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A person uses a waterproof computer to generate a simple musical tone underwater. It takes 8 s for the tone to travel 3,000 m. If the frequency of the tone is 750 Hz, what is the wavelength of the sound?


Group of answer choices

1.5 m

2 m

0.5 m

1 m

Respuesta :

Answer:

[tex]\lambda=0.5m[/tex]

Explanation:

Wavelength is the distance between two successive crests of a wave or the distance it takes before the wave's shape repeats itself.

It's given as the velocity of the wave divided by it's frequency.

[tex]\lambda[/tex]-Distance between any two wave crests.

[tex]v[/tex]-velocity, speed at it the wave is moving in a given direction.

[tex]f[/tex]-frequency, number of waves going through a certain point in a acertain time. Measured in cycles/sec or Hz

f=750Hz

[tex]\lambda=\frac{v}{f}\\v=\frac{3000}{8}=375m/s\\\lambda=\frac{375m/s}{750Hz}\\\lambda=0.5m[/tex]