Question

In relation, F = a + bx, where F is the force, x is the distance. Calculate the dimensions of a and b.

Answer 1

Given relation,

F = a + bx

Applying the principle of homogeneity of dimensions. We have,

Dimensions of a = dimensions of F
= \([M^1L^1T^{-2}]\)

Dimension of bx = dimensions of F

Dimensions of b = dimensions of F/x