If force F , length L and time T be considered fundamental units, then the units of mass will be

Step-by-step solution

Let M ∝ F a L b T c Writing dimensions on both sides and using the principle of homogeneity of dimensions we have, M 1 L 0 T 0 = k M L T - 2 a L b T c On comparing the power on both sides we get a = 1 , a + b = 0 and - 2 a + c = 0 On solving we have b = - 1 , c = 2 , a = 1 ∴ units of mass is F L - 1 T 2