A slightly conical wire of length L and end radii r 1 and r 2 is stretched by two forces…

Physics · JEE Advanced · NTA ExamsProperties of Solids and Liquids

A slightly conical wire of length L and end radii r1 and r2 is stretched by two forces F, F applied parallel to length in opposite directions and normal to end faces. If Y denotes the Young’s modulus, then extension produced is
  1. \(\frac{F L}{\pi r_{1}^{2} Y}\)
  2. \(\frac{F L}{\pi r_{1} Y}\)
  3. \(\frac{F L}{\pi r_{1} r_{2} Y}\)
  4. \(\frac{F L Y}{\pi r_{1} r_{2}}\)

Answer

(C) F L r_ 1 r_ 2 Y

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