Exam 17: The Principle of Linear Superposition and Interference Phenomena

Consider the figures depicting rectangular pulses on a string. -Which pulses must be superimposed to give the situation shown in 5.

Vibrations with frequency 6.00 × 102 Hz are established on a 1.33-m length of string that is clamped at both ends. The speed of waves on the string is 4.00 × 102 m/s. -How many antinodes are observed for the resulting standing wave pattern?

Two traveling pulses on a rope move toward each other at a speed of 1.0 m/s. The waves have the same amplitude. The drawing shows the position of the waves at time t = 0 s. Which one of the following drawings depicts the waves on the rope at t = 2.0 s?

Consider the figures depicting rectangular pulses on a string. -If pulse 1 were reflected from a wall, which one of the patterns above would represent the reflected pulse?

Which one of the following will result in standing waves?

Two identical tuning forks vibrate at 587 Hz. After a small piece of clay is placed on one of them, eight beats per second are heard. What is the period of the tuning fork that holds the clay?

Determine the shortest length of pipe, open at both ends, which will resonate at 256 Hz. The speed of sound is 343 m/s.

Two pulses of identical shape travel toward each other in opposite directions on a string, as shown in the drawing. Which one of the following statements concerning this situation is true?

Which one of the following superpositions will result in beats?

Some of the lowest pitches attainable on a musical instrument are achieved on the world's largest pipe organs. What is the length of an organ pipe that is open on both ends and has a fundamental frequency of 8.75 Hz when the speed of sound in air is 341 m/s?

Four standing wave segments, or loops, are observed on a string fixed at both ends as it vibrates at a frequency of 240 Hz. What is the fundamental frequency of the string?

A rope of length L is clamped at both ends. Which one of the following is not a possible wavelength for standing waves on this rope?

A string with a length of 3.0 m has two adjacent resonances at frequencies 112 Hz and 140 Hz. -What is the wavelength of the first harmonic?

A string with a length of 3.0 m has two adjacent resonances at frequencies 112 Hz and 140 Hz. -Determine the fundamental frequency of the string.

Two timpani (tunable drums) are played at the same time. One is correctly tuned so that when it is struck, sound is produced that has a wavelength of 2.20 m. The second produces sound with a wavelength of 2.10 m. If the speed of sound is 343 m/s, what beat frequency is heard?

Two loudspeakers are located 3.0 m apart on the stage of an auditorium. A listener at point P is seated 19.0 m from one speaker and 15.0 m from the other. A signal generator drives the speakers in phase with the same amplitude and frequency. The wave amplitude at P due to each speaker alone is A. The frequency is then varied between 30 Hz and 400 Hz. The speed of sound is 343 m/s. -At what frequency or frequencies will the listener at P hear a maximum intensity?

A 6.00-m long string sustains a three-loop standing wave pattern as shown. The wave speed is 2.00 × 102 m/s. -What is the frequency of vibration?

For a diffraction horn loudspeaker, sound emerges through a rectangular opening. The opening of a diffraction horn has a width of 0.12 m. If the speaker emits a continuous tone with a wavelength of 0.09 m, at what angle does the first minimum occur?

Sound waves are emitted from two speakers. Which one of the following statements about sound wave interference is false?

Two loudspeakers are located 3.0 m apart on the stage of an auditorium. A listener at point P is seated 19.0 m from one speaker and 15.0 m from the other. A signal generator drives the speakers in phase with the same amplitude and frequency. The wave amplitude at P due to each speaker alone is A. The frequency is then varied between 30 Hz and 400 Hz. The speed of sound is 343 m/s. -Determine the value of the maximum amplitude in terms of A.