The velocity of upper layer of water in a river is 36kmh1. Shearing stress between horizontal layers of water is 103 Nm2. Depth of the river is……..m. (Co-efficient of viscosity of water is 102 Pa.s)

<p><span contenteditable="false"> <math> <mrow> <mi>τ</mi> <mo>=</mo> <mi>η</mi> <mfrac> <mrow> <mi>v</mi> </mrow> <mrow> <mi>h</mi> </mrow> </mfrac> </mrow> </math> </span>&nbsp;</p><p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Given</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <span contenteditable="false"> <math> <mrow> <mi>τ</mi> <mo>=</mo> <mn>1</mn> <msup> <mrow> <mn>0</mn> </mrow> <mrow> <mo>−</mo> <mn>3</mn> </mrow> </msup> <mi>N</mi> <mo>/</mo> <msup> <mrow> <mi>m</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> </mrow> </math> </span>&nbsp;</p><p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; (shear stress)</p><p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; h =? </p><p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; v = 36 km/hr = 10 m/sec</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <span contenteditable="false"> <math> <mrow> <mn>1</mn> <msup> <mrow> <mn>0</mn> </mrow> <mrow> <mo>−</mo> <mn>3</mn> </mrow> </msup> <mo>=</mo> <mfrac> <mrow> <mn>1</mn> <msup> <mrow> <mn>0</mn> </mrow> <mrow> <mo>−</mo> <mn>2</mn> </mrow> </msup> <mo>×</mo> <mn>1</mn> <mn>0</mn> </mrow> <mrow> <mi>h</mi> </mrow> </mfrac> </mrow> </math> </span></p><p>h = 100 m</p>

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