JEE Mains · Physics · STD 11 - 10.1, thermonetry,thermal expansion and calorimetry
A steel rod with \({y}=2.0 \times 10^{11} \,{Nm}^{-2}\) and \(\alpha=10^{-5}{ }^{\circ} {C}^{-1}\) of length \(4\, {m}\) and area of cross-section \(10\, {cm}^{2}\) is heated from \(0^{\circ} {C}\) to \(400^{\circ} {C}\) without being allowed to extend. The tension produced in the rod is \({x} \times 10^{5} \, {N}\) where the value of \({x}\) is ....... .
- A \(8\)
- B \(80\)
- C \(0.8\)
- D \(85\)
Answer & Solution
Correct Answer
(A) \(8\)
Step-by-step Solution
Detailed explanation
Thermal force \({F}={Ay}\alpha \Delta {T}\) \(F=\left(10 \times 10^{-4}\right)\left(2 \times 10^{11}\right)\left(10^{-5}\right)(400)\) \(F=8 \times 10^{5} {N}\) \(\Rightarrow {x}=8\)
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