A cylindrical tod having temperature T_1 and T_2 at its ends. The rate of flow of heat is Q_1 cells. If all the linear dimensional are doubled keeping temperature constant, then rate of flow of heat…

Question

A cylindrical tod having temperature T_1 and T_2 at its ends. The rate of flow of heat is Q_1 cells. If all the linear dimensional are doubled keeping temperature constant, then rate of flow of heat Q_2 will be

Accepted Answer

Correct answer: B. (b) As, Q= KA(T_1-T_2)l For rate of flow of heat Q_1 is Q_1= KA(T_1-T_2)l (i ) Q_1= Kπr^2(T_1-T_2)l If l=2l and r=2r, then Q_2= Kπ (2r_1 )^2(T_1-T_2)2l=2 Kπr^2(T_1-T_2)l ∴Q_2=2Q_1 calls (using (i))

$A cylindrical tod having temperature T_{1} and T_{2} at its ends. The rate of flow of heat is Q_{1} cells. If all the linear dimensional are doubled keeping temperature constant, then rate of flow of heat Q_{2} will be$

Solution

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