Answered: The resultant intensity due to the…

The resultant intensity due to the destructive interference of two waves is 4 W/m2 . Evaluate the amplitude of each wave if the ratio of their amplitudes is 3/4.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter13: Mechanical Waves

Section: Chapter Questions

Problem 24P: A taut rope has a mass of 0.180 kg and a length of 3.60 m. What power must be supplied to the rope...

See similar textbooks

Related questions

Q: Consider a wave described by the wave function y (x,t) = 0.85m sin (- -m 2 s-1 t + -), find the…

Q: For the wave y=10 sin⁡(4t/3) the frequency is 4/3 (True or False)

A: Given: A wave , y=10 sin(4t3)

Q: The resultant wave due to the interference of two sinusoidal transverse waves expressed as, y' =…

A: Solution: as given in the problem the resultant wave is y' = 2A cos (ɸ /2) sin (kx - ωt + ɸ/2)…

Q: A wave of wavelength 0.60cm is produced in air and it travels at a speed of 300m/s. Will it be…

A: Given, wavelength = 0.006m speed = 300 m/s

Q: A pulse is traveling towards the boundary from a more dense medium to a less dense medium. Medium 1…

A: Introduction: The transmitted pulse in the less dense medium travel faster and has larger…

Q: What is the wavelength of the waves you create in a swimming pool, if you splash your hand at a rate…

A: Given: frequency, f = 2 Hz wave velocity, v = 0.640 m/s

Q: The sound level 8.25 m from a loudspeaker, placed in the open, is 115 dB. What is the acoustic power…

A: Given data *The distance of sound level from the loudspeaker is r = 8.25 m *The sound level when…

Q: . In a medium where the speed is constant, wave A has twice the frequency than another wave B. The…

Q: Two similar waves, each with intensity of 2.00 W/m², interfere constructively. Calculate the…

A: Given: The intensity of the first wave is I1=2.00 W/m2 The intensity of the second wave is I2=2.00…

Q: Two identical sinusoidal waves with wavelengths of 2 m travel in the same direction at a speed of…

Q: Consider a wave described by the wave function y (x,f) = 0.50m sin (m 5T 9n s-t+ 4 ), find the…

A: By equation 2πft = (9π/4)t

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

Q: Two identical traveling waves, moving in the same direction, are out of phase by π/5.0 rad. What is…

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

A: Given: Wavelength of sinusoidal wave, λ=23m. Velocity, v=50 m/s. Amplitude of resultant wave, A=6 m.

Q: A pulse in a more dense medium is traveling towards the boundary with a less dense medium. Medium 1…

A: I seen that from figure, the incidence pulse seems to be of greater amplitude than the reflected…

Q: Two waves, yı(t) and y2(t), have identical amplitudes and oscillate at the same frequency, but y2(t)…

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: A pulse is traveling towards the boundary from a more dense medium to a less dense medium. Medium1…

A: When a pulse travels from more dense medium to less dence medium towards the boundary it gets…

Q: A pulse is traveling towards the boundary from a more dense medium to a less dense medium. Medium 1…

A: when a wave passes from denser medium to rarer medium then it is partially reflected and partially…

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

A: we know that The resultant intensity due to destructive interference IR = I1 - I2 Where I1 and I2…

Q: The amplitude of two sinusoidal waves propagating in the same direction is A = 0.027 m. Due to their…

A: Given data The amplitude of each wave is A=0.027 m The amplitude of the resultant wave is Ares=0…

Q: Two waves of the same frequency have amplitudes 1.00 and 2.00. They interfere at a point where their…

Q: Consider a wave described by the wave function 8Tt TT y (x,t)= 0.65m sin (- 5 -1 t + 3 x + ,find the…

Q: Consider a wave described by the wave function y (x,t)=0.65m sin (m-1 find the 3 time period of…

A: We will define the equation first and then we will solve this numerical. Time period of wave- It is…

Q: If a wave pulse with an amplitude of 2 cm overlaps with a wave pulse that has an amplitude of -4 cm,…

A: Given data: Amplitude of first wave pulse is, A1=2 cm. Amplitude of second wave pulse is, A2=-4 cm.

Q: With what tension must a rope with length 2.50 m and mass 0.120 kg be stretched for transverse waves…

Q: A light wire is tightly stretched with tension F. Transverse traveling waves of amplitude A and…

A: Given that, Initial power (Pi)= 0.4000 W Initial wavelength is (λ1) Final wavelength is (λ2)= 2(λ1)…

Q: A pulse is traveling towards the boundary from a more dense medium to a less dense medium. Medium 1…

A: The given pulse is traveling towards the boundary from more dense medium to a less dense medium.

