First slide

Electromagnetic radiation - Dual nature of radiation and matter

Question

Two sources of light emit X – rays of wavelength 1nm and visible light of wavelength 500nm, respectively. Both the sources emit light of the same power 200W. The ratio of the number density of photons of X – rays to the number density of photons of the visible light of the given wavelength is :

Moderate

A

$\frac{1}{250}$
B

$250$
C

$\frac{1}{500}$
D

$500$

Solution

$\begin{array}{l} P o w e r = P = (\frac{n}{t}) \frac{hc}{λ} \\ \Rightarrow (\frac{n}{t}) = \frac{P λ}{hc} \\ ∴ \frac{n_{1}}{n_{2}} = \frac{λ_{1}}{λ_{2}} \\ \Rightarrow \frac{n_{1}}{n_{2}} = \frac{1}{500} \end{array}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App