Concepts Of Physics MCQ Edition [Volume 2]
- Exam
- Concepts Of Physics MCQ Edition [Volume 2]
- Subject
- Physics
- Chapter
- Heat and Temperature
Concepts Of Physics MCQ Edition [Volume 2] · Physics · Heat and Temperature
On a winter night when the temperature is 0^ ^ ^ C , a concrete...
On a winter night when the temperature is 0^{}^{{}^{\circ}} \text{C}, a concrete slab has a length of . Determine the length of the slab on a summer day when the temperature reaches 35^{}^{{}^{\circ}} \text{C}. The coefficient of linear expansion for concrete is 1.0 \times 10^{-5} ^{}^{{}^{\circ}} \textC^{-1}.
Options
- A
- B
- C
- D
Correct answer
B.
Step-by-step solution
Initial length of the concrete slab,
Initial temperature, T_1 = 0^{}^{{}^{\circ}} \text{C}
Final temperature, T_2 = 35^{}^{{}^{\circ}} \text{C}
Change in temperature, \Delta T = T_2 - T_1 = 35^{}^{{}^{\circ}} \text{C}
Coefficient of linear expansion, \alpha = 1.0 \times 10^{-5} ^{}^{{}^{\circ}} \textC^{-1}
Using the formula for linear expansion:
The final length of the slab is:
Initial temperature, T_1 = 0^{}^{{}^{\circ}} \text{C}
Final temperature, T_2 = 35^{}^{{}^{\circ}} \text{C}
Change in temperature, \Delta T = T_2 - T_1 = 35^{}^{{}^{\circ}} \text{C}
Coefficient of linear expansion, \alpha = 1.0 \times 10^{-5} ^{}^{{}^{\circ}} \textC^{-1}
Using the formula for linear expansion:
The final length of the slab is: