A sphere, a cube and a thin circular plate, all made of the same material and having the same mass are initially heated to a temperature of $1000^{\circ} C$ . Which one of these will cool first

Plate

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Sphere

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Cube

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All will cool at the same rate

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Solution

The correct option is A
Plate

Rate of cooling $\frac{△ θ}{t} = \frac{A ϵ σ (T^{4} - T_{0}^{4})}{m c} \Rightarrow \frac{△ θ}{t} \propto A$ . Since area of plate is largest so it will cool fastest.

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A sphere, a cube and a thin circular plate, all made of the same material and having the same mass are initially heated to a temperature of 1000∘ C. Which one of these will cool first

The correct option is A Plate Rate of cooling △θt=Aϵσ(T4−T40)mc⇒△θt∝A. Since area of plate is largest so it will cool fastest.

A sphere, a cube and a thin circular plate, all made of the same material and having the same mass are initially heated to a temperature of $1000^{\circ} C$ . Which one of these will cool first

The correct option is A
Plate

Rate of cooling $\frac{△ θ}{t} = \frac{A ϵ σ (T^{4} - T_{0}^{4})}{m c} \Rightarrow \frac{△ θ}{t} \propto A$ . Since area of plate is largest so it will cool fastest.