Question 185: Dual Nature of Matter and Radiation

Question

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 :

Accepted Answer

Given, wavelength of x ray ($$\lambda $$
1
) = 1 nm
And wavelength of visible light ($$\lambda $$
2
) = 500 nm
we know, Power$$(P) = {{nhc} \over \lambda }$$
As P = constant and h, c also constant
So, $${n \over \lambda } = constant$$
$$ \Rightarrow $$ $${{{n_1}} \over {{n_2}}} = {{{\lambda _1}} \over {{\lambda _2}}} = {{1nm} \over {500nm}} = {1 \over {500}}$$

Answer

$${1 \over {500}}$$

Answer

500

Answer

250

Answer

$${1 \over {250}}$$

Dual Nature of Matter and Radiation

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 :

Choose the correct answer: