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Properties of Matter question

2016 · 9 Apr · Shift 1 · Q51
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Properties of Matter question

2016 · 9 Apr · Shift 1 · Q51

JEE MainPhysicsProperties of MatterMCQ+4 / −1
A uniformly tapering conical wire is made from a material of Young’s modulus Y and has a normal, unextended length L. The radii, at the upper and lower ends of this conical wire, have values R and 3 R, respectively. The upper end of the wire is fixed to a rigid support and a mass M is suspended from its lower end. The equilibrium extended length, of this wire, would equal :
  1. A
    L (1+29MgπYR2)\left( {1 + {2 \over 9}{{Mg} \over {\pi Y{R^2}}}} \right)(1+92​πYR2Mg​)
  2. B
    L (1+13MgπYR2)\left( {1 + {1 \over 3}{{Mg} \over {\pi Y{R^2}}}} \right)(1+31​πYR2Mg​)
  3. C
    L (1+19MgπYR2)\left( {1 + {1 \over 9}{{Mg} \over {\pi Y{R^2}}}} \right)(1+91​πYR2Mg​)
  4. D
    L (1+23MgπYR2)\left( {1 + {2 \over 3}{{Mg} \over {\pi Y{R^2}}}} \right)(1+32​πYR2Mg​)
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