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Test Index
Electrostatics Part 3
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Section:
Physics
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© examsnet.com
Question : 7 of 80
Marks:
+1
,
-0
Two metal plates (A,B) are kept horizontally with separation of
(
12
π
)
\left(\;\frac{12}{\pi}\right)
(
π
12
)
cm, with plate A on the top. An atomizer jet sprays oil (density
1.5
g
/
c
m
3
1.5\,\mathrm{g/cm}^3
1.5
g/cm
3
) droplets of radius 1mm horizontally. All oil droplets carry a charge 5 nC. The potentials
V
A
V_{A}
V
A
and
V
B
V_{B}
V
B
are required on plates A and B respectively in order to ensure the droplets do not descend. The values of
V
A
V_{A}
V
A
and
V
B
V_{B}
V
B
are _______.
(Neglect the air resistance to the droplets and take
g
=
10
m
/
s
2
g = 10\,\mathrm{m/s}^2
g
=
10
m/s
2
)
[JEE Main 2 apr 2026 Shift 2]
100 V and 580 V
580 V and 100 V
60 V and 400 V
0 V and -200 V
Validate
Solution:
Δ
V
(
12
/
π
)
×
1
0
−
2
×
5
×
1
0
−
9
=
4
3
π
(
r
3
)
ρ
(
g
)
\;\frac{\Delta V}{(12/\pi) \times 10^{-2}} \times 5 \times 10^{-9} = \;\frac{4}{3} \pi (r^{3}) \rho(g)
(
12/
π
)
×
1
0
−
2
Δ
V
×
5
×
1
0
−
9
=
3
4
π
(
r
3
)
ρ
(
g
)
Δ
V
×
5
×
1
0
−
7
=
16
(
r
3
)
ρ
(
g
)
\Delta V \times 5 \times 10^{-7} = 16 (r^{3}) \rho(g)
Δ
V
×
5
×
1
0
−
7
=
16
(
r
3
)
ρ
(
g
)
Δ
V
=
480
,
V
A
<
V
B
\Delta V = 480, V_A < V_B
Δ
V
=
480
,
V
A
<
V
B
Plate A will be lower potential
© examsnet.com
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