(i) For the wave on a string described in question, do all theh points on the string oscillate with the same (a) frequency, (b) phase, (c) amplitude ? Explain your answers. (ii) What is the amplitude of a point `0.375m` away from one end?

Explanation

All the points on the string (i) have the same frequency except at the nodes (where frequency is zero) (ii) have the same phase everywhere in one loop except at the nodes.
However, the amplitude of vibration at different points is different.
From `y(x,t)=0.06sin((2pi)/(3))xcos(120pit),`
the amplitude at `x(=0.375m) is =0.06 sin ((2pi)/(3))xx1=0.06 sin ((2pi)/(3))xx0.375=0.06sin((pi)/(4))=(0.06)/(sqrt(2))`
`=0.042m`