A simple pendulum oscillating in air has period T. The bob is completely immersed in a non-viscous liquid whose density is 1/16 of the bob material. If the bob remains inside the liquid, its period is:
Options

Question

A simple pendulum oscillating in air has period T. The bob is completely immersed in a non-viscous liquid whose density is 1/16 of the bob material. If the bob remains inside the liquid, its period is:

Options

G1 Physics · Accepted Answer

The liquid density is 1/16 of the bob-material density, so buoyancy reduces effective gravity to g′=(15/16)g. Hence T′=2π√(l/g′)=T√(16/15)=4T/√15. Correct option: 1.