Our high school student is thinking about waves on a string, and isconfused once

Question

Our high school student is thinking about waves on a string, and isconfused once again. He knows the formula for wave velocity: wavevelocity equals wavelength times frequency. What he's confusedabout is the interpretation of that equation.

Your job in this essay is to give that interpretation. Your answershould include two things: 1. A physical reason why the wavevelocity should depend solely on the string itself, not on (say)how quickly someone moves one end of the string up and down tocreate the waves. 2. A verbal reason why (for example) thewavelength must get shorter if the person making the waves moveshis hand up and down more quickly (you can't just point to the wavevelocity equation and say "as frequency goes up, wavelength must godown").

Explanation / Answer

   the relation between the velocity of wave inthe string, frequency and the wavelength is given by    v = f    v    the speed in the wave is direrctlyproportional to the wavelength of the wave

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