A galaxy is receding relative to us at a speed of 3000 km/sec. It emit...
The wavelength of light is affected by the Doppler effect when the source of light is moving relative to the observer. The formula for the observed wavelength is given by:
λ' = λ * (1 + v/c)
Where λ' is the observed wavelength, λ is the actual wavelength, v is the relative velocity of the source, and c is the speed of light.
In this case, the galaxy is receding from us at a speed of 3000 km/sec. Converting this to meters per second, we get:
v = 3000 km/sec * 1000 m/km = 3 x 10^6 m/sec
The speed of light, c, is approximately 3 x 10^8 m/sec.
Substituting these values into the formula, we get:
λ' = 6500 A * (1 + (3 x 10^6 m/sec)/(3 x 10^8 m/sec))
Simplifying this expression gives:
λ' = 6500 A * (1 + 0.01)
λ' = 6500 A * 1.01
λ' ≈ 6565 A
Therefore, when seen by us, the wavelength of the hydrogen red line radiation emitted by the galaxy will appear to be higher by approximately 131 A0 (6565 A - 6500 A).
A galaxy is receding relative to us at a speed of 3000 km/sec. It emit...