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JEE Mains · Physics · STD 11- 8. mechanical properties of solids

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 \(Y\)

  1. A increases by two times
  2. B reduces by half
  3. C remains unchanged
  4. D becomes one fourth
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Answer & Solution

Correct Answer

(C) remains unchanged

Step-by-step Solution

Detailed explanation

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…
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