Two immiscible liquids P and Q of different densities are contained in a wide U-tube as…
Physics · JEE Advanced · NTA Exams — Properties of Solids and Liquids
Two immiscible liquids P and Q of different densities are contained in a wide U-tube as shown in fig. The heights of the two liquids above the horizontal line XX` which cuts the boundary between the liquids are HP and HQ respectively. The U-tube is transported to a planet where the acceleration of free fall is 2/3 that on the earth, where the liquids do not evaporate and where the heights of liquid (measured relative to XX`) are hP and hQ respectively. Which of the given statements is correct?
- The liquid levels are unchanged, i.e.,
hP = HP and hQ = HQ - Both liquid levels rise up so that hP/HP = hQ/HQ
- Both liquid levels rise up so that hP - hQ
= HP - HQ - The liquid P falls and liquid Q rises such that \(\frac{\mathrm{h}_{\mathrm{P}}}{\mathrm{~h}_{\mathrm{Q}}}=\frac{2}{3} \frac{\mathrm{H}_{\mathrm{P}}}{\mathrm{H}_{\mathrm{Q}}}\)
Answer
(A) The liquid levels are unchanged, i.e., h P = H P and h Q = H Q
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