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At what temperature will the speed of so...

At what temperature will the speed of sound in hydrogen be the same aas in oxygen at `100^(@)` ? Molar Masses of oxygen and hydrogen are in the ratio `16: 1` .

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The correct Answer is:
B, C, D
`nu=sqrt((gammaRt)/(M))`
:. `nu_(H_(2))= nu_(0_(2))`
`sqrt((gamma_(H_(2)) RT_(H_(2)))/(M_(H_(2)))) = sqrt((gamma_(0_(2)) RT_(0_(2)))/(M_(0_(2)))`
`nu_(H_(2)) = gamma _(0_(2))` (as both are diatomic) :. `T_(H_(2)) =((M_(H_(2)))/(M_(0_(2)))) (T_(0_(2)))= ((1)/(16)) (100 +273)`
`= 23.31 K`
`~~ - 249. 7_(@) C`
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