Question

The wave number of two electromagnetic radiations are 2 x 10^4cm-1 and 10^5cm-1. Then the ratio of
their energies is

a) 5:1
b) 2:1
c) 1:5
d) 1:2
can u please give the explanation for this question. ​

Answer 1

Answer:

The ratio of the energies is 1:5, The correct option is Option(C)

Explanation:

The number of wavelengths per unit distance, also known as the propagation number or angular wavenumber, is defined as the wavenumber. It is the reciprocal of wavelength.

In spectroscopy, wavenumber v refers to a frequency that has been separated by the speed of light in a vacuum. In the fields of spectroscopy and chemistry, the formula for wave number is as follows:

ν = 1 / λ

By using Planck’s relation spectroscopic wavenumber can be converted into energy per photon as follows:

E = hcν

Where E is the energy per photo, h is the Planck’s constant, c is the speed of the light and ν is the wave number.

$\frac{E_{1} }{E_{2} }$ = $\frac{2 X 10^{4} }{10^{5} }$

$\frac{E_{1} }{E_{2} }$ = $\frac{1}{5}$

$E_{1} : E_{2}$ = 1:5

The ratio of the energies will be 1:5

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