Three rods are made from the same material and having the same cross-sectional area and length have been joined as shown in the figure. The left end and right end are kept 0 ° C and 100 ° C , respectively. The temperature of the junction of three rods will be

Question

Three rods are made from the same material and having the same cross-sectional area and length have been joined as shown in the figure. The left end and right end are kept 0 ° C and 100 ° C , respectively. The temperature of the junction of three rods will be, 50 ° C, 60 ° C, 80 ° C, 66.66 ° C

MARKS App · Accepted Answer

Let the temperature of the junction is θ . Since, rods B and C parallel to each other. Thus, the thermal resistance by rod B and C , R 1 = R 2 ∵ R C = R B Therefore, = θ - 0 ° R = 100 - θ R / 2 ⇒ θ R = 100 - θ R / 2 ⇒ θ R = 2 100 - θ R ⇒ 3 θ = 200 ⇒ θ = 66.66 ° C

Search any question & find its solution

Looking for more such questions to practice?