Question

An FM radio station broadcasts at 9. 23 × 107 Hz. Given that the radio waves travel at 3. 00 × 108 m/s, what is the wavelength of these waves? 0. 308 m 2. 77 m 3. 25 m 6. 50 m.

Answer 1

The wavelength of these given radio waves is 0. 308 m. Option A is correct.

What is wavelength?

It is the distance between two consecutive crests or troughs. It can be calculated by the formula,

$\lambda = \dfrac f s$

Where,

$\lambda$ - wavelength

$f$- frequency = $\bold {9. 23 x 10^7\ Hz}$

$s$ - speed =  $\bold{3. 00 x 10^8 \ m/s}$

Put the values in the formula,

$\lambda = \dfrac {\bold {9. 23 x 10^7\ Hz}}{\bold{3. 00 x 10^8 \ m/s}}\\\\\bold {\lambda = 0.308 \rm \ m}$

Therefore, the wavelength of these given radio waves is 0. 308 m.

Learn more about wavelength?

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