Consider a sum of two waves x= 2.0sin((2(pi)t)/5.0 + A) + 2.0sin((2(pi)t)/5.0) What is the smallest...
Consider a sum of two waves x= 2.0sin((2(pi)t)/5.0 + A) + 2.0sin((2(pi)t)/5.0) What is the smallest positive value of A so that the two waves interfere destructively? Use 3 significant figures
Homework Answers
The interfrence will be destructive if the phase difference is half odd intergral multiples of pi. The smallest possible value is pi/2 or 1.57 rad
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Consider a sum of two waves x= 2.0sin((2(pi)t)/5.0 + A) +
2.0sin((2(pi)t)/5.0) What is the smallest...
Problem 2 Consider the following two mechanical waves traveling in opposite directions in the same medium:...
Problem 2 Consider the following two mechanical waves traveling in opposite directions in the same medium: yr(x, t) 10 cos(10t - 10x) cm y2(x, t) 10 sin(10t + 10x) cm where x is in centimeters. It can be said that the waves interfere with each other constructively where their superposition, [ysl = y, + y2l, is at a maximum and that the waves interfere with each other destructively where ly,l is at a minimum. Answer the following: a) For time...
1.8 Two waves on a string are given by the following functions: yi(x, 4 cos(201 - 30x) (cm) y2(x, t)-4 cos(20t 30x) (cm...
1.8 Two waves on a string are given by the following functions: yi(x, 4 cos(201 - 30x) (cm) y2(x, t)-4 cos(20t 30x) (cm) where x is in centimeters. The waves are said to interfere constructively when their superposition lyslyy2l is a maximum, and they interfere destructively when ly,l is a minimum. e rs yis.n and y2(x, t)? (b) At t-(n/50) s, at what location x do the two waves interfere constructively, and what is the corresponding value of lyl? (c)...
Learning Goal: To gain an understanding of constructive and destructive interference. Consider two sinusoidal waves (1...
Learning Goal:
To gain an understanding of constructive and destructive interference.
Consider two sinusoidal waves (1 and 2) of identical wavelength ?, period T, and maximum amplitude A. A snapshot of one of these waves taken at a certain time is displayed in the figure below. (Figure 1) Let y1(x,t) and y2(x,t) represent the displacement of each wave at position x at time t. If these waves were to be in the same location (x) at the same time, they...
Two sources produce coherent light waves that come together at a detector located 3.20000 mm from...
Two sources produce coherent light waves that come together at a detector located 3.20000 mm from one source and 3.20110 mm from the other. If the two waves interfere destructively, what is the longest possible value for the wavelength? Assume the light is visible light (400-700 nm) and keep three significant figures in your calculation.(Also enter your answer to three significant figures.)
I got everything else right except part c, no idea. Two speakers, emitting identical sound waves...
I got everything else right except part c, no idea.
Two speakers, emitting identical sound waves of wavelength 1.4 m in phase with each other, and an observer are located as shown in the figure below. (Let x = 5.0 m, and y = 8.0 m.) At the observer's location, what is the path difference for waves from the two speakers? m Will the sound waves interfere constructively or destructively at the observer's location? constructive destructive Suppose the observer now...
A standing wave results from the sum of two transverse traveling waves given by y1 =...
A standing wave results from the sum of two transverse traveling waves given by y1 = ymcos(kx - ωt) and y2 = ymcos(kx + ωt) where ym = 0.047 m, k = 3.2 rad/m, and ω = 12 rad/s. (a) What is the smallest positive value of x that corresponds to a node? Beginning at t = 0, what is the value of the (b) first, (c) second, and (d) third time the particle at x = 0 has zero...
A standing wave results from the sum of two transverse traveling waves given by y1 =...
A standing wave results from the sum of two transverse traveling waves given by y1 = ymcos(kx - ωt) and y2 = ymcos(kx + ωt) where ym = 0.057 m, k = 4.4 rad/m, and ω = 13 rad/s. (a) What is the smallest positive value of x that corresponds to a node? Beginning at t = 0, what is the value of the (b) first, (c) second, and (d) third time the particle at x = 0 has zero...
