Dual Nature Of Matter Question 4

Question 4 - 2024 (29 Jan Shift 2)

Two sources of light emit with a power of $200 W$. The ratio of number of photons of visible light emitted by each source having wavelengths $300 nm$ and $500 nm$ respectively, will be :

(1) $1: 5$

(2) $1: 3$

(3) $5: 3$

(4) $3: 5$

Show Answer

Answer: (4)

Solution:

$n _1 \times \frac{hc}{\lambda _1}=200$

$n _2 \times \frac{hc}{\lambda _2}=200$

$\frac{n _1}{n _2}=\frac{\lambda _1}{\lambda _2}=\frac{300}{500}$

$\frac{n _1}{n _2}=\frac{3}{5}$