A vibrator moves one end of a rope up and down to generate a wave. The tension in the rope is 58 N. The frequency is then doubled. To what value must the tension be adjusted, so the new wave has the same wavelength as the old one?

Question

would it be doubled?

Answer 1

wavespeed= constant*sqrt(tension/constant1)

freq*wavelength=constant*sqr(tension)
so if freq is doubled, wavelength same, tension must have went up by 4? check my thinking.