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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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. \(\frac{9\lambda}{4}\)
Subtopic: Wien's Displacement Law |
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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:
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: