Answer
(a) $8.238\times 10^{14}Hz$
(b) $8.230\times 10^{14}Hz$
Work Step by Step
(a) We know that
$f^{\prime}=f(1+u/c)$
We plug in the known values to obtain:
$f^{\prime}=8.230\times 10^{14}(1-\frac{3.600\times 10^5-6.4\times 10^5}{3.00\times 10^8})$
$f^{\prime}=8.238\times 10^{14}Hz$
(b) $f^{\prime}=f(1+u/c)$
We plug in the known values to obtain:
$f^{\prime}=8.230\times 10^{14}(1-\frac{3.600\times 10^5+6.400\times 10^5}{3.00\times 10^8})$
$f^{\prime}=8.230\times 10^{14}Hz$