Electromagnetic Waves
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PHXI15:WAVES

358946 The electric field component of a monochromatic radiation is given by \(\vec{E}=2 E_{0} \hat{i} \cos k z \cos \omega t\). Its magnetic field \(\vec{B}\) is then given by :

1 \(\dfrac{2 E_{0}}{c} \hat{j} \sin k z \sin \omega t\)
2 \(\dfrac{2 E_{0}}{c} \hat{j} \cos k z \cos \omega t\)
3 \(\dfrac{2 E_{0}}{c} \hat{j} \sin k z \cos \omega t\)
4 \(-\dfrac{2 E_{0}}{c} \hat{j} \sin k z \sin \omega t\)
JEE - 2017
PHXI15:WAVES

358947 Suppose that the electric field amplitude of electromagnetic wave is \({E_0} = 120\,N{C^{ - 1}}\) and its frequency if \(f = 50MHz\). Then which of the following value is incorrectly computed?

1 Magnetic field amplitude is \(400\,nT\).
2 Angular frequency of \(EM\) wave is \(\pi \times {10^8}\,rad/s\)
3 Propagation constant (angular wave number) is \(2.1\,rad/m\)
4 Wavelength of \(EM\) wave is \(6\;m.\)
NEET
PHXI15:WAVES

358948 An \(EM\) wave from air enters a medium. The electric fields are \(\overrightarrow{E_{1}}=E_{01} \hat{x} \cos \left[2 \pi v\left(\dfrac{z}{c}-t\right)\right]\) in air and \(\vec{E}_{2}=E_{02} \hat{x} \cos [k(2 z-c t)]\) in medium, where the wave number \(k\) and frequency \(v\) refer to their values in air. The medium is nonmagnetic. If \(\varepsilon_{r 1}\) and \(\varepsilon_{r 2}\) refer to relative permittivity of air and medium respectively, which of the following options is correct?

1 \(\dfrac{\varepsilon_{r 1}}{\varepsilon_{r 2}}=2\)
2 \(\dfrac{\varepsilon_{r 1}}{\varepsilon_{r 2}}=\dfrac{1}{4}\)
3 \(\dfrac{\varepsilon_{r 1}}{\varepsilon_{r 2}}=\dfrac{1}{2}\)
4 \(\dfrac{\varepsilon_{r 1}}{\varepsilon_{r 2}}=4\)
PHXI15:WAVES

358949 Assertion :
The light can travel in vacuum but sound cannot do so.
Reason :
Light is an electromagnetic wave and sound is a mechanical wave.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI15:WAVES

358950 The electric and the magnetic field, associated with an electromagnetic wave, propagating along the \(+\mathrm{z}\) axis, can be represented by

1 \(\left[E=E_{0} \hat{i}, B=B_{0} \hat{j}\right]\)
2 \(\left[E=E_{0} \hat{j}, E=B_{0} \hat{k}\right]\)
3 \(\left[E=E_{0} \hat{k}, B=B_{0} \hat{i}\right]\)
4 \(\left[E=E_{0} \hat{j}, E=B_{0} \hat{j}\right]\)
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PHXI15:WAVES

358946 The electric field component of a monochromatic radiation is given by \(\vec{E}=2 E_{0} \hat{i} \cos k z \cos \omega t\). Its magnetic field \(\vec{B}\) is then given by :

1 \(\dfrac{2 E_{0}}{c} \hat{j} \sin k z \sin \omega t\)
2 \(\dfrac{2 E_{0}}{c} \hat{j} \cos k z \cos \omega t\)
3 \(\dfrac{2 E_{0}}{c} \hat{j} \sin k z \cos \omega t\)
4 \(-\dfrac{2 E_{0}}{c} \hat{j} \sin k z \sin \omega t\)
JEE - 2017
PHXI15:WAVES

358947 Suppose that the electric field amplitude of electromagnetic wave is \({E_0} = 120\,N{C^{ - 1}}\) and its frequency if \(f = 50MHz\). Then which of the following value is incorrectly computed?

1 Magnetic field amplitude is \(400\,nT\).
2 Angular frequency of \(EM\) wave is \(\pi \times {10^8}\,rad/s\)
3 Propagation constant (angular wave number) is \(2.1\,rad/m\)
4 Wavelength of \(EM\) wave is \(6\;m.\)
NEET
PHXI15:WAVES

358948 An \(EM\) wave from air enters a medium. The electric fields are \(\overrightarrow{E_{1}}=E_{01} \hat{x} \cos \left[2 \pi v\left(\dfrac{z}{c}-t\right)\right]\) in air and \(\vec{E}_{2}=E_{02} \hat{x} \cos [k(2 z-c t)]\) in medium, where the wave number \(k\) and frequency \(v\) refer to their values in air. The medium is nonmagnetic. If \(\varepsilon_{r 1}\) and \(\varepsilon_{r 2}\) refer to relative permittivity of air and medium respectively, which of the following options is correct?

