In a particular system the units of length, mass and time are chosen to be `10 cm, 10 g` and `0.1 s` respectively. The unit of force in this system will be equal to

Options

A. 0.1 N
B. 1 N
C. 10 N
D. 100 N

Answer

A

Explanation

`because ` [ force] = `[MLT^(-2)]`
`therefore` Unit of force = `(10 g) (10 cm) (0.1 s)^(-2)`
`" "= (10xx 10^(-3) kg)(10 xx 10^(-2) m) (10^(-1)s)^(-2)`
`" "= 0.1 kgms^(-2)`
`" " = 0.1 N`