Q. No.Given below are two statements:
Statement I:
Electromagnetic waves are radiated when a charged particle undergoes SHM.
Statement II:
Electromagnetic waves propagate energy in the direction of the electric field of the wave.
1.
Statement I is incorrect and Statement II is correct.
2.
Both Statement I and Statement II are correct.
3.
Both Statement I and Statement II are incorrect.
4.
Statement I is correct and Statement II is incorrect.
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| Statement I: | Electromagnetic waves propagate through all media with a speed \(c=\dfrac{1}{\sqrt{\varepsilon_0\mu_0}}.\) |
| Statement II: | Electromagnetic waves can undergo reflection and refraction. |
| 1. | Statement I is incorrect and Statement II is correct. |
| 2. | Both Statement I and Statement II are correct. |
| 3. | Both Statement I and Statement II are incorrect. |
| 4. | Statement I is correct and Statement II is incorrect. |
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| 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. |
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| 1. | \(f_t=f_0\) |
| 2. | \(f_t>f_0\) |
| 3. | \(f_t<f_0\) |
| 4. | \(f_t\neq f_0\) |
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\(\vec E_1(x,t)=E_1\hat j~\sin(\omega t-k_0x),\) 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. | \(2\sqrt2\) |
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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 |
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| 1. | Zero |
| 2. | \(\lambda\) |
| 3. | \(n\lambda,\) where \(n\) is an integer |
| 4. | \(2n\lambda,\) where \(n\) is an integer |
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1. \(\dfrac{P}{c}\)
2. \(\dfrac{P}{2c}\)
3. \(\dfrac{\sqrt3P}{c}\)
4. \(\dfrac{\sqrt3P}{2c}\)
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| (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) |
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| 1. | \(\dfrac{L}{T}\) | 2. | \(\dfrac{2L}{T}\) |
| 3. | \(\dfrac{L}{2T}\) | 4. | \(\dfrac{\sqrt3L}{T}\) |
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