MCQ
If the density of oxygen is $16$ times that of hydrogen, what will be the ratio of their corresponding velocities of sound waves
- ✓$1:4$
- B$4:1$
- C$16:1$
- D$1:16$
✓
Answer
Correct option: A.
$1:4$
a
(a) $v = \sqrt {\frac{{\gamma P}}{\rho }} \Rightarrow \frac{{{v_{{O_2}}}}}{{{v_{{H_2}}}}} = \sqrt {\frac{{{\rho _{{H_2}}}}}{{{\rho _{{o_2}}}}}} = \sqrt {\frac{1}{{16}}} = \frac{1}{4}$
(a) $v = \sqrt {\frac{{\gamma P}}{\rho }} \Rightarrow \frac{{{v_{{O_2}}}}}{{{v_{{H_2}}}}} = \sqrt {\frac{{{\rho _{{H_2}}}}}{{{\rho _{{o_2}}}}}} = \sqrt {\frac{1}{{16}}} = \frac{1}{4}$
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