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The velocity of water in a river is 18 km/hr near the surface

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The velocity of water in a river is 18 km/hr near the surface .If the river is 5 m deep, find the shearing stress between the horizontal layers of water.The co-efficient of viscosity of water= $1 0^{- 2}$ poise.

1 0^{- 1} N / m^{2}

1 0^{- 2} N / m^{2}

1 0^{- 3} N / m^{2}

1 0^{- 4} N / m^{2}

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The velocity of water in a river is 18 km/hr near the surface .If the river is 5 m deep, find the shearing stress between the horizontal layers of water.The co-efficient of viscosity of water=

1 0^{- 2}

poise.

12 mins ago

Discuss this question LIVE

12 mins ago

Text solutionVerified

viscous force =

- η A \frac{d v}{d x}

Shearing stress =

\frac{F}{A} = η \frac{d v}{d x}

= 1 0^{- 2} \times \frac{18 \times 1000}{3600 \times 5}

= 1 0^{- 2} N / m^{2}

Hence (b) option is the correct answer.

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Question Text	The velocity of water in a river is 18 km/hr near the surface .If the river is 5 m deep, find the shearing stress between the horizontal layers of water.The co-efficient of viscosity of water= $1 0^{- 2}$ poise.
Answer Type	Text solution:1
Upvotes	150

The velocity of water in a river is 18 km/hr near the surface .If the river is 5 m deep, find the shearing stress between the horizontal layers of water.The co-efficient of viscosity of water=10−2 poise.

Text solutionVerified

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The velocity of water in a river is 18 km/hr near the surface .If the river is 5 m deep, find the shearing stress between the horizontal layers of water.The co-efficient of viscosity of water= $1 0^{- 2}$ poise.