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Question
Physics
An isolated and charged spherical soap bubble has a radius r and the pressure inside is atmospheric. If T is the surface tension of soap solution, then charge on drop is X π r √2 r T ε0 then find the value of X.
Q. An isolated and charged spherical soap bubble has a radius
r
and the pressure inside is atmospheric. If
T
is the surface tension of soap solution, then charge on drop is
X
π
r
2
r
T
ε
0
then find the value of
X
.
44
102
Mechanical Properties of Fluids
Report Error
A
8
B
9
C
7
D
2
Solution:
Inside pressure must be
r
4
T
greater than outside pressure in bubble.
This excess pressure is provided by charge on bubble.
r
4
T
=
2
ε
0
σ
2
;
r
4
T
=
16
π
2
r
4
×
2
ε
0
Q
2
[
σ
=
4
π
r
2
Q
]
Q
=
8
π
r
2
r
T
ε
0