A 170 Hz sound wave in air has a wavelength of 2.0 m. The frequency is now doubled to 340 Hz. What is the new wavelength?

A. 4.0 m

B. 3.0 m

C. 2.0 m

D. 1.0 m

The answer is option D

Explanation:

To solve the question, you need to bring to mind the wave equation:

Velocity = Frequency * wavelength

Step 1: Find the velocity for the first wavelength given:

Velocity (V) = frequency * wavelength

V = 170Hz * 2.0m

V = 340m/s

Step 2: Equate the velocity obtained to the wave equation using the second wavelength given

Velocity = Frequency * Wavelength

340m/s = 340Hz * Wavelength

Wavelength = 340m/s / 340Hz

Wavelength = 1 m.