Exams Net
Unrestricted Exams Practice
Home
Exams
Banking
CUET
Defence
Engineering
Finance
GATE
Insurance
International
JEE
LAW
MBA
MCA
Medical
Other
Police
PSC
RRB
SSC
State Govt
Subjectwise
Teacher
SET Exams
UPSC
Aptitude
Algebra and Higher Mathematics
Arithmetic
Commercial Mathematics
Data Based Mathematics
Geometry and Mensuration
Number System and Numeracy
Problem Solving
Board Exams
Andhra
Bihar
CBSE
Gujarat
Haryana
ICSE
Jammu and Kashmir
Karnataka
Kerala
Madhya Pradesh
Maharashtra
Odisha
Tamil Nadu
Telangana
Uttar Pradesh
English
Competitive English
CBSE
CBSE Class 10 Solutions
CBSE Class 12 Solutions
CBSE Question Papers (Pdf)
NCERT Books (Pdf)
NCERT Exemplar Books (Pdf)
NCERT Study Notes (Pdf)
CBSE Study Concepts (Pdf)
NCERT Text Book Class 11 Solutions
NCERT Text Book Class 12 Solutions
ICSE Class 10 Papers
Certifications
Technical
Cloud Tech Certifications
Security Tech Certifications
Management
IT Infrastructure
More
About
Contact Us
Our Apps
Privacy
+
-
Test Index
Electrostatics
Show Para
Hide Para
Section:
Physics
Share question:
© examsnet.com
Question : 32 of 61
Marks:
+1
,
-0
The figure below depict two situations in which infinitely long static line charges of positive line charge density
λ
\lambda
λ
are kept parallel to each other.In their resulting electric field,point charge
q
and
−
q
q \text{ and } -q
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 )
[JEE Adv 2015 P1]
Both charges execute simple harmonic motion.
Both charges will continue moving in the direction of their distance
Charge
+
q
+q
+
q
executes simple harmonic motion while charge
−
q
-q
−
q
continues movies in the direction of its displacements
Charge
−
q
-q
−
q
executes simple harmonic motion while charge
+
q
+q
+
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
^
\vec{F} = \frac{\lambda q}{2\pi \varepsilon_0 (r+x)} \hat{i} + \frac{\lambda q}{2\pi \varepsilon_0 (r-x)} \widehat{-i} = \frac{\lambda q}{\pi \varepsilon_0 r^2} x \widehat{-i}
F
=
2
π
ε
0
(
r
+
x
)
λ
q
i
^
+
2
π
ε
0
(
r
−
x
)
λ
q
−
i
=
π
ε
0
r
2
λ
q
x
−
i
Hence
+
q
+q
+
q
,charge will perform SHM with time period
T
=
2
π
π
r
2
ε
0
m
λ
q
T=2\pi \sqrt{ \frac{ \pi r^2 \varepsilon_0 m }{ \lambda q } }
T
=
2
π
λ
q
π
r
2
ε
0
m
In Case 2:
Resultaant force willl act alonf the direction of displacement
© examsnet.com
Go to Question:
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
Prev Question
Next Question
More Free Exams
AIEEE Previous Papers
BITSAT Exam Previous Papers
JEE Advanced Model Papers
JEE Advanced Previous Papers
JEE Main
JEE Main PYQ
JEE Mains Model Papers
VITEEE Previous Papers