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JEE Advanced 2018 Question Paper 2 with solutions for online practice
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© examsnet.com
Question : 2
Total: 54
Consider a thin square plate floating on a viscous liquid in a large tank. The height h of the liquid in the tank is much less than the width of the tank. The floating plate is pulled horizontally with a constant velocity
u
0
. Which of the following statements is (are) true?
The resistive force of liquid on the plate is inversely proportional to h
The resistive force of liquid on the plate is independent of the area of the plate
The tangential (shear) stress on the floor of the tank increases with
u
0
The tangential (shear) stress on the plate varies linearly with the viscosity η of the liquid
Validate
Solution:
viscous force is given by
F
=
−
η
A
d
v
d
y
since h is very small therefore; magnitude of viscous force is given by
F
=
η
A
d
v
d
y
∴
F
=
η
A
u
0
h
⇒
F
∝
η
&
F
∝
u
0
∴
F
∝
1
h
,
F
∝
A
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