Answer
3.22 m
Work Step by Step
Radio wave is an electromagnetic spectrum wave with a wave speed (velocity) of 3 $\times$ $10^{8}$ m/s. The given frequency is 93.1 $\times$ $10^{6}$s$^{-1}$. As we have the velocity and frequency, we can use V = F x C (Velocity = Frequency x Wavelength).
V= 3 $\times$ $10^{8}$ m/s
F= 93.1 $\times$ $10^{6}$s$^{-1}$
C = ?
V = F x C
3 $\times$ $10^{8}$ m/s = (93.1 $\times$ $10^{6}$s$^{-1}$) x ?
To get ? by itself, we must divide both sides by (93.1 $\times$ $10^{6}$s$^{-1}$):
$\frac{ 3 \times10^{8}m/s}{(93.1 \times 10^{6}s)}$ = ?
Now, simply solve for the ?:
$\frac{ 3 \times10^{8}m/s}{(93.1 \times 10^{6}s)}$ = ? --> Cancel out $10^{6}$ from $10^{8}$ in numerator.
$\frac{ 3 \times10^{2}}{93.1 s}$ = $\frac{300 m/s}{93.1 s}$ $\approx$ 3.22 m
