A student holds one end of a long rope fixed to a wall and moves her hand up and down…

PHYSICS · Subjective · A Level · Physics · Waves · Waves

Problem

A student holds one end of a long rope fixed to a wall and moves her hand up and down to generate transverse waves. She makes 3030 complete up-down movements in 18 s18\,\text{s}. The distance between successive crests on the rope is measured as 0.50 m0.50\,\text{m}. The length of the rope from the student’s hand to the wall is 12.5 m12.5\,\text{m}. Answer the following questions. (i) Determine the frequency of the waves produced on the rope. (ii) Calculate the speed of the waves along the rope. (iii) How much time will a crest take to travel from the student’s hand to the wall? (iv) How long after starting will the student first feel the reflected crest returning from the wall?

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