Dual Nature Of Radiation And Matter Ques 41

41. Monochromatic light of wavelength $667 $ $nm$ is produced by a helium neon laser. The power emitted is $9$ $ mW$. The number of photons arriving per sec on the average at a target irradiated by this beam is:

[2009]

(a) $3 \times 10^{16}$

(b) $9 \times 10^{15}$

(c) $3 \times 10^{19}$

(d) $9 \times 10^{17}$

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Answer:

Correct Answer: 41.(a)

Solution:

  1. (a) $\lambda=667 \times 10^{-9} m, P=9 \times 10^{-3} W$

$P=\frac{Nhc}{\lambda}, N=$ No. of photons emitted $/ sec$.

$N=\frac{9 \times 10^{-3} \times 667 \times 10^{-9}}{6.6 \times 10^{-34} \times 3 \times 10^{8}}$

$=\frac{9 \times 6.67 \times 10^{-10}}{3 \times 6.6 \times 10^{-26}} \simeq 3 \times 10^{16} / sec$