Q. If $L\ and\ R$ represent inductance and resistance respectively, then dimension of $L/R$ will be
A) $\left\lbrack ML^{0}T^{0} \right\rbrack$
B) $\left\lbrack M^{0}L^{0}T^{- 1} \right\rbrack$
C) $\left\lbrack M^{0}L^{0}T^{- 2} \right\rbrack$
D) $\lbrack M^{0}LT^{- 2}\rbrack$
Explanation
(b) $L/R$ represents time constant of R-L circuit. Therefore, its dimensions are $\left\lbrack M^{0}L^{0}T^{1} \right\rbrack.$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.