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JEE Main 2013 (23 Apr, Shift 1) · Thermometry & Thermal Expansion

Thermometry & Thermal Expansion question from JEE Main 2013 (23 Apr, Shift 1)

Q70JEE Main 2013 · 23 APR · SHIFT 1Medium

Thermometry & Thermal Expansion

The ratio of the coefficient of volume expansion of a glass container to that of a viscous liquid kept inside the container is 1: 4. What fraction of the inner volume of the container should the liquid occupy so that the volume of the remaining vacant space will be same at all temperatures?

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Answer: (b)

  1. Vacant space stays constant if liquid and container expand by the same volume: Vlγl=VcγcV_l\gamma_l = V_c\gamma_c.
  2. VlVc=γcγl=14\dfrac{V_l}{V_c} = \dfrac{\gamma_c}{\gamma_l} = \dfrac{1}{4}
  3. So the answer is (b) 1 : 4.
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