Concepts Of Physics MCQ Edition [Volume 2]
- Exam
- Concepts Of Physics MCQ Edition [Volume 2]
- Subject
- Physics
- Chapter
- Heat Transfer
Concepts Of Physics MCQ Edition [Volume 2] · Physics · Heat Transfer
Consider the situation depicted in the figure. The frame is...
Consider the situation depicted in the figure. The frame is constructed from the same material and possesses a uniform cross-sectional area throughout. Determine the amount of heat flowing per second through a cross section of the bent part, given that the total heat extracted per second from the end at 100^{}^{{}^{\circ}} \text{C} is .


Options
- A
- B
- C
- D
Correct answer
B.
Step-by-step solution
The thermal circuit consists of a parallel combination of the straight middle part and the bent part, connected in series with the two end parts.
The length of the straight middle part is .
The length of the bent part is .
Since the frame is made of the same material and has a uniform cross-sectional area, the thermal resistance of any part is proportional to its length ().
Let the thermal resistance of the straight part be and that of the bent part be , where is a constant.
The total heat current flowing through the system is given as .
In a parallel combination, the heat current divides inversely as the thermal resistance. The heat current flowing through the bent part is:
Substituting the values:
The length of the straight middle part is .
The length of the bent part is .
Since the frame is made of the same material and has a uniform cross-sectional area, the thermal resistance of any part is proportional to its length ().
Let the thermal resistance of the straight part be and that of the bent part be , where is a constant.
The total heat current flowing through the system is given as .
In a parallel combination, the heat current divides inversely as the thermal resistance. The heat current flowing through the bent part is:
Substituting the values: