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JEE Advanced 2014Paper 2
Exam
JEE Advanced
Year
2014
Paper
Paper 2
Subject
Physics
Chapter
Mechanical Properties of Fluids

JEE Advanced 2014 · Paper 2 · Physics · Mechanical Properties of Fluids

Paragraph: A spray gun is shown in the figure where a piston pushes...

Paragraph: A spray gun is shown in the figure where a piston pushes air out of a nozzle. A thin tube of uniform cross section is connected to the nozzle. The other end of the tube is in a small liquid container. As the piston pushes air through the nozzle, the liquid from the container rises into the nozzle and is sprayed out. For the spray gun shown, the radii of the piston and the nozzle are 20 mm20 \mathrm{~mm} and 1 mm1 \mathrm{~mm}, respectively. The upper end of the container is open to the atmosphere. Paragraph: A spray gun is shown in the figure where a piston pushes air out of a nozzle. A thin tube of uniform cross

Question: If the piston is pushed at a speed of 5 mms−15 \mathrm{~mms}^{-1}, the air comes out of the nozzle with a speed of

Options

  1. A0.1ms−10.1m{s}^{- 1}
  2. B1ms−11m{s}^{- 1}
  3. C2ms−12m{s}^{- 1}
  4. D8ms−18m{s}^{- 1}

Correct answer

C. 2ms−12m{s}^{- 1}

Step-by-step solution

By A1V1=A2V2{A}_{1}{V}_{1} = {A}_{2}{V}_{2}
⇒π(20)2×5=π(1)2V2⇒V2=2ms2⇒ \pi{\left(20\right)}^{2} \times 5 = \pi{\left(1\right)}^{2}{V}_{2} ⇒ {V}_{2} = 2\dfrac{m}{{s}^{2}}
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