First slide

Dimensions

Question

Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, of length L, of time T and of current I, would be

Moderate

A

$[M L^{2} T^{- 2}]$
B

$[M L^{2} T^{- 1} I^{- 1}]$
C

$[M L^{2} T^{- 3} I^{- 2}]$
D

$[M L^{2} T^{- 3} I^{- 1}]$

Solution

According to Ohm’s law,
$\begin{matrix} V = R I or R = \frac{V}{I} \\ Dimensions of V = \frac{W}{q} = \frac{[{ML}^{2} T^{- 2}]}{[IT]} \end{matrix}$
$∴ R = \frac{[M L^{2} T^{- 2} / I T]}{[I]} = [M L^{2} T^{- 3} I^{- 2}]$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App