V}\), \(50~\mathrm{Hz}\), AC source is connected to an inductance of \(0.2~\mathrm{H}\) and a resistance of \(20\)\(\Omega\) in series. What is the current in the circuit?
In \(0.2\) s, the current in a coil increases from \(2.0\) A to \(3.0\) A. If the inductance of a coil is \(60\) mH, then the induced current in external resistance of 3 \(\Omega\) will be:
1. \(1\) A
2. \(0.5\) A
3. \(0.2\) A
4. \(0.1\) A
Subtopic: Faraday's Law & Lenz Law |
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