A) \[\frac{{{d}_{1}}}{{{d}_{2}}}\]
B) \[\sqrt{\frac{{{d}_{2}}}{{{d}_{1}}}}\]
C) \[\sqrt{\frac{{{d}_{1}}}{{{d}_{2}}}}\]
D) \[\frac{{{d}_{2}}^{2}}{{{d}_{1}}^{2}}\]
Correct Answer: B
Solution :
Speed of sound, \[\upsilon =\sqrt{\frac{\gamma P}{d}}\propto \frac{1}{\sqrt{d}}\] (for given same pressure, \[\gamma \]and temperature) \[\therefore \] \[\frac{{{u}_{1}}}{{{\upsilon }_{2}}}=\sqrt{\left( \frac{{{d}_{2}}}{{{d}_{1}}} \right)}\]
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