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}} $

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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}}] $



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