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JEE Main20238 Apr 2023Evening ShiftPhysicsThermal Properties of MatterActual

A steel rod of length 1 m and cross-sectional area 10 - 4 m 2 is heated from 0 ° C to 200 ° C without being allowed to extend or bend. The compressive tension produced in the rod is _____ × 10 4 N . (Given Young's modulus of steel = 2 × 10 11 N m - 2 , coefficient of linear expansion = 10 - 5 K - 1 )

Correct answer

0

Step-by-step solution

The formula to calculate the Young's modulus of the material of the wire is given by Y = F L A ∆ L       . . . 1 The increase in length of the wire due to increase in temperature is given by ∆ L = L α T 2 - T 1       . . . 2 Substitute the expression for the extension in length from equation (2) into equation (1) and simplify to obtain the required compressive tension. Y = F L A L α T 2 - T 1 ⇒ F = A α Y T 2 - T 1       . . . 3 Substi

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