Question

a photon of radiation of wavelengh 600 nm has an energy E the wavelength of photon of radiation having energy 0.25 E is?

Answer 1

Hello Friend,

Here's the solution.

Hope it helps.

Purva
@Purvaparmar1405
Brainly.in

Answer 2

Answer: The wavelength of the radiation having 0.25 E is 2400 nm.

Explanation:

The relation between energy and wavelength of light is given by Planck's equation, which is:

$E=\frac{hc}{\lambda}$

where,

E = energy of the light

h = Planck's constant

c = speed of light

$\lambda$ = wavelength of light

When $\lambda=600nm$, then the equation becomes:

$E=\frac{hc}{600}$       ......(1)

When E = 0.25 E, the wavelength is taken as $\lambda '$, the equation becomes:

$0.25E=\frac{hc}{\lambda '$     .......(2)

Taking ratio of 1 and 2, we get:

$\frac{E}{0.25E}=(\frac{\frac{hc}{600}}{\frac{hc}{\lambda'}})\\\\\\\frac{E}{0.25E}=\frac{\lambda'}{600}\\\\\lambda=2400nm$

Hence, the wavelength of the radiation having 0.25 E is 2400 nm.