Physics - Unit & Dimension Question with Solution | TestHub

A beaker contains a fluid of density$\rho$$\frac{kg}{m^3}$, specific heat$S\frac{J}{k{g}^{o}C}$and viscosity$\eta$. The beaker is filled up to height h. To estimate the rate of heat transfer per unit area$\left(\frac{\dot{Q}}{A}\right)$by convection when beaker is put on a hot plate, a student proposes that it should depend on$\eta$,$\left(\frac{S\mathrm{\Delta }\theta }{h}\right)$and$\left(\frac{1}{\rho g}\right)$when$\mathrm{\Delta }\theta$(${\mathrm{i}\mathrm{n}}^{o}C$) is the difference in the temperature between the bottom and top of the fluid. In that situation the correct option for$\left(\frac{\dot{Q}}{A}\right)$is: