A plane electromagnetic wave is incident on a plane surface of area...

A plane electromagnetic wave is incident on a plane surface of area A, normally and is perfectly reflected. If energy E strikes the surface in timet then average pressure exerted on the surface is

(\mathrm{c}=

speed of light

)

Options

Azero
B $\mathrm{E} / \mathrm{Atc}$
C $2 \mathrm{E} / \mathrm{Atc}$
D $\mathrm{E} / \mathrm{c}$

Correct answer

C. $2 \mathrm{E} / \mathrm{Atc}$

Step-by-step solution

Incident momentum,

\mathrm{p}=\frac{\mathrm{E}}{\mathrm{c}}

For perfectly reflecting surface with normal incidence

\Delta \mathrm{p}=2 \mathrm{p}=\frac{2 \mathrm{E}}{\mathrm{c}}\mathrm{F}=\frac{\Delta \mathrm{p}}{\Delta \mathrm{t}}=\frac{2 \mathrm{E}}{\mathrm{ct}}\mathrm{P}=\frac{\mathrm{F}}{\mathrm{A}}=\frac{2 \mathrm{E}}{\mathrm{ctA}}

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