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A long, taut string is attached to a distant wall (see figure). A demonstrator moves their hand and creates a very small amplitude pulse that reaches the wall in a certain amount of time t0. A small red dot is painted on the string halfway between the demonstrator's hand and the wall.

For each part below, select which of the listed actions taken by itself will produce the desired result. More than one answer may be correct, so select all the correct statements. (Tip: it might be possible to test some of these actions using this simulation https://phet.colorado.edu/sims/html/wave-on-a-string/latest/wave-on-a-string_en.html.)

How, if at all, can the demonstrator repeat the original experiment to produce:

a. A pulse that takes a longer time to reach the wall?

Move their hand more quickly (but still only up and down once by the same amount)
Move their hand more slowly (but still only up and down once by the same amount)
Move their hand a larger distance (but still only up and down in the same amount of time)
Move their hand a smaller distance (but still only up and down in the same amount of time)
Use a heavier string of the same length under the same tension
Use a lighter string of the same length under the same tension
Use a string of the same density but decrease the tension
Use a string of the same density but increase the tension

b. A pulse that is wider than the original pulse?

Move their hand more quickly (but still only up and down once by the same amount)
Move their hand more slowly (but still only up and down once by the same amount)
Move their hand a larger distance (but still only up and down in the same amount of time)
Move their hand a smaller distance (but still only up and down in the same amount of time)
Use a heavier string of the same length under the same tension
Use a lighter string of the same length under the same tension
Use a string of the same density but decrease the tension
Use a string of the same density but increase the tension

c. A pulse that makes the red dot travel a further distance than in the original experiment?

Move their hand more quickly (but still only up and down once by the same amount)
Move their hand more slowly (but still only up and down once by the same amount)
Move their hand a larger distance (but still only up and down in the same amount of time)
Move their hand a smaller distance (but still only up and down in the same amount of time)
Use a heavier string of the same length under the same tension
Use a lighter string of the same length under the same tension
Use a string of the same density but decrease the tension
Use a string of the same density but increase the tension
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