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Q. No.The temperature of a metallic sphere of radius \(R\) is increased by a small amount \(\Delta T.\) If the linear coefficient of thermal expansion of the metal is \(\alpha,\) the approximate increase in the volume of the sphere is:
1. \(6\pi R^3 \alpha \Delta T\)
2. \(2\pi R^3 \alpha \Delta T\)
3. \(3\pi R^3 \alpha \Delta T\)
4. \(4\pi R^3 \alpha \Delta T\)
1. \(6\pi R^3 \alpha \Delta T\)
2. \(2\pi R^3 \alpha \Delta T\)
3. \(3\pi R^3 \alpha \Delta T\)
4. \(4\pi R^3 \alpha \Delta T\)
Subtopic: Â Thermal Expansion |
Level 3: 35%-60%
NEET - 2026
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A copper rod of \(88\) cm and an aluminium rod of an unknown length have an equal increase in their lengths independent of an increase in temperature. The length of the aluminium rod is:
\(\left(\alpha_{Cu}= 1.7\times10^{-5}~\text{K}^{-1}~\text{and}~\alpha_{Al}= 2.2\times10^{-5}~\text{K}^{-1}\right)\)
| 1. | \(68~\text{cm}\) | 2. | \(6.8~\text{cm}\) |
| 3. | \(113.9~\text{cm}\) | 4. | \(88~\text{cm}\) |
Subtopic: Â Thermal Expansion |
 79%
Level 2: 60%+
NEET - 2019
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