A) same
B) different
C) cannot say
D) depends on nature of the gas
Correct Answer: B
Solution :
Root mean square speed of molecules in a gas is defined as the square root of mean of squares of the speed of different molecules\[ie,\] \[{{v}_{rms}}=\sqrt{(v_{1}^{2}+v_{2}^{2}+...)/N}\] or \[{{v}_{rms}}=\sqrt{\frac{3RT}{M}}\] (according to kinetic theory of gases) While most probable speed is the speed which maximum number of molecules in a gas have at constant temperature and is given by \[{{v}_{mp}}=\sqrt{\frac{2RT}{M}}\] It is obvious that\[{{v}_{rms}}>{{v}_{mp}}\].
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