Question

If F is the force, S is the displacement and V is the velocity of the particle, the dimensions of the ratio $FS/V^{2}$ will be}

• A. $M^{0}LT^{0}$
• B. $M^{1}L^{0}T^{0}$
• C. $M^{0}L^{0}T$
• D. $M^{0}L^{0}T^{0}$

Hint:

$FS$ represents Work (Energy), and Kinetic Energy is $\frac{1}{2}mv^{2}$. Thus, $FS/V^{2}$ must have the dimensions of Mass ($M$).

Answer 1

The Correct Option is B