An electric dipole is placed at an angle of \(30^\circ\) with an electric field of intensity \(2\times 10^5 ~\text{NC}^{-1}\). It experiences a torque equal to \(4~\text{N-m}\). Calculate the magnitude of charge on the dipole if the dipole length is \(2~\text{cm}\).
1. \(2~\text{mC}\)
2. \(8~\text{mC}\)
3. \(6~\text{mC}\)
4. \(4~\text{mC}\)
Subtopic: Electric Dipole |
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Let a wire be suspended from the ceiling (rigid support) and stretched by a weight \(W\) attached at its free end. The longitudinal stress at any point of cross-sectional area \(A\) of the wire is:
1. zero
2. \(\dfrac{2W}{A}\)
3. \(\dfrac{W}{A}\)
4. \(\dfrac{W}{2A}\)
Subtopic: Stress - Strain |
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A \(12~\text{V},60~\text{W}\) lamp is connected to the secondary of a step down transformer, whose primary is connected to ac mains of \(220~\text{V}\). Assuming the transformer to be ideal, what is the current in the primary winding?
1. \(0.37~\text{A}\)
2. \(0.27~\text{A}\)
3. \(2.7~\text{A}\)
4. \(3.7~\text{A}\)
Subtopic: Transformer |
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In a series \({LCR}\) circuit, the inductance \({L}\) is \(10~\text{mH}\), capacitance \({C}\) is \(1~\mu\text{F}\) and resistance \({R}\) is \(100~\Omega\). The frequency at which resonance occurs is:
1.
\(1.59~\text{kHz}\)
2.
\(15.9~\text{rad/s}\)
3.
\(15.9~\text{kHz}\)
4.
\(1.59~\text{rad/s}\)
Subtopic: Different Types of AC Circuits |
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Two bodies of mass \(m\) and \(9m\) are placed at a distance \(R\). The gravitational potential on the line joining the bodies where the gravitational field equals zero, will be: (\(G\) = gravitational constant)
1. \(-\dfrac{20~Gm}{R}\)
2. \(-\dfrac{8~Gm}{R}\)
3. \(-\dfrac{12~Gm}{R}\)
4. \(-\dfrac{16~Gm}{R}\)
Subtopic: Gravitational Potential |
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Light travels a distance \(x\) in time \(t_1\) in air and \(10x\) in time \(t_2\) in another denser medium. What is the critical angle for this medium?
1. \(\sin ^{-1}\left(\dfrac{10 t_1}{t_2}\right) \)
2. \(\sin ^{-1}\left(\dfrac{ t_2}{t_1}\right) \)
3. \(\sin ^{-1}\left(\dfrac{10 t_2}{t_1}\right) \)
4. \(\sin ^{-1}\left(\dfrac{ t_1}{10t_2}\right) \)
Subtopic: Total Internal Reflection |
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The amount of energy required to form a soap bubble of radius \(2~\text{cm}\) from a soap solution is nearly: \((\)surface tension of soap solution \(0.03~\text{Nm}^{-1})\)
1. \(50.1 \times 10^{-4}~\text{J}\)
2. \(30.16 \times 10^{-4}~ \text{J}\)
3. \(5.06 \times 10^{-4} ~\text{J}\)
4. \(3.01\times 10^{-4} ~\text{J}\)
Subtopic: Surface Tension |
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The minimum wavelength of X-rays produced by an electron accelerated through a potential difference of \(V\) volts is proportional to:
1. \(V^2\)
2. \(\sqrt{V}\)
3. \(1/V\)
4. \(\frac{1}{\sqrt{V}}\)
Subtopic: X-Ray (OLD NCERT) |
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