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If the length of a wire is made double and radius is halved of its respective values. Then, the Young’s modules of the material of the wire will: (1) Remains same (2) Become 8 times its initial value (3) Become 1/4th of its initial value (4) Become 4 times its initial value

1. Remains same
2. Become 8 times its initial value
3. Become 1/4th of its initial value
4. Become 4 times its initial value

Correct answer: Remains same

Solution

Young's modulus depends only on the material, not on the geometry of the specimen. Changing the wire's length or radius does not change its Young's modulus, so it remains the same.

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