TS EAMCET · Physics · Thermal Properties of Matter
A glass flask of volume one litre is filled completely with mercury at \(0^{\circ} \mathrm{C}\). The flask is now heated to \(100^{\circ} \mathrm{C}\). Coefficient of volume expansion of mercury is \(1.82 \times 10^{-4} /{ }^{\circ} \mathrm{C}\) and coefficient of linear expansion of glass is \(0.1 \times 10^{-4} /{ }^{\circ} \mathrm{C}\). During this process, amount of mercury which overflows is
- A \(21.2 \mathrm{cc}\)
- B \(15.2 \mathrm{cc}\)
- C \(2.12 \mathrm{cc}\)
- D \(18.2 \mathrm{cc}\)
Answer & Solution
Correct Answer
(B) \(15.2 \mathrm{cc}\)
Step-by-step Solution
Detailed explanation
Due to volume expansion of both mercury and flask, the change in volume of mercury relative to flask is given by \[ \begin{aligned} \Delta V & =V_0\left[\gamma_L-\gamma_g\right] \Delta \theta \\ & =V\left[\gamma_m-3 \alpha_g\right] \Delta \theta \end{aligned} \] Given,…
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