First slide

Dimensions of physical quantities

Question

In the formula, $a = 3 b c^{2},$ a and c have dimensions of electric capacitance and magnetic induction respectively. What are dimensions of b in MKS system?

Moderate

A

$[M^{- 3} L^{- 2} T^{4} Q^{4}]$
B

$[M^{- 3} T^{4} Q^{4}]$
C

$[M^{- 3} T^{3} Q]$
D

$[M^{- 3} L^{2} T^{4} Q^{- 4}]$

Solution

Given, $a = 3 b c^{2}$
$\Rightarrow b = \frac{a}{3 c^{2}}$
Writing dimensional for a and c, we have
$[b] = \frac{[Q / V]}{[B^{2}]} = \frac{[Q] / [M L^{2} T^{- 2} Q^{- 1}]}{{[M T^{- 1} Q^{- 1}]}^{2}}$
$= [M^{- 3} L^{- 2} T^{4} Q^{4}]$

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