Question

➖➖➖we know that density is inversely proportional to temperature.
but ,when temperature is low density will be more and sound will pass Faster
but, according to book sound pass more faster in high temperature .➖➖


share your ideas.


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Answer 1

Answer:

Speed of sound in a medium is given by ,

$$v=\sqrt{K/\rho}$$ ,

where $$K=$$ elasticity of medium ,

$$\rho=$$ density of medium ,

therefore ,

or $$v\propto \sqrt{ 1/\rho}$$ ,

as speed of sound is inversely proportional to square root of density of medium , at higher temperature density of the medium decreases hence speed of sound increases therefore sound travels faster at higher temperature of the medium .