A sphere,a cube,and a thin circular plate,all | vedclass

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(C) Density is given by $\rho = \frac{M}{V}$. Since all objects are made of the same material,$\rho$ is the same. Given that the mass $M$ is also the

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the circular plate reaches room temperature fast

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(C) Density is given by $ho = \frac{M}{V}$. Since all objects are made of the same material,$ho$ is the same. Given that the mass $M$ is also the same,the volume $V$ of all objects must be the same. For a constant volume,the surface area $A$ of a thin circular plate is the maximum among a sphere,a cube,and a plate. According to Stefan-Boltzmann law,the rate of heat loss is $\frac{dQ}{dt} \propto A(T^4 - T_0^4)$. Since the surface area $A_{	ext{plate}}$ is the largest,the rate of cooling is highest for the plate. Therefore,the circular plate will reach room temperature the fastest.

$A$ sphere,a cube,and a thin circular plate,all made of the same material and having the same mass,are heated to the same temperature of $200^{\circ} C$. When these are left in a room,which one reaches room temperature the fastest?

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