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JEE Advanced 2015 Paper 2
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© examsnet.com
Question : 12
Total: 60
Consider a uniform spherical charge distribution of radius
R
1
centred at the origin O.In this distribution,a spherical cavity of radius
R
2
,centred at P with distance
O
P
=
a
=
R
1
−
R
2
(see figure)
is made if the electric field inside the cavity at position
→
r
is
→
E
(
→
r
)
,then the correct statement(s) is (are)
→
E
is uniform, its magnitude is independent of
R
2
but its direction depends on
→
r
→
E
is uniform, its magnitude depends of
R
2
and its direction depends on
→
r
→
E
is uniform, its magnitude is independent of
a
but its direction depends on
→
a
→
E
is uniform and both its magnitude and direction depends on
→
a
Validate
Solution:
→
E
=
ρ
3
ε
0
→
C
1
C
2
C
1
⇒
center of sphere and
C
2
⇒
center of cavity
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