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CGPET 2018 Solved Paper
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© examsnet.com
Question : 23
Total: 150
Water rises up in a glass capillary upto a height of
9
c
m
, while mercury falls down by
3.4
c
m
in the same capillary. Assume the angles of contact for water-glass and mercury-glass are
0
°
and
135
°
, respectively. The ratio of surface tensions of mercury and water is (Take,
cos
135
°
=
−
0.71
)
8.1
:
1
3.6
:
1
7.2
:
1
8.9
:
1
Validate
Solution:
We know that,
T
=
r
h
ρ
g
2
cos
θ
For water,
T
w
=
r
h
w
ρ
w
g
2
cos
θ
w
For mercury,
T
m
=
r
h
n
ρ
m
g
2
cos
θ
m
∴
T
m
T
w
=
(
h
m
h
w
)
(
ρ
m
ρ
w
)
(
cos
θ
w
cos
θ
m
)
=
(
−
3.4
×
10
−
2
9
×
10
−
2
)
(
13.6
×
10
3
10
3
)
(
cos
0
°
cos
135
°
)
or
T
m
T
w
=
7.2
1
or
T
m
:
T
w
=
7.2
:
1
© examsnet.com
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