Find the ratio of velocities of sound in hydrogen to oxygen at STP- The - values of hydrogen and oxygen are same-

The correct option is D 4 : 1Speed of sound in Hydrogen(VM_2)=√(YRT/MH_2) (M_H)= molecular mass of (H_2) Speed of sound in Omgyon (V_02)=√(Y R T ...

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Standard XII

Physics

Derivation of the Speed of Sound

Find the rati...

Question

Find the ratio of velocities of sound in hydrogen to oxygen at STP. The $γ$ values of hydrogen and oxygen are same.

4 : 1

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1 : 4

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Solution

The correct option is D 4 : 1
Speed of sound in $H y d r o g e n ({V M}_{2}) = \sqrt{\frac{Y R T}{{M H}_{2}}}$

$(M_{H}) = molecular mass of (H_{2})$

$Speed of sound in Omgyon (V_{02}) = \sqrt{\frac{Y R T}{M O_{2}}}$

$(M O_{2}) = molecular man of (O_{2})$

\ $fracVMbVO2=√YRTMH2×MO2YRT$

$\frac{V M_{L}}{V O_{2}} \Rightarrow \sqrt{\frac{M O_{2}}{M H_{2}}} \Rightarrow \sqrt{\frac{16 \times 2}{1 \times 2}} \Rightarrow \sqrt{\frac{16}{1}}$

$\frac{V H_{2}}{V O_{2}} = \frac{4}{1}$

Option A is the right answer

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Find the ratio of velocities of sound in hydrogen to oxygen at STP. The γ values of hydrogen and oxygen are same.

The correct option is D 4 : 1Speed of sound in Hydrogen(VM2)=√YRTMH2(MH)= molecular mass of (H2) Speed of sound in Omgyon (V02)=√YRTMO2(MO2)= molecular man of (O2)\fracVMbVO2=√YRTMH2×MO2YRTVMLVO2⇒√MO2MH2⇒√16×21×2⇒√161VH2VO2=41Option A is the right answer

Find the ratio of velocities of sound in hydrogen to oxygen at STP. The $γ$ values of hydrogen and oxygen are same.