First slide

Intensity of electromagnetic wave

Question

A radiation of energy E falls normally on a perfectly reflecting surface. The momentum transferred to the surface is

Moderate

A

E/C
B

2 E/C
C

E C
D

E / C²

Solution

The initial momentum of surface, $p_{i} = E / c$
where c = velocity of light
The same momentum is reflected because the surface is
perfectly reflecting. The final momentum is given by
$p_{f} = - E / c$
Change in momentum
$Δp = p_{f} - p_{i} = - \frac{E}{C} - \frac{E}{C} = - \frac{2 E}{C}$
Thus, momentum transferred to the surface is 2 E / C

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