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JEE Advanced 2020 Full Test 7 Paper 2
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© examsnet.com
Question : 4
Total: 54
An infinite non conducting sheet having charge density
σ
and there is a small hole as shown in figure and there is rod of length
λ
having linear charge density
λ
and hinged in the hole as shown. If the mass of rod is
m
then time period of oscillation for small angular displacement
π
√
m
E
0
3
σ
λ
2
π
√
2
m
∈
0
3
σ
λ
π
2
√
m
E
0
3
σ
λ
None of these
Validate
Solution:
τ
=
I
α
λ
ℓ
×
E
2
×
ℓ
2
sin
θ
=
M
ℓ
2
12
×
α
α
=
−
3
λ
E
M
θ
ω
=
√
3
λ
E
m
T
=
2
π
√
m
√
3
λ
E
=
2
π
√
m
×
2
E
0
3
λ
σ
© examsnet.com
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