Two progressive waves yi = A sin( 4x – ot) and y2 = A sin("x – ot – 5) travel in the same direction. Calculate theamplitude Atot of the wave y = yi + y2 produced as a result of interference of these two waves. Take A = 8.6 cm, 1 = 4 mand w = 10r Hz. Give your answer in centimetres (cm).

Answered: Image /qna-images/answer/2717d86b-4c68-4868-ab4a-beae2882dbd0.jpg

Two progressive waves y1 = A sin(x – ot) and y2 = A sin( 4 x – wt – 5) travel in the same direction. Calculate the amplitude Afot of the wave y = yı + y2 produced as a result of interference of these two waves. Take A = 8.6 cm, 1 = 4 m and w = 10 Hz. Give your answer in centimetres (cm).

Two progressive waves y1 = A sin(x – ot) and y2 = A sin( 4 x – wt – 5) travel in the same direction. Calculate the amplitude Afot of the wave y = yı + y2 produced as a result of interference of these two waves. Take A = 8.6 cm, 1 = 4 m and w = 10 Hz. Give your answer in centimetres (cm).

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 94P: Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes...

See similar textbooks

Related questions

Q: An alpha particle (consisting of two protons and two neutrons), traveling at a speed of v = 1.4 x 10...

A: Given value--- speed = 1.4 × 105 m/s. magnetic field = 1.8 T. We have to find--- Part (b) In uni...

Q: FA 3.60 kg mass is being rotated in the vertical plane at a constant speed of 5.00 m/s at the end of...

Q: Suppose that the block now moves across the surface with constant speed under the action of a horizo...

A: according to newton’s second law of motoon of net force acting on the body is zero then its momentum...

Q: These are materials in which some of the electrons are free electrons that are not bound to atoms an...

A: Superconductor is a material in which the matter has no electrical resistance and it doesn't oppose ...

Q: The diagram below presents the position and elapsed time of a motorbike that starts from rest and ac...

A: We know thatAverage velocity=Total displacementTotal time

Q: A shot is fired with an angle of 45° with the horizontal with a velocity of 300 ft/s. Find the maxim...

Q: A 38.5 kg block is attached to a pulley and placed on a horizontal desk. The pulley is attached to a...

Q: When a 360-nF air capacitor is connected to a power supply, the energy stored in the capacitor is 15...

A: Write the expression for the energy stored in the capacitor.

Q: B1 B2 B1 B2 d d

Q: current has three resistors in parallel, each with a resistance of 18 Ohms. What is the total resist...

Q: A block is placed on a frictionless 30 degree incline.the mass of the block is m=30kg. a.draw a fre...

A: Write the given values with the suitable variables. θ=30°m=30 kg Here, θ and m are the inclination o...

Q: A charge of -2.00 µC is placed at the origin of a xy coordinate system, and a charge of 5.00 µC is p...

Q: The diagram below presents the position and elapsed time of a motorbike that starts from rest and ac...

Q: A charged particle moving in a magnetic field will experience a magnetic force. Suppose that the mag...

Q: 1.6 x 10−19 C is moving in the xy-plane, the components of its velocity being vx = 5 x 105 m/s and v...

Q: How much power is needed to lift a 75-kg student vertically upward at a constant speed of 0.33 m/s? ...

Q: A lens has one concave surface with a radius of curvature RA = 6.0 cm and one convex surface with ra...

A: Here R1= radius of curvature of first lens= -6 cm = -0.06 m ( as concave lens) R2= +8cm = 0.08 m .

Q: Direction: Answer the following questions. 1. A charge of 4.50 x 10-8 C is placed in a uniform elect...

Q: Show that the wavelength of a photon, measured in angstroms, can be found from its energy, measured ...

Q: 450 3. Given the position-time graph below, what is the average velocity between P2 and P47 P3 P4 40...

Q: • Part A The RC circuit on the figure has R = 6.8 kſN and C = 4.0 µF . The capacitor is at voltage V...

A: In this question we have to find the time taken to discharge the capacitor. Please give positive fee...

Q: 1.from the dock a ship has its course 4kn east and then 6kn headed 60 degrees east of north as shown...

A: According to guidelines we need to solve only first question kindly repost other questions in the ne...

Q: What is the acceleration of the "two block" system in the figure? 5 kg 30 N 10 kg (A) 2 m/s?

Q: The x and y components of a displacement vector are -3.00 m and +4.00 m, respectively. What angle do...

Q: A transformer has a primary with 4000 windings and a secondary coil with 78,000 windings. If the inp...

Q: The sum of vectors D, E and F is a resultant with a magnitude of 24.80 cm pointing 21.34o west of no...

A: According to question we need to find--- (a) the x-component of E, Ex, ? (b) the magnitude and dire...

Q: A blackbody radiator in the shape of a sphere has a surface area of 23m ^ 2 . If it has a temperatur...

Q: TRUE OR FALSE. If a body X, with a positive charge, is placed in contact with another body Y (initia...

A: According to question we need to find that the given statement is true or false .

Q: An unknown moving ion is confined in a OD nanomaterial in which all three dimensions are equals to 5...

Q: Question 21 If gravity pulls you down toward the center of Earth with a force of 500 N, how much upw...

A: Given: Normal Force = 500 N

Q: Replace the three forces shown by an equivalent force-couple system at point A. If the forces are re...

