TS EAMCET · Physics · Thermal Properties of Matter
A metal metre scale that is accurate up to 0.5 mm is made at a temperature of \(25^{\circ} \mathrm{C}\). The range of temperatures within which it can be used is
(Coefficient of linear expansion of the metal \(=10^{-5} /{ }^{\circ} \mathrm{C}\) )
- A \(+25^{\circ} \mathrm{C}\) to \(+75^{\circ} \mathrm{C}\)
- B \(+25^{\circ} \mathrm{C}\) to \(+50^{\circ} \mathrm{C}\)
- C \(-25^{\circ} \mathrm{C}\) to \(+75^{\circ} \mathrm{C}\)
- D \(0^{\circ} \mathrm{C}\) to \(+50^{\circ} \mathrm{C}\)
Answer & Solution
Correct Answer
(C) \(-25^{\circ} \mathrm{C}\) to \(+75^{\circ} \mathrm{C}\)
Step-by-step Solution
Detailed explanation
\(\Delta L = L_0 \alpha \Delta T\) \(\Delta T = \frac{\Delta L}{L_0 \alpha} = \frac{0.5 \times 10^{-3} \text{ m}}{(1 \text{ m})(10^{-5} /{ }^{\circ} \mathrm{C})} = 50^{\circ} \mathrm{C}\)…
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