If v stands for velocity of sound, E is elasticity and d the density, then find x in the equation v = $(d/E)^x$
Answer & explanation
Correct answer: option 4
[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= $\frac{-1}{2}$