Which diagram below best representsthe shape ofthe rope when both puls

In summary, the diagram shows two pulses traveling towards each other at equal speed in a rope. The last option best represents the shape of the rope when both pulses are in region AB, as at this point the two pulses have collided and the resulting interference creates a flat line. This is due to the fact that the peaks of the two waves overlap by λ/2, causing destructive interference. The waves continue past each other until the negative parts overlap, creating constructive interference and a negative peak twice the height. This also occurs when the waves are only partially within the region AB.
  • #1
cmkc109
103
0

Homework Statement



The diagram shows two pulses, each of length , traveling toward each other at equal speed in a rope

Which diagram below best represent sthe shape ofthe rope when both pulses are in region AB?

Homework Equations





The Attempt at a Solution



The answer is the last option, it will be a flat line

but this looks like constructive to me, meaning they should add up since they are the same when approaching...

greatly appreciated if someone can explain with a diagram ,thanks


And same as #73, i should don't know how to picture how these things work ...
 

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  • #2
Initially the two +ve peaks collide and you do indeed have constructive interference and a +ve peak twice the height BUT when that happens the two waves only overlap by λ/2 and they aren't entirely within the region AB.

The +ve peaks continue past each other until the +ve peak of one overlaps with the negative peak of the other and you get destructive interference and a flat line. At this point both waves are within AB. So flat line is the answer.

If you let the clock run further the waves keep going until the -ve part of one overlaps with the -ve part of the other. You get constructive interference again only this time a -ve peak twice the height forms. Again this happens when they overlap by λ/2 and they aren't entirely within the region AB.
 
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1. What is the purpose of the rope diagram?

The rope diagram is used to visually represent the shape of a rope when both ends are being pulsed simultaneously.

2. How is the rope represented in the diagram?

The rope is usually represented as a straight line with arrows on either end to indicate the direction of the pulse.

3. How do the pulses affect the shape of the rope?

The pulses cause the rope to form a standing wave pattern, with areas of high and low amplitude depending on the frequency of the pulses.

4. What factors can affect the shape of the rope in the diagram?

The shape of the rope can be affected by the frequency and amplitude of the pulses, as well as the tension and length of the rope.

5. Can the rope diagram be applied to other systems?

Yes, similar diagrams can be used to represent standing wave patterns in various systems, such as strings, air columns, and electromagnetic waves.

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