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}}] $