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JEE Main20265 April 2026Morning ShiftPhysicsMechanical Properties of SolidsActual

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

Options

  1. Aincreases by two times
  2. Breduces by half
  3. Cremains unchanged
  4. Dbecomes one fourth

Correct answer

C. remains unchanged

Step-by-step solution

Young's modulus Y is an intrinsic property of the material of the wire. It depends only on the nature of the material and its temperature, and is independent of the dimensions of the wire such as length L and radius r . Therefore, when the radius and length of the steel wire are doubled, its Young's modulus remains unchanged. Answer: remains unchanged

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