From the following statements about mechanical waves, identify those that are true for transverse mechanical waves only, those that are true for longitudinal mechanical waves only, and those that are true for both types of waves.1. When a wave travels through a medium, the wave speed will depend on a restoring force in the medium. 2. The wave speed is equal to the wavelength times the frequency. 3. When a wave travels through a medium, the wave speed will depend on an inertial property of that medium. 4. When a wave travels through a medium, the particles in that medium vibrate in a direction perpendicular to the direction the wave travels. 5. When a wave travels through a medium, the particles in that medium vibrate in a direction parallel to the direction the wave travels

1- both mechanical waves

2- both mechanical waves

3. Both mechanical waves

4- Transverse wave

5- Longitudinal wave

Explanation:

Waves are known to be a disturbance which travels through a medium and transfered energy from one point to another without causing any permanent displacement of the medium itself. Standing or progressive waves are categorized depending on the vibration of the medium and direction of the wave generated. The medium through this waves travelled also depends on the restoring force in the medium.

Standing or progressive waves are classified into two;

- Longitudinal wave

- Transverse wave

Longitudinal wave is a wave motion that occurs when the vibration of the medium is parallel to the direction of the wave.

Transverse wave is a wave motion that occurs when the vibration of the medium is perpendicular to the direction of the wave.

Wave moves with a certain speed or velocity v which is expressed as a function of its frequency f and wavelength λ i.e v = fλ

Based on the above statements, the following types of waves are applicable to each statements

1. When a wave travels through a medium, the wave speed will depend on a restoring force in the medium (both mechanical waves)

2. The wave speed is equal to the wavelength times the frequency for both mechanical waves

3. When a wave travels through a medium, the wave speed will depend on an inertial property of that medium (both mechanical waves)

4. When a wave travels through a medium, the particles in that medium vibrate in a direction perpendicular to the direction the wave travels (This is true for transverse wave)

5. When a wave travels through a medium, the particles in that medium vibrate in a direction parallel to the direction the wave travels (This is true for longitudinal waves)