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
The left end of a copper rod (length = 20 cm , area of cross...
The left end of a copper rod (length , area of cross section ) is kept at 20^{}^{{}^{\circ}} \text{C} while the right end is kept at 80^{}^{{}^{\circ}} \text{C}. Ignoring any heat loss due to radiation, determine the temperature at a point from the left end. Thermal conductivity of copper = 385 \text{ W m}^{-1} ^{}^{{}^{\circ}} \textC^{-1}.
Options
- A33^{}^{{}^{\circ}} \text{C}
- B64^{}^{{}^{\circ}} \text{C}
- C47^{}^{{}^{\circ}} \text{C}
- D53^{}^{{}^{\circ}} \text{C}
Correct answer
D. 53^{}^{{}^{\circ}} \text{C}
Step-by-step solution
In steady state, the temperature gradient along a uniform rod is constant.
The temperature at a distance from the left end is given by
Substituting the given values T_L = 20^{}^{{}^{\circ}} \text{C}, T_R = 80^{}^{{}^{\circ}} \text{C}, , and
T = 20 + 33 = 53^{}^{{}^{\circ}} \text{C}
The temperature at a distance from the left end is given by
Substituting the given values T_L = 20^{}^{{}^{\circ}} \text{C}, T_R = 80^{}^{{}^{\circ}} \text{C}, , and
T = 20 + 33 = 53^{}^{{}^{\circ}} \text{C}