Question

the frequency of wave is 6x10'15 what is its wave number?

Answer 1

First to find wavelength by using the formula velocity/speed of light then find wave number it's there in the image

Answer 2

Answer: The wave number will be $0.02nm^{-1}$

Explanation:

To calculate the wave number, we first need to find out the wavelength of the wave. This is calculated by using the equation:

$\nu=\frac{c}{\lambda}$

where,

$\nu$ = frequency of the wave = $6\times 10^{15}s^{-1}$

c = speed of light = $3\times 10^8m/s$

$\lambda$ = wavelength of the wave = ?

Putting values in above equation, we get:

$6\times 10^{15}s^{-1}=\frac{3\times 10^8m/s}{\lambda}\\\\\lambda=0.5\times 10^{-7}m=50\times 10^{-9}m=50nm$

Conversion factor used above is $1nm=1\times 10^{-9}m$

To calculate the wave number, we use the equation:

$\bar\nu=\frac{1}{\lambda}$

where,

$\bar\nu$ = wave number

Putting the value of wave length in above equation, we get:

$\bar\nu=\frac{1}{50nm}\\\\\bar\nu=0.02nm^{-1}$

Hence, the wave number will be $0.02nm^{-1}$