MCQ
Velocity of sound measured at a given temperature in oxygen and hydrogen is in the ratio
- ✓$1: 4$
- B$4: 1$
- C$1: 1$
- D$32: 1$
✓
Answer
Correct option: A.
$1: 4$
a
(a)
(a)
Velocity of sound in a gascous medium is
$\quad v=\sqrt{\frac{\gamma R T}{M}}$
$\Rightarrow \quad v \propto \frac{1}{\sqrt{M}}$
$\text { So, } \quad \frac{v_{\text {Oxygen }}}{v_{\text {Hydrogen }}}=\sqrt{\frac{M_{ H }}{M_0}}=\sqrt{\frac{2}{32}}$
$\Rightarrow \quad \frac{v_{\text {Oxygen }}}{v_{\text {Hydrogen }}}=\frac{1}{4}$
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