Question

What is the wavelength of radiation that has a frequency of 7.2×10^11 s−1 ?

Answer 1

Explanation:

It is known that relation between wavelength and frequency is as follows.

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

where,        $\lambda$ = wavelength

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

                  [/tex]\nu[/tex] = frequency

It is given that frequency is $7.2 \times 10^{11} s^{-1}$. Hence, putting this value into the above formula and calculate the wavelength as follows.

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

                    $\lambda = \frac{3 \times 10^{8} m/s}{7.2 \times 10^{11} s^{-1}}$

                             = $0.416 \times 10^{-3} m$

or,                         = $4.16 \times 10^{-4} m$

Thus, we can conclude that wavelength of given radiation is $4.16 \times 10^{-4} m$.