A) \[2.5\,km{{s}^{-1}}\]
B) \[10\,km{{s}^{-1}}\]
C) \[5\,km{{s}^{-1}}\]
D) \[20\,km{{s}^{-1}}\]
Correct Answer: C
Solution :
The spectral shift \[(z)=\frac{\lambda -{{\lambda }_{0}}}{{{\lambda }_{0}}}\] Also, \[z=\frac{\text{Velocity}\,\text{of}\,\text{recession}\,\text{of}\,\text{star(v)}}{\text{Velocity}\,\text{of}\,\text{light}\,\text{(c)}}\] \[\therefore \] \[v=\frac{\lambda -{{\lambda }_{0}}}{{{\lambda }_{0}}}\times c\] \[=\frac{0.1}{6000}\times 3\times {{10}^{8}}=5000\,m{{s}^{-1}}\] \[=5\,km\,{{s}^{-1}}\]You need to login to perform this action.
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