Electromagnetic Waves
« Previous Topic: Electromagnetic Spectrum Last Topic in »
Join With Us for More Updates
PHXI15:WAVES

358938 A monochromatic beam of light has a frequency \(v = \frac{3}{{2\pi }} \times {10^{12}}\;Hz\) and is propagating along the direction \(\dfrac{\hat{i}+\hat{j}}{\sqrt{2}}\). It is polarized along the \(\hat{k}\) direction. The acceptable form for the magnetic field is:

1 \(\dfrac{E_{0}}{C}\left(\dfrac{\hat{i}-\hat{j}}{\sqrt{2}}\right) \cos \left[10^{4} \dfrac{(\hat{i}-\hat{j})}{\sqrt{2}} \cdot \vec{r}-\left(3 \times 10^{12}\right) t\right]\)
2 \(\dfrac{E_{0}}{C} \hat{k} \cos \left[10^{4} \dfrac{(\hat{i}+\hat{j})}{\sqrt{2}} \cdot \vec{r}+\left(3 \times 10^{12}\right) t\right]\)
3 \(\dfrac{E_{0}}{C} \dfrac{(\hat{i}-\hat{j})}{\sqrt{2}} \cos \left[10^{4} \dfrac{(\hat{i}+\hat{j})}{\sqrt{2}} \cdot \vec{r}+\left(3 \times 10^{12}\right) t\right]\)
4 \(\dfrac{E_{0}}{C} \dfrac{(\hat{i}+\hat{j}+\hat{k})}{\sqrt{3}} \cos \left[10^{4} \dfrac{(\hat{i}+\hat{j})}{\sqrt{2}} \cdot \vec{r}+\left(3 \times 10^{12}\right) t\right]\)
JEE - 2018
PHXI15:WAVES

358939 I.
No material medium is involved in the vibrations of the electric and magnetic fields.
II.
Sound waves in air are longitudinal waves of compression and refraction.
III.
Transverse waves on the surface of water consist of water moving up and down as the wave spreads horizontally and radially onwards.
Which of the following statements are correct?

1 I and II
2 I and III
3 II and III
4 I, II and III
PHXI15:WAVES

358940 A plane electromagnetic wave in a non-magnetic dielectric medium is given by \({\vec{E}=\vec{E}_{0} \sin \left(4 \times 10^{-7} x-50 t\right)}\) with distance being in meter and time in seconds. The refractive index of medium is:

1 2.4
2 8.2
3 5.76
4 4.8
PHXI15:WAVES

358941 The speed of electromagnetic wave in a medium of dielectric constant 2.25 and relative permeability 4 is:

1 \({10^8}\;m{\rm{/}}s\)
2 \(2.5 \times {10^8}\;m{\rm{/}}s\)
3 \(2 \times {10^8}\;m{\rm{/}}s\)
4 \(3 \times {10^8}\;m{\rm{/}}s\)
For More Updates join with Us
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI15:WAVES

358938 A monochromatic beam of light has a frequency \(v = \frac{3}{{2\pi }} \times {10^{12}}\;Hz\) and is propagating along the direction \(\dfrac{\hat{i}+\hat{j}}{\sqrt{2}}\). It is polarized along the \(\hat{k}\) direction. The acceptable form for the magnetic field is:

1 \(\dfrac{E_{0}}{C}\left(\dfrac{\hat{i}-\hat{j}}{\sqrt{2}}\right) \cos \left[10^{4} \dfrac{(\hat{i}-\hat{j})}{\sqrt{2}} \cdot \vec{r}-\left(3 \times 10^{12}\right) t\right]\)
2 \(\dfrac{E_{0}}{C} \hat{k} \cos \left[10^{4} \dfrac{(\hat{i}+\hat{j})}{\sqrt{2}} \cdot \vec{r}+\left(3 \times 10^{12}\right) t\right]\)
3 \(\dfrac{E_{0}}{C} \dfrac{(\hat{i}-\hat{j})}{\sqrt{2}} \cos \left[10^{4} \dfrac{(\hat{i}+\hat{j})}{\sqrt{2}} \cdot \vec{r}+\left(3 \times 10^{12}\right) t\right]\)
4 \(\dfrac{E_{0}}{C} \dfrac{(\hat{i}+\hat{j}+\hat{k})}{\sqrt{3}} \cos \left[10^{4} \dfrac{(\hat{i}+\hat{j})}{\sqrt{2}} \cdot \vec{r}+\left(3 \times 10^{12}\right) t\right]\)
JEE - 2018
PHXI15:WAVES

358939 I.
No material medium is involved in the vibrations of the electric and magnetic fields.
II.
Sound waves in air are longitudinal waves of compression and refraction.
III.
Transverse waves on the surface of water consist of water moving up and down as the wave spreads horizontally and radially onwards.
Which of the following statements are correct?

