Question

If the distance from node to node below is 50 cm, what would the speed of this 343 Hz wave be?

a) 171.5 m/s
b) 6.86 m/s
c) 343 m/s
d) 34.3 m/s

Answer 1

Using the formula v = f λ, where the frequency (f) is 343 Hz and the wavelength (λ) is 1 m (obtained by doubling the node-to-node distance), the speed of the wave is calculated as 343 m/s.

Step-by-step explanation:

The question pertains to calculating the speed of a wave based on its frequency and the distance between nodes, which corresponds to half of the wavelength. Given the frequency (f) is 343 Hz and the distance from node to node is 50 cm (or 0.5 m, which is half the wavelength), the full wavelength (λ) is 1 m. To find the speed (v) of the wave, we use the formula v = f λ.Thus, v = 343 Hz × 1 m = 343 m/s. The correct answer to the question is c) 343 m/s.