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Electrostatics
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Section:
Physics
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Question : 3 of 61
Marks:
+1
,
-0
A positive point charge of
1
0
−
8
C
10^{-8} C
1
0
−
8
C
is kept at a distance of 20 cm from the center of a neutral conducting sphere of radius 10 cm . The sphere is then grounded and the charge on the sphere is measured. The grounding is then removed and subsequently the point charge is moved by a distance of 10 cm further away from the center of the sphere along the radial direction. Taking
  
1
4
Ï€
ε
0
=
9
×
1
0
9
 
N
m
2
/
C
2
\; \frac{1}{4\pi \varepsilon_0} = 9 \times 10^9 \, \mathrm{Nm^2/C^2}
4
Ï€
ε
0
​
1
​
=
9
×
1
0
9
N
m
2
/
C
2
(where
ε
0
\varepsilon_0
ε
0
​
is the permittivity of free space), which of the following statements is/are correct?
[JEE Adv 2025 P2]
Before the grounding, the electrostatic potential of the sphere is 450 V .
Charge flowing from the sphere to the ground because of grounding is
5
×
1
0
−
9
C
5 \times 10^{-9} C
5
×
1
0
−
9
C
.
After the grounding is removed, the charge on the sphere is
−
5
×
1
0
−
9
C
-5 \times 10^{-9} C
−
5
×
1
0
−
9
C
.
The final electrostatic potential of the sphere is 300 V .
Validate
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