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JEE Main Physics Class 12 Electrostatic Potential and Capacitance Part 1 Questions
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© examsnet.com
Question : 78
Total: 100
Statement 1:
It is not possible to make a sphere of capacity 1 farad using a conducting material.
Statement 2:
It is possible for earth as its radius is
6.4
×
10
6
m.
[Online May 26, 2012]
Statement 1 is true, Statement 2 is true, Statement 2 isthe correct explanation of Statement 1.
Statement 1 is false, Statement 2 is true.
Statement 1 is true, Statement 2 is true, Statement 2 isnot the correct explanation of Statement 1.
Statement 1 is true, Statement 2 is false.
Validate
Solution:
Capacitance of sphere is given by :
C
=
4
π
∈
0
r
If,
C
=
1
F
then radius of sphere needed:
r
=
C
4
π
∈
0
=
1
4
π
×
8.85
×
10
−
12
or,
r
=
10
12
4
π
×
8.85
=
9
×
10
9
m
9
×
10
9
m
is very large, it is not possible to obtain such a large sphere. Infact earth has radius
6.4
×
10
6
m
only and capacitance of earth is
711
µ
F
.
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