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Question

The bob of a simple pendulum executes simple harmonic motion in water with a period t, while the period of oscillation of the bob is t0 in air. Neglecting frictional force of water and given that the density of the bob is (43)1000kg/m3. What relationship between t and t0 is true?


A

t=t0

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B

t=4t0

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C

t=2t0

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D

t=t02

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Solution

The correct option is C

t=2t0


When immersed in water, effective value of g is g=(ρρwρ)g where ρ is density of object and ρw is that of water.
Now, tt0=2πlg2πlg=gg=ρρρw
Substituting values, we get t=2t0


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