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JEE Main 201912 JanuaryEvening Shift

Exam: JEE Main
Year: 2019
Date: 12 January
Shift: Evening Shift
Subject: Physics
Chapter: Units and Dimensions

JEE Main 2019 · 12 January · Evening Shift · Physics · Units and Dimensions

Let L, R, C and V represent inductance, resistance, capacitance and...

Let

L, R, C

and

V

represent inductance, resistance, capacitance and voltage, respectively. The dimension of

\dfrac{L}{RCV}

in

SI

units will be:

Options

A $\left[LTA\right]$
B $\left[{A}^{- 1}\right]$
C $\left[L{T}^{2}\right]$
D $\left[L{A}^{- 2}\right]$

Correct answer

B. $\left[{A}^{- 1}\right]$

Step-by-step solution

\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]

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

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

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