1 \(\dfrac{\varepsilon_{r 1}}{\varepsilon_{r 2}}=2\)
2 \(\dfrac{\varepsilon_{r 1}}{\varepsilon_{r 2}}=\dfrac{1}{4}\)
3 \(\dfrac{\varepsilon_{r 1}}{\varepsilon_{r 2}}=\dfrac{1}{2}\)
4 \(\dfrac{\varepsilon_{r 1}}{\varepsilon_{r 2}}=4\)
PHXI15:WAVES

358949 Assertion :
The light can travel in vacuum but sound cannot do so.
Reason :
Light is an electromagnetic wave and sound is a mechanical wave.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI15:WAVES

358950 The electric and the magnetic field, associated with an electromagnetic wave, propagating along the \(+\mathrm{z}\) axis, can be represented by

1 \(\left[E=E_{0} \hat{i}, B=B_{0} \hat{j}\right]\)
2 \(\left[E=E_{0} \hat{j}, E=B_{0} \hat{k}\right]\)
3 \(\left[E=E_{0} \hat{k}, B=B_{0} \hat{i}\right]\)
4 \(\left[E=E_{0} \hat{j}, E=B_{0} \hat{j}\right]\)
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PHXI15:WAVES

358946 The electric field component of a monochromatic radiation is given by \(\vec{E}=2 E_{0} \hat{i} \cos k z \cos \omega t\). Its magnetic field \(\vec{B}\) is then given by :

1 \(\dfrac{2 E_{0}}{c} \hat{j} \sin k z \sin \omega t\)
2 \(\dfrac{2 E_{0}}{c} \hat{j} \cos k z \cos \omega t\)
3 \(\dfrac{2 E_{0}}{c} \hat{j} \sin k z \cos \omega t\)
4 \(-\dfrac{2 E_{0}}{c} \hat{j} \sin k z \sin \omega t\)
JEE - 2017
PHXI15:WAVES

358947 Suppose that the electric field amplitude of electromagnetic wave is \({E_0} = 120\,N{C^{ - 1}}\) and its frequency if \(f = 50MHz\). Then which of the following value is incorrectly computed?

1 Magnetic field amplitude is \(400\,nT\).
2 Angular frequency of \(EM\) wave is \(\pi \times {10^8}\,rad/s\)
3 Propagation constant (angular wave number) is \(2.1\,rad/m\)
4 Wavelength of \(EM\) wave is \(6\;m.\)
NEET
PHXI15:WAVES

358948 An \(EM\) wave from air enters a medium. The electric fields are \(\overrightarrow{E_{1}}=E_{01} \hat{x} \cos \left[2 \pi v\left(\dfrac{z}{c}-t\right)\right]\) in air and \(\vec{E}_{2}=E_{02} \hat{x} \cos [k(2 z-c t)]\) in medium, where the wave number \(k\) and frequency \(v\) refer to their values in air. The medium is nonmagnetic. If \(\varepsilon_{r 1}\) and \(\varepsilon_{r 2}\) refer to relative permittivity of air and medium respectively, which of the following options is correct?

1 \(\dfrac{\varepsilon_{r 1}}{\varepsilon_{r 2}}=2\)
2 \(\dfrac{\varepsilon_{r 1}}{\varepsilon_{r 2}}=\dfrac{1}{4}\)
3 \(\dfrac{\varepsilon_{r 1}}{\varepsilon_{r 2}}=\dfrac{1}{2}\)
4 \(\dfrac{\varepsilon_{r 1}}{\varepsilon_{r 2}}=4\)
PHXI15:WAVES

358949 Assertion :
The light can travel in vacuum but sound cannot do so.
Reason :
Light is an electromagnetic wave and sound is a mechanical wave.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI15:WAVES

358950 The electric and the magnetic field, associated with an electromagnetic wave, propagating along the \(+\mathrm{z}\) axis, can be represented by

1 \(\left[E=E_{0} \hat{i}, B=B_{0} \hat{j}\right]\)
2 \(\left[E=E_{0} \hat{j}, E=B_{0} \hat{k}\right]\)
3 \(\left[E=E_{0} \hat{k}, B=B_{0} \hat{i}\right]\)
4 \(\left[E=E_{0} \hat{j}, E=B_{0} \hat{j}\right]\)
NEET DIGITAL LIBRARY
PHXI15:WAVES

358946 The electric field component of a monochromatic radiation is given by \(\vec{E}=2 E_{0} \hat{i} \cos k z \cos \omega t\). Its magnetic field \(\vec{B}\) is then given by :

1 \(\dfrac{2 E_{0}}{c} \hat{j} \sin k z \sin \omega t\)
2 \(\dfrac{2 E_{0}}{c} \hat{j} \cos k z \cos \omega t\)
3 \(\dfrac{2 E_{0}}{c} \hat{j} \sin k z \cos \omega t\)
4 \(-\dfrac{2 E_{0}}{c} \hat{j} \sin k z \sin \omega t\)
JEE - 2017
PHXI15:WAVES

358947 Suppose that the electric field amplitude of electromagnetic wave is \({E_0} = 120\,N{C^{ - 1}}\) and its frequency if \(f = 50MHz\). Then which of the following value is incorrectly computed?

