Question

Find the dimensions of a, b, c ,d X=at²+bt +c/d+t

Answer 1

According to principle of homogeneity, only like physical quantities having similar dimensional formula can be added or subtracted.

X is distance

t is time

So

[at²] = [L]

[a] = [LT-²]

bt = [L]

[b] = [LT-¹]

[d] = [T]

c/d-t = [L]

c/T = [L]

[c] = [LT-¹]

Cheers!