Question

In a system of units, the units of force and energy are 10 N and 50 J respectively. What is the unit of length in this system?
A. 3 m
B. 5 m
C. 7 m
D. 10 m

Answer 1

Correct Answer - b
`[F]=[M^(1)L^(1)T^(-2)]=10N" ... (1)"`
`[E]=[M^(1)L^(2)T^(-2)]=50J" ... (2)"`
Dividing (2) by (1), we get
`([M^(1)L^(2)T^(-2)])/([M^(1)L^(1)T^(-2)])=[L]=(50J)/(10N)=(50Nm)/(10N)=5m`