Two identical sinusoidal waves of amplitude A and frequency 10 Hz travel in the same direction at a speed of 15 m/s. The second wave originates from the same point as the first (x_(0,1)=x_(0,2)=x_o), but at a later time (t_(0,2)>t_(o,1)). If the amplitude of the resultant wave due to interference is equal to Av3, then the minimum possible time interval, At_o between the starting moments of the two waves is: O (1/60) sec (1/40) sec (1/30) sec 0.045 sec

Two identical sinusoidal waves of amplitude A and frequency 10 Hz travel in the same direction at a speed of 15 m/s. The second wave originates from the same point as the first (x_(0,1)=x_(0,2)=x_o), but at a later time (t_(0,2)>t_(o,1)). If the amplitude of the resultant wave due to interference is equal to Av3, then the minimum possible time interval, At_o between the starting moments of the two waves is: O (1/60) sec (1/40) sec (1/30) sec 0.045 sec

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

Similar questions

The resultant intensity due to the destructive interference of two waves is 36 W/m2. Evaluate the amplitude of each wave if the ratio of their amplitudes is 5/2
When a plane wave travels in a medium, the displace- ments of particles are given by y = 0.01 sin [27 (2t – 0.01x)] where x and y are in metre and t in second. Find (a) the amplitude, wavelength, wave velocity and frequency of the wave, (b) the phase difference between two positions of the same particle in a time interval of 0.25s and (c) the phase difference at a given instant of time between two particles 50 m apart.
The resultant intensity due to destructive interference of two waves is 36 W/m2. Evaluate the amplitude of each wave if the ratio of their amplitude is 1/4
Two identical traveling waves of the form Acos(kx - ωt+ø) are moving in the same direction and are out of phase by ø=π/2 radians. If the amplitude of each wave is 10 cm what is is the amplitude of the superposition of the two waves. Use the trig identity Acos(x) + Acos(y) = 2Acos(x+y)/2)cos((x-y)/2). Substitute x = kx - ωt and y = kx - ωt + ø and you get 2Acos(ø/2)cos(kx - ωt + ø/2). The amplitude of the superposition wave is 2Acos(ø/2). Plug in ø=π/2 radians and the amplitude of the traveling waves to get your answer. Make sure your calculator is set to radians.
Two sinusoidal waves of wavelength A = 2/3 m and amplitude A = 6 cm and differing with their phase constant, are travelling to the right with same velocity v = 60 m/s. The resultant wave function y_res (xt) will have the form: y_res (x,t) = 12(cm) cos(4/2) sin(3rtx-180nt+p/2). O y_res (x,t) = 12(cm) cos(9/2) sin(3rx-150nt+p/2). O y_res (x,t) = 12(cm) cos(p/2) sin(150rtx-3nt+p/2). O y_res (x,t) = 12(cm) cos(p/2) sin(150rx+3nt+p/2). O y_res (x,t) = 12(cm) cos(p/2) sin(3rx+150nt+p/2).
Two sinusoidal waves travel in the same direction with the same amplitude A = 1 m, same wavelength >=0.25m, and speed v = 2 m/s.If the phase difference between the two waves is =π/3, then the resultant interference wave function is expressed as: y_res (x,t)=1.73sin (0.5mx-16nt+n/6) y_res (x,t)=0.86sin(8nx-16nt+n/6) Oy_re's (x,t)=0.86sin(0.5mx-16nt+n/6) Oy_res (x,t)=1.73sin(8nx-16nt+n/6)
Two sinusoidal waves in a string are defined by the wave functions Yn = 2.00 sin(20.0r – 32.01) Y = 2.00 sin(25.0r – 40.0t) where r, y1 and y2 are in centimeters, t is in seconds and the angles are measured in radians. (a) What is the phase difference between these two waves at the point r = 5.00 cm at t = 2.00 s. Give your final answer in degrees between 0° and 360°. (b) What is the positive a value closest to the origin for which the two phases differ by +r at t = 2.00 s resulting in a zero displacement? Show all your workings and explain your reasoning.
Two sinusoidal waves of wavelength A = 2/3 m and amplitude A = 6 cm and differing with their phase constant, are travelling to the right with same velocity v = 60 m/s. The resultant wave function y_res (x,t) will have the form: y_res (x,t) = 12(cm) cos(4/2) sin(3Ttx+150rnt+p/2). %3D y_res (x,t) = 12(cm) cos(4/2) sin(3tx- 150πt+φ/2). %3D y_res (x,t) = 12(cm) cos(p/2) sin(150Ttx+3t+p/2). %3D y_res (x,t) = 12(cm) cos(p/2) sin(150tx- 3πt+φ/2). y_res (x,t) = 12(cm) cos(4/2) sin(3Ttx- 180nt+p/2).
Consider two sinusoidal waves traveling along a string, modeled as y,(x, y) = 0.4m sin(3m-1x + 1s-1t) and y2(x, y) = 0.8m sin(9m-1x – 4s-1t). What is the height of the resultant wave formed by the interference of the two waves at the position x = 1.5 m at time t = 0.5 s? Express your answer in m. %3D %3D
Two identical sinusoidal waves with wavelengths of 1.5 m travel in the same direction at a speed of 25 m/s. If the two waves originate from the same starting point, but with time delay At between them, and with resultant amplitude A resultant = V3 A then At will be equal to: 0.00625 sec 0.025 sec O 0.005 sec O 0.01 sec O 0.0125 sec Two transverse sinusoidal waves combining in a string are described by the wave