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Question

In a system of units if force (F), acceleration (A) and time, (T) are taken as fundamental units then the dimensional formula of energy is -

A
FA2T
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B
FAT2
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C
F2AT
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D
FAT
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Solution

The correct option is A FA2T
Consider that the energy is expressed as:
E=KFaAbTc

Substituting the dimensional formulas:
[ML2T2]=[MLT2]a[LT2]b[T]c

[ML2T2]=[MaLa+bT2a2b+c]

a=1,a+b=2b=1

and 2a2b+c=2c=2

E=KFAT2

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