The Young's modulus of a wire of length L and radius r is Y N/m². If the length and radius are reduced to L/3 and r/4, then its Young's modulus will be

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Navik GD Physics 22 March 2021 (Shift 3) Questions

Answer 1

CONCEPT:

Linear strain: If the deforming force produces a change in length alone, the strain produced in the body is called linear strain or tensile strain.

Stress: The internal restoring force acting per unit area of cross-section of the deformed body is called stress

Young's Modulus (Y): It is defined as the ratio of normal stress to longitudinal strain within the limit of proportionality.

EXPLANATION:

Its value depends upon the nature of the material of the body and the manner in which the body is deformed.
Its value depends upon the temperature of the body.
Its value is independent of the dimensions (length, radius, volume, etc.) of the body.
As we know young's modulus of elasticity is a material's property. Therefore, Young's modulus does not depend upon the length of the radius of the wire. It is constant for the material.

So, the required Young's modulus is Y.