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

Respuesta :

Answer:

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

Explanation:

Given that,

Frequency [tex]f_{1}=7.00\times10^{19}\ Hz[/tex]

We need to calculate the wavelength

Using formula of wavelength

[tex]\lambda=\dfrac{v}{f}[/tex]

Where, v = velocity

f = frequency

Put the value into the formula

[tex]\lambda=\dfrac{3\times10^{8}}{7.00\times10^{19}}[/tex]

[tex]\lambda=4.28\times10^{-12}\ m[/tex]

[tex]\lambda=4.28\ pm[/tex]

(II). For, frequency [tex]f_{2}=1.50\times10^{9}\ Hz[/tex]

Using formula of wavelength

[tex]\lambda=\dfrac{v}{f}[/tex]

Put the value into the formula

[tex]\lambda=\dfrac{3\times10^{8}}{1.50\times10^{9}}[/tex]

[tex]\lambda=0.2\ m[/tex]

[tex]\lambda=20\ cm[/tex]

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