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A metallic bar of Young's modulus \(0.5\times {10}^{11}N{m}^{-2}\), and the coefficient of linear thermal expansion \({1…

Q1

A metallic bar of Young's modulus \(0.5\times {10}^{11}N{m}^{-2}\), and the coefficient of linear thermal expansion \({10}^{-5}{{}^{∘}\mathrm{C}}^{-1}\), length 1 m and area of cross-section \({10}^{-3}{\mathrm{m}}^{2}\) is heated from \(0^\circ \mathrm{C}\) to \(100^\circ \mathrm{C}\) without expansion or bending. The compressive force developed in it is:

a

\(5\times {10}^{3}\mathrm{N}\)

b

\(50\times {10}^{3}\mathrm{N}\)

c

\(100\times {10}^{3}\mathrm{N}\)

d

\(2\times {10}^{3}\mathrm{N}\)

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