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Q. The velocity of sound is greatest in

Bihar CECEBihar CECE 2009

Solution:

Velocity of sound in any elastic medium is given by
$v=\sqrt{\frac{E}{\rho}}=\sqrt{\frac{\text { Elasticity of the medium }}{\text { Density of the medium }}}$
As solids are most elastic while gases least
ie, $E_{S}>E_{L}>E_{G}.$
So, the velocity of sound is maximum in solids and minimum in gases.
Hence, $v_{\text {steel }}>v_{\text {water }}>v_{\text {air }}$
$5000\, ms ^{-1}>1500\, ms ^{-1}>330\, ms ^{-1}$