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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

`(100)/(3)`

B

`100 sqrt2`

C

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

D

`(100 sqrt2)/(3)`

Text Solution

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The correct Answer is:
C
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