Question

If a source is transmitting electro-magnetic waves of frequency $8\times {10}^{6}Hz$, then the wavelength (in m) of the electro-magnetic waves transmitted from the source will be:

• A. 20.90 m
• B. 23.50 m
• C. 12.50 m
• D. 37.50 m

Answer 1

The correct option is D 37.50 m

Given: frequency of waves $=8\times {10}^{6}Hz=8\times {10}^6{s}^{-1}$
We know, $\lambda =\frac{c}{v}$
where,
$\lambda$ = wavelength of the radiation
c = speed of light
v = frequency of the wave
So,
$\lambda =\frac{3\times {10}^8}{8\times {10}^6}$

On solving, $\lambda =0.375\times {10}^{2}m=37.5m$
Therefore, wavelength of the EM wave will be 37.5 m