First slide

Dimensions of physical quantities

Question

The damping force of an oscillating particle is observed to be proportional to velocity. The constant of proportionality can be measured in

Moderate

A

$k g s^{- 1}$
B

$k g s$
C

$k g m s^{- 1}$
D

$k g m^{- 1} s^{- 1}$

Solution

Force, $F = k v, [k] = \frac{[F]}{[v]} = \frac{[M L T^{- 2}]}{[L T^{- 1}]} = [M T^{- 1}]$
So, unit is $k g s^{- 1} .$

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