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:

• For the first statement: In a transverse wave, the particles of matter move perpendicular to the direction of wave propagation, not in the same direction. So this statement is false.
• For the second statement: The energy of a wave (including transverse waves) is related to its amplitude. The formula for the energy of a wave \(E\propto A^{2}\) (where \(A\) is the amplitude). So if the amplitude \(A\) increases, the energy \(E\) carried by the wave increases. This statement is true.
• For the third statement: The wave - speed formula is \(v = f\lambda\) (where \(v\) is the speed, \(f\) is the frequency, and \(\lambda\) is the wavelength). If \(v\) is constant (\(v = f_{1}\lambda_{1}=f_{2}\lambda_{2}\)), when \(f\) (frequency) increases (\(f_{2}>f_{1}\)), then \(\lambda\) (wavelength) must decrease (\(\lambda_{2}<\lambda_{1}\)). This statement is true.
• For the fourth statement: All waves (including transverse waves) carry energy from one place to another. This statement is true.

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."