A cylinder of radius \(R\) and length \(L\) is placed in a uniform electric field \(E\) parallel to the cylinder axis. The total flux for the surface of the cylinder is given by:
1. \(2\pi R^2E\)
2. \(\frac{\pi R^2}{E}\)
3. \(\frac RE\)
4. zero
A cylinder of radius \(R\) and length \(L\) is placed in a uniform electric field \(E\) parallel to the cylinder axis. The total flux for the surface of the cylinder is given by:
1. \(2\pi R^2E\)
2. \(\frac{\pi R^2}{E}\)
3. \(\frac RE\)
4. zero
If A + B = C and that C is perpendicular to A. What is the angle between A and B, if |A| = |C|?
1. \(\frac{\pi}{4}~\text{rad}\)
2. \(\frac{\pi}{2}~\text{rad}\)
3. \(\frac{3\pi}{4}~\text{rad}\)
4. \(\pi~\text{rad}\)
1. \( 2 \mathrm{~m} / \mathrm{s} \)
2. \( 3 \mathrm{~m} / \mathrm{s} \)
3. \( 3.25 \mathrm{~m} / \mathrm{s} \)
4. \( 4.25 \mathrm{~m} / \mathrm{s}\)
2. 45 yr
3. 20 yr
4. 15 yr
In the given figure what will be the coefficient of mutual inductance?
1. \(\frac{\mu_0a}{2\pi}in\Big(1+\frac{a}{2b}\Big)\)
2. \(\frac{\mu_0a}{\pi}in\Big(1+\frac{b}{2a}\Big)\)
3. \(\frac{\mu_0a}{2\pi}in\Big(1+\frac{a}{b}\Big)\)
4. \(\frac{\mu_0a}{2\pi}in\Big(1+\frac{b}{a}\Big)\)
1. \( 50 \mathrm{~W} \)
2. \( 100 \mathrm{~W} \)
3. \( 200 \mathrm{~W} \)
4. \( 400 \mathrm{~W}\)
The intensity of each of the two slits in Young's double slit experiment is \(I_0\). What is the minimum separation between the points on the screen, where intensities are \(2I_0\) and \(I_0\), if fringe width is \(b\)?
1. \(b \over 5 \)
2. \(b \over 8 \)
3. \(b \over 12 \)
4. \(b \over 4\)
A metal rod at a temperature of \(145^\circ\mathrm{C}\), radiates energy at a rate of \(17~\mathrm{W}\). If its temperature is increased to \(273^\circ\mathrm{C}\), then it will radiate at the rate of:
1. \(
49.6 \mathrm{~W}
\)
2. \( 17.5 \mathrm{~W}
\)
3. \( 50.3 \mathrm{~W}
\)
4. \(67.5 \mathrm{~W}\)
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