Question

maya creates transverse waves during her exercise with the battle ropes.
select the true statements about transverse waves.
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.
in a transverse wave, the wave and the particles of matter move in the
same direction.

Explanation:

• For the first statement: The energy of a wave is related to its amplitude. Higher amplitude means more energy.
• For the second statement: Using the wave formula \(v = f\lambda\) (where \(v\) is speed, \(f\) is frequency, \(\lambda\) is wavelength), if \(v\) is constant (\(v_1=v_2\)), then \(f_1\lambda_1 = f_2\lambda_2\). So if \(f\) increases (\(f_2>f_1\)), \(\lambda\) decreases (\(\lambda_2<\lambda_1\)).
• For the third statement: All waves (including transverse waves) carry energy as they transfer disturbance.
• For the fourth statement: In a transverse wave, particles of matter move perpendicular to the direction of wave propagation.

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.