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Most Important Selected Qs for JEE AdvancedPhysicsThermal Properties of Matter

A rod of negligible heat capacity has length 40 cm , area of cross-section 1.0 ~cm ^2 and thermal conductivity 100 ~W / m ^ ^ C . The temperature of one end is maintained at 0^ C and that of the other end is slowly and linearly varied from 0^ C to 60^ C in 10 minutes. Assuming no loss of heat through the sides, find the total heat transmitted through the rod in these 10 minutes (in J).

Correct answer

450

Step-by-step solution

Temperature as a function of time T = 1 10 t^ C d Q d t =k A d T d x ₀^Q d Q= ₀^ (10 60) ( k A 0.4 ) 0.1 t d t= . 100 1 10⁻⁴ 0.1 t^2 0.8 |₀ ⁶⁰⁰=450

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