Answered

Explore a wide range of topics and get answers from experts on IDNLearn.com. Ask anything and receive thorough, reliable answers from our community of experienced professionals.

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 :

Hamzaahmedsidn

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

We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Your questions find clarity at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.