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 π=3.14, which statement(s) is (are) correct?
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