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JEE Mains 05-Sep-2020 Shift 2 Solved Paper
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© examsnet.com
Question : 13
Total: 75
In an experiment to verify Stokes law, a small spherical ball of radius
r
and density
rho
falls under gravity through a distance
h
in air before entering a tank of water. If the terminal velocity of the ball inside water is same as its velocity just before entering the water surface, then the value of h is proportional to :
(ignore viscosity of air)
r
r
4
r
3
r
2
Validate
Solution:
After falling through h, the velocity be equal to terminal velocity
√
2
g
h
=
2
9
r
2
g
η
(
ρ
l
−
ρ
)
⇒
h
=
2
81
r
4
g
(
ρ
l
−
ρ
)
2
η
2
⇒
h
∝
r
4
© examsnet.com
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