Question

What are the wavelengths of electromagnetic wave in free space that have the following frequencies? (a) 7.00 x 10^19 Hz______ pm (b) 1.50 x 10^9 Hz__________ cm

Answer 1

The wavelength of electromagnetic wave in free space are 4.28 pm and 20 cm.

Step-by-step explanation:

Given that,

Frequency
`f_(1)=7.00*10^(19)\ Hz`

We need to calculate the wavelength

Using formula of wavelength

`\lambda=(v)/(f)`

Where, v = velocity

f = frequency

Put the value into the formula

`\lambda=(3*10^(8))/(7.00*10^(19))`

`\lambda=4.28*10^(-12)\ m`

`\lambda=4.28\ pm`

(II). For, frequency
`f_(2)=1.50*10^(9)\ Hz`

Using formula of wavelength

`\lambda=(v)/(f)`

Put the value into the formula

`\lambda=(3*10^(8))/(1.50*10^(9))`

`\lambda=0.2\ m`

`\lambda=20\ cm`

Hence, The wavelength of electromagnetic wave in free space are 4.28 pm and 20 cm.