Units & Dimensions

JEE Main level, single correct, medium

15 of 149

Question 15 of 149

Let L,R,CL,R,C and VV represent inductance, resistance, capacitance and voltage, respectively. The dimension of LRCV\dfrac{L}{RCV} in SISI units will be:

Show answer and solution

Answer: (B) [A−1]\left[{A}^{-1}\right]

[LCVR]=[LRRCRV]=[LR][1RC][RV]\left[\dfrac{L}{CVR}\right]=\left[\dfrac{L}{R}\dfrac{R}{CRV}\right]=\left[\dfrac{L}{R}\right]\left[\dfrac{1}{RC}\right]\left[\dfrac{R}{V}\right]

=[T][1T][RV]=\left[T\right]\left[\dfrac{1}{T}\right]\left[\dfrac{R}{V}\right]

=[RV]=[1I]=A−1=\left[\dfrac{R}{V}\right]=\left[\dfrac{1}{\text{I}}\right]={A}^{-1}

JEE Main question paper PDF

Open a shift to read the full paper on this page, or download it.

JEE Main 2025 Apr 2 Shift 1 question paper

Open Download PDF

Opening paper…

Explain it as a whiteboard videoStep-by-step, in Hinglish or English. Your first video needs no login.Solved it on paper but got it wrong?Upload a photo of your working. Mistake Doctor marks the exact line that broke.

More Physics practice

JEE Main Physics practice question on Units & Dimensions (Units), with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.