Exam 16: Superposition and Standing Waves

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A stretched string of length L,fixed at both ends,is vibrating in its third harmonic.How far from the end of the string can the blade of a screwdriver be placed against the string without disturbing the amplitude of the vibration?

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Two sound waves,one wave is given by y1 = po sin ( ω\omega 1t),and the other by y2 = po sin ( ω\omega 2t),where ω\omega 1 differs from ω\omega 2 by a rad/s.The maximum sound intensity of the beat frequency is

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A 1.00 m string fixed at both ends vibrates in its fundamental mode at 440 Hz.What is the speed of the waves on this string?

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Middle C on a piano has a frequency of 262 Hz.Sometimes it is said that middle C is actually 28 = 256 Hz,and tuning forks are made with this frequency.How many beats per second would be heard if such a tuning fork were sounded simultaneously with the middle C of a (well-tuned)piano?

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Sound has a velocity of 335 m/s in air.For an air column that is closed at both ends to resonate to a frequency of 528 Hz,the length of the air column could be

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If two identical waves with a phase difference of 3 π\pi are added,the result is

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The wave function y(x,t)for a standing wave on a string fixed at both ends is given by y(x,t)= 0.080 sin 6.0x cos 600t where the units are SI.The speed of the traveling waves that result in this standing wave is

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A string with mass density equal to 0.0025 kg/m is fixed at both ends and at a tension of 290 N.Resonant frequencies are found at 558 Hz and the next one at 744 Hz.What is the fundamental frequency of the string?

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Two wave trains travel on a string under a constant tension T.Which of the following statements is NOT correct?

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A wave on a string has a frequency of 100 Hz and travels at a speed of 24 m/s.The minimum distance between two points with a phase difference of 60º is

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A vibrating tuning fork of frequency 1080 Hz is held above a tube filled with water.Assume the speed of sound to be 330 m/s.As the water level is lowered,consecutive maxima in intensity are observed at intervals of about

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The wave function y(x,t)for a standing wave on a string fixed at both ends is given by y(x,t)= 0.080 sin 6.0x cos 600t where the units are SI.The amplitudes of the traveling wave that result in this standing wave are

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The ratio of the fundamental frequency (first harmonic)of an open pipe to that of a closed pipe of the same length is

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The fundamental frequency of a vibrating string is f1.If the tension in the string is increased by 50% while the linear density is held constant,the fundamental frequency becomes

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Standing waves exist in a string of length L that is fixed at one end and free at the other.The speed of the waves on the string is v.The three lowest frequencies of vibration are

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The standing waves on a string of length L that is fixed at both ends have a speed v.The three lowest frequencies of vibration are

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The fundamental frequency of a vibrating string is f1.If the tension in the string is doubled,the fundamental frequency becomes

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A string of linear density μ\mu and length L is under a constant tension T = mg.One end of the string is attached to a tunable harmonic oscillator.A resonant standing wave is observed  A string of linear density  \mu  and length L is under a constant tension T = mg.One end of the string is attached to a tunable harmonic oscillator.A resonant standing wave is observed

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A vibrating tuning fork of frequency 640 Hz is held above a tube filled with water.Assume the speed of sound to be 330 m/s.As the water level is lowered,consecutive maxima in intensity are observed at intervals of about

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A string with mass density equal to 0.0025 kg/m is fixed at both ends and at a tension of 290 N.Resonant frequencies are found at 558 Hz and the next one at 744 Hz.To what harmonic does the 558 Hz resonance correspond?

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