Solveeit Logo

Question

Question: The spectral line for a given element of light received from a distant star is shifted toward longer...

The spectral line for a given element of light received from a distant star is shifted toward longer wavelength side by 0.025%. The velocity of star kin the line of light is:

A

7.5×104 m s-1

B

-7.5×104 m s-1

C

3.7×104 m s-1

D

-3.7×104 m s-1

Answer

-7.5×104 m s-1

Explanation

Solution

: Velocity of star in line of light of

v=Δλλ×c=0.025100×3×108=7.5×104ms1v = \frac{- \Delta\lambda}{\lambda} \times c = - \frac{0.025}{100} \times 3 \times 10^{8} = - 7.5 \times 10^{4}ms^{- 1}