Question

If the unit of force is 1kN, unit of length 1km and the unit of time is 100s, what will be the unit of mass?

(a) 1000 kg

(b) 10^4 kg

(c) 100 kg

(d) 10^5 kg

I have been asked this question in a national level competition.

Question is taken from Dimensions of a Physical Quantity in chapter Advanced Engineering Materials of Engineering Physics II

Answer 1

The correct option is (b) 10^4 kg

The explanation is: M = (MLT^(-2) T^2)/L = (FT^2)/L

M = (1000 N ×10^4 s^2)/(1000 m) = 10^4 kg.