Question

A photon of radiation of wavelength 600nm has an energy E.the wavelenfht of photon of radiation having energy .5E is

Answer 1

Answer:- 1200 nm.

Solution:- Energy is inversely proportional to the wavelength and the equation   to calculate energy for given wavelength is:

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

If we make two equations and compare them, then:

$\frac{E_1}{E_2}=\frac{\lambda _2}{\lambda _1}$

Let's plug in the given values in it:

$\frac{E}{0.5E}=\frac{\lambda _2}{600nm}$

$2=\frac{\lambda _2}{600nm}$

$\lambda _2=2(600nm)$

$\lambda _2=1200nm$

So, the wavelength of photon of radiation having energy 0.5E is 1200 nm.

Answer 2

Given:

Wavelength = 600 nm

Energy = E

To find:

The wavelength of photon of radiation having energy 0.5E.

Solution:

According to the law,

E ∝ λ

Where,

E is the energy

λ is the wavelength

E = hc / λ

Hence,

Comparing and equating the energies,

E / 0.5E = λ (0.5E) / λ(E)

E / 0.5E = λ (0.5E) / 600

2 = λ (0.5E) / 600

λ (0.5E) = 1200 nm

Therefore, the wavelength of photon of radiation having energy 0.5E is 1200 nm.