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NEET 2019
Exam
NEET
Year
2019
Subject
Physics
Chapter
Mechanical Properties of Fluids

NEET 2019 · Physics · Mechanical Properties of Fluids

A soap bubble having radius of 1mm is blown from a detergent...

A soap bubble having radius of 1mm1mm is blown from a detergent solution having a surface tension of 2.5×10−2Nm−1.2.5 \times {10}^{- 2}N{m}^{- 1} . The pressure inside the bubble equals at a point Z0{Z}_{0} below the free surface of water in a container. Taking g=10ms−2,g = 10m{s}^{- 2}, density of water =103kgm−3,= {10}^{3}kg{m}^{- 3}, the value of Z0{Z}_{0} is

Options

  1. A100cm100cm
  2. B10cm10cm
  3. C1cm1cm
  4. D0.5cm0.5cm

Correct answer

C. 1cm1cm

Step-by-step solution

Pressure inside soap bubble is given by, ∆P=4TR\text{∆}P = \dfrac{4T}{R}
Pressure below water surface at depth Z0{Z}_{0} is given by, ∆P=ρgZ0∆ P = ρg{Z}_{0}
According to question,
⇒4TR=ρgZ0⇒ \dfrac{4T}{R} = ρg{Z}_{0}
⇒Z0=4Tρg=4×2.5×10−2103×10×10−3⇒ {Z}_{0} = \dfrac{4T}{ρg} = \dfrac{4 \times 2.5 \times {10}^{- 2}}{{10}^{3} \times 10 \times {10}^{- 3}}
⇒Z0=1100m⇒ {Z}_{0} = \dfrac{1}{100}m
⇒Z0=1cm⇒ {Z}_{0} = 1cm

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