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Q. No.The average electric field associated with the plane electromagnetic wave \(\vec E = E_0 \hat {i} \sin (wt - kz)\) is:
1.
\(E_0 \hat i\)
2.
\(\dfrac {E_0} { \sqrt 2}\) \(\hat i \)
3.
\(\sqrt 2E_0 \hat i\)
4.
zero
Subtopic: Properties of EM Waves |
55%
Level 3: 35%-60%
Hints
Displacement current exists:
| 1. | when an electric field is changing in the circuit. |
| 2. | when an electric field is constant. |
| 3. | when an electric field is absent. |
| 4. | always exists independent of the electric field. |
Subtopic: Displacement Current |
81%
Level 1: 80%+
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Hints
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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: Generation of EM Waves |
66%
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: Properties of EM Waves |
67%
Level 2: 60%+
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: Electromagnetic Spectrum |
73%
Level 2: 60%+
NEET - 2022
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. \(v=\sqrt{\dfrac{\varepsilon_{{r}}}{\mu_{{r}}}}\)
(\(c\) = 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: Properties of EM Waves |
86%
Level 1: 80%+
NEET - 2022
Hints
Given below are two statements:
| Assertion (A): | A charge moving in a circular orbit can produce an electromagnetic wave. |
| Reason (R): | The source of the electromagnetic wave should be in accelerated motion. |
| 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. | Both (A) and (R) are False. |
Subtopic: Generation of EM Waves |
82%
Level 1: 80%+
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Hints
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If \(\lambda_X,\lambda_I,\lambda_M\) and \(\lambda_\gamma\) are the wavelengths of \(X\)-rays, infrared rays, microwaves and \(\gamma\)-rays respectively, then:
| 1. | \(\lambda_\gamma<\lambda_X<\lambda_I<\lambda_M\) |
| 2. | \(\lambda_M<\lambda_I<\lambda_X<\lambda_\gamma\) |
| 3. | \(\lambda_X<\lambda_\gamma<\lambda_M<\lambda_I\) |
| 4. | \(\lambda_X<\lambda_I<\lambda_\gamma<\lambda_M\) |
Subtopic: Electromagnetic Spectrum |
84%
Level 1: 80%+
NEET - 2022
Hints
Given below are two statements.
| Assertion (A): | Light can travel in vacuum whereas sound cannot. |
| Reason (R): | Light is an electromagnetic wave whereas 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. | Both (A) and (R) are False. |
Subtopic: Properties of EM Waves |
88%
Level 1: 80%+
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A light wave traveling in air along \(x\)-direction is given by \(E_{y}=540 \sin \pi \times 10^{4}(x-c t) \) Vm–1. The peak value of the magnetic field of the wave will be: (Given \( c= 3 \times 10^8 \) ms–1)
1. \(18 \times 10^{-7}\) T
2. \(54 \times 10^{-7}\) T
3. \(54 \times 10^{-8}\) T
4. \(18 \times 10^{-8}\) T
1. \(18 \times 10^{-7}\) T
2. \(54 \times 10^{-7}\) T
3. \(54 \times 10^{-8}\) T
4. \(18 \times 10^{-8}\) T
Subtopic: Properties of EM Waves |
87%
Level 1: 80%+
JEE
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