Question

(Photo of the word problem) ~ h t t p s : //imgur. c o m/a/cZ0htfE
The figure above on the left shows a uniformly thick rope hanging vertically from an oscillator that is turned off. When the oscillator is on and set at a certain frequency, the rope forms the standing wave shown above on the right. P and Q are two points on the rope.

a) The tension at point P is greater than the tension at point Q. Briefly explain why.

b) A student hypothesizes that increasing the tension in a rope increases the speed at which waves travel along the rope. In a clear coherent paragraph-length response that may also contain figures and/or equations, explain why the standing wave shown above supports the student's hypothesis.