I have to figure out if the following are true or false in order to solve an equation. But I am getting at least two wrong so I can't get the next one right.

Question

A)If you increase the tension in a string, the frequency of its fundamental vibration will get lower
B) If the fundamental vibration of a string has wavelength lambda, then the next higher mode will have wavelength lambda/2
C) If an ideal string can vibrate in a pure standing wave with fundamental frequency f, then (with no changes in length, tension, or material) it can also be made to vibrate in a pure standing wave with a frequency of f/4
D) If an ideal string can vibrate in a pure standing wave with frequency f, then (with no changes in length, tension, or material) it can also be made to vibrate in a pure standing wave with frequency of 3f
E) If you have a standing wave with frequency 5 times the fundamental, there are 4 internal nodes (not counting nodes at the end of the string)

Answer 1

F
T
T
T
T