In `CGS` system the magnitude of the force is 100 dynes. In another system where the fundamental phyical quamtities are kilogram , meter , and minute, find the magnitude of the force.

Options

A. 0.036
B. 0.36
C. 3.6
D. 36

Answer

C

Explanation

`n_2=n_1((M_1)/(M_2))^1((L_2)/(L_2))^1((T)/(T_2))^-2`
`=100((gm)/(kg))^1((cm)/(m))^1((sec)/(min))^-2`
`=100((gm)/10^3gm)^1((cm)/(10^2cm))^1((sec)/(60sec))^-2`
`n_2=(3600)/(10^3)=3.6`