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Anettt [7]
3 years ago
15

A string with a length of 0.75 m is fixed at both ends. (a) What is the longest possible wavelength for the traveling waves that

can interfere to form a standing wave on this string? (b) If waves travel with a speed of 130 m/s on this string, what is the frequency associated with this longest wavelength?
Physics
1 answer:
viva [34]3 years ago
5 0

Answer:

a) Longest wavelength is: \lambda_{1}=2*0.75=1.5\: m

b) The frequency associated with this longest wavelength is: f=86.7\: Hz

Explanation:

a)

The wavelength equation of a standing wave is given by:

\lambda_{n}=\frac{2}{n}L

Where:

  • L is the length of the string
  • n is a natural number

We use n=1 to find the longest possible wavelength, so we will have:

\lambda_{1}=2L

\lambda_{1}=2*0.75=1.5\: m

b)

The speed of the wave is given by:

v=f\lambda

So we just need to find the f (frequency).

f=\frac{v}{\lambda}

f=\frac{130}{1.5}

f=86.7\: Hz

I hope it helps you!

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