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Modulus of Rigidity by Maxwell's Needle Method

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Modulus of Rigidity by Maxwell's Needle Method

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Questions and Answers

What is the objective of the experiment described?

To determine the modulus of rigidity of a wire using Maxwell's needle method.

What apparatus is used in the experiment?

Maxwell needle, stopwatch, screw gauge, meter scale

What formula is used to determine the modulus of rigidity?

η = (mS - mH)g(L/l)r^4 / 2π^2T1^2 + T2^2

How do you calculate the radius of the wire?

Measure the diameter of the wire using a screw gauge and halve the value. Signup and view all the answers

What is the purpose of determining the least count and zero error of the screw gauge?

To ensure accurate measurements of the wire's radius. Signup and view all the answers

What is the significance of measuring the time for 10, 20, and 30 oscillations?

To find the mean time period (T1) of oscillation when solid masses are outside. Signup and view all the answers

Why is it important to repeat the oscillation measurements with the cylinders arranged in reverse?

To find the mean time period (T2) of oscillation with a different configuration. Signup and view all the answers

What precaution should be taken regarding the wire during the experiment?

There should be no kink in the wire. Signup and view all the answers

How are the mass values of the cylinders used in the experiment?

The mass of solid cylinders is halved to get mS, and the mass of hollow cylinders is halved to get mH. Signup and view all the answers

Study Notes

Objective and Apparatus

The objective of the experiment is to determine the modulus of rigidity of a given wire.
The apparatus used in the experiment includes a screw gauge.

Calculations and Formulas

The modulus of rigidity is calculated using the formula: η = (2πlT)/(πr^4) where η is the modulus of rigidity, l is the length of the wire, T is the tension in the wire, and r is the radius of the wire.
The radius of the wire is calculated using the screw gauge measurements.

Measurement and Error

The purpose of determining the least count and zero error of the screw gauge is to ensure accurate measurements.
Measuring the time for 10, 20, and 30 oscillations is done to increase the accuracy of the results.
The oscillation measurements are repeated with the cylinders arranged in reverse to minimize any errors due to the arrangement of the cylinders.

Precautions and Data Usage

The wire should be handled carefully to prevent damage or deformation during the experiment.
The mass values of the cylinders are used to calculate the tension in the wire, which is necessary for the modulus of rigidity calculation.

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Description

This quiz focuses on determining the modulus of rigidity of a given wire using the dynamical method known as Maxwell's Needle. It includes information on the apparatus used and the formula for calculating the modulus of rigidity based on various parameters.