(please help me)

If a wave has a wavelength of 13 meters and a period of 0.005, what's the velocity of the wave?
A. 260 m/s
B. 1,300 m/s
C. 2,600 m/s
D. 1,560 m/s
(please dont type any wrong answer on porpuse)

Respuesta :

Answer:2,600 m/s

Explanation:13/ 0.005=2,600.

ANSWER:

The velocity of the wavelength is [tex]2600 \mathrm{m} / \mathrm{s}[/tex]

Explanation:

Given:

The wavelength of the wave= 13 meters

Time period of the wave=0.005seconds

To find:

velocity of the wave=?

Solution:

The velocity of the wave is defined as the product of frequency and wavelength.

Mathematically,

[tex]v=f \lambda[/tex]

Where f is the frequency and λis the wavelength of the wave.

Finding the frequency using time period,

[tex]f=\frac{1}{T}[/tex]

Substituting the  value of time period we have,

[tex]f=\frac{1}{0.005}[/tex]

[tex]f=200 \mathrm{Hz}[/tex]

Now,

[tex]v=f \lambda[/tex]

[tex]v=200 \times 13[/tex]

[tex]v=2600 \mathrm{m} / \mathrm{s}[/tex]

Result:

The velocity of the wave with wavelength 13 meters and time period 0.005seconds is [tex]2600 \mathrm{m} / \mathrm{s}[/tex].

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