The figure shows four isotropic point sources of sound that are uniformly spaced on an x axis. The sources emit sound at the same wavelength and same amplitude Sm, and they emit in phase. A point P is shown on the x axis. Assume that as the sound waves travel to P, the decrease in their amplitude is negligible. What multiple of sm is the amplitude of the net wave at P if distance d in the figure is (a) 5λ/4, (b) 5A/2, and (c) 5λ? (a) Number (b) Number (c) Number i Units Units Units + +

The figure shows four isotropic point sources of sound that are uniformly spaced on an x axis. The sources emit sound at the same wavelength and same amplitude Sm, and they emit in phase. A point P is shown on the x axis. Assume that as the sound waves travel to P, the decrease in their amplitude is negligible. What multiple of sm is the amplitude of the net wave at P if distance d in the figure is (a) 5λ/4, (b) 5A/2, and (c) 5λ? (a) Number (b) Number (c) Number i Units Units Units + +

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: A tuning fork generates sound waves with a frequency of 230 Hz. The waves travel in opposite…

A: Given values, frequency, f=230 Hz Length of hallway, L=40 m speed of sound, v=343 m/s Distance of…

Q: for A sinusoidal wave traveling in the negative x-direction and is described by the function y(x, t)…

Q: appropriately chosen, the t- 3) sin(kx + wt) and y2(x,t) sin(kx – wt) and y2(x,t) sin(kx – wt) and…

A: Principle of superposition if two or more waves are moving through the…

Q: A traveling sinusoidal wave is modeled by the expression of; y(x,t) = 0.1sin(25.1x-48.7t) where all…

Q: A propagating wave is represented by the wave function: y(x,t) = A sin (kx - wt+p where x and y are…

Q: The figure shows the output from a pressure monitor mounted at a point along the path taken by a…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: We consider two sound sources that oscillate in phase with a frequency of 108 Hz. At a point 6.27 m…

A: Given: f = 108Hzr1 =6.27mr2=7.43 mAo = 5.02*10-7 mv = 343 m/sρ=1.22 kg/m3

Q: Consider a composite wave formed by two plane waves with slightly different frequencies of 0 = 2.7 x…

A: The carrier velocity (also called group velocity) of two superimposed signal is given by,…

Q: We know that in a sound wave there are three associated waves: a longitudinal displacement wave, a…

A: A sound wave is a longitudinal wave, in which a particle vibrates in the same direction of the wave…

Q: A string of length L = 2.5 m and mass m = 0.095 kg is fixed between two stationary points, and when…

A: Given:A string of length L = 2.5 m and mass m = 0.095 kg and when the string is plucked, a…

Q: A traveling wave on a long strong is described by the time-dependent wave function f(x, t) = a…

A: To find a wave that needs to be added to the original wave. Given:The wave function is:…

Q: A traveling wave on a string has an amplitude of 0 m and the string element at x =0 and t = 0 has a…

Q: Problem 1: An audio engineer takes decibel readings at distances of r = 14 m and r, = 22 m from a…

Q: 1 a2f The standard one-dimensional wave equation is az2 v2 at2' where v is the velocity of the wave.…

A: Let take option a, fz,t=Ae-b(z-vt)2 Let z=x fx,t=Ae-b(x-vt)2 ∂f∂x=A.e-b(x-vt)2.2(x-vt).(-b)…

Q: The wave function y (x, t) for a certain standing wave on a string fixed at both ends is given by…

A: Given wave function y(x,t) = 4.2sin(0.230x)cos(300t)here y and x are in cmThe general equation of…

Q: Consider a composite wave formed by two plane waves with slightly different frequencies of 0 = 2.7 x…

A: The velocity of carrier wave (group velocity) of a modulated signal is given by,…

Q: (a) If P bulb is the radiated power, and r is the radius of the circle, which expression gives the…

A: **as per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost…

Q: In the diagram below, you have a spring (with a spring constant k = 23 N/m) that is attached to a…

Q: A 38.0-Hz sound wave is barely audible at a sound intensity level of 60.0 dB. The density of air at…

A: The frequency of the sound wave is f=38.0 Hz The sound intensity level is L=60 dB The density of air…

