JEE Mains · Physics · STD 11 - 10.1, thermonetry,thermal expansion and calorimetry
Each side of a box made of metal sheet in cubic shape is \('a'\) at room temperature \('T'\), the coefficient of linear expansion of the metal sheet is \(^{\prime} \alpha^{\prime}\). The metal sheet is heated uniformly, by a small temperature \(\Delta T\), so that its new temperature is \(T +\Delta T\). Calculate the increase in the volume of the metal box.
- A \(3 a^{3} \alpha \Delta T\)
- B \(4 a ^{3} \alpha \Delta T\)
- C \(4 \pi a ^{3} \alpha \Delta T\)
- D \(\frac{4}{3} \pi a ^{3} \alpha \Delta T\)
Answer & Solution
Correct Answer
(A) \(3 a^{3} \alpha \Delta T\)
Step-by-step Solution
Detailed explanation
\(\Delta V = V \gamma \Delta T\) \(\Delta V =3 a ^{3} \alpha \Delta T\)
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