Question

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

• A. only numerically correct.
• B. only dimensionally correct.
• C. both numerically and dimensionally correct.
• D. neither numerically nor dimensionally correct.

Answer 1

The correct option is A only numerically correct.

Given relation is $S_n=u+\frac{1}{2}a(2n-1)$
So, comparing L.H.S and R.H.S dimensionally, on L.H.S $S_n$ is the distance while on R.H.S, $u$ is the speed, hence, it is not dimensionally correct. It is numerically correct only.