A well-lagged bar of length 100cm has its ends maintained at 100oC and 40oC respectively. What is the temperature at a point 60cm from the hotter end?
58oC
62oC
64oC
76oC
Explanation
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iven:
Length of bar = 100 cm
Temperature at hot end = 100°C
Temperature at cold end = 40°C
Distance from hot end = 60 cm
Step 1: Find temperature drop per cm
Total temperature drop
=
100
−
40
=
60
∘
𝐶
Total temperature drop=100−40=60
∘
C
Drop per cm
=
60
100
=
0.6
∘
𝐶
/
cm
Drop per cm=
100
60
=0.6
∘
C/cm
Step 2: Temperature drop at 60 cm
Temperature drop
=
60
×
0.6
=
36
∘
𝐶
Temperature drop=60×0.6=36
∘
C
Step 3: Temperature at that point
Temperature
=
100
−
36
=
64
∘
𝐶
Temperature=100−36=64
∘
C
Final Answer:
The temperature at 60 cm from the hotter end is 64°C

The answer is supposed to be C because the question said 60cm from the hotter side




