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Question: Two gas X and Y contain equal number molecules. The each molecules of gas X having mass m while the ...

Two gas X and Y contain equal number molecules. The each molecules of gas X having mass m while the each molecules of gas Y having mass 4 m. The ratio of RMS speed of gas X and Y at same temp is-

A

2 : 1

B

1 : 2

C

4 : 1

D

1 : 4

Answer

2 : 1

Explanation

Solution

VxVy\frac{V_{x}}{V_{y}} = MyMx\sqrt{\frac{M_{y}}{M_{x}}} = 4mNAmNA\sqrt{\frac{4mN_{A}}{mN_{A}}} = 21\frac{2}{1}