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 (a) increases by two times (b) reduces by half (c) remains unchanged (d) becomes one fourth

Answer: (c). Young's modulus is a property of the material only, not of the wire's dimensions. Changing r and L changes the elongation for a given load, but not Y. So the answer is (c) remains unchanged.

The Young's modulus of steel wire of radius r and length L is Y. If… | JEE Main 2026 (5 Apr, Shift 1)

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Young's Modulus & Elongation

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 $Y$

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Answer: (c)

Young's modulus is a property of the material only, not of the wire's dimensions.
Changing $r$ and $L$ changes the elongation for a given load, but not $Y$ .
So the answer is (c) remains unchanged.

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