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 [tex] \frac{m}{s} [/tex]
The relation between speed of sound and temperature is given as :
[tex] V = 331 \frac{m}{s} + ( 0.6 \frac{m}{s- ^0C} * T ) [/tex]
Given : Temperature = 25 ⁰ C
Plugging values in formula =>
[tex] V = 331 \frac{m}{s} + (0.6 \frac{m}{s-^0C} * 25^0C) [/tex]
[tex] V = 331 \frac{m}{s} + 15 \frac{m}{s} [/tex]
[tex] V = 346 \frac{m}{s} [/tex]