Practicing Success
If v stands for velocity of sound, E is elasticity and d the density, then find x in the equation v = $(d/E)^x$ |
1 ½ 2 -1/2 |
-1/2 |
[E] = $[ML^{-1}T^{-2}]$ [v] = $[MLT^{-1}]$ [d] = $[ML^{-3}]$ $[MLT^{-1}]=(\frac{[ML^{-3}]}{[ML^{-1}T^{-2}]})^x$ = $[L^{-2x}T^{2x}]$ ⇒Comparing the coefficient 2x= -1 x= $\frac{-1}{2}$ |