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Question

Physics Question on Wave optics

Due to Doppler?? effect the shift in wavelength observed is 0.1 ? for a star producing wavelength 6000 ?. Velocity of recession of the star will be

A

5 km/s

B

25 km/s

C

20 km/s

D

10 km/s

Answer

5 km/s

Explanation

Solution

The formula for Doppler shift Δλλ=vc\frac{\Delta\lambda}{\lambda}=\frac{v}{c} v=Δλλ.c=0.16000×3×108=0.5×104=5kms1v=\frac{\Delta \lambda}{\lambda}. c=\frac{0.1}{6000}\times3\times10^{8}=0.5\times10^{4}=5 \, km \, s^{-1}