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Chapter 17: Q1. (page 482)

FIGURE EX17.1 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

Two similar waves with equal and opposite amplitude are moving towards each other with speed of 1m/s.

Step by step solution

01

Given Info

Two similar waves with equal and opposite amplitude are moving towards each other with speed of 1m/s.

02

T = 1sec

Up till this point there will be no superposition as waves have just touched each other.

03

From t = 2 sec to t = 4 sec

Now we know that both waves are completely similar to each other except for their sign (i.e. one wave is in positive y axis and another wave is in negative y axis). So any part of these waves that cross each other will be cancelled out due to superposition principle.

04

At t = 5 sec

At this point both waves stand at same point and so both of them completely cancels out each other.

05

At t = 6sec.

Now both waves have crossed each other and they are moving apart so therefore they will start to emerge from corresponding sides of x axis as they move apart.

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Most popular questions from this chapter

Two loudspeakers emit sound waves along the x-axis. The

sound has maximum intensity when the speakers are 20 cm apart. The sound intensity decreases as the distance between the speakers is increased, reaching zero at a separation of 60 cm.

a. What is the wavelength of the sound?

b. If the distance between the speakers continues to increase, at

what separation will the sound intensity again be a maximum?

FIGURE EX17.7 shows a standing wave on a string that is oscillating at 100 Hz. a. How many antinodes will there be if the frequency is increased to 200 Hz? b. If the tension is increased by a factor of 4, at what frequency will the string continue to oscillate as a standing wave that looks like the one in the figure?

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If you take snapshots of a standing wave on a string, there are certain instants when the string is totally flat. What has happened to the energy of the wave at those instants?

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