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The length of a wire increase by 8mm whe...

The length of a wire increase by 8mm when a weight of 5 kg is hung. If all conditions are the same but the radius of the wire is doubled, find the increase in length.

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To solve the problem step by step, we will use the concept of Young's modulus and the relationship between stress, strain, and elongation of the wire. ### Step 1: Understand the given data - Initial elongation (ΔL) = 8 mm = 8 × 10⁻³ m - Weight hung (W) = 5 kg = 50 N (since W = mg, where g = 10 m/s²) - Let the original length of the wire be L and the original radius be r. ### Step 2: Write the formula for elongation ...
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