Physical World Units And Measurements Ques 17

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

[1997]

(a) $[ML^{-3}]$

(c) $[ML^{-1}]$

(b) $[ML^{-2}]$

(d) $[ML^{-1} T^{-1}]$

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Answer:

Correct Answer: 17.(d)

Solution:

  1. (d) $F=6 \pi \eta a v$

$ \eta=\frac{F}{6 \pi a v}=\frac{[MLT^{-2}]}{[L][LT^{-1}]}=[ML^{-1} T^{-1}] $