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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

FIGURE EX17.27 shows the circular wave fronts emitted by two

wave sources.

a. Are these sources in phase or out of phase? Explain.

b. Make a table with rows labeled P, Q, and R and columns

labeled r1,r2,∆r,and C/D. Fill in the table for points P, Q, and

R, giving the distances as multiples of l and indicating, with a

C or a D, whether the interference at that point is constructive

or destructive.

A 2.0-m-long string vibrates at its second-harmonic frequency with a maximum amplitude of 2.0 cm. One end of the string is at x = 0 cm. Find the oscillation amplitude at x = 10, 20, 30, 40, and 50 cm.

Western music uses a musical scale with equal temperament tuning, which means that any two adjacent notes have the same frequency ratio r. That is, notes n and n + 1 are related by fn+1 = r fn for all n. In this system, the frequency doubles every 12notes—an interval called an octave.

a. What is the value of r?

b. Orchestras tune to the note A, which has a frequency of440 Hz. What is the frequency of the next note of the scale (called A-sharp)?

A longitudinal standing wave can be created in a long, thin aluminum rod by stroking the rod with very dry fingers. This is often done as a physics demonstration, creating a high-pitched, very annoying whine. From a wave perspective, the standing wave is equivalent to a sound standing wave in an open-open tube. As FIGURE EX17.21 shows, both ends of the rod are antinodes. What is the fundamental frequency of a 2.0-m-long aluminum rod?

FIGURE EX17.6 shows a standing wave on a 2.0-m-long string that has been fixed at both ends and tightened until the wave speed is 40 m/s. What is the frequency?
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