A compass needle is placed in the gap of a parallel plate capacitor. The capacitor is connected to a battery through a resistance. The compass needle:
| 1. | does not deflect. | 
| 2. | deflects for a very short time and then comes back to the original position. | 
| 3. | deflects and remains deflected as long as the battery is connected. | 
| 4. | deflects and gradually comes to the original position in a time which is large compared to the time constant. | 
Displacement current goes through the gap between the plates of a capacitor when the charge of the capacitor:
| (a) | increases | 
| (b) | decreases | 
| (c) | does not change | 
| (d) | is zero | 
A capacitor of capacitance \(C\) is connected across an AC source of voltage \(V\), given by;
\(V=V_0 \sin \omega t\)
The displacement current between the plates of the capacitor would then be given by:
1. \( I_d=\dfrac{V_0}{\omega C} \sin \omega t \)
2. \( I_d=V_0 \omega C \sin \omega t \)
3. \( I_d=V_0 \omega C \cos \omega t \)
4. \( I_d=\dfrac{V_0}{\omega C} \cos \omega t\)
| (A) | a varying sinusoidal current flowing through a capacitor | 
| (B) | an electric dipole, whose size (and magnitude) is oscillating with time | 
| (C) | a steady current flowing through a toroid | 
| 1. | only (A) | 
| 2. | only (B) | 
| 3. | only (A) & (B) | 
| 4. | (A), (B), (C) | 
| Statement I: | Charged particles which undergo acceleration or deceleration radiate their energy away. | 
| Statement II: | Therefore, charged particles moving in circular paths in a uniform magnetic field should also radiate their energy. | 
| 1. | Statement I is true, Statement II is true and Statement I implies Statement II. | 
| 2. | Statement I is true, Statement II is true and Statement I does not imply Statement II. | 
| 3. | Statement I is true, Statement II is false. | 
| 4. | Statement I is false, Statement II is true. | 
Out of the following options which one can be used to produce a propagating electromagnetic wave?
| 1. | a stationary charge. | 
| 2. | a chargeless particle. | 
| 3. | an accelerating charge. | 
| 4. | a charge moving at constant velocity. | 
Assume a bulb of efficiency \(2.5\%\) as a point source. The peak values of the electric field and magnetic field produced by the radiation coming from a \(100~\text{W}\) bulb at a distance of \(3~\text{m}\) are respectively:
| 1. | \( 2.5 ~\text{V/m}, ~2.2 \times 10^{-8} ~\text{T} \) | 
| 2. | \( 3.6 ~\text{V/m}, ~ 3.6 ~\text{T} \) | 
| 3. | \( 4.07~\text{V/m},~ 1.4 \times 10^{-8} ~\text{T}\) | 
| 4. | \( 4.2 ~\text{V/m}, ~3.4 \times 10^{-6}~\text{T}\) | 
| 1. | \( 2.16~\text{cm}, 24.1~\text{GHz} \) | 2. | \( 0.29~\text{cm}, 13.7~\text{GHz} \) | 
| 3. | \( 3.23 ~\text{cm}, 20.0~\text{GHz} \) | 4. | \( 1.26~\text{cm}, 23.9~\text{GHz}\) | 
| 1. | \(\dfrac {E_0} {\sqrt 2}\) | 2. | \(E_0\) | 
| 3. | \(\sqrt 2 E_0\) | 4. | \(\sqrt 3 E_0\) |