Question

When the temperature of the air is 25°C, the velocity of a sound wave traveling through the air is approximately

A. 347 m/s.

B. 332 m/s.

C. 320 m/s.

D. 357 m/s.

Answer 1

Answer ; The correct answer is : 346 m/s .

Sound is a type of longitudinal wave , which is produced when a matter compress or refracts .

Speed of sounds depends on factors like medium , density , temperature etc .

Effect of Temperature on speed of sounds :

When the temperature increases , molecules gains energy and they starts vibrating and with higher temperature vibration becomes fast . So the waves of sounds can travel faster due to faster vibrations . Hence , speed of sounds is directly proportional to the temperature or speed of sounds increases with increase in temperature .

The speed of sounds at 0⁰C is 331
`(m)/(s)`

The relation between speed of sound and temperature is given as :

`V = 331 (m)/(s) + ( 0.6 (m)/(s- ^0C) * T )`

Given : Temperature = 25 ⁰ C

Plugging values in formula =>

`V = 331 (m)/(s) + (0.6 (m)/(s-^0C) * 25^0C)`

`V = 331 (m)/(s) + 15 (m)/(s)`

`V = 346 (m)/(s)`