JEE Main 2015 Physics question

PhysicsThermal Properties of MatterJEE Main 2015

A beaker contains a fluid of density , specific heat and viscosity . The beaker is filled up to height h. To estimate the rate of heat transfer per unit area by convection when beaker is put on a hot plate, a student proposes that it should depend on , and when (in C) is the difference in the temperature between the bottom and top of the fluid. In that situation the correct option for is:

Answer: (1)

Solution

Find the dimensions of each group in SI base units. The rate of heat transfer per unit area is power per area: . Viscosity: . Next, $[SΔθ] =

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Question ID VK-115315