A) \[3000\,\overset{\text{o}}{\mathop{\text{A}}}\,\]
B) \[5000\,\overset{\text{o}}{\mathop{\text{A}}}\,\]
C) \[6000\,\overset{\text{o}}{\mathop{\text{A}}}\,\]
D) \[4500\,\overset{\text{o}}{\mathop{\text{A}}}\,\]
E) \[5500\,\overset{\text{o}}{\mathop{\text{A}}}\,\]
Correct Answer: B
Solution :
\[v=300\text{ }km/s\] \[v=300\times {{10}^{3}}m/s\] \[\lambda =0.5\text{ }nm\] \[=0.5\times {{10}^{-9}}m,\] \[c=3\times {{10}^{8}}m/s\] \[\therefore \] \[\frac{\Delta \lambda }{\lambda }=\frac{v}{c}\] \[\lambda =\frac{\Delta \lambda c}{v}\] \[=\frac{0.5\times {{10}^{-9}}\times 3\times {{10}^{8}}}{300\times {{10}^{3}}}\] \[=5\times {{10}^{-7}}=5000\,{\AA}\]
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