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NEET UG PHYSICS MCQ: ELECTROMAGNETIC WAVES

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Application +4 | -1
Electric field in a plane electromagnetic wave is given by E=50sin⁡ (500x−10×1010t) v/m.E = 50\sin \,(500x - 10 \times {10^{10}}t)\,v/m. The velocity of electromagnetic wave in this medium is
(Given, cc = speed of light in vacuum)
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Correct option: C
23 c\frac{2}{3}\,\mathrm{c}
Option C (23 c\frac{2}{3}\,\mathrm{c}) is correct because the velocity of an electromagnetic wave is given by ωk\frac{\omega}{k}, where ω\omega is the angular frequency and kk is the wave number.

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What is order of energy of X-rays (EX{E_X}), radio waves (ER{E_R}) and microwave (EM{E_M})? The amplitude of the sinusoidally oscillating electric field of plane wave is 60  Vm60\,\,\frac{V}{m}. Then the amplitude of the magnetic field is An EM wave from air enters a medium. The electric fields are E1=E01x^cos⁡[2πv(zc−t)]{E_1} = {E_{01}}\hat x\cos \left[ {2\pi v\left( {\frac{z}{c} - t} \right)} \right] in air and E2=E02x^cos⁡[k(2z−ct)]{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 εr1{\varepsilon _{{r_1}}} and εr2{\varepsilon _{{r_2}}} refer to relative permittivities of air and medium respectively, which of the following options is correct?
If an electromagnetic wave is propagation in a medium with permeability ε\mathrm{\varepsilon } and permittivity μ\mathrm{\mu }, then με\sqrt {\frac{\mathrm{\mu }}{\mathrm{\varepsilon }}} is the In an E.M. wave the average energy density is associated with:- A plane electromagnetic wave of frequency 500 MHz is travelling in vacuum along y−y -direction. At a particular point in space and time, B→=8.0×10−8z^T\overrightarrow B = 8.0 \times {10^{ - 8}}\widehat zT. The value of electric field at this point is:
(speed of light =3×108ms−1= 3 \times {10^8}m{s^{ - 1}}). x^, y^, z^\widehat x,\widehat {\,y},\widehat {\,z} are unit vectors along x, yx,\,y and zz directions.
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