Dual Nature Of Matter Question 2

Question 2 - 2024 (01 Feb Shift 2)

Monochromatic light of frequency $6 \times 10^{14} \mathrm{~Hz}$ is produced by a laser. The power emitted is $2 \times 10^{-3} \mathrm{~W}$.

How many photons per second on an average, are emitted by the source?

(Given $\mathrm{h}=6.63 \times 10^{-34} \mathrm{Js}$ )

(1) $9 \times 10^{18}$

(2) $6 \times 10^{15}$

(3) $5 \times 10^{15}$

(4) $7 \times 10^{16}$

Show Answer

Answer: (3)

Solution:

$\mathrm{P}=\mathrm{nh} \nu$

$\mathrm{n}=\frac{\mathrm{P}}{\mathrm{hv}}=\frac{2 \times 10^{-3}}{6.63 \times 10^{-34} \times 6 \times 10^{14}}$

$=5 \times 10^{15}$