1 I and II
2 I and III
3 II and III
4 I, II and III
PHXI15:WAVES

358940 A plane electromagnetic wave in a non-magnetic dielectric medium is given by \({\vec{E}=\vec{E}_{0} \sin \left(4 \times 10^{-7} x-50 t\right)}\) with distance being in meter and time in seconds. The refractive index of medium is:

1 2.4
2 8.2
3 5.76
4 4.8
PHXI15:WAVES

358941 The speed of electromagnetic wave in a medium of dielectric constant 2.25 and relative permeability 4 is:

1 \({10^8}\;m{\rm{/}}s\)
2 \(2.5 \times {10^8}\;m{\rm{/}}s\)
3 \(2 \times {10^8}\;m{\rm{/}}s\)
4 \(3 \times {10^8}\;m{\rm{/}}s\)
NEET DIGITAL LIBRARY
PHXI15:WAVES

358938 A monochromatic beam of light has a frequency \(v = \frac{3}{{2\pi }} \times {10^{12}}\;Hz\) and is propagating along the direction \(\dfrac{\hat{i}+\hat{j}}{\sqrt{2}}\). It is polarized along the \(\hat{k}\) direction. The acceptable form for the magnetic field is:

1 \(\dfrac{E_{0}}{C}\left(\dfrac{\hat{i}-\hat{j}}{\sqrt{2}}\right) \cos \left[10^{4} \dfrac{(\hat{i}-\hat{j})}{\sqrt{2}} \cdot \vec{r}-\left(3 \times 10^{12}\right) t\right]\)
2 \(\dfrac{E_{0}}{C} \hat{k} \cos \left[10^{4} \dfrac{(\hat{i}+\hat{j})}{\sqrt{2}} \cdot \vec{r}+\left(3 \times 10^{12}\right) t\right]\)
3 \(\dfrac{E_{0}}{C} \dfrac{(\hat{i}-\hat{j})}{\sqrt{2}} \cos \left[10^{4} \dfrac{(\hat{i}+\hat{j})}{\sqrt{2}} \cdot \vec{r}+\left(3 \times 10^{12}\right) t\right]\)
4 \(\dfrac{E_{0}}{C} \dfrac{(\hat{i}+\hat{j}+\hat{k})}{\sqrt{3}} \cos \left[10^{4} \dfrac{(\hat{i}+\hat{j})}{\sqrt{2}} \cdot \vec{r}+\left(3 \times 10^{12}\right) t\right]\)
JEE - 2018
PHXI15:WAVES

358939 I.
No material medium is involved in the vibrations of the electric and magnetic fields.
II.
Sound waves in air are longitudinal waves of compression and refraction.
III.
Transverse waves on the surface of water consist of water moving up and down as the wave spreads horizontally and radially onwards.
Which of the following statements are correct?

1 I and II
2 I and III
3 II and III
4 I, II and III
PHXI15:WAVES

358940 A plane electromagnetic wave in a non-magnetic dielectric medium is given by \({\vec{E}=\vec{E}_{0} \sin \left(4 \times 10^{-7} x-50 t\right)}\) with distance being in meter and time in seconds. The refractive index of medium is:

1 2.4
2 8.2
3 5.76
4 4.8
PHXI15:WAVES

358941 The speed of electromagnetic wave in a medium of dielectric constant 2.25 and relative permeability 4 is:

1 \({10^8}\;m{\rm{/}}s\)
2 \(2.5 \times {10^8}\;m{\rm{/}}s\)
3 \(2 \times {10^8}\;m{\rm{/}}s\)
4 \(3 \times {10^8}\;m{\rm{/}}s\)
Join With Us for More Updates
PHXI15:WAVES

358938 A monochromatic beam of light has a frequency \(v = \frac{3}{{2\pi }} \times {10^{12}}\;Hz\) and is propagating along the direction \(\dfrac{\hat{i}+\hat{j}}{\sqrt{2}}\). It is polarized along the \(\hat{k}\) direction. The acceptable form for the magnetic field is:

1 \(\dfrac{E_{0}}{C}\left(\dfrac{\hat{i}-\hat{j}}{\sqrt{2}}\right) \cos \left[10^{4} \dfrac{(\hat{i}-\hat{j})}{\sqrt{2}} \cdot \vec{r}-\left(3 \times 10^{12}\right) t\right]\)
2 \(\dfrac{E_{0}}{C} \hat{k} \cos \left[10^{4} \dfrac{(\hat{i}+\hat{j})}{\sqrt{2}} \cdot \vec{r}+\left(3 \times 10^{12}\right) t\right]\)
3 \(\dfrac{E_{0}}{C} \dfrac{(\hat{i}-\hat{j})}{\sqrt{2}} \cos \left[10^{4} \dfrac{(\hat{i}+\hat{j})}{\sqrt{2}} \cdot \vec{r}+\left(3 \times 10^{12}\right) t\right]\)
4 \(\dfrac{E_{0}}{C} \dfrac{(\hat{i}+\hat{j}+\hat{k})}{\sqrt{3}} \cos \left[10^{4} \dfrac{(\hat{i}+\hat{j})}{\sqrt{2}} \cdot \vec{r}+\left(3 \times 10^{12}\right) t\right]\)
JEE - 2018
PHXI15:WAVES

358939 I.
No material medium is involved in the vibrations of the electric and magnetic fields.
II.
Sound waves in air are longitudinal waves of compression and refraction.
III.
Transverse waves on the surface of water consist of water moving up and down as the wave spreads horizontally and radially onwards.
Which of the following statements are correct?

1 I and II
2 I and III
3 II and III
4 I, II and III
PHXI15:WAVES

358940 A plane electromagnetic wave in a non-magnetic dielectric medium is given by \({\vec{E}=\vec{E}_{0} \sin \left(4 \times 10^{-7} x-50 t\right)}\) with distance being in meter and time in seconds. The refractive index of medium is:

1 2.4
2 8.2
3 5.76
4 4.8
PHXI15:WAVES

358941 The speed of electromagnetic wave in a medium of dielectric constant 2.25 and relative permeability 4 is:

1 \({10^8}\;m{\rm{/}}s\)
2 \(2.5 \times {10^8}\;m{\rm{/}}s\)
3 \(2 \times {10^8}\;m{\rm{/}}s\)
4 \(3 \times {10^8}\;m{\rm{/}}s\)
For More Updates join with Us