Question

Communications in mineshafts and at low ocean depths require extremely low frequencies to penetrate solid rock or dense seawater. If a radio transmitter operates at 76.0 Hz, what is the wavelength of this radiation in meters? Select one:

1. 3.9 x 106 m
2. 5.0 x 10-32 m
3. 2.3 x 10-6 m
4. 2.3 x 1011 m

Answer 1

Answer: The wavelength of the radiation is $3.9\times 10^{6}m$

Explanation:

To calculate the wavelength of light, we use the equation:

$\lambda=\frac{c}{\nu}$

where,

$\lambda$ = wavelength of the radiation

c = speed of light = $3\times 10^8m/s$

$\nu$ = frequency of radiation = $76Hz=76s^{-1}$

Putting values in above equation, we get:

$\lambda=\frac{3\times 10^8m/s}{76s^{-1}}=3.9\times 10^{6}m$

Hence, the wavelength of the radiation is $3.9\times 10^{6}m$