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A beaker contains a fluid of density rho...

A beaker contains a fluid of density `rhokg//m^(3)`, specific heat `SJ//kg^(@)C` and viscosity `eta`. The beaker is filled up to height h. To estimate the rate of heat transfer per unit area (Q/A) by convection when beaker is put on a hot plate, a student proposes that it should depend on `eta,((SDeltatheta)/(h))` and `((1)/(rhog))` when `Deltatheta("in"^(@)C)` is the difference in the temperature between the bottom and top of the fluid. In that situation the correct option for (Q/A) is

A

`eta(S/_\theta)/h (1/pg)`

B

`(S/_\theta)/etah (1/pg)`

C

`(S/_\theta)/etah`

D

`(etaS/_\theta/h)`

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