FIGURE EX17.2 is a snapshot graph at t = 0 s of two waves approaching each other at 1.0 m/s. Draw six snapshot graphs, stacked vertically, showing the string at 1 s intervals from t = 1 s to t = 6 s.

Short Answer

Expert verified

Both waves will combine and the resultant wave will have double the amplitude of the initial waves due to superposition principle.

Step by step solution

01

Given info:

Two similar waves, both having positive amplitude are approaching each other with speed of 1m/s.

02

At t = 1sec

Both the waves have just come in contact and up till now no superposition will take place.

03

At t = 2sec

At t = 2 sec, waves have partially combined and due to superposition principle the mid region will rise up.

Height of mid region at t = 2sec will be 12cm+12cm=1cm

04

At t = 3 sec

Both waves now perfectly overlap each other and due to super position principle their amplitude is doubled but width remains the same. Amplitude of resultant wave is 1cm + 1cm = 2cm.

05

At t = 4 sec

Snapshot at t = 4sec will be same as that of t = 2 sec, only this time waves are now moving apart from each other.

06

At t = 5 sec.

Snapshot at t = 5 sec will be same as that of t = 1 sec, only this time waves are now moving apart from each other.

07

At t = 6sec

At t = 6sec both waves are at the other wave's initial position, snapshot looks similar to t = 0sec but here waves are interchanged from that of t = 0 sec and are moving in opposite directions.

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