A) \[9.66\,\times {{10}^{9}}m/s\]
B) \[8.96\,\times {{10}^{7}}m/s\]
C) \[7.76\,\times {{10}^{8}}m/s\]
D) \[6.86\,\times {{10}^{5}}m/s\]
Correct Answer: D
Solution :
Here: wavelength of line\[{{\lambda }_{0}}=6563\,\overset{\text{o}}{\mathop{\text{A}}}\,.\] Change in wavelength, \[\Delta \lambda =\lambda -{{\lambda }_{0}}\,=15\,\overset{\text{o}}{\mathop{\text{A}}}\,\] Velocity of recession of star is given by \[v=\frac{(\lambda -{{\lambda }_{0}})\,c}{\lambda }=\frac{15\times 3\times {{10}^{8}}}{6563}=6.68\times {{10}^{5}}m\text{/}s\]
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