Question:
A cylindrical vessel contains two immiscible liquids A and B of densities $750$ kg m$^{-3}$ and $1000$ kg m$^{-3}$. Thicknesses are 10 m and 15 m respectively. Atmospheric pressure is $10^5$ Pa. Ratio of absolute pressures at bottom and interface is:}
A cylindrical vessel contains two immiscible liquids A and B of densities $750$ kg m$^{-3}$ and $1000$ kg m$^{-3}$. Thicknesses are 10 m and 15 m respectively. Atmospheric pressure is $10^5$ Pa. Ratio of absolute pressures at bottom and interface is:}
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Pressure increases linearly with depth: $P = P_0 + \rho gh$
Updated On: Jun 17, 2026
- 10:7
- 2:1
- 3:1
- 1:1
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The Correct Option is A
Solution and Explanation
Step 1: Pressure at interface: \[ P_I = P_0 + \rho_A g h_A \] \[ = 10^5 + 750 \cdot 10 \cdot 10 = 10^5 + 75000 = 175000 \]
Step 2: Pressure at bottom: \[ P_B = P_I + \rho_B g h_B \] \[ = 175000 + 1000 \cdot 10 \cdot 15 = 175000 + 150000 = 325000 \]
Step 3: Ratio: \[ P_B : P_I = 325000 : 175000 = 13 : 7 \]
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