Q.

A conducting cylinder has curved surface covered with insulated layer. Flat surfaces are perfect absorbers. Flat surface area is  317m2. A point light source placed at some distance from left face. Temperature of surrounding is 0 K. In steady state temperature of left face is 200 K and right face 100 K. Then (Stefan’s constant = 173×108W/m2k4)

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a

Power emitted by source is 68W

b

Thermal conductivity of cylinder is 0.023 W/mK

c

Thermal conductivity of cylinder is 0.057 W/mK

d

Power emitted by source is 18W

answer is A, C.

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Detailed Solution

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Cylinder absorbs energy from left face and radiate from both, So
 P2(1cos600)=σAT4+σAT/4 P=68W  
Heat current = 1 W
kAΔTl=1 k=0.057

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