Physics Units, Dimensions and Measurement All Topic Question for Revision Test Single Correct MCQ
Published on: September 12, 2026

If force , acceleration and time [ ] are chosen as the fundamental physical

quantities. Find the dimensions of energy.

A
B

C
D

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Text Solution

Verified by Experts
The correct answer is:
C
To find the dimensions of energy, we start with the definition of energy in terms of force, displacement (acceleration can be derived from displacement), and time. The formula for work (energy) is given by:
$$ W = F imes d $$
where W is work (energy), F is force, and d is the displacement. The dimension of force [F] can be expressed as:
$$ [F] = [M][L][T^{-2}] $$
where [M] is mass, [L] is length, and [T] is time.
The dimension of displacement [d] is [L]. Therefore, the dimensions of work [W] become:
$$ [W] = [F][L] = [M][L][T^{-2}][L] = [M][L^{2}][T^{-2}] $$
Thus, the dimensions of energy are [M][L^{2}][T^{-2}]. Hence, option C, which represents this dimension, is the correct one.

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