Question

What is wave number of beam in air if its frequency is 6.667 ×10 raise to 14 Hz

Answer 1

2.22223* 10 raise to the power 6...........

Answer 2

Answer:

The wave number of beam  is $2.2\times10^{6}\ m^{-1}$.

Explanation:

Given that,

Frequency f = 6.667\times10^{14}\ Hz

The wave number is the inverse of the wave length.

Formula of wave length is defined as,

$\lambda = \dfrac{c}{f}$

Where, c = speed of the light

f = frequency

Put the value into the formula

$\lambda=\dfrac{3\times10^{8}}{6.667\times10^{14}}$

$\lambda=4.5\times10^{-7}\ m$

The wave number is

$W= \dfrac{1}{\lambda}$

$W =\dfrac{1}{4.5\times10^{-7}}$

$W=2.2\times10^{6}\ m^{-1}$

Hence, The wave number of beam  is $2.2\times10^{6}\ m^{-1}$.