Q137 / 160 · TS EAMCET 2021 (04 Aug Shift 1) · Physics

A U-shaped tube is partially filled with an incompressible liquid of density 1.2 g cm-3. Oil which does not mix with the liquid is next poured into the left side of the U-tube until the liquid rises by, 15 cm on the right side of U-tube. If the density of the oil is 0.9 g cm-3, the oil level will stand higher than the liquid level of the right side of U-tube by

  • A
    15 cm
  • Correct answer
    B
    10 cm
  • C
    12 cm
  • D
    9 cm

Solution

Use the concept of pressure in the above case the pressure at both the sides of U-tube should be same, it means, the pressure due to liquid column should be same as both side, it means, h0ρog=hlρlg⇒h0=hlρlgρog=30×1.20.9=40 cm, because the total difference in height of water in both sides is equal to 2×15=30 cm, then the difference should be, 40-30=10 cm. 

 

Hence, the correct answer is option: 'B'.

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