Question

Calculate the frequencies corresponding to the wavelengths 500.00 nm and 500.10 nm. Use these to check the accuracy of equation

Answer 1

Explanation:

It is given that,

Wavelength, $\lambda_1=500\ nm=5\times 10^{-7}\ m$

Wavelength, $\lambda_2=500.10\ nm=5.001\times 10^{-7}\ m$

We need to find the frequencies from corresponding wavelengths. The frequency of the light is given by :

$f=\dfrac{c}{\lambda}$  

c is the speed of light

Frequency 1,

$f_1=\dfrac{c}{\lambda_1}$  

$f_1=\dfrac{3\times 10^8\ m/s}{5\times 10^{-7}\ m}$  

$f_1=6\times 10^{14}\ Hz$

Frequency 2,

$f_2=\dfrac{c}{\lambda_2}$  

$f_1=\dfrac{3\times 10^8\ m/s}{5.001\times 10^{-7}\ m}$  

$f_1=5.99\times 10^{14}\ Hz$

Hence, this is the required solution.