G L Mittal and TARUN MITTAL Solutions for Chapter: Wave Motion, Exercise 2: NUMERICALS

The wavelength of a sound note of frequency $500 Hz$ at $15°C$ in air is $0.68 \mathrm{m}$. The density of air at $0°C$ is $1.29 \mathrm{kg} {\mathrm{m}}^{-3}$ . Calculate $\gamma$ for air. The atmospheric pressure is $1.01 \times {10}^5 \mathrm{N} {\mathrm{m}}^{-2}$. 

Calculate the ratio of the speeds of sound at $0°C$ and $1092 K$ in air. 

If the speed of sound at $0°C$ be $330 {\mathrm{ms}}^{-1}$, then at what temperature will its value become $495 {\mathrm{ms}}^{-1}$?

At what temperature will the speed of sound be double of its value at $27°C$?

 At what temperature will the speed of sound in the air be$1.8$ times the speed of sound in air at $20°C$ ?

At what temperature will the speed of sound in air become $1.2$ times the speed of sound at $0°C$ ?

Calculate the temperature at which the velocity of sound in air is double its velocity at $0°C$.

At what temperature will the speed of sound in hydrogen be the same as in oxygen at $100°C$? Densities of oxygen and hydrogen are in the ratio $16:1$.