A climbing rope is hanging from the ceiling in a gymnasium. A student grabs the

Question

A climbing rope is hanging from the ceiling in a gymnasium. A student grabs the end of the rope and begin s moving it back and forth with a constant amplitude and frequency. A transverse wave moves up the rope. Which of the following statements describing the speed of the wave is true?

A) The speed of the wave decreases as it moves upward.

B) The speed of the wave increases as it moves upward.

C) The speed of the wave is constant as it moves upward.

D) The speed of the wave does not depend on the mass of the rope.

E) The speed of the wave depends on the amplitude.

Explanation / Answer

B) The speed of the wave increases as it moves upward.

because, wave speed, v = sqrt(T/mue)

here, T is tension and mue is linear mass density.

as we go up tension in the rope increases slightly if the rope does not have negligible mass.so, wave speed increases.

But if we neglect the mass of the rope the speed of the wave will be constant.

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