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JEE Main Physics Class 11 System of Particles and Rotational Motion Part 1 Questions
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© examsnet.com
Question : 2
Total: 100
A long cylindrical vessel is half filled with a liquid. When the vessel is rotated about its own vertical axis, the liquid rises up near the wall. If the radius of vessel is
5
c
m
and its rotational speed is 2 rotations per second, then the difference in the heights between the centre and the sides, in
c
m
, will be :
[12 Jan. 2019 II]
2.0
0.1
0.4
1.2
Validate
Solution:
Using
v
2
=
u
2
+
2
g
y
[
∴
u
=
0
at
(
0
,
0
)
]
v
2
=
2
g
y
[
∴
v
=
ω
x
]
⇒
y
=
ω
2
x
2
2
g
=
(
2
×
2
π
)
2
×
(
0.05
)
2
20
≃
2
c
m
© examsnet.com
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