Q.

A force F is given by F = at + bt2, where t is time. What are the dimensions of a and b?

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a

MLT−1  and  MLT0

b

MLT−3  and  ML2T−4

c

MLT−4  and  MLT

d

MLT−3  and  MLT−4

answer is D.

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Detailed Solution

Given, F = at + bt2Only similar quantities can be equated, hence dimensions of the terms on both sides of the equation must be same.[MLT-2] = a[T]⇒a=MLT−3Similarly, MLT−2=bT2⇒b=MLT−4
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