A stone is lying at rest in a river. The minimum mass of stone, m=kρvxg−3 is needed to remain at rest. Here, k = constant having no unit, g = acceleration due to gravity, v = river flow velocity , ρ = density of water. The value of x is_________________

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answer is 6.

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Detailed Solution

The unit of LHS is kg. The unit of RHS should be kg. Here, kρvxg−3=kgm3msxms2−3=(kg)(m)−3+x−3(s)+6−x∴ −6+x=0⇒ x=6

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