Question

A 60cm long string of an ordinary guitar is tuned to produce the note a4 (frequency 440hz) when vibrating in its fundamental mode. if the speed of sound in the surrounding air is 344 m/s, find the wavelength of the sound wave produced in the air by the vibration of the string

0.99m
0.56m
0.78m
1.12m

Answer 1

Answer: 1. B) 720 N

2. D) 2500 m

3. D) 408 Hz

4. C) 4m

5. A) 246 hz

6. D) 31st

7. B) the frequency of the sound is 100 Hz

8. C) 0.78 m

9. B) 16 Hz

10. B) 311 m/s

Answer 2

0.78 m

Step-by-step explanation:

The relationship between wavelength and frequency of a wave is given by

`v=f \lambda`

where

v is the speed of the wave

f is the frequency

`\lambda` is the wavelength

For the sound wave in this problem, we have

`f=440 Hz` is the frequency

v = 344 m/s is the speed of sound in air

Substituting into the equation and re-arranging it, we find the wavelength:

`\lambda=(v)/(f)=(344 m/s)/(440 Hz)=0.78 m`