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A river 10 m deep is flowing at 5 m/s. If coefficient of viscosity of water is η=103N/S/m2, find the sear force exerted by water on 1m2 of river bed. 

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a
5×10−4Nm2
b
2×10−3Nm2
c
5×10−3Nm2
d
2.5×10−3Nm2

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detailed solution

Correct option is A

Average velocity gradient dVdh=510=12S−1∴ Shear force =ηdVdh=10−3×12 Nm2=5×10−4 Nm2


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The coefficient of viscosity  of a liquid can be defined from the equation F=ηA(dv/dx)where F is the tangential force  between two liquid layers of area A. The layers are at a distance dy apart and du is the difference in their velocities. 
Suitable unit for dv/dx is:


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