Two cylinders P and Q have the same length and diameter and are made of different materials having thermal conductivities in the ratio 2 : 3. These two cylinders are combined to make a cylinder. One end of P is kept at 100° C and another end of Q at 0°C. The temperature at the interface of P and Q is

Q: Two cylinders P and Q have the same length and diameter and are made of different materials having thermal conductivities in the ratio 2 : 3. These two cylinders are combined to make a cylinder. One end of P is kept at 100° C and another end of Q at 0°C. The temperature at the interface of P and Q is
(a) 30°C
(b) 40°C
(c) 50°C
(d) 60°C
Solution : (b) Let temperature at interface is θ
k1(100-θ) = k2(θ-0)
Here , k1/k2 = 2/3
By solving , θ = 40°C

Author: Rajesh Jha

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