A) 82 km
B) 12.4 km
C) 10.6 km
D) 152 km
Correct Answer: B
Solution :
[b] \[{{v}_{rms}}=\sqrt{\frac{3RT}{M}}=\sqrt{\frac{3\times 8.31\times 273}{28\times {{10}^{-3}}}}=493m/s\] Thus \[\frac{1}{2}mv_{rms}^{2}=\frac{mgh}{1+\frac{h}{R}}.\] After substituting the values and simplifying, we get h= 12.4 kmYou need to login to perform this action.
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