WBJEE · Physics · Mechanical Properties of Fluids
Three different liquids are filled in a U-tube as shown in figure. Their densities are \(\rho_1, \rho_2\) and \(\rho_3\) respectively. From the figure we may conclude that
- A \(\rho_3=4\left(\rho_2-\rho_1\right)\)
- B \(\rho_3=4\left(\rho_1-\rho_2\right)\)
- C \(\rho_3=2\left(\rho_2-\rho_1\right)\)
- D \(\quad \rho_3=\frac{\rho_1+\rho_2}{2}\)
Answer & Solution
Correct Answer
(C) \(\rho_3=2\left(\rho_2-\rho_1\right)\)
Step-by-step Solution
Detailed explanation
\(h \rho_1+\frac{h}{2} \rho_3=h \rho_2, \rho_1+\frac{\rho_3}{2}=\rho_2 \quad \quad \rho_3=2\left(\rho_2-\rho_1\right)\)
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