MHT CET · Physics · Thermal Properties of Matter
The volume of a metal sphere increases by \(0.33 \%\) when its temperature is raised by \(50^{\circ} \mathrm{C}\). The coefficient of linear expansion of the metal is
- A \(2.2 \times 10^{-5} /{ }^{\circ} \mathrm{C}\)
- B \(6.6 \times 10^{-5} /{ }^{\circ} \mathrm{C}\)
- C \(13.2 \times 10^{-5} /{ }^{\circ} \mathrm{C}\)
- D \(19.8 \times 10^{-5} /{ }^{\circ} \mathrm{C}\)
Answer & Solution
Correct Answer
(A) \(2.2 \times 10^{-5} /{ }^{\circ} \mathrm{C}\)
Step-by-step Solution
Detailed explanation
\( \frac{\Delta V}{V} = 3 \alpha \Delta T \) \( \alpha = \frac{\Delta V / V}{3 \Delta T} \)
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