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Question: Answered & Verified by Expert
A steel rail of length 5 m and area of cross section 40 cm2 is prevented from expanding along its length while the temperature rises by 10°C . If coefficient of linear expansion and Young's modulus of steel are 1.2×10-5  K-1 and 2×1011 N m-2 respectively, the force developed in the rail is approximately:
PhysicsThermal Properties of MatterJEE MainJEE Main 2017 (09 Apr Online)
Options:
  • A 2×107 N
  • B 2×109 N
  • C 3×10-5 N
  • D 1×105 N
Solution:
2970 Upvotes Verified Answer
The correct answer is: 1×105 N
F=YAαΔt

F=2×1011×40×10-4×1.2×10-5×10

F=9.6×1041×105 N.

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