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Surface tension

A soap bubble has radius R and thickness of its wall is a. Cal

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A soap bubble has radius $R$ and thickness of its wall is $a$ . Calculate the apparent weight $(=$ true weight - Buoyancy) of the bubble if surface tension of soap solution and its density are $T$ and $d$ respectively. The atmospheric pressure is $P_{0}$ and density of atmospheric air is $ρ_{0}$ . By assuming $a = 1 0^{- 6} m, R = 10 cm, P_{0} = 1 0^{5} Nm^{- 2}, ρ_{0} = 1.2$ $kg m^{- 3}, d = 1 0^{3} kg m^{- 3}, T = 0.04 Nm^{- 1}$ ; show that the weight of the bubble is mainly because of water in the skin. What is weight of the bubble?

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Problems in Physics I for IIT JEE (McGraw Hill)

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James Discussed

A soap bubble has radius

R

and thickness of its wall is

a

. Calculate the apparent weight

(=

true weight - Buoyancy) of the bubble if surface tension of soap solution and its density are

T

and

d

respectively. The atmospheric pressure is

P_{0}

and density of atmospheric air is

ρ_{0}

. By assuming

a = 1 0^{- 6} m, R = 10 cm, P_{0} = 1 0^{5} Nm^{- 2}, ρ_{0} = 1.2

kg m^{- 3}, d = 1 0^{3} kg m^{- 3}, T = 0.04 Nm^{- 1}

; show that the weight of the bubble is mainly because of water in the skin. What is weight of the bubble?

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Question Text	A soap bubble has radius $R$ and thickness of its wall is $a$ . Calculate the apparent weight $(=$ true weight - Buoyancy) of the bubble if surface tension of soap solution and its density are $T$ and $d$ respectively. The atmospheric pressure is $P_{0}$ and density of atmospheric air is $ρ_{0}$ . By assuming $a = 1 0^{- 6} m, R = 10 cm, P_{0} = 1 0^{5} Nm^{- 2}, ρ_{0} = 1.2$ $kg m^{- 3}, d = 1 0^{3} kg m^{- 3}, T = 0.04 Nm^{- 1}$ ; show that the weight of the bubble is mainly because of water in the skin. What is weight of the bubble?
Topic	Mechanical Properties of Fluids
Subject	Physics
Class	Class 11
Answer Type	Text solution:1
Upvotes	76

Text solutionVerified

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