Question

The ratio of the energy of a photon of 200 nm wavelength radiation to that of 400 nm radiation is

Answer 1

Answer:

Energy = h ×c /wavelength

this means energy is inversely proportional to wavelength

so ration will be

2:1

Answer 2

Given :

Wavelength of radiation 1 (λ₁) = 200 nm

Wavelength of radiation 2 (λ₂) = 400 nm

To Find :

The ratio of the energy of a photons

Solution :

We know, Energy is inversely related to wavelength.

∴ Energy $\alpha$ $\frac{1}{Wavelength}$

Ratio of energy of photon having wavelength 200 nm (E₁) to the energy of  photon having wavelength 400 nm (E₂) can be given as -  

$\frac{E_1}{E_2}$ = $\frac{(Wavelength) _2}{(Wavelength) _1}$  =  $\frac{400}{200}$  = $\frac{2}{1}$

Therefore, the ratio of the energy of a photon of 200 nm wavelength radiation to that of 400 nm radiation is 2 : 1