SATHEE: Physics And Measurement Question 116

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 $F = 6 π η a v$ . The dimensions of $η$ are

[CBSE PMT 1997; DPMT 2000]

Options:

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

B) $M T^{- 1}$

C) $M L T^{- 2}$

D) $M L^{- 3}$

Show Answer

Answer:

Correct Answer: A

Solution:

$η = \frac{F}{a v} = \frac{[M L T^{- 2}]}{[L] [L T^{- 1}]} = [M L^{- 1} T^{- 1}]$

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