Physics And Measurement Question 116

Question: The force $ F $ on a sphere of radius $ ‘a’ $ moving in a medium with velocity $ ‘v’ $ is given by $ F=6\pi \eta av $ . The dimensions of $ \eta $ are

[CBSE PMT 1997; DPMT 2000]

Options:

A) $ M{{L}^{-1}}{{T}^{-1}} $

B) $ M{{T}^{-1}} $

C) $ ML{{T}^{-2}} $

D) $ M{{L}^{-3}} $

Show Answer

Answer:

Correct Answer: A

Solution:

$ \eta =\frac{F}{av}=\frac{[ML{{T}^{-2}}]}{[L][L{{T}^{-1}}]}=[M{{L}^{-1}}{{T}^{-1}}] $



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