The change in the wavelength of light due to the relative motion of the source and observer is given by the equation:
Δλ/λ = v/c
where Δλ is the change in wavelength, λ is the original wavelength, v is the relative velocity between the source and observer, and c is the speed of light.
Plugging in the values given in the problem, we get:
Δλ/6.2 × 10−7 m = 3.9 × 104 km/s / 3.0 × 105 km/s
Simplifying this expression, we get:
Δλ = 1.02 × 10^-7 m
Therefore, the change in the wavelength of light that is received by an observer on the Earth is 1.02 × 10^-7 m.