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Question: Arrange the speed of sound in gases ​\(V_g\), solids \(V_s\) and liquids \(V_l\) in an ascending ord...

Arrange the speed of sound in gases ​VgV_g, solids VsV_s and liquids VlV_l in an ascending order.
A.​VgV_g< VlV_l <VsV_s
B. ​VlV_l< VgV_g <VsV_s
C. ​VsV_s< VlV_l <VgV_g
D. Data insufficient

Explanation

Solution

In order to explain this question, we should know the factors which depend on the speed of sound. Also we should be aware of how speed of sound differs in different states.

Complete step by step answer: As we have explained above the speed of sound depends mainly on two factors that is density and elasticity of the medium. If the elasticity in the medium is more, then greater the speed of sound and lesser the elasticity in medium, lower the speed of sound.

If the medium is more dense then lower the speed of sound in a medium and less dense then greater the speed of sound in a medium. Hence the speed of sound in a medium is inversely proportional to density and elasticity of a medium.

Also we can say if elasticity in a medium is more which means elastic property of bulk modulus is more, pressure, tension and the other physical quantity makes it more difficult to change the configuration or deformation in the medium.

Speed of sound is the square root of the ratio of the elastic properties. If lower the density and more elasticity such that the greater the sound.
Hence the speed of sound in increasing order is ​VgV_g< VlV_l <VsV_s.

Hence the correct option is A.

Note: Usually the speed of sound depends on the characteristics of medium through which propagation takes place. The speed of sound is defined as the mechanical propagation of sound waves. Speed of sound is used to describe the speed of sound waves in an elastic medium.