The speed of sound in air at 0 degree C is 332m/s.If it increases at the rate of 0.6 m/s per degree, what will be the temperature when the velocity has increased to 334 m/s ?
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Answer:
Explanation:
Intial velocity(u)⇒ 332m/s
Final velocity(v)⇒334 m/s
Speed of sound in air at 0⁰C ⇒ 332m/s
Speed increases at a rate of 0.6m/s per degree
Temperature at 344 m/s ⇒ T⁰c
Difference in velocities ⇒v-u
⇒344 m/s - 332 m/s
⇒12 m/s
NOW WE KNOW THAT
Increase in temperature corresponding to the increase in velocity⇒
Difference in velocities / increases at the rate of m/s per degree
∴ 12/0.6
⇒120/6
⇒20⁰C
∴temperature at velocity 344m/s ⇒speed of sound in air at degree C + Increase in temperature corresponding to the increase in velocity
⇒ 0⁰C + 20⁰C
⇒ 20⁰C
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