A horizontal stretched string, fixed at two ends, is vibrating in its fifth harmonic according to the equation, $$y(x, t) = (0.01 m) \sin [(62.8 m^{-1}) x] \cos [(628 s^{-1})t].$$ Assuming $$\pi = 3.14$$, the correct statement(s) is (are)

A

The number of nodes is 5.

B

The length of the string is 0.25 m.

C

The maximum displacement of the midpoint of the string, from its equilibrium position is 0.01 m.

D

The fundamental frequency is 100 Hz.