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Physics Question 31 – JEE-MAIN 2026

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The Young's modulus of steel wire of radius r and length L is Y. If the radius r and length L of the wire are doubled then the value of Y

Young's modulus is an intrinsic property of a material.

Step 1: Understand Young's Modulus✦ Active

Young's modulus (Y) is a measure of the stiffness of an elastic material. It is an intrinsic property of the material itself, representing its resistance to elastic deformation under stress.

Step 2: Identify Dependence Factors○ Expand

Young's modulus depends only on the nature of the material (e.g., steel, copper) and its temperature. It does not depend on the geometric dimensions of the sample, such as its length (L) or radius (r). These dimensions affect the total force required to produce a certain extension, but not the material's inherent modulus.

Step 3: Conclude the Effect of Changing Dimensions○ Expand

Since Young's modulus is an intrinsic property of the steel material, doubling the radius r and length L of the wire will not change the value of its Young's modulus Y. It remains unchanged.

💡 Teacher's Secret Hint

Remember that Young's modulus is a material constant, not a geometric one.

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