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Mechanical Properties of Fluids

Continuity equation

A large tank is filled with water ( density = 10^3 kg/m^3 ) .

Question

Medium

Solving time: 3 mins

A large tank is filled with water ( density $= 1 0^{3} k g / m^{3}$ ) . a small hole is made at a depth 10m below the water surface the range of water issuing out of the hole is R on the ground. what extra pressure applied on water surface so that the range becomes 2R ( take 1 atm $= 1 0^{5} P a, g = 10 m / s^{2}$ )

9 atm

4 atm

5 atm

3 atm

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Henry Discussed

A large tank is filled with water ( density

= 1 0^{3} k g / m^{3}

) . a small hole is made at a depth 10m below the water surface the range of water issuing out of the hole is R on the ground. what extra pressure applied on water surface so that the range becomes 2R ( take 1 atm

= 1 0^{5} P a, g = 10 m / s^{2}

)

10 mins ago

Discuss this question LIVE

10 mins ago

Text solutionVerified

Range

=

velocity

x

time Range will become twice, if the velocity of efflux becomes twice

v_{e} = 2 g h

it will become twice, if

h

becomes 4 times, or

40 m

. Thus, an extra pressure equivalent to

30 m

of water should be applie

1 atm = 0.76 \times 13.6 m = 10.336 m

of water

30 m

of water

\approx 3

atm

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Question Text	A large tank is filled with water ( density $= 1 0^{3} k g / m^{3}$ ) . a small hole is made at a depth 10m below the water surface the range of water issuing out of the hole is R on the ground. what extra pressure applied on water surface so that the range becomes 2R ( take 1 atm $= 1 0^{5} P a, g = 10 m / s^{2}$ )
Topic	Mechanical Properties of Fluids
Subject	Physics
Class	Class 11
Answer Type	Text solution:1
Upvotes	104

Text solutionVerified

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A large tank is filled with water ( density=103kg/m3 ) . a small hole is made at a depth 10m below the water surface the range of water issuing out of the hole is R on the ground. what extra pressure applied on water surface so that the range becomes 2R ( take 1 atm=105Pa,g=10m/s2)

Text solutionVerified

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