1.

The velocity of water in river is 180 km `h^(-1)` near the surface .If the river is 5 m deep,then the shearing stress between the surface layer and the bottom layer is ( cofficient of viscosity of water `eta =10^(-3)` Pa s)A. `10^(-2)N m^(-2)`B. `10^(-3)N m^(-2)`C. `10^(-4)N m^(-2)`D. `10^(-5)N m^(-2)`

Answer» Correct Answer - B
As the velocity of water at the bottom of the river is zero,
`dv=18 km h^(-1)=18xx(5)/(18)=5 m s^(-1)`
Also , `dx=5 m, eta=10^(-3)` Pa s
Force of viscosity , `F=etaA(dv)/(dx)`
`therefore` Shearing stress, `=(F)/(A)=eta(dv)/(dx)`
`=(10^(-3)xx5)/(5)=10^(-3) N m^(-2)`


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