Two sinusoidal waves are moving through a medium in the negative x-direction. Each of the waves has an amplitude of 6 cm, a wavelength of 3 m, and a frequency of 1 Hz. The phase difference between the two waves is p = T/3 rad. What is the transverse displacement (y_res = ?) of an element on the resultant %3! wave at t = 0.05 sec and at a position x = 0.4 m? %3D O y_res = 9 cm O yres = 6 cm O y_res = 10.33 cm O y_res = 4.85 cm O y_res = 5.23 cm

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Chapter16: Waves
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Problem 111P: Two sinusoidal waves with identical wavelengths and amplitudes travel in opposite directions along a...
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Two sinusoidal waves are moving through a medium in the negative x-direction.
Each of the waves has an amplitude of 6 cm, a wavelength of 3 m, and a
frequency of 1 Hz. The phase difference between the two waves is p = T/3 rad.
What is the transverse displacement (y_res = ?) of an element on the resultant
wave at t = 0.05 sec and at a position x = 0.4 m?
%3D
O y_res = 9 cm
O y_res = 6 cm
O y_res = 10.33 cm
O y_res = 4.85 cm
!!
y_res = 5.23 cm
Two waves travelling in the same direction are described by the wave functions:
y1 (x,t) = 0.03 sin(rx - 10rnt) and y2 (x.t) = 0.03 sin(rox - 10rtt + 10r/3), where x and
y are in meters and t is in seconds. Which of the following wave functions
represents the resultant wave due to the interference between the two waves?
O y_res (x.t) = 0.03sin(rx - 10nt + 5r/3)
O y_res (x,t) = 0.06sin(nx - 10nt + T/3)
%3D
O y_res (x,t) = 0.03V3sin(nx - 10nt + T/6)
O y_res (x,t) = 0.03sin(nx - 10nt + n/3)
O y_res (x.t) = 0.06sin(nx - 10nt + n/6)
Transcribed Image Text:Two sinusoidal waves are moving through a medium in the negative x-direction. Each of the waves has an amplitude of 6 cm, a wavelength of 3 m, and a frequency of 1 Hz. The phase difference between the two waves is p = T/3 rad. What is the transverse displacement (y_res = ?) of an element on the resultant wave at t = 0.05 sec and at a position x = 0.4 m? %3D O y_res = 9 cm O y_res = 6 cm O y_res = 10.33 cm O y_res = 4.85 cm !! y_res = 5.23 cm Two waves travelling in the same direction are described by the wave functions: y1 (x,t) = 0.03 sin(rx - 10rnt) and y2 (x.t) = 0.03 sin(rox - 10rtt + 10r/3), where x and y are in meters and t is in seconds. Which of the following wave functions represents the resultant wave due to the interference between the two waves? O y_res (x.t) = 0.03sin(rx - 10nt + 5r/3) O y_res (x,t) = 0.06sin(nx - 10nt + T/3) %3D O y_res (x,t) = 0.03V3sin(nx - 10nt + T/6) O y_res (x,t) = 0.03sin(nx - 10nt + n/3) O y_res (x.t) = 0.06sin(nx - 10nt + n/6)
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