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Ne4ueva [31]
3 years ago
12

Doppler shifted hydrogen absorption lines are seen in the spectrum of a star.

Physics
1 answer:
IceJOKER [234]3 years ago
6 0

Answer:

Explanation:

It is given that,

Wavelength of hydrogen line, \lambda=656.28\ nm=656.28\times 10^{-9}\ m

Shift in wavelength, \lambda'=656.08\ nm=656.08\times 10^{-9}\ m

According to Relativistic Doppler Effect, the shift in wavelength is given by :

\dfrac{\lambda'}{\lambda}=\sqrt{\dfrac{1+v/c}{1-v/c}}

v is the speed of star

c is the speed of light

(\dfrac{\lambda'}{\lambda})^2=\dfrac{c+v}{c-v}

v=c-\dfrac{2c}{(\dfrac{\lambda'}{\lambda})^2+1}

v=3\times 10^8-\dfrac{2\times 3\times 10^8}{(\dfrac{656.08\times 10^{-9}}{656.28\times 10^{-9}})^2+1}

v=91438.32\ m/s

or

v = 91.43 km/s

So, the star is moving with a speed of about 100 km/s. Hence, this is the required solution.

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