Question

Test dimensionally if the equation $v^2=u^2$ + 2ax may be correct.

• A. correct for sure
• B. may be correct
• C. wrong for sure
• D. none of these

Answer 1

The correct option is B

may be correct

There are three terms in this equation $v^2,u^2$ and 2ax. The equation may be correct if the dimensions of

these three terms are equal.

$\left[v^2\right]$ = $(\frac{L}{T}{)}^2=L^2{T}^{-2}$;

$\left[u^2\right]$ = $(\frac{L}{T}{)}^2=L^2{T}^{-2}$;

and [2ax] = [a][x] = $\left(\frac{L}{T^2}\right)$L = $L^2{T}^{-2}$

Thus, the equation may be correct.