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Q. No.To produce an instantaneous displacement current of \(2~\text{mA}\) in the space between the parallel plates of a capacitor of capacitance \(4~\mu\text{F}\), the rate of change of applied variable potential difference \(\left(\dfrac{dV}{dt}\right) \) must be:
1. \( 800~ \text{V} / \text{s} \)
2. \( 500~ \text{V} / \text{s} \)
3. \( 200~ \text{V} / \text{s} \)
4. \( 400 ~\text{V} / \text{s}\)
Subtopic: Â Displacement Current |
 80%
Level 1: 80%+
NEET - 2023
Hints
\(\varepsilon_0\) and \(\mu_0\) are the electric permittivity and magnetic permeability of free space respectively. If the corresponding quantities of a medium are \(2\varepsilon_0\) and \(1.5\mu_0\) respectively, the refractive index of the medium will nearly be:
1. \(\sqrt2\)
2. \(\sqrt3\)
3. \(3\)
4. \(2\)
1. \(\sqrt2\)
2. \(\sqrt3\)
3. \(3\)
4. \(2\)
Subtopic: Â Properties of EM Waves |
 82%
Level 1: 80%+
NEET - 2023
Hints
An electromagnetic wave of frequency \(\nu=3.0\) MHz passes from a vacuum into a dielectric medium with relative permittivity \(\varepsilon =4.0.\) Then:
| 1. | wavelength is doubled and frequency becomes half |
| 2. | wavelength is halved and frequency remains unchanged |
| 3. | wavelength and frequency both remain unchanged |
| 4. | wavelength is doubled and frequency unchanged |
Subtopic: Â Properties of EM Waves |
 73%
Level 2: 60%+
NEET - 2013
Hints
The speed of electromagnetic waves is:
| 1. | higher in vacuum compared to other media. |
| 2. | lower in vacuum compared to other media. |
| 3. | independent of the medium. |
| 4. | lower in some media than in vacuum, and higher in others. |
Subtopic: Â Properties of EM Waves |
 68%
Level 2: 60%+
Hints
When light propagates through a material medium of relative permittivity, \(\varepsilon_{r}\) and relative permeability, \(\mu_{r}\) the velocity of light, \(v\) is given by: (\(c\) = velocity of light in vacuum)
| 1. | \(v=\dfrac{{c}}{\sqrt{\varepsilon_{r} \mu_{{r}}}}\) | 2. | \(v={c}\) |
| 3. | \(v=\sqrt{\dfrac{\mu_{{r}}}{\varepsilon_{{r}}}}\) | 4. | \(v=\sqrt{\dfrac{\varepsilon_{{r}}}{\mu_{{r}}}}\) |
Subtopic: Â Properties of EM Waves |
 87%
Level 1: 80%+
NEET - 2022
Hints
Match List I with List II.
Choose the correct answer from the options given below:
| List - I (Electromagnetic waves) |
List - II (Wavelength) |
||
| (a) | AM radio waves | (i) | \(10^{-10}~\text{m}\) |
| (b) | Microwaves | (ii) | \(10^{2} ~\text{m}\) |
| (c) | Infrared radiation | (iii) | \(10^{-2} ~\text{m}\) |
| (d) | \(X\)-rays | (iv) | \(10^{-4} ~\text{m}\) |
Choose the correct answer from the options given below:
| (a) | (b) | (c) | (d) | |
| 1. | (ii) | (iii) | (iv) | (i) |
| 2. | (iv) | (iii) | (ii) | (i) |
| 3. | (iii) | (ii) | (i) | (iv) |
| 4. | (iii) | (iv) | (ii) | (i) |
Subtopic: Â Electromagnetic Spectrum |
 74%
Level 2: 60%+
NEET - 2022
Hints
When an electromagnetic wave of frequency \(f_0\) undergoes refraction at the interface of two transparent (non-absorbing) media, the frequency of the transmitted wave is \(f_t.\) Then:
| 1. | \(f_t=f_0\) |
| 2. | \(f_t>f_0\) |
| 3. | \(f_t<f_0\) |
| 4. | \(f_t\neq f_0\) |
Subtopic: Â Properties of EM Waves |
 77%
Level 2: 60%+
Hints
The region on the left of the \(y\)-axis \((x<0)\) represents vacuum, and the region on the right \((x>0)\) represents a transparent medium. An electromagnetic wave travelling along the \(x\)-axis given by:
\(\vec E_1(x,t)=E_1\hat j~\sin(\omega t-k_0x),\) where \(x<0,\)
is incident on to the medium on the right. The transmitted wave in the medium is:
\(\vec E_2(x,t)=E_2\hat j~\sin(\omega t-2k_0x),\) where \(x>0.\)
The refractive index of the medium is:
\(\vec E_1(x,t)=E_1\hat j~\sin(\omega t-k_0x),\) where \(x<0,\)
is incident on to the medium on the right. The transmitted wave in the medium is:
\(\vec E_2(x,t)=E_2\hat j~\sin(\omega t-2k_0x),\) where \(x>0.\)
The refractive index of the medium is:
| 1. | \(2\) | 2. | \(\sqrt2\) |
| 3. | \(4\) | 4. | \(2\sqrt2\) |
Subtopic: Â Properties of EM Waves |
 67%
Level 2: 60%+
Hints
A plane electromagnetic waveform given by: \(\vec {E}_1=E_0\hat j\sin(\omega t-kx)\)
propagates along the \(x\)-axis. A second waveform given by: \(\vec {E}_2=E_0\hat k\sin(\omega t-kx)\)
is also allowed to propagate. The magnetic field has the amplitude: (Assume speed of light in vacuum is \(c\))
propagates along the \(x\)-axis. A second waveform given by: \(\vec {E}_2=E_0\hat k\sin(\omega t-kx)\)
is also allowed to propagate. The magnetic field has the amplitude: (Assume speed of light in vacuum is \(c\))
| 1. | \(\dfrac{E_0}{c}\) | 2. | \(\dfrac{E_0}{2c}\) |
| 3. | \(\dfrac{\sqrt2E_0}{c}\) | 4. | Zero |
Subtopic: Â Properties of EM Waves |
 65%
Level 2: 60%+
Hints
Which of the following situation(s), can cause the radiation of an electromagnetic wave?
Choose the correct option from the given ones:
| (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 |
Choose the correct option from the given ones:
| 1. | only (A) |
| 2. | only (B) |
| 3. | only (A) & (B) |
| 4. | (A), (B), (C) |
Subtopic: Â Generation of EM Waves |
 67%
Level 2: 60%+
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