Question

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

Answer 1

by the principle of homogeniety of dimension, the dimension occur on both side should be same.

for equation,

                             let"s check,

   

                  v=u+at

dimension of v= [LT⁻¹]

Dimension of u=[LT⁻¹]

Dimension of at=[LT⁻²][T]= [LT⁻¹]

SINCE DIMENSION OCCURS ON BOTH SIDE IS SAME ,

this equation is dimensionally correct.