Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

A seismic wave travels from rock into sea water. In rock, the wave has a speed of 3,950 m/s and a wavelength of 560m. In seawater, the wave has a speed of 1,500 m/s.

Calculate the wavelength of the seismic wave in seawater.
Write your answer to the nearest tenth.

Sagot :

hamzaahmeds

This question involves the concepts of wave speed, wavelength, and frequency.

The frequency of the wave in seawater will be "2.68 Hz".

FREQUENCY

The relationship between speed, wavelength, and frequency of the wave can be given by the following formula:

[tex]v=f\lambda\\\\\lambda =\frac{v}{f}[/tex]

Here, the wavelength of the wave is a constant property. Therefore,

[tex]\frac{v_1}{f_1}=\frac{v_2}{f_2}[/tex]

where,

  • v₁ = speed of the wave in the rock = 3950 m/s
  • v₂ = speed of the wave in the seawater = 1500 m/s
  • λ = wavelength = 560 m
  • f₁ = frequency of the wave in the rock = [tex]f_1=\frac{v_1}{\lambda}=\frac{3950\ m/s}{560\ m} = 7.05\ Hz[/tex]
  • f₂ = frequency of the wave in the seawaater = ?

Therefore,

[tex]\frac{3950\ m/s}{7.05\ Hz}=\frac{1500\ m/s}{f_2}\\\\f_2=\frac{(1500\ m/s)(7.05\ Hz)}{3950\ m/s}[/tex]

f₂ = 2.68 Hz

Learn more about wavelength here:

https://brainly.com/question/7143261

Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.