Which one of the following gives the dimensional formula of coefficient of friction?

Options

A. `[MLT^(-2)]`
B. `[M^(2)LT^(-2)]`
C. `[M^(0)L^(0)T^(0)]`
D. `[M^(2)LT]`

Answer

C

Explanation

Coefficient of friction = `("Frictional force")/("Normal reaction")=(F)/(R )`
`therefore [mu]=[(F)/(R)]=[(M^(1)L^(1)T^(-2))/(M^(1)L^(1)T^(-2))]=[M^(0)L^(0)T^(0)]`
Normal reaction is also a force.
`mu` is a dimensionless quantity.