A) \[9.66\times {{10}^{9}}m/s\]
B) \[6.86\times {{10}^{5}}m/s\]
C) \[7.78\times {{10}^{5}}m/s\]
D) none of these
Correct Answer: B
Solution :
From Hubbles law the red shift (z) is directly proportional to the distance (r) of the galaxy from us, i.e., \[z=\frac{d\lambda }{\lambda }=\frac{speed\text{ }of\text{ }galaxy}{speed\text{ }of\text{ }light\text{ }\left( c \right)}\] \[\Rightarrow \] Speed of galaxy \[=\frac{d\lambda }{\lambda }\times c\] Here, \[d\,\lambda =\lambda -{{\lambda }_{0}}=15\,\overset{o}{\mathop{A}}\,,\,{{\lambda }_{0}}=6563\,\overset{o}{\mathop{A}}\,\]. \[\Rightarrow \] Speed of galaxy \[=\frac{15}{6563}\times 3\times {{10}^{8}}\] \[=6.86\times {{10}^{5}}m/s\].You need to login to perform this action.
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