First slide

Dimensions of physical quantities

Question

If $x = a t + b t^{2}$ , where x is the distance travelled by the body in kilometers while t is the time in seconds, then the unit of b is

Easy

A

km/s
B

km-s
C

km/s²
D

km-s²

Solution

ACCORDING to principle of homogenity all the terms of a given equation will have the same units and dimensions $[x] = [b t^{2}] \Rightarrow [b] = [x / t^{2}] = km / s^{2}$

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