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A simple pendulum vibrates in a non- viscous liquid. The densi

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A simple pendulum vibrates in a non- viscous liquid. The density of the liquid is $ρ /8$ , where $ρ$ is the density of the material of the bob. What is the time period if the time period of the pendulum in air is T.

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A simple pendulum vibrates in a non- viscous liquid. The density of the liquid is

ρ /8

, where

ρ

is the density of the material of the bob. What is the time period if the time period of the pendulum in air is T.

11 mins ago

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Text solutionVerified

As medium in non-viscous, damping is not present.
A buoyant force by liquid reduces apparent weight of bob.
In liquid,

g^{'} = \frac{ρ g}{g ^{'}} \Rightarrow

where

ρ^{'} = ρ /8

= \frac{ρ g}{ρ /8} = 8 g

as T = 2 π \frac{2}{g}, \frac{T ^{'}}{T} = \frac{g}{g ^{'}} = \frac{g}{8 g} \Rightarrow T^{'} = \frac{T}{2 2} (Reqd)

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Question Text	A simple pendulum vibrates in a non- viscous liquid. The density of the liquid is $ρ /8$ , where $ρ$ is the density of the material of the bob. What is the time period if the time period of the pendulum in air is T.
Topic	Mechanical Properties of Fluids
Subject	Physics
Class	Class 11
Answer Type	Text solution:1
Upvotes	95

A simple pendulum vibrates in a non- viscous liquid. The density of the liquid is $ρ /8$ , where $ρ$ is the density of the material of the bob. What is the time period if the time period of the pendulum in air is T.

Text solutionVerified

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A simple pendulum vibrates in a non- viscous liquid. The density of the liquid is ρ/8, where ρ is the density of the material of the bob. What is the time period if the time period of the pendulum in air is T.

Text solutionVerified

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A simple pendulum vibrates in a non- viscous liquid. The density of the liquid is $ρ /8$ , where $ρ$ is the density of the material of the bob. What is the time period if the time period of the pendulum in air is T.