Two strings with the same mass density are stretched between the same posts. If the fundamental frequency of the first string is twice that of the second, what is the ratio of tension of the first string to the tension of the second, T1/T2

Does the distance travelled by an oscillating mass between times t=0 and t2 equal the displacement of the particle over the same time period if t2> t/2? hint: consider a sine wave starting at t1=0, then consider a closing wave starting at t1=0, for your explanation.