Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Units and Measurements

Question:

$\alpha=\frac{F}{v^2}sin(\beta t)$.Then dimensions of $\alpha$ is

Options:

[MLT]

$[ML^{-1}T^0]$

$[ML^0T]$

$[MLT^2]$

Correct Answer:

$[ML^{-1}T^0]$

Explanation:

$sin(\beta t)$ is dimensionless. So dimension of $\alpha$ is same as dimension of $\frac{F}{V^2}$ = $\frac{[MLT^{-2}]}{[L^2T^{-2}]}$ = $[ML^{-1}T^0]$