Q. The dimensions of $\frac{R}{L}$ are [here, $R =$electric resistance, $L =$self inductance]
A) $\lbrack T^{- 2}\rbrack$
B) [$T^{- 1}$]
C) [$ML^{- 1}$]
D) $\lbrack T\rbrack$
Explanation
Time constant $= \frac{L}{R}$ $\therefore\ \ \ \ \left\lbrack \frac{L}{R} \right\rbrack = \lbrack T\rbrack$ $\therefore\ \ \ \ \left\lbrack \frac{R}{L} \right\rbrack = \lbrack T^{- 1}\rbrack$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.