The vibrations of a string of length 60 cm fixed at both ends are represented by the equation. `y=4 sin [(pi x)/(15)] cos(96 pi t)` where x and y are in cm and t in sec.
(a) What is the maximum displacement al r = 5 cm?
(b) What are the nodes located along the string ?
(c) What is the velocity of the particle at `x=7.5 and t=0.25 s ?`
(d) Write down the equations of component waves whose superposition gives the above wave.

Options

A. maximum displacement of a particle at a point at x = t cm is 4 cm
B. third node is formed at 30 cm from one end of the string
C. the velocity of a particle at x = 7.5 cm and t = 0.25 s is zero
D. equations of the component waves whose superposition gives the above equation are `y_1 =- 2 sin ((pix)/(15) - 96 pi t) " and " y_2 = 2 sin ((pix)/(15) + 96 pi t)`

Answer

B, C, D