Question

Rule out or accept the following formula for kinetic energy on the basis of dimensional arguments. (i)R = 3/16 mv^2 (ii)K = ½mv^2+ma

Answer 1

Answer:

Rule out or accept the following formulae for K.E. on the basis of dimensional arguments. (i) K=3/16 mv 2 (ii) k= ½ mv 2 + ma (iii) k= ½ mv 2. Answer every correct formula or equation must have. also , only quantities with the same physical dimensions can be added or subracted .

Answer 2

Answer:

Dimensions of K.E.= [ML2T-2] Dimensions of  3 16 m v 2 316mv2 = [M][LT-1]2 = [ML2T-2] Dimensions of  1 2 m v 2 + m a 12mv2+ma = [ML2T-2] + [MLT-2] So, (ii) formula is incorrect as its dimensions are different from the dimensions of kinetic energy.

~im skittle chan