The electric field of a plane electromagnetic wave is given by $E\, = \,{E_0}\left( {{\rm{\hat x}} + {\rm{\hat y}}} \right)\,\sin \,\left( {kz - \omega t} \right)$ its magnetic field will be given by

$\frac{{{E_0}}}{c}\left( {\hat x\, - \,\hat y} \right)\,\cos \,\left( {kz - \omega t} \right)$

NEET UG PHYSICS MCQ: ELECTROMAGNETIC WAVES

1 Hard

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Application +4 | -1

The electric field of a plane electromagnetic wave is given by

E\, = \,{E_0}\left( {\mathrm{\hat x} + \mathrm{\hat y}} \right)\,\sin \,\left( {kz - \omega t} \right)

its magnetic field will be given by

View answer and explanation

Correct option: B

\frac{{{E_0}}}{c}\left( { - \hat x + \hat y} \right)\,\sin \,\left( {kz - \omega t} \right)

Option B (

\frac{{{E_0}}}{c}\left( { - \hat x + \hat y} \right)\,\sin \,\left( {kz - \omega t} \right)

) is correct because the magnetic field must be perpendicular to both the electric field and the direction of propagation, and their cross product must point in the direction of propagation.

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What is order of energy of X-rays (

{E_X}

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{E_M}

)? The amplitude of the sinusoidally oscillating electric field of plane wave is

60\,\,\frac{V}{m}

. Then the amplitude of the magnetic field is An EM wave from air enters a medium. The electric fields are

{E_1} = {E_{01}}\hat x\cos \left[ {2\pi v\left( {\frac{z}{c} - t} \right)} \right]

in air and

{E_2} = {E_{02}}\hat x\cos \left[ {k\left( {2z - ct} \right)} \right]

in medium, where the wave number k and frequency ν refer to their values in air. The medium is non-magnetic.
If

{\varepsilon _{{r_1}}}

and

{\varepsilon _{{r_2}}}

refer to relative permittivities of air and medium respectively, which of the following options is correct? Electric field in a plane electromagnetic wave is given by

E = 50\sin \,(500x - 10 \times {10^{10}}t)\,v/m.

The velocity of electromagnetic wave in this medium is
(Given,

c

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\mathrm{\varepsilon }

and permittivity

\mathrm{\mu }

, then

\sqrt {\frac{\mathrm{\mu }}{\mathrm{\varepsilon }}}

is the In an E.M. wave the average energy density is associated with:-