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  4. The terminal velocity of a copper ball of radius 5 mm falling through a tank of oil at room temperature is 10 cm s -1. If the viscosity of oil at room temperature is 0.9 kg m -1 s -1, the viscous drag force is :

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Q. The terminal velocity of a copper ball of radius $5 \,mm$ falling through a tank of oil at room temperature is $10 cm s ^{-1}$. If the viscosity of oil at room temperature is $0.9 \,kg \,m ^{-1}\, s ^{-1}$, the viscous drag force is :

NEETNEET 2022Thermal Properties of Matter

Solution:

$F =6 \pi \eta rv $
$=6 \times 3.14 \times 0.9 \times 5 \times 10^{-3} \times 10 \times 10^{-2} $
$=847.8 \times 10^{-5} N $
$=8.48 \times 10^{-3} N $