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JEE Advanced 2014 Paper 2
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© examsnet.com
Question : 2
Total: 60
A glass capillary tube is of the shape of truncated cone with an apex angle
α
so that its two ends have cross sections of different radii. When dipped in water vertically, water rises in it to a height h, where the radius of its cross section is b. If the surface tension of water is S, its density is
ρ
, and its contact angle with glass is
θ
, the value of h will be (g is the acceleration due to gravity)
2
S
b
ρ
g
cos
(
θ
−
α
)
2
S
b
ρ
g
cos
(
θ
+
α
)
2
S
b
ρ
g
cos
(
θ
−
α
2
)
2
S
b
ρ
g
cos
(
θ
+
α
2
)
Validate
Solution:
If R be the meniscus radius
R cos
(
θ
+
α
2
)
= b
Excess pressure on concave side of meniscus =
2
S
R
h
ρ
g
=
2
S
R
=
2
S
b
cos
(
θ
+
α
2
)
⇒ h =
2
S
b
ρ
g
cos
(
θ
+
α
2
)
© examsnet.com
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