Question

Check the equation v=u+at by the method of dimensions

Answer 1

This is probably the way...

Answer 2

Answer:

Given equation is

v=u+at

Where v = final velocity

            u = initial velocity

            a = acceleration

             t = time

According to dimensional formula

Dimension of mass = [M]

Dimension of length = [L]

Dimension of time = [T]

Now from equation

L.H.S= v

whose dimensional formula will be [LT{-1}]

R.H.S = u+at

whose dimensional formula can be given by

$[LT^{-1}]+[LT^{-2}][T]$

$=\ 2[LT^{-1}]$

Since, 2 is a constant hence it will be dimensional less.

So, as we can see dimension of L.H.S and R.H.S of the equation is equal hence the equation will be dimensionally correct.