1.Units, Dimensions and Measurement
medium

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

A$M{L^{ - 1}}{T^{ - 1}}$
B$M{T^{ - 1}}$
C$ML{T^{ - 2}}$
D$M{L^{ - 3}}$

Solution

(a) $\eta = \frac{F}{{av}} = \frac{{[ML{T^{ – 2}}]}}{{[L]\,[L{T^{ – 1}}]}} = [M{L^{ – 1}}{T^{ – 1}}]$
Standard 11
Physics

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