An air bubble is lying just below the surface of water. The surface tension of water is 70×10−3Nm−1 and atmospheric pressure is 1.013×105Nm−2. If the radius of bubble is 1mm, then the pressure inside the bubble will be :

Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Home

Class 11

Physics

Mechanical Properties of Fluids

Air Bubble

An air bubble is lying just below the surface of water. The su

Question

Medium

Solving time: 3 mins

An air bubble is lying just below the surface of water. The surface tension of water is $70 \times 1 0^{- 3} N m^{- 1}$ and atmospheric pressure is $1.013 \times 1 0^{5} N m^{- 2}$ . If the radius of bubble is $1 mm$ , then the pressure inside the bubble will be :

1.0270 \times 1 0^{5} P a

1.0160 \times 1 0^{5} P a

1.0144 \times 1 0^{5} P a

1.0131 \times 1 0^{5} P a

Views: 5,981 students

Found 2 tutors discussing this question

Elijah Discussed

An air bubble is lying just below the surface of water. The surface tension of water is

70 \times 1 0^{- 3} N m^{- 1}

and atmospheric pressure is

1.013 \times 1 0^{5} N m^{- 2}

. If the radius of bubble is

1 mm

, then the pressure inside the bubble will be :

6 mins ago

Discuss this question LIVE

6 mins ago

Text solutionVerified

Since, the bubble is just beneath the surface of water, we can safely assume that the pressure outside the bubble is same as atmospheric pressure. However, the pressure inside the bubble is greater than that of the outside by,

P_{in} - P_{out} = \frac{2 T}{R}

Therefore,

P_{in} = 1.013 \times 1 0^{5} + \frac{140 \times 1 0 ^{- 3}}{0.0001}

Or,

P_{in} = 1.0144 \times 1 0^{5}

Was this solution helpful?

125

Report

One destination for complete JEE/NEET preparation

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our Physics tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	An air bubble is lying just below the surface of water. The surface tension of water is $70 \times 1 0^{- 3} N m^{- 1}$ and atmospheric pressure is $1.013 \times 1 0^{5} N m^{- 2}$ . If the radius of bubble is $1 mm$ , then the pressure inside the bubble will be :
Topic	Mechanical Properties of Fluids
Subject	Physics
Class	Class 11
Answer Type	Text solution:1
Upvotes	125

An air bubble is lying just below the surface of water. The surface tension of water is $70 \times 1 0^{- 3} N m^{- 1}$ and atmospheric pressure is $1.013 \times 1 0^{5} N m^{- 2}$ . If the radius of bubble is $1 mm$ , then the pressure inside the bubble will be :

Text solutionVerified

Practice more questions from Mechanical Properties of Fluids

Practice questions on similar concepts asked by Filo students

An air bubble is lying just below the surface of water. The surface tension of water is 70×10−3Nm−1 and atmospheric pressure is 1.013×105Nm−2. If the radius of bubble is 1mm, then the pressure inside the bubble will be :

Text solutionVerified

Practice more questions from Mechanical Properties of Fluids

Practice questions on similar concepts asked by Filo students

Related books for questions on Mechanical Properties of Fluids

An air bubble is lying just below the surface of water. The surface tension of water is $70 \times 1 0^{- 3} N m^{- 1}$ and atmospheric pressure is $1.013 \times 1 0^{5} N m^{- 2}$ . If the radius of bubble is $1 mm$ , then the pressure inside the bubble will be :