Q: A speed boat pulls a water-skier (with a mass of 100 kg) at a steady speed by a rope at 15 degrees a...

Q: An object is moving along a straight line in the positive x direction. The graph shows its position ...

Q: Given that, bz (400mm x 3000)mm b3(400mmx yootim) Area 100000mm? %3D 400 XB00 01200000 mm2 Ab3 = 400...

A: Write the relationship between stress and area. For constant force F, the stress σ is inversely pro...

Q: 7. (M) t (s) 10 Two objects C and D are moving according to graph. Which of the following is true? C...

Q: As part of a college physics lab. A car that is giving off a sound with a frequency of 350 Hz, is mo...

Q: 17.46 Calculate the voltage across the 20-µF capacitor in the circuit of Fig. 17.34. The battery vol...

Q: A ball is thrown from a tower 30 m high above the ground with a velocity of 300 m/s directed at 20° ...

A: We use the equation for height travelled by a projectile to solve this. It is h = ho+uyt - 12gt2, wh...

Q: A stone is thrown at 16 m/s with an angle of 40° above the horizontal from the roof top of the build...

A: For time taken to reach the ground , we need to consider two terms (i) time taken to go up (up to m...

Q: 3. A conducting rod of length ( = 35.0 cm is free to slide on two parallel conducting bars as shown ...

Q: Refer to the figure below: ... X Vo Horizontal Field As compared to the horizontal component of the ...

Q: (d) Look carefully at your drawing above. In what direction does E point (inward? outward? tangent?)...

Q: Please help! At noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B ...

A: GivenDistance Between Ship A and Ship B=150 kmVelocity of ship A=35 km/hVelocity of Ship B=30 km/h

Q: A small charge, q = 6 x 10-3 C is found in a uniform electric field, E = 2.9 N/C. Determine the forc...

A: Given data :- charge q = 6 × 10-3 C electric field E = 2.9 N/C

Q: Given the following graph, calculate the slope and uncertainty in the slope. Period vs length T (s) ...

A: From the graph, x1,y1=16.05cm,22.60cmx2,y2=6.60cm,3.70cm ∆y=0.6 cm Determine the slope as below. m=y...

Q: In scenario 2, the elevator is moving with upward acceleration a2 5.51 m/s2. %3D FN.2 N

A: In scenario 1 , since the elevator move with constant velocity , so its acceleration will be zero. ...

Q: An object is placed near a plane mirror, as shown. mirror surface •M •Y • A Object • • E Which of th...

A: For plane mirror image distance is equal to object distance.It also form virtual image means behind ...

Q: estion 1 of 9 The force of Earth's gravity pulls down on a snowflake as it floats gently toward the ...

A: The force of Earth's gravity pulls down on a snowflake as it floats gently toward the ground. What i...

Q: What is the difference between the size of the images created with a convex vs. a concave mirror?

A: Convex Mirror The inner surface is polished and the outer surface is reflective It is also called d...

Q: The switch in a series RL circuit with a re- sistance of 6.1 N , inductance of 3.1 H, and voltage of...

A: Given value--- resistance = 6.1 ohm. Inductance = 3.1 H. Voltage = 35.3 V. We have to find--- Wha...

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

Two progressive waves yi = A sin( 4x – ot) and y2 = A sin("x – ot – 5) travel in the same direction. Calculate the
amplitude Atot of the wave y = yi + y2 produced as a result of interference of these two waves. Take A = 8.6 cm, 1 = 4 m
and w = 10r Hz. Give your answer in centimetres (cm).

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 with 2 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

A sunbather stands waist deep in the ocean and observes that six crests of periodic surface waves pass each minute. The crests are 16.00 meters apart. What is the wavelength, frequency, period, and speed of the waves?
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?
Sound waves can be modeled as a change in pressure. Why is the change in pressure used and not the actual pressure?
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?
What is the length of a tube that has a fundamental frequency of 176 Hz and a first overtone of 352 Hz if the speed of sound is 343 m/s?
Porpoises emit sound waves that they use for navigation. If the wavelength of the sound wave emitted is 4.5 cm, and the speed of sound in the water is v=1530 m/s, what is the period of the sound?
The low-frequency speaker of a stereo set has asurface area of A=0.05 m2 and produces 1 W of acoustical power. (a) What is the intensity at the speaker? (b) If the speaker projects sound uniformly in all directions, at what distance from the speaker is the intensity 0.1 W/m2?
What frequency is received by a mouse just before being dispatched by a hawk flying at it at 25.0 m/s and emitting a screech of frequency 3500 Hz? Take the speed of sound to be 331 m/s.
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?
Check Your Understanding Describe how amplitude is related to the loudness of a sound.
A bat sends of a sound wave 100 kHz and the sound waves travel through air at a speed of v=343 m/s. (a) If the maximum pressure difference is 1.30 Pa, what is a wave function that would model the sound wave, assuming the wave is sinusoidal? (Assume the phase shift is zero.) (b) What are the period and wavelength of the sound wave?
Sound is more effectively transmitted into a stethoscope by direct contact rather than through the air, and it is further intensified by being concentrated on the smaller area of the eardrum. It is reasonable to assume that sound is transmitted into a stethoscope 100 times as effectively compared with transmission though the air. What, then, is the gain in decibels produced by a stethoscope that has a sound gathering area of 15.0 cm2, and concentrates the sound onto two eardrums with a total area of 0.900 cm2 with an efficiency of 40.0% ?