The pressure that has to be applied to the ends of a steel wire of length 10   cm to keep its length…

The pressure that has to be applied to the ends of a steel wire of length 10 cm to keep its length constant when its temperature is raised by 100 °C is :
(For steel, Young's modulus is 2×1011 N m-2 and coefficient of thermal expansion is 1.1×10-5 K-1)
  1. 2.2×108 Pa
  2. 2.2×109 Pa
  3. 2.2×107 Pa
  4. 2.2×106 Pa

Solution

Young's modulus, Y=FALΔL

FA=YΔLL=YαΔT

P=2×​ 1011×1.1×10-5×102

 P=2.2×108 Pa

Asked in: JEE Main 2014 (06 Apr)

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