The dimension equivalent to joule is:
| The dimension equivalent to joule is:
A. M<sup>-1</sup> L<sup>2</sup> T
B. ML<sup>-1</sup> T<sup>-1</sup>
C. ML<sup>2</sup> T<sup>-2</sup>
D. ML<sup>2</sup> T<sup>-1</sup>
Please scroll down to see the correct answer and solution guide.
Right Answer is: C
SOLUTION
CONCEPT:
- Work done: The dot product of force and displacement is called work done.
- The SI unit of work is the joule (J).
Work done (W) = F.s cos θ
Where F is force, s is displacement and θ is the angle between F and s.
Dimensional formula of work (W) = [ML2T-2]
- Energy: The capacity to do work is called energy.
- The SI unit of energy is the joule (J).
Energy (E) = Work done (W)
Dimensional formula of Energy (E) = dimensional formula of work done (W) = [ML2T-2]
EXPLANATION:
- The dimensional equivalent to joule is [ML2T-2]. So option 3 is correct.