A variable frequency AC source is connected to a capacitor. Then on increasing the frequency:
1. | Both conduction current and displacement current will increase |
2. | Both conduction current and displacement current will decrease |
3. | Conduction current will increase and displacement current will decrease |
4. | Conduction current will decrease and displacement current will increase |
Instantaneous displacement current of \(2.0\) A is set up in the space between two parallel plates of \(1~\mu \text{F}\) capacitor. The rate of change in potential difference across the capacitor is:
1. \(3\times 10^{6}~\text{V/s}\)
2. \(4\times 10^{6}~\text{V/s}\)
3. \(2\times 10^{6}~\text{V/s}\)
4. None of these
Which statement is incorrect?
1. | Speed of light in free space \(=\frac{1}{\sqrt{\mu_0 \epsilon_0}}\) |
2. | Speed of light in the medium \(=\frac{1}{\sqrt{\mu \epsilon}}\) |
3. | \(\frac{E_0}{B_0}=c\) |
4. | \(\frac{B_0}{E_0}=c\) |
1. | \(2\) A | 2. | \(3\) A |
3. | \(6\) A | 4. | \(9\) A |
Assertion (A): | Light can travel in vacuum but sound cannot do so. |
Reason (R): | Light is an electromagnetic wave and sound is a mechanical wave. |
1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
3. | (A) is True but (R) is False. |
4. | (A) is False but (R) is True. |
1. | \(36.6\) m | 2. | \(40.5\) m |
3. | \(42.3\) m | 4. | \(50.9\) m |
If \(\varepsilon_0~\text{and}~\mu_0\) represent the permittivity and permeability of vacuum and \(\varepsilon~\text{and}~\mu\) represent the permittivity and permeability of the medium, the refractive index of the medium is given by:
1. | \(\sqrt{\dfrac{\varepsilon_0 \mu_0}{\varepsilon \mu}}\) | 2. | \(\sqrt{\dfrac{\varepsilon \mu}{\varepsilon_0 \mu_0}}\) |
3. | \(\sqrt{\dfrac{\varepsilon }{\varepsilon_0 \mu_0}}\) | 4. | \(\sqrt{\dfrac{\varepsilon_0 \mu_0}{\varepsilon }}\) |
1. | \(E_z=30 \sqrt{2} \sin \left(0.5 \times 10^3 x-1.5 \times 10^{11} t\right)~\text{V/m}\) |
2. | \(E_z=60 \sin \left(0.5 \times 10^3 x-1.5 \times 10^{11} t\right)~\text{V/m}\) |
3. | \(E_y=30 \sqrt{2} \sin \left(0.5 \times 10^{11} x-1.5 \times 10^3 t\right)~\text{V/m}\) |
4. | \(E_y=60 \sin \left(0.5 \times 10^3 x-1.5 \times 10^{11} t\right)~\text{V/m}\) |
1. | \(4000~\mathring{A}\). | Ultraviolet light has a wavelength shorter than
2. | Infrared light has a wavelength longer than \(7000~\mathring{A}\). |
3. | Red light has a wavelength near about \(7000~\mathring{A}\). |
4. | Violet light has a wavelength near about \(7000~\mathring{A}\). |
A plane electromagnetic wave travels in free space along \(x\text-\)axis. At a particular point in space, the electric field along \(y\text-\)axis is \(9.3~\text{Vm}^{-1}.\) The magnetic induction is:
1. | \(3.1\times 10^{-8}~\text{T}\) | 2. | \(3\times 10^{-5}~\text{T}\) |
3. | \(3\times 10^{-6}~\text{T}\) | 4. | \(9.3\times 10^{-6}~\text{T}\) |