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TS EAMCET · Physics · Thermal Properties of Matter

To increase the length of a metal rod by \(0.4 \%\), the temperature of the rod is to be increased by
(Coefficient of linear expansion of the metal \(=20 \times 10^{-6}{ }^{\circ} \mathrm{C}^{-1}\) )

  1. A 373 K
  2. B 473 K
  3. C 200 K
  4. D 100 K
Verified Solution

Answer & Solution

Correct Answer

(C) 200 K

Step-by-step Solution

Detailed explanation

\( \Delta L / L = \alpha \Delta T \) \( \Delta T = \frac{\Delta L / L}{\alpha} \) \( \Delta T = \frac{0.004}{20 \times 10^{-6} \,^{\circ}\mathrm{C}^{-1}} \) \( \Delta T = 200 \, \mathrm{K} \)
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