Question

Calculate the frequency of a 2.5m-long sound wave if it is traveling through the air at room temperature (v = 345 m/s). Find the velocity, frequency, and wavelength.

a) Velocity = 1380 m/s, Frequency = 552 Hz, Wavelength = 2.5 m
b) Velocity = 345 m/s, Frequency = 1380 Hz, Wavelength = 2.5 m
c) Velocity = 552 m/s, Frequency = 1380 Hz, Wavelength = 2.5 m
d) Velocity = 1380 m/s, Frequency = 2.5 Hz, Wavelength = 552 m

Answer 1

The frequency of a 2.5m-long sound wave traveling through the air at room temperature with a velocity of 345 m/s is 138 Hz. The correct option is 'Velocity = 345 m/s, Frequency = 138 Hz, Wavelength = 2.5 m'.

Step-by-step explanation:

To calculate the frequency of a 2.5m-long sound wave traveling through the air at room temperature, first identify that the velocity (v) is given as 345 m/s and the wavelength (λ) is 2.5 m. The formula to find the frequency (f) is f = v / λ.

To find the frequency of a 2.5m-long sound wave: f = 345 m/s / 2.5 m = 138 Hz.

So, applying the above formula, we get a frequency of 138 Hz, which indicates the correct option is: Velocity = 345 m/s, Frequency = 138 Hz, Wavelength = 2.5 m.

Therefore, the correct choice from the options provided is b) Velocity = 345 m/s, Frequency = 138 Hz, Wavelength = 2.5 m.