A wave travelling in positive X-direction with a = 0.2 m s-², velocity = 360 60ms-¹ and 2 = 60 m, then correct expression for the wave is 2 sin [2x (61 +) 60 (a) y=0.2 sin 2 6t+ X (b) y=0.2 sin 6t+- sin[지 60 2 sin [2x (61) 60 (c) y=0.2 sin 26t (d) y=0.2 sin 6t sin [7(61 - x0 60 ;)]
Q: The equation of a standing wave is y(x,t) = 0.8 cos(0.05Ttx) sin(200tt) where x and y are in cm andt…
A: Given data: Equation of standing wave: yx,t=0.8 cos0.05πxsin200πt
Q: A standing wave on a stretched string with a tension force F_T and of length L= 2 %3D m has the…
A: The equation of the wave is given as, yx,t=0.1sin2πxcos100πt The standard wave equation is given as,…
Q: A wave propagating along the x axis is described by a displacement D(x,t) = (2.5m) sin (-2m x/(8m) -…
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Q: A standing wave on a stretched string with a tension force F_T and of length L = 2 m has the…
A: Given that,L=2my(x,t)=0.1Sin2πxCos100πtWe know general equation,yx,t=A SinkxCos ωthere,…
Q: A sinusoidal wave is described by the displacement equation rad 4.5 m rad s(x, t) = 8.92 µm · cos…
A: the displacement equation of a sinusoidal wave is given by : s(x,t) = 8.92 μm . Cos[ (4.5 rads)x -…
Q: 3 waves below traveling the in same direction are superposed 400 tt) 400 Ttt + 200 Yı= (2 × 10-3m)…
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Q: The distance between the first and the third nodes of a standing wave is 0.1 m, its maximum…
A: Given, Distance between first and third node is d = 0.1 m Maximum displacement D = 0.04 Frequency…
Q: A standing wave has the following wave-function: y(x,t) = 0.2 sin(2tx) cos(12rt), where x and y are…
A: The equation of a standing wave has the form y(x,t) = 2A Sin(kx) cos (ωt) where A is the amplitude.…
Q: A standing wave with wavelength A= 1.2 m and frequency f 100 Hz is generated on a stretched cord.…
A: Standing waves are considered stationary waves and they are formed when the two waves of equal…
Q: A transverse traveling wave on a string is given by: y(x,t) = (2 cm). sin((100 s-1)t - (12 m-1)x)…
A: Wave equation:y(x,t) = (2 cm). sin((100 s-1)t - (12 m-1)x)Compare with standard equation of wave, ω…
Q: A standing wave on a string of length L = 3 m is described by the following equation: y(x.t) - 0.08…
A: Given, Length of string,L=3 m Equation of standing wave,y=0.08sin(2πx)cos(300πt)
Q: A standing wave has the following wave- function: y(x,t) = 0.2 sin(3ttx) cos(12rt), where x and y…
A: v=ωk=12π3π=4 m/s
Q: Consider the oe-dimensional wave equation u %3D u(0, t) = u(1, t) = 0 %3D u(x,0) = 3 sin(27r) du (x,…
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Q: Two harmonic waves are described by '₁ = (6 cm) sin J'₂ = (6 cm) sin 8 From the choices given,…
A: The positions of the two harmonic waves are y1=6 cmsinπ8mx+2st and y2=6 cmsinπ8mx-2st The…
Q: The wave functions for two waves traveling in the same direction on a string are described below: y…
A: The expression for the first wave function is given as y1x,t=0.2sin8x-50t The expression for the…
Q: The distance between the first and the third nodes of a standing wave is 0.2 m, its maximum…
A: Given : d=0.2m f=40Hz A'=0.02m The distance between first and third node…
Q: Two progressive waves 2л Vı(x, t) = A sin(4x – ot) and y2(x, t) = A sin( 4x – ot – X – wt - - 2…
A: Given, Wave equations, y1x,t=Asin2πλx-ωt y2x,t=Asin2πλx-ωt-π2 Amplitude, A=5 cm=0.05 m. Wavelength…
