Dual Nature Of Matter Question 4
Question 4 - 2024 (29 Jan Shift 2)
Two sources of light emit with a power of $200 \mathrm{~W}$. The ratio of number of photons of visible light emitted by each source having wavelengths $300 \mathrm{~nm}$ and $500 \mathrm{~nm}$ respectively, will be :
(1) $1: 5$
(2) $1: 3$
(3) $5: 3$
(4) $3: 5$
Show Answer
Answer: (4)
Solution:
$\mathrm{n}{1} \times \frac{\mathrm{hc}}{\lambda{1}}=200$
$\mathrm{n}{2} \times \frac{\mathrm{hc}}{\lambda{2}}=200$
$\frac{\mathrm{n}{1}}{\mathrm{n}{2}}=\frac{\lambda_{1}}{\lambda_{2}}=\frac{300}{500}$
$\frac{\mathrm{n}{1}}{\mathrm{n}{2}}=\frac{3}{5}$
