Q. In C.G.S. system the magnitude of the force is $100\ dyne$. In another system where fundamental physical quantities are kilogram, $metre$ and minute, the magnitude of the force is

A) 0.036
B) 0.36
C) 3.6
D) 36
Explanation

$n_{2} = n_{1}\left( \frac{M_{1}}{M_{2}} \right)^{1}\left( \frac{L_{1}}{L_{2}} \right)^{1}\left( \frac{T}{T_{2}} \right)^{- 2}$ $= \ 100\left( \frac{gm}{kg} \right)^{1}\left( \frac{cm}{m} \right)^{1}\left( \frac{\sec}{\min} \right)^{- 2}$ $= 100\left( \frac{gm}{10^{3}gm} \right)^{1}\left( \frac{cm}{10^{2}cm} \right)^{1}\left( \frac{\sec}{60\ \sec} \right)^{- 2}$ $n_{2} = \ \frac{3600}{10^{3}} = 3.6$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.