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a spherical conducting shell of inner radius r and
Question:
A spherical conducting shell of inner radius r₁ and outer radius r₂ has a charge Q. A charge q is placed at the centre of the shell. The surface charge density on outer surface of the shell is:
CUET (UG) - 2023
CUET (UG)
Updated On:
Mar 27, 2025
\(\frac{Q+q}{4πr_2^2}\)
\(\frac{Q-q}{4πr_2^2}\)
\(\frac{Q+q}{4π(r_2^2-r_1^2)}\)
\(\frac{Q-q}{4π(r_2^2-r_1^2)}\)
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The Correct Option is
A
Solution and Explanation
The correct option is (A):
\(\frac{Q+q}{4πr_2^2}\)
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Top Questions on Current Density
A current flows through a cylindrical conductor of radius \( R \). The current density at a point in the conductor is \( j = \alpha r \) (along its axis), where \( \alpha \) is a constant and \( r \) is the distance from the axis of the conductor. The current flowing through the portion of the conductor from \( r = 0 \) to \( r = \frac{R}{2} \) is proportional to:
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Match List I with List II
LIST I
LIST II
A
.
Conductance
I
.
[ML
3
T
-3
A
-2
]
B
.
Current density
II
.
[M
-1
L
-3
T
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A
2
]
C
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Specific resistance
III
.
[M
0
L
-2
T
0
A¹]
D
.
Electrical conductivities
IV
.
[M
-1
L
-2
T
3
A
2
]
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