Q. The maximum static friction on a body is $F = \mu N$. Here, $N =$ normal reaction force on the body $\mu =$ coefficient of static friction. The dimensions of $\mu$ are

A) $\lbrack MLT^{- 2}\rbrack$
B) $\lbrack M^{0}L^{0}T^{0}\theta^{- 1}\rbrack$
C) Dimensionless
D) None of these
Explanation

Friction $F = \mu N$ $\mu = \frac{F}{N}$ $\therefore\ \lbrack\mu$]=$\left\lbrack \frac{F}{N} \right\rbrack = \frac{\lbrack MLT^{- 2}\rbrack}{\lbrack MLT^{- 2}\rbrack} = \$dimensionsless

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.