JEE Main 2017 · 9 Apr · Shift 1 · Physics Q8

← JEE Main 2017 · 9 Apr · Shift 1

PhysicsSingle correct+4 / -1Question 8 of 90

A steel rail of length 5 m and area of cross section 40 cm $^2$ 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 $1.2\times10^{-5}$ K $^{-1}$ and $2\times10^{11}$ Nm $^{-2}$ respectively, the force developed in the rail is approximately :

2\times10^7

1\times10^5

2\times10^9

3\times10^{-5}

Answer and worked solution

Official answer: B

$F=YA\alpha\Delta T=2\times10^{11}\times40\times10^{-4}\times1.2\times10^{-5}\times10=9.6\times10^4\approx1\times10^5\text{ N}.$

Topics:Thermal stress

← Previous question Next question →

JEE Main 2017 · 9 Apr · Shift 1, Physics question 8