Two waves travelling in the same direction are given by: y1 = 0.2 sin(2mx-20t+p) and y2 = 0.2 sin(2rtx-20t), where x andy are in meters and t is in seconds. If the two waves start at the same moment, then the path difference, Ax, corresponding to a fully destructive interference is:

Two waves travelling in the same direction are given by: y1 = 0.2 sin(2mx-20t+p) and y2 = 0.2 sin(2rtx-20t), where x andy are in meters and t is in seconds. If the two waves start at the same moment, then the path difference, Ax, corresponding to a fully destructive interference is:

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter16: Waves

Section: Chapter Questions

Problem 113P: A string is fixed at both end. The mass of the string is 0.0090 kg and the length is 3.00 m. The...

See similar textbooks

Related questions

Q: Two waves travelling in the same direction are given by: y1 = 0.2 sin(2rtx-20t+p) and y2 = 0.2…

A: Given, y1=0.2sin(2πx-20t+φ) y2=0.2sin(2πx-20t) So, from the given equation k=2π ω=20

Q: Two waves y1 and y2 of frequency f=2 Hz originate from the same point but with a time difference…

A: We have, Phase difference, φ = (2π/T)× time difference Given, Frequency f= 2Hz So time period…

Q: The resultant wave function of two waves traveling in the same direction on a string is given by…

Q: Two waves travelling in the same direction are given by: y1 = 0.2 %3D sin(3tx-20t+p) and y2 = 0.2…

A: Given-y1=0.2sin(3πx-20t+ϕ)y2=0.2sin(3πx-20t)y=y1+y2=0.2sin(3πx-20t+ϕ)+0.2sin(3πx-20t)=0.2sin(3πx-20t…

Q: Two sinusoidal waves travel in the same direction with the same amplitude, wavelength, and speed…

A: In the given question, two sinusoidal waves travel in the same direction with same amplitude,…

Q: Two waves travelling in the same direction are given by: y1 = 0.2 sin(2rtx-20t+p) and y2 = 0.2…

A: According to the Bartleby guideline, only one question can be solved at one time, post the remaining…

Q: Two identical sinusoidal waves with wavelengths of 1.5 m travel in the same direction at a speed of…

A: Given data: The wavelength of the identical sinusoidal wave is, λ=1.5 m The speed of the identical…

Q: Two sinusoidal waves travelling in the same direction with the same amplitude, wavelength, and…

A: A1=A2=Ayx,t=4sin4πx-60πt+π3 cm so Resultant amplitude Ares=4 cm andPhase angle φ=π3Now…

Q: Two loudspeakers, placed on opposite walls of a 10m long room, emit pure sine waves at f= 170 Hz…

A: Let at a distance x from center waves cancel out (destructive). Now, path difference for 1st…

Q: Two sinusoidal waves travelling in the same direction with the same amplitude, wavelength, and…

A: yres = 8 cm sin4πx - 60πt + π3 Let the individual waves be y1 & y2. Their amplitude,…

Q: t = 0 A standing wave on a string is described by the wave function y(x,t) = (6 mm)…

Q: Two waves having amplitudes of 5 and 8 units and equal frequencies come together at a point in…

A: Given:- Two waves having amplitudes of 5 and 8 units and equal frequencies come together at a point…

Q: Two waves travelling in the same direction are given by: y1 = 0.2 sin(3ttx-20t+p) and y2 = 0.2…

A: Two Waves Travelling In The Same Direction Are Given By: Y1 = 0.2 Sin(1.5tx-20t+(p) And Y2 = 0.2…

Q: The wave functions of two sinusoidal waves y1 and y2 travelling to the right are given by: y1 = 0.02…

Q: Two waves travelling in the same direction are given by: y1= 0.2 sin(3Ttx-20t) and y2 = 0.2…

A: From the wave equations, the wave vector of both the waves is k=3π Since the case is for destructive…

Q: Two sinusoidal waves travelling in the same direction with the same amplitude, wavelength, and…

A: yres=2Acosϕ2sinkx-ωt+ϕ2 Compare with the standard form, 2Acosϕ2=4 cm ϕ2=π3rad

Q: We have two waves -2.79 sin(k x - v t) and 1.5 cos(k x - v t) which add together to make a new…

Q: Two sinusoidal waves traveling in the same direction interfere to produce a resultant wave with the…

A: Suppose the two individual waves with amplitude A and phase difference ϕ as below,

Q: Two waves travelling in the same direction are given by: y1 = 0.2 sin(3Ttx-20t) and y2 0.2…

A: Given:- Two wave travelling in the same direction as y1 = 0.2 sin(3πx-20t) andy2 = 0.2 sin(3πx-20t)…

