ANSWER:
The velocity of the wavelength is
![2600 \mathrm{m} / \mathrm{s}](https://img.qammunity.org/2020/formulas/physics/high-school/tmzzndd6l885fpmkgo99pj5nwkjejskxpk.png)
Step-by-step 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,
![v=f \lambda](https://img.qammunity.org/2020/formulas/physics/high-school/bmq60pnt9sldnjma33qczkgnwmmgsk3ir6.png)
Where f is the frequency and λis the wavelength of the wave.
Finding the frequency using time period,
![f=(1)/(T)](https://img.qammunity.org/2020/formulas/physics/middle-school/70n1ge4t9yjxlmxiba3rirr9m8q57zz3ve.png)
Substituting the value of time period we have,
![f=(1)/(0.005)](https://img.qammunity.org/2020/formulas/physics/high-school/zdwebcxoa30k0jyi40v8deuttu5l8kpfk3.png)
![f=200 \mathrm{Hz}](https://img.qammunity.org/2020/formulas/physics/high-school/gg6y1gwgawcbvgeag7q0de3ppltyl1detk.png)
Now,
![v=f \lambda](https://img.qammunity.org/2020/formulas/physics/high-school/bmq60pnt9sldnjma33qczkgnwmmgsk3ir6.png)
![v=200 * 13](https://img.qammunity.org/2020/formulas/physics/high-school/kezrjcn8364n0982lwx1bs0duybz9z0tdq.png)
![v=2600 \mathrm{m} / \mathrm{s}](https://img.qammunity.org/2020/formulas/physics/high-school/z81defqlk88oonhrx49f7f20w29mmf4u99.png)
Result:
The velocity of the wave with wavelength 13 meters and time period 0.005seconds is
.