Question

Find the wavelength of electromagnetic waves of frequency 5?10^19 Hz in free space. Identify the electromagnetic wave give its one use

Answer 1

The equation that relates wavelength, frequency, and speed of light is

c

=

λ

⋅

ν

c

=

3.00

×

10

8

 

m/s

(the speed of light in a vacuum)

λ

= wavelength in meters

ν

= frequency in Hertz (Hz) or  

1

s

or  

s

−

1

.

So basically the wavelength times the frequency of an electromagnetic wave equals the speed of light.

FYI,  

λ

is the Greek letter lambda , and  

ν

is the Greek letter nu (it is not the same as a v).

To find wavelength (

λ

), the equation is manipulated so that  

λ

=

c

ν

.

Answer 2

Given that,

Frequency of electromagnetic wave, $f=5\times 10^{19}\ Hz$

To find,

The wavelength of electromagnetic wave

Solution,

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

$\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^8}{5\times 10^{19}}\\\\\lambda=6\times 10^{-12}\ m$

So, the wavelength of electromagnetic wave is $6\times 10^{-12}\ m$. The wavelengths of Gamma rays range from 0.01 × 10⁻¹² meters to 10 × 10⁻¹² meters . So, the given wave is Gamma rays.

Learn more,

Electromagnetic wave

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