Q: The wave vectok (k) of a travelling wave propagating along +xy plane is given below. If the…

A: Given,The magnitude of k is 5 rad/m K vector makes a 30-degree angle with the x-axisThe angular…

Q: A sound wave propagates at the speed of 4500 m/s in Medium 1 that has density of 2.6 g/cm3. What…

A: The acoustic impedance of medium 1 of density ρ1 in which the speed of sound is c1 is given by:

Q: At a recording station, a difference in time of arrival between p waves and s waves was observed to…

A: The speed of the particle is given by Where S = distance covered, t = time taken

Concept explainers

Interference of sound

Seiche

A seiche is an oscillating standing wave in a body of water. The term seiche pronounced saysh) can be understood by the sloshing of water back and forth in a swimming pool. The same phenomenon happens on a much larger scale in vast bodies of water including bays and lakes. A seizure can happen in any enclosed or semi-enclosed body of water.

Question

The figure shows four isotropic point sources of sound that are uniformly spaced on an x axis. The sources emit sound at the same
wavelength and same amplitude Sm, and they emit in phase. A point P is shown on the x axis. Assume that as the sound waves travel to
P, the decrease in their amplitude is negligible. What multiple of sm is the amplitude of the net wave at P if distance d in the figure is (a)
5λ/4, (b) 51/2, and (c) 5λ?
(a) Number i
(b) Number i
(c) Number
i
|aa|
Units
Units
Units
◄►
P

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Determine the given variables.

VIEW

Step 2: Determine the amplitude of the net wave when d=(5lambda)/4

VIEW

Step 3: Determine the net amplitude when d=(5lambda)/2

VIEW

Step 4: Determine the net amplirude when d=5lambda

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Loudness (L), in decibles (dB), of a sound of intensity I is defined to be L=10log( I/I0), where I0=10-12(W/M2) (watts per meter square) is the minimum intensity detectable by the human ear. A.) Find the loudness L, in decibles (dB), of a trombone given the intensity is 1010I0 B.) Find the intensity of a rock concert whose loudness is 115 decibles. C.) What is the NIOSH recommended Exposure Limit (REL) given in dB based on exposures at work 5 days per week?
A sound wave enters the thin tube at P and exits at Q. Assume r = 0.41m and the wavelength is 1.86m. What is the smallest length d that results in destructive interference at Q?
Consider a monochromatic green lightwave with wavelength λ = 550 nm (1 nm = 1 * 10-9m). Assuming the speed of light in vacuum (which is close to the one in air) to be c = 3 * 108m/s, then: A. Calculate the period τ and the optical frequency v for green light? B. Write a sinusoidal harmonic wave with unit amplitude propagating towards the negative x-axis. Consider that for x = 0 and t = 0, the (initial) phase is (π/2). C. Plot the wave profile against x for following times: t = 0, 0.25τ, 0.5τ, and 0.75τ. Assume an arbitrary unit for the y-axis.
An interface is formed between a block of aluminium (with an acoustic impedance of 1.8 x 107 kg m2 s') and a block of copper (with an acoustic impedance of 4.6 x 107 kg m-2 s-1). Longitudinal sound waves travelling through the aluminium are normally incident on the boundary, and are partially reflected. a) What is the ratio of the amplitude of the reflected wave to that of the incident wave? Number b) What is the ratio of the amplitude of the transmitted wave to that of the incident wave? Number c) What percentage of the incident power is transmitted? Number d) What percentage of the incident power is reflected? Number % Ouit P Sove Questi
Problem 2Given: A wave of 0.3 m wave height and period 1.3 seconds is generated in a wave tank. The wave tank is 90 m. long, 3 m wide, and 3 m deep and filled with fresh water to a depth of 1.5 m. The density of water is 997 kg/m3.Evaluate the water particle velocity and acceleration at the crest of the wave at still water level (SWL).
S A person stands 13.00 m from a speaker, and 8.00 m from an identical speaker. What is the wavelength of the first (n=1) interference maximum (constructive)? (Speed of sound = 343 m/s) (Unit = m) demy of Science. All Rights Reserved. =h H K hulu 20 Enter New ✔