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The molecules of a given mass of a gas have rms velocity of `200 m/s at 27^(@)C and 1.0 xx 10^(5) N//m_(2)` pressure. When the temperature and pressure of the gas are respectively `127^(@)C and 0.05 xx 10^(5) Nm^(-2)`, the rms velocity of its molecules in `ms^(-1)` is
(a) `(400)/(sqrt(3))` (b) `(100sqrt(2))/(3)` (c) `(100)/(3)` (d) `100sqrt(2)`

A

`(100sqrt(2))/(3)`

B

`100sqrt(2)`

C

`(400)/(sqrt(3))`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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