Fully constructive interference between two sinusoidal waves occurs only if
they are in phase
and they are travelling in same direction
if they are travelling in differnet direction (ooposite directions)
then
for constructive interference, they need to be in phase with their maximas aligned as well
hence
option c is the answer
8-Fully constructive interference between two sinusoidal waves of the same frequency occurs only if they: A....
32. Two loudspeakers, A and B , are driven by the same amplifier and emit sinusoidal waves in phase. Speaker B is 2.00 m to the right of speaker A. Consider point Q along the extension of the line connecting the speakers, 1.00 m to the right of speaker B. Both speak- ers emit sound waves that travel directly from the speaker to point Q. (see figure) (a) What is the lowest frequency for which constructive interference occurs at point...
Two sinusoidal waves of the same frequency travel in the same direction along a string. If ym1 = 4.7 cm, ym2 = 6.3 cm, φ1 = 0, and φ2 = π/3 rad, what is the amplitude of the resultant wave?
Two sinusoidal waves of the same frequency travel in the same direction along a string. If ym1 = 5.0 cm, ym2 = 6.7 cm, φ1 = 0, and φ2 = π/5 rad, what is the amplitude of the resultant wave? Number ______________ Units: ____
Interference with Loudspeakers Two loudspeakers, A and B, are driven by the same amplifier and emit sinusoidal waves OUT of phase. The frequency of the waves emitted by each speaker is 172 Hz. You are 8.00 m from speaker A. Take the speed of sound in air to be 344 m/s.(Hint: out of phase means their phase constants differ by pi ) (a) What is the closest you can be to speaker B and be at a point of maximum...
Two small loudspeakers emit pure sinusoidal waves with
frequency-independent amplitude that are in phase.
a ) At the frequencies 0.63 kHz, 1.91 kHz, and 3.19 kHz we have
constructive interference at point P.
b)
At the frequencies 1.27 kHz, 2.55 kHz, and 3.82 kHz the sound
at point P is very soft.
c)
At the frequencies 1.27 kHz, 2.55 kHz, and 3.82 kHz the sound
at point P is loud.
d)
The intensity of the sound at point P does...
Three sinusoidal waves of the same frequency travel along a string in the positive direction of an x axis. Their amplitudes are A, A/2, and A/3, and their phase constants are 0,T/2 and . Find: a. the amplitude and b. the phase constant of the resultant wave c. Plot the wave form of the resultant wave at t 0 and discuss its behavior as t increases.
Suppose two coherent waves start from the same point and travel different paths before coming back together and interfering with each other. a. What is the relationship between the path difference Δ between the two waves and their wavelength if constructive interference occurs at the point of interference? b. What is the relationship between the path difference Δ between the two waves and their wavelength if constructive interference occurs at the point of interference?
Two sinusoidal waves, identical except for phase, travel in the same direction along a string, producing a net wave y´(x, t) = (3.50 mm) sin(14.0x - 3.50t + 0.840 rad), with x in meters and t in seconds. What are (a) the wavelength λ of the two waves, (b) the phase difference between them, and (c) their amplitude ym?
1. Two waves of the same wavelength interfere - in which case(s) below, will the two waves experience fully destructive interference? (Note: π is "pi") A) the two waves are 90o degrees apart in phase B) the two waves are 2π radians apart in phase C) the two waves are π radians apart in phase D) the two waves are 1.5 wavelengths apart in phase E) the two waves are one wavelength apart in phase F) the two waves are...
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...