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Question

The graph, shown in the diagram, represents the variation of temperature (T) of the bodies, x and y having same surface area, with time (t) due to the emission of radiation. Find the correct relation between the emissivity and absorptivity power of the two bodies

A
Ex>Ey and ax<ay
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B
Ex<Ey and ax>ay
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C
Ex>Ey and ax>ay
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D
Ex<Ey and ax<ay
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Solution

The correct option is C Ex>Ey and ax>ay
Rate of cooling (dTdt) emissivity (e)
From the graph,
(dTdt)x>(dTdt)y
Ex>Ey
Further emissivity (E) = absorptive power (a) (good absorbers are good emitters also)
ax>ay

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