With the usual notations, the following equation \(S_t = -u…

Physics Units, Dimensions and Measurement Mix Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: September 11, 2026

With the usual notations, the following equation \(S_t = -u + \frac{1}{2} a (2t - 1)\) is

Only numerically correct

Only dimensionally correct

Both numerically and dimensionally correct

Neither numerically nor dimensionally correct

Text Solution

Verified by Experts

The correct answer is:

We can derive this equation from equations of motion so it is numerically correct.

5 : = distance travelled in t ^th second = \(\frac{\text{Distance}}{\text{time}} - [T \cdot ']\)

\(\mu\) = velocity = \(\left[ L T^{-1} \right]\) and \(\frac{1}{2} \alpha (2t - 1) - [\tau \cdot ']\)

As dimensions of each term in the given equation are same, hence equation is dimensionally correct also.

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