Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 9.2, Problem 3aT
(1)
To determine
To determine whether or not there is a reflected pulse when the trail edge of the pulse reaches the boundary.
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Two different ropes with different mass densities are attached to each other. A pulse is introduced into one end of the rop and approaches the boundary as shown at the right. At the boundary, a portion of the energy is transmitted into the new medium and a portion is reflected. Which one of the diagrams depicts the possible location and orientation of the pulse shortly after the incident pulse reaches the boundary?
Two different ropes with different mass densities are attached to
each other. A pulse is introduced into one end of the rop and
approaches the boundary as shown at the right. At the boundary, a
portion of the energy is transmitted into the new medium and a portion is reflected. Which one of the
diagrams below depicts the possible location and orientation of the pulse shortly after the incident pulse
reaches the boundary?
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OA.
OB.
Two identical sources of sound separated by 2 m generate waves that are in phase with each other.
The diagram shows a snapshot in time of the waves from the two sources, where the lines denote
successive crests of the waves (solid lines from one and dashed lines from the other).
11
What is the wavelength λ of the waves? Provide a numerical answer.
Draw the line on the diagram where the path difference of the waves from the two sources is
always zero.
Is the interference on this line constructive or destructive?
Is this a nodal or an antinodal line?
Mark points on the diagram where the path lengths from the two sources differ by X/2, X,
3A/2, and 2A. Join the points to draw all the possible nodal and antinodal lines.
If you walk around the two sources in a large circle with 5 m radius from the midpoint of the
two sources, at how many places will you experience complete sound cancellation?
Chapter 9 Solutions
Tutorials in Introductory Physics
Ch. 9.1 - A piece of yarn has been attached to the spring....Ch. 9.1 - During the demonstration, did any of the following...Ch. 9.1 - During the demonstration, each of the following...Ch. 9.1 - Prob. 2aTCh. 9.1 - Prob. 2bTCh. 9.1 - Prob. 3aTCh. 9.1 - Prob. 3bTCh. 9.2 - Describe what happens after the pulse reaches the...Ch. 9.2 - Compare the speed of a pulse in one spring to the...Ch. 9.2 - In answering the questions below, assume that each...
Ch. 9.2 - Prob. 2aTCh. 9.2 - Prob. 2bTCh. 9.2 - Prob. 3aTCh. 9.2 - Prob. 4aTCh. 9.2 - Which of the following quantities are different on...Ch. 9.2 - Prob. 4cTCh. 9.3 - Prob. 1aTCh. 9.3 - Prob. 1bTCh. 9.3 - Prob. 1cTCh. 9.3 - Prob. 1dTCh. 9.3 - Prob. 1eTCh. 9.3 - Prob. 2aTCh. 9.3 - Prob. 2bTCh. 9.3 - Prob. 2cTCh. 9.3 - Prob. 2dTCh. 9.3 - Each of the diagrams at right shows a ray incident...Ch. 9.3 - Does the ray representing a wave always “bend”...Ch. 9.4 - Shown below are mathematical and pictorial...Ch. 9.4 - Three light waves are represented at right. The...Ch. 9.4 - Write an expression for the force exerted on a...Ch. 9.4 - Imagine that the electromagnetic wave in section I...Ch. 9.4 - Prob. 3aTCh. 9.4 - Suppose that the electric field in a light wave...
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- The four wave pulses on the left in the figure below are travelling along stretched ropes toward an end that is either fixed or free. For each incident pulse, select the correct reflection from the options shown on the right. For example, if the reflected pulse for the first pulse is C and for the other three pulses, B, then enter CBBB.) i) ii) 111) iv) Answer: Fixed Fixed Fixed Fixed A. B. Submit All Answers C. D.arrow_forwardStanding Waves in Air Columns, fixed length- WT-1 You are designing an air-filled tube that is closed at one end and open at the other to have a sound wave with a fundamental frequency of 512HZ in air at sea level. a) Sketch a figure like the one shown to the right and draw below the tube the fundamental mode of vibration and the next three harmonics. Beside each pattern, write the tube-length-to-wavelength relationship. b) Find the length needed for this tube. c) Find the frequency needed for each standing wave pattem you sketched. Use your results from above to find the frequencies; do not use equations from memory. open closedarrow_forwardAn ultrasound imaging transducer emits 2.5 MHz (2.5*10 Hz) ultrasound wave to the aorta, and receives 2500074 Hz ultrasound wave reflected from the aorta. What is the beat frequency? Please show your work.arrow_forward
- The diagram below shows all the antinodal lines (dashed) and nodal lines (solid) due to two-point sources tapping a water surface (the two dots in the middle of the circle are the two-point sources). The sources are separated by an unknown distance d. The sources lie along a horizontal line. Are the two sources in phase or out of phase? Explain how you can tell from the diagram. If the two sources are out of phase, give the phase difference between the two sources. Explain. What is the source separation, d, in terms of the wavelength λ? Explain your reasoning.arrow_forwardAssume that you have a traveling wave of the form y(x, t) - A sin(kx - wt), which is depicted at time Os below. If you know the vertical displacement at the position x-0.240 m indicated by the cyan vertical line in the graph is A/2, what is the wave vector (k) of this wave? (Provide your result in m1 with two decimal places, but do not include the units.) -1 3- y(x,t) 2 1 -1 -2 -3 -3 -2 Your Answer: A sin(kx - wt) at t = 0 y =A y=A/2 = -1 0 x(m) 1 2 3arrow_forward4. Waves A and B are interfering at the instant shown. a. Using the superposition principle draw the resulting pulse at the instant shown through the interference of A and B. Resultant Pulse: b. What type of interference is this? WAVE A [!!!!arrow_forward
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