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. \(5\)
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. \(5\)
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:
1. \(1000\) m3
2. \(900\) m3
3. \(700\) m3
4. \(500\) m3
2. \(900\) m3
3. \(700\) m3
4. \(500\) m3
Subtopic: Ideal Gas Equation |
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\(220 ~\mathrm{V}\), \(50~\mathrm{Hz}\), 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?
1. \(3.33~\mathrm{A}\)
2. \(33.3~\mathrm{A}\)
3. \(5\mathrm{A}\)
4. \(10\mathrm{~A}\)
2. \(33.3~\mathrm{A}\)
3. \(5\mathrm{A}\)
4. \(10\mathrm{~A}\)
Subtopic: RMS & Average Values |
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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
2. \(0.5\) A
3. \(0.2\) A
4. \(0.1\) A
Subtopic: Faraday's Law & Lenz Law |
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Two coherent light beams of intensities \(I\) and \(4I\) are superposed. The maximum and minimum possible intensities in the resulting beam are:
1. \(5I\) and\(I\)
2. \(5I\) and \(3I\)
3. \(9I\) and \(I\)
4. \(9I\) and \(3I\)
2. \(5I\) and \(3I\)
3. \(9I\) and \(I\)
4. \(9I\) and \(3I\)
Subtopic: Superposition Principle |
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A galvanometer acting as a voltmeter should have:
| 1. | low resistance in series with its coil |
| 2. | low resistance in parallel with its coil |
| 3. | high resistance in series with its coil |
| 4. | high resistance in parallel with its coil |
Subtopic: Moving Coil Galvanometer |
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The equivalent resistance across \(A\) and \(B\) is:
1. \(2~\Omega\)
2. \(3~\Omega\)
3. \(4~\Omega\)
4. \(5~\Omega\)
2. \(3~\Omega\)
3. \(4~\Omega\)
4. \(5~\Omega\)
Subtopic: Wheatstone Bridge |
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A black body has a wavelength of \(\lambda\) at temperature \(2000\) K. Its corresponding wavelength at temperature \(3000\) K will be:
1. \(\frac{2\lambda}{3}\)
2. \(\frac{3\lambda}{2}\)
3. \(\frac{4\lambda}{9}\)
4. \(\frac{9\lambda}{4}\)
1. \(\frac{2\lambda}{3}\)
2. \(\frac{3\lambda}{2}\)
3. \(\frac{4\lambda}{9}\)
4. \(\frac{9\lambda}{4}\)
Subtopic: Wien's Displacement Law |
64%
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At room temperature, copper has free electron density of \(8.4 \times 10^{28}\) m-3. The electron drift velocity in a copper conductor of a cross-sectional area of \(10^{-6}\) m2 and carrying a current of \(5.4\) A, will be:
1. \(4\) ms-1
2. \(0.4\) ms-1
3. \(4\) cms-1
4. \(0.4\) mms-1
2. \(0.4\) ms-1
3. \(4\) cms-1
4. \(0.4\) mms-1
Subtopic: Current & Current Density |
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A uniform wire of resistance \(R\) and length \(L\) is cut into four equal parts, each of length \(L/4\) which is then connected in parallel combination. The effective resistance of the combination will be:
1. \(R\)
2. \(4R\)
3. \(\frac R4\)
4. \(\frac{R}{16}\)
2. \(4R\)
3. \(\frac R4\)
4. \(\frac{R}{16}\)
Subtopic: Combination of Resistors |
62%
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