Answer
(a) $0.23Km$
(b) $2.39m$
Work Step by Step
(a) We know that
$\lambda_1-\lambda_2=\frac{c}{f_1}-\frac{c}{f_2}$
We plug in the known values to obtain:
$\lambda_1-\lambda_2=(3.00\times 10^8)(\frac{1}{50\times 10^3}-\frac{1}{52\times 10^3})$
$\lambda_1-\lambda_2=0.23Km$
(b) We know that
$\lambda_1-\lambda_2=\frac{c}{f_1}-\frac{c}{f_2}$
We plug in the known values to obtain:
$\lambda_1-\lambda_2=(3.00\times 10^8)(\frac{1}{500\times 10^3}-\frac{1}{502\times 10^3})$
$\lambda_1-\lambda_2=2.39m$