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AP EAMCET20224 Jul 2022Morning ShiftPhysicsMechanical Properties of SolidsActual

Same tension is applied to the following four wires made of same material. The elongation is longest in

Options

  1. AWire of length 50   cm and diameter 0 . 5   mm
  2. BWire of length 200   cm and diameter 2   mm
  3. CWire of length 300   cm and diameter 3   mm
  4. DWire of length 100   cm and diameter 1   mm

Correct answer

A. Wire of length 50   cm and diameter 0 . 5   mm

Step-by-step solution

The Young's modulus ( E ) is a property of the material that tells us how easily it can stretch and deform and is defined as the ratio of tensile stress ( σ ) to tensile strain ( ε ) . Y = F A d l l ⇒ d l = l π d 2 × 4 F Y As in our case, value of 4 F Y will be constant. Therefore, for maximum elongation, value of l π d 2 should be maximum. Hence, for l = 50   cm and d = 0 . 5   mm elongation will be maximum.

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