A) \[50\sqrt{2}m\]
B) \[\frac{50\sqrt{2}}{\sqrt{2}-1}m\]
C) \[\frac{50}{\sqrt{2}-1}m\]
D) \[100\sqrt{2}m\]
Correct Answer: B
Solution :
[b] Using \[\frac{P}{4\pi {{R}^{2}}}=I\] \[\Rightarrow \frac{\frac{P}{4\pi {{(D-50)}^{2}}}}{\frac{P}{4\pi {{D}^{2}}}}=\frac{2}{1}\Rightarrow \frac{{{D}^{2}}}{{{(D-50)}^{2}}}=2\] \[\Rightarrow D=\sqrt{2}(D-50)\Rightarrow (\sqrt{2}-1)D=20\sqrt{2}\] \[\Rightarrow D=\frac{50\sqrt{2}}{\sqrt{2}-1}=170.7m\]You need to login to perform this action.
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