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MHT CET 2024 (3 May, Shift 1) · Excess Pressure: Drops & Bubbles

Excess Pressure: Drops & Bubbles question from MHT CET 2024 (3 May, Shift 1)

Q30MHT CET 2024 · 3 MAY · SHIFT 1Medium

Excess Pressure: Drops & Bubbles

The pressure inside two soap bubbles, (A) is 1.01 and that of (B) is 1.02 atmosphere respectively. The ratio of their respective radii (A to B) is (outside pressure =1 atm= 1\text{ atm}.)

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Answer: (a)

  1. Excess pressures: ΔPA=0.01\Delta P_A = 0.01 atm, ΔPB=0.02\Delta P_B = 0.02 atm.
  2. ΔP=4TR∝1R⇒RARB=0.020.01=2\Delta P = \frac{4T}{R} \propto \frac{1}{R} \Rightarrow \frac{R_A}{R_B} = \frac{0.02}{0.01} = 2
  3. So the answer is (a) 2:12 : 1.
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