Question

maya creates transverse waves during her exercise with the battle ropes. select the true statements about transverse waves. in a transverse wave, the wave and the particles of matter move in the same direction. if a transverse waves amplitude increases, the energy carried by the wave increases. if a transverse waves frequency increases and its speed is the same, its wavelength decreases. a transverse wave carries energy.

Explanation:

1. For the statement "In a transverse wave, the wave and the particles of matter move in the same direction": In a transverse wave, the particles of the medium vibrate perpendicular to the direction of wave propagation. So this statement is false.
2. For the statement "If a transverse wave's amplitude increases, the energy carried by the wave increases": The energy of a wave is proportional to the square of its amplitude ($E\propto A^{2}$). So if amplitude increases, energy increases. This statement is true.
3. For the statement "If a transverse wave's frequency increases and its speed is the same, its wavelength decreases": The wave equation is $v = f\lambda$, where $v$ is speed, $f$ is frequency and $\lambda$ is wavelength. If $v$ is constant and $f$ increases, then $\lambda=\frac{v}{f}$ will decrease. This statement is true.
4. For the statement "A transverse wave carries energy": All waves (including transverse waves) transfer energy from one point to another. This statement is true.

So the true statements are:

• If a transverse wave's amplitude increases, the energy carried by the wave increases.
• If a transverse wave's frequency increases and its speed is the same, its wavelength decreases.
• A transverse wave carries energy.

Answer:

• If a transverse wave's amplitude increases, the energy carried by the wave increases.
• If a transverse wave's frequency increases and its speed is the same, its wavelength decreases.
• A transverse wave carries energy.