one hundred twenty five small liquid
drops, each carrying a charge of
0.5 uC and each of diameter 0.1 m form
a bigger drop. Calculate the potential at
the surface of the bigger drop.
[Ans: 2.25 x 10 V)
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my correct answer is 2.25x10v
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PHYSICS
64 spherical drops each of radius 2 cm and carrying 5 C charge combine to form a bigger drop. Its capacity is:
ANSWER
Let Q be the charge on each drop
⇒ Voltage on each drop: V=
r
KQ
We know: C=
V
Q
or, C=
KQ
Qr
or, C=
k
r
Equating the sum of volume of drops to the volume of bigger drop:
64×
3
4
πr
3
=
3
4
πR
3
So, radius of final drop: R=(64)
3
1
r=4r
∴C
′
=
K
R
=
9×10
9
4×2×10
−2
=
9
8
×10
−11
F
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