Question

maya creates transverse waves during her exercise with the battle ropes.

select the true statements about transverse waves.
if a transverse waves frequency increases and its speed is the same, its wavelength decreases.
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.
a transverse wave carries energy.

Explanation:

1. For wave speed, frequency, and wavelength, the relationship is $v = f\lambda$. If $v$ is constant, increasing $f$ means $\lambda$ must decrease, so this statement is true.
2. In transverse waves, particles move perpendicular (not same direction) to the wave's travel direction, so this statement is false.
3. Wave energy is proportional to the square of amplitude ($E \propto A^2$), so increasing amplitude increases energy, making this statement true.
4. All waves, including transverse waves, transfer energy without transporting matter, so this statement is true.

Answer:

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