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The time period of a simple pendulum is
Question
The time period of a simple pendulum is air is
T
. Now the pendulum is submerged in a liquid of density
1
6
ρ
where
ρ
is density of the bob of the pendulum. The new time period of oscillation is.
A
1
5
4
T
B
1
5
4
T
C
4
1
5
T
D
4
1
5
T
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Updated on : 2022-09-05
Solution
Verified by Toppr
Correct option is A)
T
=
2
π
g
ℓ
τ
=
I
α
(
ρ
V
g
−
1
6
ρ
V
g
)
ℓ
sin
θ
=
(
ρ
V
)
ℓ
2
α
1
6
ℓ
1
5
g
θ
=
α
ω
=
1
6
ℓ
1
5
g
⇒
T
′
=
2
π
1
5
g
1
6
ℓ
T
′
=
1
5
4
T
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