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The root mean square speed of oxygen at ...

The root mean square speed of oxygen at `27^(@)C` is 760` cm s^(-1)`. The root mean square speed of hydrogen at the same temperature will be `:`

A

3040 cm `s^(-1)`

B

190 cm `s^(-1)`

C

`1520 cm s^(-1)`

D

760 cm `s^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
`( mu ( O_(2)))/( mu ( H_(2))) = sqrt(( 2 )/( 32)) = sqrt(( 1 )/( 16)) = ( 1)/( 4)`
`:. mu ( H_(2)) = mu ( O_(2)) xx 4 `
`= 760 xx 4 = 3040cm s^(-1)`
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