JEE MAIN - Physics (2022 - 25th June Morning Shift - No. 21)

The velocity of upper layer of water in a river is 36 kmh$$-$$1. Shearing stress between horizontal layers of water is 10$$-$$3 Nm$$-$$2. Depth of the river is __________ m. (Co-efficient of viscosity of water is 10$$-$$2 Pa.s)
Answer
100

Explanation

$$F = - \eta A{{du} \over {dx}}$$

$$ \Rightarrow {10^{ - 3}} = {10^{ - 2}} \times {{10} \over h}$$

$$ \Rightarrow h = {{{{10}^{ - 1}}} \over {{{10}^{ - 3}}}}$$ m = 100 m

$$\Rightarrow$$ (100)

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