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Question: If emissivity of bodies X and Y are $e_x$ and $e_y$ and absorptive power are $A_x$ and $A_y$ then...

If emissivity of bodies X and Y are exe_x and eye_y and absorptive power are AxA_x and AyA_y then

A

ey>exe_y > e_x; Ay>AxA_y > A_x

B

ey<exe_y < e_x; Ay<AxA_y < A_x

C

ey>exe_y > e_x; Ay<AxA_y < A_x

D

ey=exe_y = e_x; Ay=AxA_y = A_x

Answer

ey>exe_y > e_x; Ay>AxA_y > A_x

Explanation

Solution

The graph shows that body Y cools down faster than body X. The rate of cooling is directly proportional to emissivity. Thus, ey>exe_y > e_x. According to Kirchhoff's Law of thermal radiation, emissivity equals absorptive power (e=Ae=A). Therefore, Ay>AxA_y > A_x.