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JEE Advanced 2015 Paper 1
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© examsnet.com
Question : 14
Total: 60
The figure below depict two situations in which infinitely long static line charges of positive line charge density
λ
are kept parallel to each other.In their resulting electric field,point charge
q
and
−
q
are kept in equilibrium between them.The point charges are confused to move in the x-direction only.If they are given a small displacement about their equilibrium position,then the correct statements(s) is (are )
Both charges execute simple harmonic motion.
Both charges will continue moving in the direction of their distance
Charge
+
q
executes simple harmonic motion while charge
−
q
continues movies in the direction of its displacements
Charge
−
q
executes simple harmonic motion while charge
+
q
continues movies in the direction of its displacements
Validate
Solution:
In Case 1:
→
F
=
λ
q
2
π
ε
0
(
r
+
x
)
∧
i
+
λ
q
2
π
ε
0
(
r
−
x
)
∧
(
−
i
)
=
λ
q
π
ε
0
r
2
x
∧
(
−
i
)
Hence
+
q
,charge will perform SHM with time period
T
=
2
π
√
π
r
2
ε
0
m
λ
q
In Case 2:
Resultaant force willl act alonf the direction of displacement
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