A string of length 20 cm and linear mass density 0.40 g cm^-1 is fixed at both ends and is kept under a tension of 16 N. A wave pulse is produced at t = 0 near an end as shown in figure, which travels towards the other end. (a) When will the string have the shape shown in the figure again ? (b) Sketch the shape of the string at a time half of that found in part (a).

A string of length 20 cm and linear mass density 0.40 g cm^-1 is fixed

1.	A string of length 20 cm and linear mass density 0.40 g cm^-1 is fixed at both ends and is kept under a tension of 16 N. A wave pulse is produced at t = 0 near an end as shown in figure, which travels towards the other end. (a) When will the string have the shape shown in the figure again ? (b) Sketch the shape of the string at a time half of that found in part (a).
Answer» Solution :a. VELCITY of the wave `v=SQRT((T/m))` `sqrt((16x1^5)/0.4)` `=2000cm/sec` `:. Time taken to reach to the other END `=20/2000=0.01sec` Time taken to see the PULSE again in the origiN/Al POSITION `=0.01xx2=0.02sec` b. At t=0.01s, then will be a trough atthe right end as it is reflected.