Two sources of light emit X-rays of wavelength 1 nm and visible...

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

Options

A $\dfrac{1}{500}$
B $250$
C $\dfrac{1}{250}$
D $500$

Correct answer

A. $\dfrac{1}{500}$

Step-by-step solution

${P}_{s} -$ Power of source

${P}_{s} = n\dfrac{hc}{\lambda}; n$ = no. of photons emitted/s

$⇒ n ∝ \lambda ⇒ \dfrac{{n}_{2}}{{n}_{1}} = 1 / 500$

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