Question

A string is stretched along x-axis and particle at x = 0 is oscillated along y-axis according to equation y = 2(t – [t] ). Where [ ] is greatest integer function. Assuming no dissipation of energy during propagation of wave and no change in wave velocity shape of string at any time is best shown by –

• A.
• B.
• C.
• D.

Answer 1

Answer: (A)

Answer 2

y(x, t) = 2{(t – $\frac{x}{v}$) – [t – $\frac{x}{v}$]}

\ At t = 0, shape of string is given by

y (x, t = 0) = 2(–$\frac{x}{v}$– [–$\frac{x}{v}$])