Can a dimensionally correct equation be physically correct or not?

Answers (1)

Let's understand this with the help of an example:
We know that area of the circle is given by \pi r^2 and it's dimension is L2. But if we write the equation of area of circle as 2\pi r^2, it's dimension will also be equal to L2. But 2\pi r^2 is not the correct formula for area of circle. So, we can say that a dimensionally correct equation may or may not be correct.

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