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Intensity and amplitude of a wave - EK question

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p135 in the physics book

As the force with which the hammer strikes the string is increased, the amplitude of the string's motion is increased. Which of the following properties of the wave on the string will remain the same as the force of the hammer is increased?

I. Frequency
II. Wavelength
III. Velocity

Answer is apparently all three will remain the same. How come? Intensity = A^2. And on p124 it states that intensity is dependent on density of the medium, wave freq, and the wave...

Intensity and amplitude of a wave - EK question

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