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Three immiscible liquids of equal height l are filled in a container of base area A. The coefficient of cubical expansion of each liquid is gamma (for the bottom liquid), 2*gamma (for the middle liquid), and 3*gamma (for the top liquid). The coefficient of cubical expansion of the container material is gamma_c = 3*gamma/2. When the temperature is increased by delta_T, find the volume of liquid that flows out of the container.
- (A) A*l*gamma*delta_T / 3
- (B) A*l*gamma*delta_T
- (C) A*l*gamma*delta_T / 2
- (D) 2*A*l*gamma*delta_T / 3
Correct answer: (C) A*l*gamma*delta_T / 2
Solution
The volume of liquid that overflows equals the net increase in liquid volume minus the net increase in container volume. Effective gamma for each liquid relative to the container determines the overflow.
Related JEE Advanced Physics questions
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[Given: Wien’s constant = 2.9 × 10⁻³ m-K and hc/e = 1.24 × 10⁻⁶ V-m]
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