check the correctness of the relation:

v=root under E/P ,

where v is speed of the sound in a medium of elasticity E and density P.

Question

check the correctness of the relation:
v=root under E/P ,
where v is speed of the sound in a medium of elasticity E and
density P

Jyoti Pant · Accepted Answer

We represent as

v-velocity of sound

E-elasticity

d-density of the medium

$[v] = [L T^{- 1}] [E] = [M L^{- 1} T^{- 2}] [d] = [M L^{- 3}] [\sqrt{\frac{E}{d}}] = [L T^{- 1}]$

$= > v = \sqrt{\frac{E}{d}}$

The formula is correct.