Question

An fm radio station broadcasts electromagnetic radiation at a frequency of 100.6 mhz. the wavelength of this radiation is ________ m.

Answer 1

Answer: The wavelength of radiation is 2.98 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 = $2.998\times 10^8m/s$

$\nu$ = frequency of radiation = $100.6MHz=100.6\times 10^6Hz=100.6\times 10^6s^{-1}$    (Conversion factor:  $1MHz=10^6Hz$ )

Putting values in above equation, we get:

$\lambda=\frac{2.998\times 10^8m/s}{100.6\times 10^6s^{-1}}=2.98m$

Hence, the wavelength of radiation is 2.98 m

Answer 2

The wavelength would be 2.980044314115. Reduced it would be 2.980 or just 2.98.