A simple pendulum oscillating in air has a period of 3 s . If it is completely immersed in non-viscous liquid, having density ( 4 1 ) th of the material of the bob, the new period will beNEET 2023

Question

A simple pendulum oscillating in air has a period of 3 ​ s . If it is completely immersed in non-viscous liquid, having density ( 4 1 ​ ) th of the material of the bob, the new period will beNEET 2023 (Manipur)

TestHub · Accepted Answer

Time period of simple pendulum ​ T = 2 π g eff ​ l ​ ​ 3 ​ = 2 π g l ​ ​ ​ After immersed in liquid ​ M g eff ​ = M g − ρ l ​ ρ s ​ ​ M g ​ M g eff ​ = M g − 4 M g ​ = 4 3 M g ​ g eff ​ = 4 3 g ​ T 1 ​ = 2 π 3 g l ​ ​ = ( 2 π g I ​ ​ ) × 3 ​ 2 ​ T 1 ​ = 3 ​ 2 T ​ = 2 s ​

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