1 Magnetic field amplitude is \(400\,nT\).
2 Angular frequency of \(EM\) wave is \(\pi \times {10^8}\,rad/s\)
3 Propagation constant (angular wave number) is \(2.1\,rad/m\)
4 Wavelength of \(EM\) wave is \(6\;m.\)
NEET
PHXI15:WAVES

358948 An \(EM\) wave from air enters a medium. The electric fields are \(\overrightarrow{E_{1}}=E_{01} \hat{x} \cos \left[2 \pi v\left(\dfrac{z}{c}-t\right)\right]\) in air and \(\vec{E}_{2}=E_{02} \hat{x} \cos [k(2 z-c t)]\) in medium, where the wave number \(k\) and frequency \(v\) refer to their values in air. The medium is nonmagnetic. If \(\varepsilon_{r 1}\) and \(\varepsilon_{r 2}\) refer to relative permittivity of air and medium respectively, which of the following options is correct?

1 \(\dfrac{\varepsilon_{r 1}}{\varepsilon_{r 2}}=2\)
2 \(\dfrac{\varepsilon_{r 1}}{\varepsilon_{r 2}}=\dfrac{1}{4}\)
3 \(\dfrac{\varepsilon_{r 1}}{\varepsilon_{r 2}}=\dfrac{1}{2}\)
4 \(\dfrac{\varepsilon_{r 1}}{\varepsilon_{r 2}}=4\)
PHXI15:WAVES

358949 Assertion :
The light can travel in vacuum but sound cannot do so.
Reason :
Light is an electromagnetic wave and sound is a mechanical wave.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI15:WAVES

358950 The electric and the magnetic field, associated with an electromagnetic wave, propagating along the \(+\mathrm{z}\) axis, can be represented by

1 \(\left[E=E_{0} \hat{i}, B=B_{0} \hat{j}\right]\)
2 \(\left[E=E_{0} \hat{j}, E=B_{0} \hat{k}\right]\)
3 \(\left[E=E_{0} \hat{k}, B=B_{0} \hat{i}\right]\)
4 \(\left[E=E_{0} \hat{j}, E=B_{0} \hat{j}\right]\)
Join With Us for More Updates
PHXI15:WAVES

358946 The electric field component of a monochromatic radiation is given by \(\vec{E}=2 E_{0} \hat{i} \cos k z \cos \omega t\). Its magnetic field \(\vec{B}\) is then given by :

1 \(\dfrac{2 E_{0}}{c} \hat{j} \sin k z \sin \omega t\)
2 \(\dfrac{2 E_{0}}{c} \hat{j} \cos k z \cos \omega t\)
3 \(\dfrac{2 E_{0}}{c} \hat{j} \sin k z \cos \omega t\)
4 \(-\dfrac{2 E_{0}}{c} \hat{j} \sin k z \sin \omega t\)
JEE - 2017
PHXI15:WAVES

358947 Suppose that the electric field amplitude of electromagnetic wave is \({E_0} = 120\,N{C^{ - 1}}\) and its frequency if \(f = 50MHz\). Then which of the following value is incorrectly computed?

1 Magnetic field amplitude is \(400\,nT\).
2 Angular frequency of \(EM\) wave is \(\pi \times {10^8}\,rad/s\)
3 Propagation constant (angular wave number) is \(2.1\,rad/m\)
4 Wavelength of \(EM\) wave is \(6\;m.\)
NEET
PHXI15:WAVES

358948 An \(EM\) wave from air enters a medium. The electric fields are \(\overrightarrow{E_{1}}=E_{01} \hat{x} \cos \left[2 \pi v\left(\dfrac{z}{c}-t\right)\right]\) in air and \(\vec{E}_{2}=E_{02} \hat{x} \cos [k(2 z-c t)]\) in medium, where the wave number \(k\) and frequency \(v\) refer to their values in air. The medium is nonmagnetic. If \(\varepsilon_{r 1}\) and \(\varepsilon_{r 2}\) refer to relative permittivity of air and medium respectively, which of the following options is correct?

1 \(\dfrac{\varepsilon_{r 1}}{\varepsilon_{r 2}}=2\)
2 \(\dfrac{\varepsilon_{r 1}}{\varepsilon_{r 2}}=\dfrac{1}{4}\)
3 \(\dfrac{\varepsilon_{r 1}}{\varepsilon_{r 2}}=\dfrac{1}{2}\)
4 \(\dfrac{\varepsilon_{r 1}}{\varepsilon_{r 2}}=4\)
PHXI15:WAVES

358949 Assertion :
The light can travel in vacuum but sound cannot do so.
Reason :
Light is an electromagnetic wave and sound is a mechanical wave.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI15:WAVES

358950 The electric and the magnetic field, associated with an electromagnetic wave, propagating along the \(+\mathrm{z}\) axis, can be represented by

1 \(\left[E=E_{0} \hat{i}, B=B_{0} \hat{j}\right]\)
2 \(\left[E=E_{0} \hat{j}, E=B_{0} \hat{k}\right]\)
3 \(\left[E=E_{0} \hat{k}, B=B_{0} \hat{i}\right]\)
4 \(\left[E=E_{0} \hat{j}, E=B_{0} \hat{j}\right]\)