First slide

Dimensions of physical quantities

Question

The velocity of a body moving in viscous medium is given by $V = \frac{A}{B} [1 - e^{- t / B}]$ where $t$ is time, $A$ and $B$ are constants. Then the dimensional formula of A is

Easy

A

$M^{0} L^{0} T^{0}$
B

$M^{0} L^{1} T^{0}$
C

$M^{0} L^{1} T^{- 1}$
D

$M^{1} L^{1} T^{- 1}$

Solution

$\frac{- t}{B} = c o n s \tan t B = [T] \frac{A}{B} = v e l o c i t y = [L T^{- 1}] A = [L T^{- 1}] [T] = [L]$

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