Two transverse sinusoidal waves combining in a medium are described by the wave functions y_1 =...
Two transverse sinusoidal waves combining in a medium are described by the wave functions y_1 = 1.00 sin pi (x + 0.900t) y_2 = 1.00 sin pi(x - 0.900t) where x, y_1, and y_2 are in centimeters and t is in seconds. Determine the maximum transverse position of an element of the medium at the following positions. x = 0.240 cm |y max| = x = 0.340 cm |ymax| = x = 1.40 cm |ymax| = Find the three smallest...
For this problem, consider the sum of two slightly different waves with similar electric fields: v1(z,t)...
For this problem, consider the sum of two slightly different waves with similar electric fields: v1(z,t) = sin(wt - kz) v2(z,t) = sin([w + Dw]t - [k + Dk]z) Derive analytically an expression for the group and phase velocity for the sum of the two fields. HINT: sin(a) + sin(b) = 2 sin[(a+b)/2]cos[(a-b)/2]
5-2 Written problem: Consider two waves on two side-by-side strings along the x-axis, one of form...
5-2 Written problem: Consider two waves on two side-by-side strings along the x-axis, one of form yi(x,t) - A sin(kx - cot) and the other of form y(x, t-A sin(kx-ω1+ φ), where A-10.0 cm, k 3.0007 cm-1 and 0.516 s, as sketched below (this is a snapshot in time - the waves are moving together to the right) Problem 5-2 What value of the phase constant ф will make y2-y/2 at t-1.5 s and at x - 0 while also...
Problem 2 Consider the following two mechanical waves traveling in opposite directions in the same medium: yr(x, t) 10 cos(10t - 10x) cm y2(x, t) 10 sin(10t + 10x) cm where x is in centimeters. It can be said that the waves interfere with each other constructively where their superposition, [ysl = y, + y2l, is at a maximum and that the waves interfere with each other destructively where ly,l is at a minimum. Answer the following: a) For time...
1.8 Two waves on a string are given by the following functions: yi(x, 4 cos(201 - 30x) (cm) y2(x, t)-4 cos(20t 30x) (cm) where x is in centimeters. The waves are said to interfere constructively when their superposition lyslyy2l is a maximum, and they interfere destructively when ly,l is a minimum. e rs yis.n and y2(x, t)? (b) At t-(n/50) s, at what location x do the two waves interfere constructively, and what is the corresponding value of lyl? (c)...
Learning Goal:
To gain an understanding of constructive and destructive interference.
Consider two sinusoidal waves (1 and 2) of identical wavelength ?, period T, and maximum amplitude A. A snapshot of one of these waves taken at a certain time is displayed in the figure below. (Figure 1) Let y1(x,t) and y2(x,t) represent the displacement of each wave at position x at time t. If these waves were to be in the same location (x) at the same time, they...
I got everything else right except part c, no idea.
Two speakers, emitting identical sound waves of wavelength 1.4 m in phase with each other, and an observer are located as shown in the figure below. (Let x = 5.0 m, and y = 8.0 m.) At the observer's location, what is the path difference for waves from the two speakers? m Will the sound waves interfere constructively or destructively at the observer's location? constructive destructive Suppose the observer now...
Two transverse sinusoidal waves combining in a medium are described by the wave functions y_1 = 1.00 sin pi (x + 0.900t) y_2 = 1.00 sin pi(x - 0.900t) where x, y_1, and y_2 are in centimeters and t is in seconds. Determine the maximum transverse position of an element of the medium at the following positions. x = 0.240 cm |y max| = x = 0.340 cm |ymax| = x = 1.40 cm |ymax| = Find the three smallest...
5-2 Written problem: Consider two waves on two side-by-side strings along the x-axis, one of form yi(x,t) - A sin(kx - cot) and the other of form y(x, t-A sin(kx-ω1+ φ), where A-10.0 cm, k 3.0007 cm-1 and 0.516 s, as sketched below (this is a snapshot in time - the waves are moving together to the right) Problem 5-2 What value of the phase constant ф will make y2-y/2 at t-1.5 s and at x - 0 while also...
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