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

Answer :

Answer:

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.

Ritmeks

The wavelength is 1.0 meters

The first step is to find the velocity

velocity= frequency × wavelength

= 170 × 2

= 340

The new wavelength can be calculated as follows

340= 340 ×wavelength

wavelength= 340/340

= 1 meters

Hence the new wavelength is 1.0 meters

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