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KVPY SA Exam 19-Nov-2017 Question Paper
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© examsnet.com
Question : 29
Total: 80
A long cylindrical pipe of radius 20 cm is closed at its upper end and has an airtight piston of negligible mass as shown. When a 50 Kg mass is attached to the other end of the pistion, it moves down by a distance
∆
l
before coming to equilibrium. Assuming air to be an ideal gas,
∆
l
L
(see figure) is close to (g = 10 ms
2
, atmospheric pressure is 10
5
Pascal),
0.01
0.02
0.04
0.09
Validate
Solution:
Process is isothermal
P
1
V
1
=
P
2
V
2
(
P
0
)
(
A
)
(
l
)
⇒
P
A
(
l
+
∆
l
)
P
final
⇒
P
0
A
l
A
(
l
+
∆
l
)
⇒
P
0
l
l
+
∆
l
By force equilibrium
(
P
0
−
P
)
A
⇒
m
g
(
P
0
−
P
0
l
l
+
∆
l
)
A = mg
∆
l
l
≈
0.04
© examsnet.com
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