Q.

The energy contained in a small volume through which an electromagnetic wave is passing oscillates with

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a

double the frequency of the wave

b

Zero frequency

c

The frequency of the wave

d

Half the frequency of the wave

answer is A.

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Detailed Solution

Energy contained per unit volume through which electromagnetic wave is propagating is sum of energy of electric field and energy of magnetic field. U=UE+UB=12∈o E2+12B2μ0Where E and B are Sinusoidal functionE=E0sinω(t−XC) &  B=Bosinω(t−XC)⇒UE=12∈0E2=12E 02sin2ω(t−XC)  ⇒UE=12×E021−cos2ω(t−XC)2Hence the frequency of UE is double than that of electromagnetic wave. Similarly the frequency of UB is double than that of electromagnetic wave.
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