Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Units and Measurements

Question:

If v stands for velocity of sound, E is elasticity and d the density, then find x in the equation v = $(d/E)^x$

Options:

1

½

2

-1/2

Correct Answer:

-1/2

Explanation:

[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= $\frac{-1}{2}$