Hydrogen also produces spectral lines at radio wavelengths, notably at 21.1 cm. If a galaxy is...

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.

Expert Solution

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=26.1110-2 m

frequecy=c/=(3108)/(26.1110-2)=1.15109 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.

genius_generous answered 2 years ago

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