Question

An FM station broadcasts music at 93.5 MHz (megahertz, or 10⁶ Hz). Find the wavelength (in m, nm, and Å) of these waves.

Answer 1

Answer:

The wavelength in m = 3.208 m

The wavelength in nm =$3.208\times 10^9 nm$

The wavelength in Å = $3.208\times 10^{10} \AA$

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 = $3.0\times 10^8m/s$

$\nu$ = frequency of wave

We have :

Frequency of the wave = $\nu =93.5MHz=93.5\times 10^6 Hz$

$1 Hz = 1s^{-1}$

Wavelength of the wave = $\lambda$

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

$\lambda=\frac{3\times 10^8 m/s}{93.5\times 10^6 s^{-1}}=3.208 m$

$1 m = 10^9 nm$

$3.208 m= 3.208\times 10^9 nm$

$1 m = 10^{10} \AA$

$3.2086 m= 3.208\times 10^{10} \AA$

The wavelength in m = 3.208 m

The wavelength in nm =$3.208\times 10^9 nm$

The wavelength in Å = $3.208\times 10^{10} \AA$