In: Physics
Hydrogen also produces spectral lines at radio wavelengths, notably at 21.1 cm. If a galaxy is moving away from us at 21% of the speed of light, at what wavelength will we detect this line? Convert this into frequency.
We will detect this line at wavelength λ = ______ cm.
The frequency is v = _____ × 10^9 Hz or ______ GHz.
wavelength of light emiited by hydrogen,0=650
nm
speed of observer,v=0.21c
According to relativistic doppler effect
=
0[(1-v/c)/(1+v/c)]1/2
=21.1cm[(1+0.21c/c)/(1-0.21c/c)]1/2=26.11
cm=26.11
10-2
m
frequecy=c/=(3
108)/(26.11
10-2)=1.15
109
Hz
So
Answers.
We will detect this line at wavelength λ = _26.11_____ cm.
The frequency is v = _1.15____ × 10^9 Hz or ___1.15___ GHz.