Physics And Measurement Question 143
Question: 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?
[Orissa JEE 2002]
Options:
A) $ M{{L}^{-1}}{{T}^{-1}} $
B) $ ML{{T}^{-1}} $
C) $ M^{0}L{{T}^{-1}} $
D) $ ML^{0}{{T}^{-1}} $
Show Answer
Answer:
Correct Answer: D
Solution:
$ F\propto v\Rightarrow F=kv\Rightarrow [k]=[ \frac{F}{v} ]=[ \frac{ML{{T}^{-2}}}{L{{T}^{-1}}} ]=[M{{T}^{-1}}] $