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Q.

The bob of a simple pendulum executes simple harmonic motion in water with a period r,while the period of oscillation of the bob is to in air. Neglecting frictional force of water and given that the density of the bob is 43×1000 kg/m3.What relationship between t and to is true?

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a

t = to

b

t=t02

c

t=2t0

d

t=4t0

answer is C.

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Detailed Solution

In water geff=g-Buoyant forceMass=g-ρωρb             t=2πlgeff=2πlg/4 ⇒     t=2 t0
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