First slide

Intensity of electromagnetic wave

Question

Monochromatic light of wavelength 3000 $\overset{o}{A}$ is incident on a surface are 4 $c m^{2}$ . If intensity of light is $150 m w / m^{2}$ , then rate at which protons strike the target is

Moderate

A

$3 \times 10^{10} / \sec$
B

$9 \times 10^{13} / \sec$
C

$7 \times 10^{15} / \sec$
D

$6 \times 10^{14} / \sec$

Solution

$\begin{array}{l} I = \frac{n h ν}{A} = \frac{n h c}{A λ} \\ n = \frac{I A λ}{h c} \\ = \frac{150 \times 10^{- 3} \times 4 \times 10^{- 4} \times 3 \times 10^{- 7}}{6.6 \times 10^{- 34} \times 3 \times 10^{8}} \\ = 9 \times 10^{13} / \sec \end{array}$

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