Respuesta :

Given:

  • λ= 2.3 cm
  • f= 3.7 Hz
  • v= ?

Note that:

  • λ: wavelength
  • f: frequency
  • v: velocity

To find:

  • The speed of the given wave.

Solution:

  • Wave velocity is the distance the wave travels per second or in the given amount time, which is also known as wave speed.

First we'll have to convert centimeter into meter.

[tex]\large\boxed{\bold{1 \: cm= 100 \: m}}[/tex]

So we'll have to divide 2.3 cm by 100.

[tex]\frac{2.3}{100}[/tex]

[tex]\bold{= 0.023 \: m}[/tex]

Now, we can find the speed of the wave.[tex]\large \boxed{\bold{v= {f}{λ}}}[/tex]

In this question all the values are given so we'll simply have to substitute and solve.

Let's solve!

To find the speed, we'll have to multiply the wavelength and frequency.

Substitute the values according to the formula.

[tex]v= 0.023\times 3.7[/tex]

[tex]\large\boxed{\bold{v= 0.0851 \: m/s}}[/tex]

Therefore, the speed of the given wave is 0.0851 m/s

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