First slide

Dimensions of physical quantities

Question

If $S = a + b t + c t^{2}$ . S is measured in metres and t in seconds. The unit of c is

Easy

A

none
B

m
C

ms^-1
D

ms^-2

Solution

According to principle of homogenity all the terms of a given equation will have the same units and dimensions.
ct² must have dimensions of L
$\Rightarrow$ c must have dimensions of [L/T²] i.e. [LT^-2] and units $m s^{- 2}$ .

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