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. a transverse wave carries energy. 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.

Explanation:

• Statement 1: In a transverse wave, particles of matter move perpendicular to the direction of wave propagation, not in the same direction. So this statement is false.
• Statement 2: All waves, including transverse waves, carry energy. This is a fundamental property of waves. So this statement is true.
• Statement 3: The energy \(E\) of a wave is related to its amplitude \(A\) (for example, for a simple harmonic wave \(E\propto A^{2}\)). When the amplitude increases, the energy carried by the wave increases. So this statement is true.
• Statement 4: The wave - speed formula is \(v = f\lambda\), where \(v\) is the wave speed, \(f\) is the frequency, and \(\lambda\) is the wavelength. If \(v\) is constant (\(v = f\lambda\Rightarrow\lambda=\frac{v}{f}\)), when \(f\) increases, \(\lambda\) decreases. So this statement is true.

Answer:

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