A steel rail of length 5   m and area of cross section 40   cm 2 is prevented from expanding along…

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:
  1. 2×107 N
  2. 2×109 N
  3. 3×10-5 N
  4. 1×105 N

Solution

F=YAαΔt

⇒F=2×1011×40×10-4×1.2×10-5×10

⇒F=9.6×104≈1×105 N.

Asked in: JEE Main 2017 (09 Apr Online)

Practice more Kinetic Theory of Gases and Radiation questions on Aicharya