First slide

Radiation

Question

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 $1000^{0}$ C. Which one of these will cool first?

Difficult

A

Plate
B

Sphere
C

Cube
D

None of these

Solution

Rate of cooling $\frac{∆ θ}{t} = \frac{A \in σ (T^{4} - {T_{0}}^{4})}{mc} \Rightarrow \frac{∆ θ}{t} directly proportional to A$
Since area of plate is largest so it will cool fastest.

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