The distance between the two plates of a parallel plate capacitor is doubled, and the area of each plate is halved. If \(C\) is its initial capacitance, its final capacitance is equal to:
1.
\(2C\)
2.
\(\dfrac{C}{2}\)
3.
\(4C\)
4.
\(\dfrac{C}{4}\)
Subtopic: Capacitance |
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The terminal velocity of a copper ball of radius \(5~\text{mm}\) falling through a tank of oil at room temperature is \(10~\text{cm}~\text{s}^{-1}\) . If the viscosity of oil at room temperature is \(0.9~\text{kg}~\text{m}^{-1}~\text{s}^{-1}\), the viscous drag force is:
1. \(8.48 \times10^{-3}\) N
2. \(8.48 \times10^{-5}\) N
3. \(4.23 \times10^{-3}\) N
4. \(4.23 \times10^{-6}\) N
Subtopic: Stokes' Law |
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If \(\vec F=2\hat i+\hat j-\hat k\) and \(\vec r=3\hat i+2\hat j-2\hat k,\) then the scalar and vector products of \(\vec F\) and \(\vec r\) have the magnitudes, respectively, as:
1. \(5, ~\sqrt3\)
2. \(4,~ \sqrt5\)
3. \(10, ~\sqrt2\)
4. \(10,~2\)
Subtopic: Vector Product |
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After passing through a polarizer, a linearly polarized light of intensity \(I\) is incident on an analyser making an angle of \(30^\circ\) with the axes of the polariser. The intensity of light emitted from the analyser will be:
1. \(\dfrac{I}{2}\)
2. \(\dfrac{I}{3}\)
3. \(\dfrac{3I}{4}\)
4. \(\dfrac{2I}{3}\)
Subtopic: Polarization of Light |
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If the screen is moved away from the plane of the slits in Young's double slit experiment, then the:
1. angular separation of the fringes increases.
2. angular separation of the fringes decreases.
3. linear separation of the fringes increases.
4. linear separation of the fringes decreases.
Subtopic: Young's Double Slit Experiment |
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The effective capacitances of two capacitors are \(3~\mu \text{F}\) and \(16~\mu \text{F}\), when they are connected in series and parallel respectively. The capacitance of two capacitors are:
1. \(10 ~\mu \text{F}, ~6~\mu \text{F}\)
2. \(8 ~\mu \text{F}, ~8~\mu \text{F}\)
3. \(12~\mu \text{F},~ 4~\mu \text{F}\)
4. \(1.2~\mu \text{F},~1.8~\mu \text{F}\)
Subtopic: Combination of Capacitors |
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A gravitational field is present in a region and a mass is shifted from \(A\) to \(B\) through different paths as shown. If \(W_1\), \(W_2\) and \(W_3\) represent the work done by the gravitational force along their respective paths, then:
1.
\(W_1=W_2=W_3\)
2.
\(W_1>W_2>W_3\)
3.
\(W_1>W_3>W_2\)
4.
\(W_1<W_2<W_3\)
Subtopic: Gravitational Potential Energy |
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