Q. An object is moving through the liquid. The viscous damping force acting on it is proportional to the velocity. Then dimension of constant of proportionality is
A) $ML^{- 1}T^{- 1}$
B) $MLT^{- 1}$
C) $M^{0}LT^{- 1}$
D) $ML^{0}T^{- 1}$
Explanation
$F \propto v\ \Rightarrow F = kv\ \Rightarrow \lbrack k\rbrack = \left\lbrack \frac{F}{v} \right\rbrack = \left\lbrack \frac{MLT^{2}}{LT^{- 1}} \right\rbrack = \lbrack MT^{- 1}\rbrack$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.