Question

Check the consistency of the following equations using dimensions (i) V=u + at (ii) S=ut+1/2at2​

Answer 1

Answer:

Given equation is v = u + at , Writing the dimensional formula of each of them we get [LT-1] = [LT-1] + [LT2][T] [LT-1] = [LT-1] + [LT-1] All the terms have the same dimensional formula and hence the equation is dimensionally correct. 2. Given equation is s = ut + 1/2 at2 Writing the dimensional formula of each of them we get, [L] = [LT-1][T] + [LT-2][T2] [L] = [L] + [L] All the terms have the same dimensional formula and hence the equation is dimensionally correct.