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  • Brainly User
2014-11-09T14:51:23+05:30
Speed of sound =√(modulus of elasticity)/√(density)
1 5 1
how will u express it in terms of dimensional analysis
2014-11-09T18:56:12+05:30

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Speed  = v = [ L ] [ T⁻¹ ]
volume density = d = [ M ] [ L⁻³ ]

Young's Modulus in a solid = [ M ] [ L⁻¹ ] [ T⁻² ]

         v = k Y^a d^b  

          [ L ] [ T⁻¹ ] =  [ M ]^a [ L⁻¹ ]^a [ T⁻² ]^a  [ M ]^b [ L⁻³ ]^b

compare the powers of M, L, and T respectively on both sides.
           a + b = 0 
               -a -3b = 1    =>   -2b = 1   =>  b = -1/2   a  = 1/2 
 
       Hence  v = √(Y/d)

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