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AP EAMCET Engineering 22 Apr 2019 Shift 1 Paper
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© examsnet.com
Question : 94
Total: 160
A rain drop of radius r is falling through air. starting from rest. The work done by all the forces 011 the drop, when it attains terminal velocity, is proportional to
r
3
r
7
r
5
r
4
Validate
Solution:
The initial velocity of rain drop will be zero, so u = 0.
The expression of the final velocity of rain drop is,
v
=
2
g
r
2
(
ρ
−
σ
)
9
η
By work energy theorem,
W
=
1
2
m
v
2
−
1
2
m
u
2
W
=
1
2
m
v
2
−
1
2
m
(
0
)
2
W
=
1
2
(
ρ
V
)
v
2
W
=
1
2
ρ
(
4
3
π
r
3
)
v
2
Substitute the value of v in the above expression.
W
=
1
2
ρ
(
4
3
π
r
3
)
[
2
g
r
2
(
ρ
−
σ
)
2
9
η
]
2
W
∝
r
7
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