A simple pendulum oscillating in air has period T . The bob of the pendulum is completely immersed in a non-viscous liquid. The density of the liquid is 1 16 t h of the material of the bob. If the bob

Question

A simple pendulum oscillating in air has period T . The bob of the pendulum is completely immersed in a non-viscous liquid. The density of the liquid is 1 16 t h of the material of the bob. If the bob is inside liquid all the time, its period of oscillation in this liquid is:

TestHub · Accepted Answer

Let the density of bob is σ & density of liquid is σ 16 . Now, Net downward force on bob = Weight - Buoyancy = σ V g - σ 16 V g = 15 16 σ V g Net effective gravitational acceleration = 15 16 σ V g σ V = 15 16 g Time period T = 2 π l g e f f = 2 π l 15 16 g = 2 π 16 15 l g = 16 15 ∙ 2 π l g = 4 15 T = 4 T 1 15

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