Four rods of same material and having the same cross section and length have been joined.The temperature of the junction of four rods will be
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the correct answer is 45c
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Hey dear,
Question is incomplete.
◆ Complete question is -
Four rods of same material and having the same cross section and length have been joined. T1=90℃, T2=50℃, T3=30℃, T4=0℃. The temperature of the junction of four rods will be ...
◆ Explaination-
# Given-
A, l & K are same for all rods.
T1 = 90 ℃
T2 = 60 ℃
T3 = 30 ℃
T4 = 0 ℃
# Solution-
Let T be temperature of the junction.
When 4 rods are joined together, it follow the condition
Q1 + Q2 + Q3 + Q4 = 0
KA(90-T)/l + KA(60-T)/l + KA(30-T)/l + KA(0-T)/l = 0
90-T + 60-T + 30-T - T = 0
180 = 4T
T = 45 °C
Therefore, temperature of the junction is 45 °C.
Hope this helps you...
Question is incomplete.
◆ Complete question is -
Four rods of same material and having the same cross section and length have been joined. T1=90℃, T2=50℃, T3=30℃, T4=0℃. The temperature of the junction of four rods will be ...
◆ Explaination-
# Given-
A, l & K are same for all rods.
T1 = 90 ℃
T2 = 60 ℃
T3 = 30 ℃
T4 = 0 ℃
# Solution-
Let T be temperature of the junction.
When 4 rods are joined together, it follow the condition
Q1 + Q2 + Q3 + Q4 = 0
KA(90-T)/l + KA(60-T)/l + KA(30-T)/l + KA(0-T)/l = 0
90-T + 60-T + 30-T - T = 0
180 = 4T
T = 45 °C
Therefore, temperature of the junction is 45 °C.
Hope this helps you...
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