In List-I, certain situations are depicted where steam at 100°C is used to melt ice at 0°C by means of a conducting body which is insulated to prevent heat losses to surrounding. Match the numerical v

Question

In List-I, certain situations are depicted where steam at 100°C is used to melt ice at 0°C by means of a conducting body which is insulated to prevent heat losses to surrounding. Match the numerical value of question asked in each entry to the corresponding entry in List-II. Symbols have usual meaning.

List-I	List-II
(P) $k_{1} = 10 W/mK, k_{2} = 20 W/mK$ . Find temperature of interface of two rods in °C.	(1) 10
(Q) $k_{1} = 10 W/mK, A_{1} = 100 cm^{2}, k_{2} = 20 W/mK, A_{2} = 100 cm^{2}$ . Find total rate of heat transfer through the two rods in SI units.	(2) 20
(R) hollow sphere of $k = \frac{1}{32 π} W/mK$ . Find thermal resistance in SI units.	(3) 30
(S) Hollow cylinder of $k = \frac{π}{10} W/mK$ . Find temperature gradients in SI units.	(4) 40
	(5) 50

TestHub · Accepted Answer

(P) 2 10 A ​ ( 100 − T ) = 1 20 A ​ ( T − 0 ) ⇒ 100 − T = 4 T ⇒ T = 2 0 ∘ C → ( 2 ) (Q) 2 10 × A ( 100 ) ​ + 1 20 × A ( 100 ) ​ = 3000 × 100 × 1 0 − 4 = 30 W → ( 3 ) (R) R T h ​ = 4 π × 0.2 × 0.1 × k 0.2 − 0.1 ​ = 4 π × 0.02 0.1 × 32 π ​ = 40 SI units → ( 4 ) (S) d x d t ​ = 10 100 − 0 ​ = 10 ∘ C / m → ( 1 ) Hence (A).

Physics - Heat & Thermo Question with Solution | TestHub

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