Question

Two waves of amplitude 0.53 m and 0.58 m interfere. If the resultant intensity at a given point is 1.2321 W/m2. Predict whether the waves produce constructive or destructive interference at this point and also maximum and minimum amplitudes

Answer #1

Is it possible for two waves traveling in the same direction to
interfere and produce a wave with an amplitude larger than either
of the two initial waves?
A.Yes. This is an example of destructive
interference.
B.No. It is impossible for two waves heading in the same
direction to interfere with each other.
C.No. Waves cannot combine and will bend to pass around each
other if they meet at a point.
D. Yes. This is an example of constructive
interference.

16.)A wave of amplitude 0.50 m interferes with a second wave of
amplitude 0.38 m traveling in the same direction.
(a) What is the largest resultant amplitude that can occur, and
under what conditions will this maximum arise?
m
The two waves interfere constructively.
OR
The two waves interfere
destructively.
(b) What is the smallest resultant amplitude that can occur, and
under what conditions will this minimum arise?
m
The two waves interfere destructively.
OR
The two waves interfere constructively....

Two waves, each of frequency 250 Hz and wavelength
25.12 cm, produce
interference in which the maximum amplitude is 0.10 m and minimum
amplitude is
0.04 m. Estimate (a) the angular frequency of each wave, (b) the
propagation
constant (k) of each wave, (c) the amplitude of each wave and (d)
resultant
intensity, if the phase difference between the waves is 3.14
radian.

Two travelling sinosoidal electromagnetic waves, each with an
intensity 15 W/m2W/m2 , interfere to form a standing wave. The
resulting electric field E⃗ (z,t)E→(z,t) has nodes (i.e., is zero
at all times) at z=…,−2a,−a,0,a,2a,…z=…,−2a,−a,0,a,2a,… with aaa =
4.0 mm , and satisifes E⃗ (z,0)=0E→(z,0)=0. Furthermore, the
magnetic field B⃗ (z,t)B→(z,t) is observed to point along ±i^±i^
everywhere. You may take ccc = 3.0×108 m/sm/s and
8.9×10−12 F/mF/m .
A) What is the wavelength λλlambda of the two constituent
travelling waves?...

Indicate true or false in each of the following
statements:
True False Two identical waves destructively interfere
if their phase difference is 7π radians
True False Destructive interference occurs when the
phase difference of two otherwise identical waves is 2π or
multiples thereof.
True False Two identical waves constructively interfere
if their phase difference is 2π radians
True False Two identical waves destructively interfere
if the difference in their travel time is zero.
True False When the peaks of two identical waves
coincide their sum...

Table 2: Wave Superposition Data Time Location Wave F amplitude
Wave G amplitude Resultant wave amplitude 0.11 s 0.250 0.11 s
-0.250 0.11 s 0.500 0.11 s -0.500 0.25 s 0.000 0.25 s 0.250 0.25 s
0.500 The points at 0.250 and 0.750 are The points at 0.000 and
0.500 are Nodes are found at points of Antiodes are found at points
of maximum Rogue waves in the ocean were considered a myth for a
very long time, fanciful and...

Two in-phase sources of waves are separated by a distance of
3.68 m. These sources produce identical waves that have a
wavelength of 5.28 m. On the line between them, there are two
places at which the same type of interference occurs. (a) Is it
constructive or destructive interference? (b) and (c) Where are
these places located (the smaller distance should be the answer to
(b))?

Two in-phase sources of waves are separated by a distance of
3.88 m. These sources produce identical waves that have a
wavelength of 5.65 m. On the line between them, there are two
places at which the same type of interference occurs.
(a) Is it constructive or destructive
interference? (b) and (c) Where
are these places located (the smaller distance should be the answer
to (b))?

Two loudspeakers emit coherent in phase sound waves with at a
frequency of 68.8 Hz. The speed of sound is 344.0 m/s.
Point q is vertically located 2.0 m from the bottom speaker and
5.0 m from the top speaker. At point q, is there maximum
constructive interference, complete destructive interference, or
neither?? Explain your answer.

Two waves traveling in opposite directions on a stretched rope
interfere to give the standing wave described by the following wave
function:
y(x,t) = 4 sin(2πx) cos(120πt),
where, y is in centimetres, x is in meters, and t is in seconds.
The rope is two meters long, L = 2 m, and is fixed at both
ends.
In terms of the oscillation period, T, at which of the following
times would all elements on the string have a zero vertical...

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