Sheet 02 Factor Effecting Speed of Sound and Temperature Co-efficient.
The velocity of sound at \(0^{o}C\) is \(330\frac{m}{s}\). At what temperature will its velocity be \(660\frac{m}{s}\)?
Ans: \(819^{o}C\).
A tuning fork of frequency \(220Hz\) produces sound wave of wavelength \(1.5m\) in air at S.T.P. Calculate: the increase in wavelength when temperature of air is \(27^{o}C\)?
Ans:\(\Delta\lambda=0.07m\).
Calculate: the increase in velocity of the sound when the temperature changes from \(-3^{o}C\) to \(27^{o}C\). Speed of sound at \(-3^{o}C\) is \(300\frac{m}{s}\). Given: \(\sqrt{10}=3.2\),
Ans: \(\Delta V=20\frac{m}{s}\).
What is the ration of velocity of sound in hydrogen \(\left(\gamma=\frac{7}{5}\right)\) to that in helium \(\left(\gamma=\frac{5}{3}\right)\) at the same temperature. Molecular weight of hydrogen and helium are \(2\) and \(4\).
At normal temperature and pressure, the speed of sound in air is \(332\frac{m}{s}\). What would be the speed of sound in hydrogen at \(546^{o}C\) and \(2atm\) pressure? Given: that the air is \(16\) times heavier than Hydrogen.
Ans: \(V_{h}=2300\frac{m}{s}\).
Find the temperature at which sound travels in hydrogen with the same velocity as in oxygen at \(1000^{o}C\). Density of oxygen is \(16\) times that of hydrogen.
Ans: \(t=193.44^{o}C\).
A gas is a mixture of two parts by volume of hydrogen and one part by volume of nitrogen. If the velocity of sound in hydrogen at \(0^{o}C\) is \(1300\frac{m}{s}\). find the velocity of sound in gaseous mixture at \(27^{o}C\)?
Ans: \(V=591\frac{m}{s}\).
The ratio of densities of oxygen and nitrogen is \(16:14\). At what temperature, the speed of sound in oxygen will be equal to its speed in nitrogen at \(14^{o}C\)?
Ans: \(55^{o}C\).
A sound wave propagates in air has a frequency \(4000Hz\). Calculate: the percentage change in wavelength when wave front , initially in a region where \(T=27^{o}C\) enters a region where the temperature decreases to \(10^{o}C\).
