Heat and Thermal ExpansionHard

Question

A closed cubical bx mode of perfectly insulating has walls of thickness 8 CM and the only way for heat to enter or leave the box or have the box is through two solid metal plug A and B each of cross - sectional area 12cm2 and length 8 cm fixed in the opposite walls of the box as shown in the figure. Outer surface A is kept at 100oC while the outer surface B is kept at 40C. The thermal conductivity of the material of the-lugs is is .0.5 cal-1 cm-1 (oC-1). A source of energy generating 36 cals-1 is enclosed inside the box. The equilibrium temperature of the inner surface f the box (assuming that it is same at all points on the inner surface )is :-

Options

A.38oC
B.57oC
C.76oC
D.85oC

Solution


Q1 + 36 = Q2

⇒ θ = 45oC

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