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JEE Advanced levelSingle correct optionDifficulty 3 of 3ig040

A J-shaped tube closed at the short end traps of air when the mercury levels in the two limbs are equal and atmospheric pressure is . More mercury is poured into the open limb until the trapped air column is long. At constant temperature, the difference between the mercury levels in the two limbs is now

  1. A
  2. B
  3. C
  4. D

Answer: A

Initially the trapped air is at . Boyle's law (uniform tube, length proportional to volume): , . The excess over atmospheric is supported by the mercury difference: .
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