First slide

Fluid statics

Question

A solid ball of volume V is dropped into a viscous liquid. It experiences a viscous drag equal to F. If a solid ball of volume 2 V and of the same material is dropped into the same liquid, the viscous drag will be

Easy

A

F
B

2F
C

4 F
D

8 F

Solution

We know that
Viscous drag + Buoyancy = weight of the ball
$F + Vσg = Vρg and F^{'} + 2 Vσg = 2 Vρg From eqs . (i) and (ii), we get F' = 2 F$

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