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

Answer:

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

Explanation:

Given that,

Frequency $f_{1}=7.00\times10^{19}\ Hz$

We need to calculate the wavelength

Using formula of wavelength

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

Where, v = velocity

f = frequency

Put the value into the formula

$\lambda=\dfrac{3\times10^{8}}{7.00\times10^{19}}$

$\lambda=4.28\times10^{-12}\ m$

$\lambda=4.28\ pm$

(II). For, frequency $f_{2}=1.50\times10^{9}\ Hz$

Using formula of wavelength

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

Put the value into the formula

$\lambda=\dfrac{3\times10^{8}}{1.50\times10^{9}}$

$\lambda=0.2\ m$

$\lambda=20\ cm$

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