Question Detail
Question
If v stands for velocity of sound, E is elasticity and d the density, then find x in the equation v = (E/d)ˣ
Correct Answer
Option B is the correct answer.
Detailed Explanation
v has dimensions [LT⁻¹]. E has [ML⁻¹T⁻²] (like pressure), d has [ML⁻³]. So E/d has [ML⁻¹T⁻²]/[ML⁻³] = [L²T⁻²]. √(E/d) has [LT⁻¹], so x = 1/2.
Hint
Use dimensional analysis.