Question

The velocity of sound in a gas depends upon:
A.Only on its wavelength
B.Only the density and elasticity of the gas
C.On intensity of the sound
D.On the amplitude and frequency

Answer 1

We can find the velocity of the gas using the formula $v=\sqrt{\dfrac{K}{\rho }}$ . Using this relation analyze and try to find out the things on which the velocity of the gas will depend upon. Also try to find the terms that are involved in the above formula to find out the answer for the above.

Complete answer:
We can find the velocity of the gas in different ways according to the data given. The formula used for finding the velocity of the gas is $v=\sqrt{\dfrac{K}{\rho }}$ where the terms involved in this formula are as follows
$v$ = velocity of the gas
$K$ = the modulus of the bulk elasticity of the gas
$\rho$ = density of the medium
From the above formula or the relation of the velocity of the gas with the other terms we can observe that the velocity of the gas depends upon both the density and elasticity of the medium.

Hence the option (B) is the correct answer.

Note:
While analyzing the dependent terms of any parameter from a formula try to expand the formula as much as possible so that all the final terms are constants. Then there will not be any errors. In the above formula both the terms elasticity and the density are constants and hence we can analyze with the same without any further expansion.