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A conducting cylinder has curved surface covered with insulated layer. Flat surfaces are perfect absorbers. Flat surface area is $\frac{3}{17} m^{2}$ . 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 = $\frac{17}{3} \times 10^{- 8} W / m^{2} k^{4}$ )

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Power emitted by source is 68W

Thermal conductivity of cylinder is 0.023 W/mK

Thermal conductivity of cylinder is 0.057 W/mK

Power emitted by source is 18W

answer is A, C.

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Detailed Solution

Cylinder absorbs energy from left face and radiate from both, So
$\frac{P}{2} (1 - \cos 60^{0}) = σ A T^{4} + σ A T^{/ 4} \Rightarrow P = 68 W$
Heat current = 1 W
$\frac{k A Δ T}{l} = 1 \Rightarrow k = 0.057$

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