Question
A dimensionally correct equation is also numerically correct. Comment on the statement and explain.
Solution
This statement is wrong. A dimensionally correct equation may or may not be numerically correct.
For example, the equation for the angle subtended by an arc of length l of circle of radius r at the center is written as θ = 
Dimensional formula of θ = [M0L0T0]
Also dimensional formula of (
) = [M0L0T0]
Therefore the equation is dimensionally correct.
The angle subtended by an arc of length l, circle of radius r, at the center is given by t/r.
Thus, we can say that formula θ = r/l is dimensionally correct but numerically wrong.
