Concepts Of Physics MCQ Edition [Volume 1]
- Exam
- Concepts Of Physics MCQ Edition [Volume 1]
- Subject
- Physics
- Chapter
- Sound Waves
Concepts Of Physics MCQ Edition [Volume 1] · Physics · Sound Waves
Determine the temperature at which the speed of sound is twice its...
Determine the temperature at which the speed of sound is twice its value at 0^{}^{{}^{\circ}} \text{C}.
Options
- A819^{}^{{}^{\circ}} \text{C}
- B1092^{}^{{}^{\circ}} \text{C}
- C273^{}^{{}^{\circ}} \text{C}
- D546^{}^{{}^{\circ}} \text{C}
Correct answer
A. 819^{}^{{}^{\circ}} \text{C}
Step-by-step solution
The speed of sound in a gas is given by , which implies , where is the absolute temperature.
Let be the speed at T_1 = 0^{}^{{}^{\circ}} \text{C} = 273 \text{ K} and be the speed at temperature .
Given , we have:
Substituting :
Converting to Celsius:
T_2 = 1092 - 273 = 819^{}^{{}^{\circ}} \text{C}
Let be the speed at T_1 = 0^{}^{{}^{\circ}} \text{C} = 273 \text{ K} and be the speed at temperature .
Given , we have:
Substituting :
Converting to Celsius:
T_2 = 1092 - 273 = 819^{}^{{}^{\circ}} \text{C}