The viscous force acting on a body moving through a liquid is proportional to its velocity. What is the dimensional formula for the constant of proportional to its velocity. What is the dimensional formula for the constant of proportionality?

Options

A. `[M^(1)L^(1)T^(-1)]`
B. `[M^(1)L^(1)T^(-2)]`
C. `[M^(1)L^(0)T^(-1)]`
D. `[M^(0)L^(1)T^(-1)]`

Answer

c

Explanation

`Fpropv therefore F=kv or k=(F)/(v)`
`therefore [k]=[(M^(1)L^(1)T^(-2))/(L^(1)T^(-1))]=[M^(1)L^(0)T^(-1)]`