One end of a rope is tied to a tree, the other is in your hand, and you\'re keep

Question

One end of a rope is tied to a tree, the other is in your hand, and you're keeping the rope taut and horizontal. You can send pulses down the rope by jerking your hand up and down quickly. Suppose you send one pulse down the rope, and then a second, this time making a more rapid up-and-down jerk. Which pulse (if either) travels more quickly along the rope? My original answer: Neither because when the rope is jerked more rapidly it will reach same distance as the rope that is less jerked, during the same time period. FeedBack: The two quantities that control the speed of a wave on a string are the tension in the string and the mass density of the string. The explanation should be based on whether/how these two quantities are different after you've finished generating these two pulses. Does this mean : Nether because after the rope is jerked the tension and mass return to same as 1st pluse? I'm confused. Help?

Explanation / Answer

your explanation is right but a slight mistake..since 2nd wave is generated on the same string,the 1st wave reaches 1st because velocity of both the pulses is same and there is a time lag between the 2 pulses. The wavelength of a wave does not affect the speed at which the wave travels. Both Wave C and Wave D travel at the same speed. The speed of a wave is only altered by alterations in the properties of the medium through which it travels.

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