If energy \(\left( E \right)\) , velocity \(\left( V \right…

Physics Units, Dimensions and Measurement Dimensions Single Correct MCQ

Published on: September 12, 2026

If energy \(\left( E \right)\) , velocity \(\left( V \right)\) and force \(\left( F \right)\) be taken as fundamental quantity, then what are the dimensions of mass

E v^{2}

E_{v}^{-2}

F v^{-1}

F_{v}^{-2}

Text Solution

Verified by Experts

The correct answer is:

Let m \propto E^{x} v^{y} F^{z}

By substituting the following dimensions :

\(\left[E\right] = \left[ML^{2}T^{-2}\right], \left[v\right] = \left[LT^{-1}\right], \left[F\right] = \left[MLT^{-2}\right]\)

and by equating the both sides

x = 1, y = -2, z = 0 . So [m] = [Ev^{-1}]

Previous Question Next Question

Prepare Smarter with CGP Edu

Get practice questions, solutions, and test series in one place.

Write a Review

Share your experience with this question and solution.

Commentary

Send your comment, doubt, correction, or feedback to admin.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Share this question

Text Solution

Prepare Smarter with CGP Edu

Write a Review

Commentary

Student Reviews

Similar Questions