Q: Standing waves are produced by the superposition of the wave y = 7 sin ( wt - 4x ) (x, y in cm, t in…

Q: Two waves of the same frequency have amplitudes 0.838 and 2.60. They interfere at a point where…

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

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

Q: A pulse in a more dense medium is traveling towards the boundary with a less dense medium. Medium 1…

A: Here, a denser (thick) rope is attached to a less dense (thin) rope, when energy is applied on one…

Q: A source emits sound waves isotropically. The intensity of the waves 2.08 m from the source is 1.80…

A: Intensity of wave, I=1.8×10-4 W/m2Distance from source,d= 2.08 mLet, P denotes the power of source

Q: A very noisy chain saw operated by a tree surgeon emits a total acoustic power of 30.0 W uniformly…

Q: Two waves of the same frequency have amplitudes 1.00 and 2.00. They interfere at a point where their…

A: Amplitude, a1 = 1.00 Amplitude, a2 = 2.00 Phase difference, Φ = 60° Resultant amplitude, A = ?

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

Q: The resultant intensity due to the constructive interference of two waves is 196 W/m2 . Evaluate the…

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

Q: The longitudinal oscillations of air layers in sound wave propogation are consistent with the random…

A: The longitudinal waves are characterized by the displacement of air molecules in the direction of…

Q: A pulse in a less dense medium is traveling towards the boundary with a more dense medium. Mediun 1…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The resultant intensity due to the destructive interference of two waves is 4 W/m². Evaluate the…

A: Given : Resultant intensity due to the destructive interference, IR= 4 W/m2 Ratio of their…

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

A: Amplitude of wave 1, Amplitude of wave 2,

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

Q: A point source emits sound waves isotropically. The intensity of the waves 2.50 m from the source is…

A: Here, Intensity of wave = 1.91 * 10-4 W/m2. Point source at distance r = 2.50m Power of source =…

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

A: Standing waves are formed by the superposition of two travelling waves of the same frequency (with…

Q: A pulse is traveling towards the boundary from a more dense medium to a less dense mediur Medium 1…

Concept explainers

Electromagnetic Waves

Electromagnetic waves are waves that consist of magnetic field and electric field components perpendicular to each other. These field components are also perpendicular to the direction of propagation of the wave.

Question

The resultant intensity due to the destructive interference of two waves is 4 W/m2
.
Evaluate the amplitude of each wave if the ratio of their amplitudes is 3/4.

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

Step 1

VIEW

Step 2

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

A sound wave in air has a pressure amplitude equal to 4.00 103 Pa. Calculate the displacement amplitude of the wave at a frequency of 10.0 kHz.
A string with a mass of 0.30 kg has a length of 4.00 m. If the tension in the string is 50.00 N, and a sinusoidal wave with an amplitude of 2.00 cm is induced on the string, what must the frequency be for an average power of 100.00 W?
A cable with a linear density of =0.2 kg/m is hung from telephone poles. The tension in the cable is 500.00 N. The distance between poles is 20 meters. The wind blows across the line, causing the cable resonate. A standing waves pattern is produced that has 4.5 wavelengths between the two poles. The air temperature is T=20C . What are the frequency and wavelength of the hum?
Two sinusoidal waves are moving through a medium in the same direction, both having amplitudes of 3.00 cm, a wavelength of 5.20 m, and a period of 6.52 s, but one has a phase shift of an angle . What is the phase shift if the resultant wave has an amplitude of 5.00 cm? [Hint: Use the trig identity sinu+sinv=2sin(u+v2)cos(uv2)
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.
Two sinusoidal waves with identical wavelengths and amplitudes travel in opposite directions along a string producing a standing wave. The linear mass density of the string is =0.075 kg/m and the tension in the string is FT=5.00 N. The time interval between instances of total destructive interference is t=0.13 s. What is the wavelength of the waves?
A sound wave of a frequency of 2.00 kHz is produced by a string oscillating in the n=6 mode. The linear mass density of the string is =0.0065 kg/m and the length of the string is 1.50 m. What is the tension in the string?
Consider what is shown below. A 20.00-kg mass rests on a frictionless ramp inclined at 45° . A string with a linear mass density of =0.025 kg/m is attached to the 20.00-kg mass. The string passes over a frictionless pulley of negligible mass and is attached to a hanging mass (m). The system is in static equilibrium. A wave is induced on the string and travels up the ramp. (a) What is the mass of the hanging mass (m)? (b) At what wave speed does the wave travel up the string?
Consider two wave functions y1(x,t)=Asin(kxt) and y2(x,t)=Asin(kx+t+) . What is the wave function resulting from the interference of the two wave? (Hint: sin()=sincoscossin and =2+2 .)
To increase the intensity of a wave by a factor of 50, by what factor should the amplitude be increased?
Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes of 7.00 cm, a wave number of k=3.00 m-1, an angular frequency of =2.50 s-1, and a period of 6.00 s, but one has a phase shift of an angle =12 rad. What is the height of the resultant wave at a time t=2.00 s and a position x=0.53 m?
How many times a minute does a boat bob up and down on ocean waves that have a wavelength of 40.0 m and a propagation speed of 5.00 m/s?