Optics


   
 
Numerical - 32
32. The spectral line for a given element in the light received from a distant star is shifted towards a longer wavelength by 0.030%. Calculate the velocity of the star in the line of sight.
 
Suggested solution:
 
Since l is increasing, the star is receding from the earth. Let v be the speed of the star with respect to the earth: The apparent wavelength 'l' is
 
 
where c is the actual wave length.
 
 
 
 
or v = 9 x 104 m/s
 
 
     
   
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Optics