Q: The wave functions of two sinusoidal waves y1 and y2 travelling to the right are given by: y1 = 0.04…

Q: Two sinusoidal waves of wavelength A = 2/3 m and amplitude A = 6 cm and differing with their phase…

A: Wavelength of both the sinusoidal waves λ=23 m Amplitude of individual waves A=6 cm Wave velocity…

Q: The resultant intensity due to the destructive interference of two waves is 36 W/m. Evaluate the…

A: The amplitude of each wave. given, Resultant intensityIR=36 Wm-2A1A2=14

Q: Consider two identical interfering waves with wavelength A = 0.4 m travelling in the positive…

A: Phase difference = k∆x = (2π/d)∆x Where d represents wavelength and ∆x represent change in position

Q: Consider two identical interfering waves with wavelength A = 0.2 m travelling in the positive…

Q: A standing wave on a string is described by the wave function y(x,t) = (6 mm) sin(4ttx)Cos(30t). The…

Q: The phase difference between two identical sinusoidal waves propagating in the same direction is Tt…

A: The two waves are interfering

Q: Two waves travelling in the same direction are given by: y1 = 0.2 sin(2TDX-20t+p) and y2 0.2…

A: The expression for the path difference is given as ∆x=λ2π×∆ϕ

Q: Consider two waves defined by the wave functions y1(x,t)=0.50m sin(2π/3.00mx+2π/4.00s t) y1(x,t)=…

A: Compare the given equations with following wave equation: y(x,t)=Asin2πλx+2πTt here, y is the…

Q: Two sinusoidal waves travelling in the same direction with the same amplitude, wavelength, and…

A: Given: Two sinusoidal waves travelling in the same direction having the same amplitudes,…

Q: Two waves travelling in the same direction are given by: y1 = 0.2 sin(3Ttx-20t+p) and y2 = 0.2…

A: Given equation is y1=0.2 sin (3πx-20t+φ_)y2=0.2 sin(3πx-20t)

Q: Two identical sinusoidal waves of amplitude A and frequency 10 Hz travel in the same direction at a…

A: Given that Two Identical Sinusoidal Waves Of Amplitude A And Frequency 10 Hz Travel In The Same…

Q: Two waves travelling in the same medium are described by:y1=0.2 sin(2ttx+5tt); y2=0.2 sin(2Ttx-5tt)…

A: The two are y1=0.2sin2πx+5πty2=0.2sin2πx-5πt From the above, it is clear that the above two waves…

Q: The resultant wave function of two waves traveling in the same direction on a string is given by…

Q: The acoustic impedance of water is Zwater = 1440000 kg/(m2 s), and that of bone is Zbone = 7800000…

A: Acoustic impedance of water (Zwater)=1440000 kg/m2 s Acoustic impedance of bone (Zbone)=7800000…

Q: x and y are in meters andt is in seconds. The resultant interference wave function is expressed as:…

A: When two waves are superimposed with each other the resultant wave is given by y…

Q: If two travelling waves interfere to produce a standing wave described by: y(x,t) = 0.02…

Q: Given : y1=A sin (kx-wt+π/2) cm y2=A sin (kx-wt+π) cm Determine Y and draw the wave

Q: Two waves travelling in the same direction are given by: y1= 0.2 sin(2rtx-20t+p) and y2 = 0.2…

A: From this wave equation, we can say that the wave number of this wave will be; k=2π m-1

Q: Two point sources are 9. 00 cm apart and operating in phase with a common frequency of 9. 50 Hz. The…

Q: The resultant intensity due to the destructive interference of two waves is 36 W/m2. Evaluate the…

Q: Two waves travelling in the same direction are given by: y1 = 0.2 sin⁡(2πx-20t+φ) and y2 = 0.2…

Q: Two waves travelling in the same direction are described by the wave functions: y1 (x,t) = 0.03…

Q: Two identical sinusoidal waves with wavelengths of 1.5 m travel in the same direction at a speed of…

A: Wave length of the waves λ=1.5 m Speed of the waves v=20 m/s Frequency of the wave f=vλ=20m/s1.5 m…

Q: and y_2 Two waves traveling in the same direction are described by the wave functions: y_1…

Q: A standing wave on a string is described by the wave function y(x,t) = (6 mm) sin(4Ttx)cos(30tt).…

Q: Two sinusoidal waves travel in the same direction with the same amplitude A = 1 m, same wavelength…

Q: Two waves of amplitude 0.3 m and 0.5 m interfere constructively. The resultant intensity is O a.0.49…

A: Given that Amplitude of 1st wave = 0.3 m Amplitude of 2nd wave = 0.5 m And they interfere…

Concept explainers

Stretched string

A stretched string is a wire which is made up of any metal that must have a larger length compared to its thickness. The ends of the wire are fixed, and when they oscillate or are plucked, it produces two reflected transverse waves of the same frequency and same amplitude. The waves or pulses are traveling in alternate directions and superimpose with one another. This waveform is named standing or stationary waves.

