A free bar of length l is uniformly heated from 0-C to a temperature t-C- - is the coefficient of linear expansion and E is modulus of elasticity- The stress developed in the bar is

A metal bar of length L and area of cross-section A is rigidly clamped between two walls. The Young's modulus of its material is Y and the coefficient of linear expansion is $α$ . The bar is heated so that its temperature increases by $θ^{\circ} C$ . The force exerted at the ends of the bar is given by

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A free bar of length l is uniformly heated from 0∘C to a temperature t∘C,α is the coefficient of linear expansion and E is modulus of elasticity. The stress developed in the bar is

The correct option is C Zero If a bar is free, it will expand freely on heating and no thermal stress will develop. Thermal stress gets developed only when bar is constrained. Hence, option (c) is correct.

A free bar of length $l$ is uniformly heated from $0^{\circ} C$ to a temperature $t^{\circ} C, α$ is the coefficient of linear expansion and $E$ is modulus of elasticity. The stress developed in the bar is

The correct option is C Zero
If a bar is free, it will expand freely on heating and no thermal stress will develop. Thermal stress gets developed only when bar is constrained.
Hence, option (c) is correct.