Question

complete each statement for an electromagnetic wave in space: a. if the wavelength increases, frequency (decreases / increases / stays the same). b. if frequency increases, wavelength (decreases / increases / stays the same). c. if wavelength increases, speed (decreases / increases / stays the same). d. if wavelength decreases, speed (decreases / increases / stays the same).

Explanation:

The relationship between the speed ($v$), frequency ($f$), and wavelength ($\lambda$) of an electromagnetic wave in space is given by $v = f\lambda$. The speed of electromagnetic waves in space is the speed of light $c$, which is a constant ($c = 3\times10^{8}\ m/s$).
a. Since $c = f\lambda$ and $c$ is constant, if $\lambda$ increases, $f$ must decrease to keep the product constant.
b. Similarly, if $f$ increases, $\lambda$ must decrease.
c and d. The speed of an electromagnetic wave in space is a constant value (the speed of light in vacuum), regardless of changes in wavelength or frequency.

Answer:

a. decreases
b. decreases
c. stays the same
d. stays the same