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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

  1. Ex>Ey and ax>ay
  2. Ex<Ey and ax>ay
  3. Ex>Ey and ax<ay
  4. Ex<Ey and ax<ay


Solution

The correct option is A 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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