Q. The dimensions of $K$ in the equation $W = \frac{1}{2}\ Kx^{2}$ is
A) $M^{1}L^{0}T^{- 2}$
B) $M^{0}L^{1}T^{- 1}$
C) $M^{1}L^{1}T^{- 2}$
D) $M^{1}L^{0}T^{- 1}$
Explanation
$W = \frac{1}{2}\ kx^{2} \Rightarrow \lbrack k\rbrack = \frac{\lbrack W\rbrack}{\lbrack x^{2}\rbrack} = \ \left\lbrack \frac{ML^{2}T^{- 2}}{L^{2}} \right\rbrack = \lbrack MT^{- 2}\rbrack$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.