Question

What are the wavelengths of electromagnetic wave in free space that have the following frequencies?

(a) 4.00 1019 Hz
(b) 5.50 109 Hz

Answer 1

Step-by-step explanation:

Given that,

(a) Frequency,
`f_1=4* 10^(19)\ Hz`

All electromagnetic wave moves with the speed of light. It is given by :

`c=f\lambda`

`\lambda_1=(c)/(f_1)\\\\\lambda_1=(3* 10^8)/(4* 10^(19))\\\\\lambda_1=7.5* 10^(-12)`

(b) Frequency,
`f_2=5.5* 10^(1=9)\ Hz`

All electromagnetic wave moves with the speed of light. It is given by :

`c=f\lambda`

`\lambda_2=(c)/(f_2)\\\\\lambda_2=(3* 10^8)/(5.5* 10^(9))\\\\\lambda_2=0.054\ m`

Hence, this is the required solution.