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The velocity of the surface layer of water in a river of depth \( 10 \mathrm{~m} \) is \( 5 \mathrm{~ms}^{-1} \). The shearing stress between the surface layer and the bottom layer is (Coefficient of viscosity of water, \( \eta=10^{-3} \) SI units)
[Kerala PMT 2010]
(a) \( 0.6 \times 10^{-3} \mathrm{Nm}^{-2} \)
(b) \( 0.8 \times 10^{-3} \mathrm{Nm}^{-2} \)
(c) \( 0.5 \times 10^{-3} \mathrm{Nm}^{-2} \)
(d) \( 10^{-3} \mathrm{Nm}^{-2} \)
(e) \( 1 \mathrm{Nm}^{-2} \)
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