A Thin Test Tube Is Partially Filled with Lead Pellets $\rho$

question 20

Multiple Choice

A thin test tube is partially filled with lead pellets so that it floats vertically in a fluid.Use Archimedes' Principle to calculate that if displaced slightly from its equilibrium position the test tube will undergo SHM in the vertical direction and derive how the time period is related to the density of the fluid.

• A)T proportional to \(\rho\)(liquid)
• B)T proportional to \(\rho\)(liquid)^1/2
• C)T proportional to \(\rho\)(liquid)²
• D)T proportional to \(\rho\)(liquid)^-2
• E)T proportional to \(\rho\)(liquid)^-1/2

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Definitions:

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A form of electromagnetic radiation visible to the human eye, responsible for the sense of sight.

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A state of consciousness during which an individual is alert and aware of their thoughts, feelings, and perceptions from the external world.

Altered State

Refers to a state of consciousness that is significantly different from a normative waking beta wave state, such as those induced by meditation, drugs, or hypnosis.

Preconscious State

A part of the mind that contains thoughts and feelings that are not currently in conscious awareness but can be accessed by attention.