In a particular measurement system, the units of length, mass and time are chosen as 10 cm, 10 g and 0.1 s respectively. What is the unit of force in this system in terms of the units in SI system?

Options

A. 0.1 N
B. 1 N
C. 0.5 N
D. 5 N

Answer

a

Explanation

Unit of M = 10 g, unit of length = 10 cm and unit of time 0.1 s. `because F` = mass `xx` acceleration
`therefore` Unit of force in the given system is given by
`F=(10g)xx(10cm)xx(0.1s)^(-2)` and in terms of SI system, the unit of force will be `=(10^(-2)kg)(10^(-1)m)(10^(-1)s)^(-2)`
`=(10^(-3)kgm)/(10^(-2)s^(2))=10^(-1)kgm//s^(2)=10^(-1)N=0.1N`