High School

Imagine two students are holding a long rope between their hands. A student at one end generates a transverse wave at a certain frequency and amplitude that moves along the rope with a certain speed to the other end.

What should the students do if they want to increase the speed of the wave?

A. Generate a wave with a higher frequency.
B. Generate a wave with a lower frequency.
C. Generate a wave with greater amplitude.

Answer :

Final answer:

To increase the speed of a transverse wave on a rope, the students should increase the tension in the rope, as neither frequency nor amplitude directly affects wave speed.

Explanation:

If the students want to increase the speed of a transverse wave on a rope, they should adjust the tension in the rope. The speed of a wave in a rope is determined by the tension of the rope and the mass per unit length of the rope. Neither the frequency nor the amplitude of the wave directly affects its speed. Therefore, the best course of action to increase wave speed along the rope would be to increase the tension, likely by pulling the rope tighter. Changing the frequency or amplitude without altering the rope's tension or mass per unit length will not impact wave speed.

Final answer:

To increase the speed of a wave on a rope, the rope should be more tensioned. The speed of the wave does not depend on the wave's frequency or amplitude.

Explanation:

In order to increase the speed of the wave on the rope, the students need to tension the rope even more. This is because the speed of a wave in a medium (like a rope) depends on the properties of that medium. In this case, the waves are being transmitted through the rope - a more taut rope allows for the faster transmission of the wave. The frequency and amplitude of the wave do not influence the wave's speed - frequency affects the number of waves produced per second, and amplitude affects the height (or depth) of the waves, not their speed.

Learn more about Wave Speed here:

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