A) \[u={{\left( \frac{2E}{m} \right)}^{{\scriptstyle{}^{1}/{}_{2}}}}\]
B) \[u={{\left( \frac{3E}{2m} \right)}^{{\scriptstyle{}^{1}/{}_{2}}}}\]
C) \[u={{\left( \frac{E}{2m} \right)}^{{\scriptstyle{}^{1}/{}_{2}}}}\]
D) \[u={{\left( \frac{E}{3m} \right)}^{{\scriptstyle{}^{1}/{}_{2}}}}\]
Correct Answer: A
Solution :
Kinetic energy \[(E)=\frac{3}{2}KT\] R.MS speed \[(u)=\sqrt{\frac{3KT}{m}}=\sqrt{\frac{2E}{m}}\] Or \[u={{\left( \sqrt{\frac{2E}{m}} \right)}^{{\scriptstyle{}^{1}/{}_{2}}}}\]
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