Question

7NhZOB1Vch8kDAEmTnMzzo7IllzhvDIR2UQ/formResponse
generating this wave is:
4 cm
8 cm
4/N3 cm
2/V3 cm
2 cm
Two waves travelling in the same direction are given by: y1 = 0.2 sin(2Tx-20t+p)
and y2 = 0.2 sin(2rtx-20t), where x and y are in meters andt is in seconds. If the
two waves start at the same moment, then the path difference, Ax,
corresponding to a fully destructive interference is:
O4/3 m
1/3 m
3/4 m
O 2/3 m.
beidistance between the firstand the thirdinodes of a standing weve is O.1m.
s maximum(spacementisC4m ana Its freeuency is l60 H2 Thewave
functions off the Mhchintertere topive thestanding wave

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Introduction

VIEW

Calculation

VIEW

Step by step

Solved in 2 steps

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

As you travel down the highway in your car, an ambulance approaches you from the rear at a high speed (Fig. OQ17.3) sounding its siren at a frequency of 500 Hz. Which statement is correct? (a) You hear a frequency less than 500 Hz. (b) You hear a frequency equal to 500 Hz. (c) You hear a frequency greater than 500 Hz. (d) You hear a frequency greater than 500 Hz. whereas the ambulance driver hears a frequency lower than 500 Hz. (e) You hear a frequency less than 500 Hz. whereas (he ambulance driver hears a frequency of 500 Hz.
A string on the violin has a length of 24.00 cm and a mass of 0.860 g. The fundamental frequency of the string is 1.00 kHz. (a) What is the speed of the wave on the string? (b) What is the tension in the string?
The area of a typical eardrum is about 5.00 X 10-5 m2. (a) (Calculate the average sound power incident on an eardrum at the threshold of pain, which corresponds to an intensity of 1.00 W/m2. (b) How much energy is transferred to the eardrum exposed to this sound lor 1.00 mill?
Two strings are attached between two poles separated by a distance of 2.00 meters as shown in the preceding figure, both strings have a linear density of 1=0.0025 kg/m, the tension in string 1 is 600.00 N and the tension in string 2 is 700.00 N. Transverse wave pulses are generated simultaneously at opposite ends of the strings. How much time passes before the pulses pass one another?
A string is fixed at both end. The mass of the string is 0.0090 kg and the length is 3.00 m. The string is under a tension of 200.00 N. The string is driven by a variable frequency source to produce standing waves on the string. Find the wavelengths and frequency of the first four modes of standing waves.
Rank the waves represented by the following functions from the largest to the smallest according to (i) their amplitudes, (ii) their wavelengths, (iii) their frequencies, (iv) their periods, and (v) their speeds. If the values of a quantity are equal for two waves, show them as having equal rank. For all functions, x and y are in meters and t is in seconds. (a) y = 4 sin (3x 15t) (b) y = 6 cos (3x + 15t 2) (c) y = 8 sin (2x + 15t) (d) y = 8 cos (4x + 20t) (e) y = 7 sin (6x + 24t)
Shown below are three waves that were sent down a string at different times. The tension in the string remains constant. (a) Rank the waves from the smallest wavelength to the largest wavelength. (b) Rank the waves from the lowest frequency to the highest frequency.
(a) What is the speed of sound in a medium where a 100kHz frequency produces a 5.96cm wavelength? (b) Which substance in Table 17.1 is this likely to be?
As you travel down the highway in your car, an ambulance approaches you from the rear at a high speed (Fig. OQ13.15) sounding its siren at a frequency of 500 Hz. Which statement is correct? (a) You hear a frequency less than 500 Hz. (b) You hear a frequency equal to 500 Hz. (c) You hear a frequency greater than 500 Hz. (d) You hear a frequency greater than 500 Hz, whereas the ambulance driver hears a frequency lower than 500 Hz. (e) You hear a frequency less than 500 Hz, whereas the ambulance driver hears a frequency of 500 Hz. Figure OQ13.15
A sound wave can be characterized as (a) a transverse wave, (b) a longitudinal wave, (c) a transverse wave or a longitudinal wave, depending on the nature of its source, (d) one that carries no energy, or (e) a wave that does not require a medium to be transmitted from one place to the other.