Q. No.The speed of an electromagnetic wave in water is \(c_{_1},\) and its speed in vacuum is \(c.\) Then,
1.
\(c=c_{_1}\)
2.
\(c>c_{_1}\)
3.
\(c<c_{_1}\)
4.
any of the above is possible
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| 1. | a charge moving with constant velocity |
| 2. | a charged particle falling freely under gravity |
| 3. | a magnet moving with constant velocity |
| 4. | a dipole at rest, in a uniform electric field |
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\(\vec E=(E_0\hat j)\sin(\omega t-kx)\)
where \(\omega,k\) are constants. The intensity of this wave is proportional to:
| 1. | \(E_0\) | 2. | \(E_0^2\) |
| 3. | \(E_0^{-1}\) | 4. | \(E_0^{-2}\) |
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| 1. | along \(x\)-axis |
| 2. | along \(y\)-axis |
| 3. | along \(z\)-axis |
| 4. | both along \(y,z\) but not along \(x\)-axis |
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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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| 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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| 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. |
Choose the correct option from the given ones:
| 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. | \(f_t=f_0\) |
| 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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