Q: A standing wave has the following wave-function: y(x.t) 0.2 sin(3rtx) cos(12rt). where x and y are…
A: given , standing wave equation , y(x,t)=0.2sin(3πx)cos(12πt) ...........(1) length of the string ,…
Q: A propagating wave is represented by the wave function y(x.t) = 0.2sin(6TTX + 20Ttt + ) where x and…
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Q: The equation of a transverse traveling wave on a string is given by y =0.0025 sin [300π t +5πx],m…
A: y =0.0025 sin [300π t +5πx]
Q: Suppose a solution to the wave equation is given by y(x,t) = A exp(wt + kx), where A = 4 m, w = 16…
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Q: If y = 0.02 sin (30x-400r) (SI units), the velocity of the wave is
A:
Q: The distance between the first and the third nodes of a standing wave is 0.1 m, its maximum…
A: Given: The distance between first and third node is d=0.1 m. The maximum displacement of particle…
Q: Two identical sinusoidal waves with wavelengths of 1.5 m travel in the same direction at a speed of…
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Q: The distance between the first and the third nodes of a standing wave is 0.1 m, its maximum…
A: Given: The distance is 0.1 m The displacement is 0.04 m The frequency is 160 Hz
Q: The distance between the first and the third nodes of a standing wave is 0.2 m, its maximum…
A: Given, Maximum displacement A = 0.02 m frequency f = 40 Hz distance between first and third node =…
Q: The distance between the first and the third nodes of a standing wave is 0.1 m, its maximum…
A: Maximum displacement = Amplitude =0.04m frequency f=160Hz
Q: The wave functions of two waves traveling in the same direction are given by:y_1…
A: Wave.
Q: The equation of a standing wave is y(x,t) = 0.8 cos(0.1rox) sin(200rt) where x and %3D y are in cm…
A: Given: The equation of standing wave is yx,t=0.8cos0.1πxsin200πt.
Q: The distance between the first and the third nodes of a standing wave is 0.2 m, its maximum…
A: Given: standing wave=0.2 m Maximum displacement =0.02 m frequency=40 Hz
Q: The wave functions of two sinusoidal waves traveling in the same medium are: y1 = 0.7 sin (–0, 25nt…
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Q: Two sinusoidal waves traveling in the same direction interfere to produce a resultant wave with the…
A: given y=0.04sin(0.4x-200t+π4)the given y is of the form y=2Acosϕ2sinkx-ωt+ϕwhere A is amplitude and…
Q: A transverse wave is represented by equation: y(x,t)=(0.015m)sin[2pi t/.001s)+(2pi x/ .1m)] which…
A:
Q: If two waves (Yı and Y2) move in the opposite direction and superimpose with each other to create a…
A: Resultant of two waves superimposed on each other is given as Y=2Amcosϕ2sinkx-ωt+ϕ2…
Q: Two sinusoidal waves traveling in the same medium have the equations: y1 = 1.4sin (–0, 25nt + 4nx)…
A:
Q: The distance between the first and the third nodes of a standing wave is 0.1 m, its maximum…
A: using the standard form of the standing wave: y =yosin(kx±2πft)here yo is the maximum amplitude of…
Q: A wave is described by the given wave function, бл -m='x 5 y(x,t) = 0.65m sin X, -1 + 3 7 The time…
A: Given data: yx,t=0.65 msin6π5 m-1x-8π3 s-1t+π7 Comparing given equation with: yx,t=AsinKx-ωt+ϕ…
Q: The equation of wave is given by y=10sin(2πt/30+α) If the displacement is 5cm at t=0, then the…
A: D
Q: (Question 19 – 21) Consider two waves meet in space, y = 2 cos(0.05xx – 200at), and y2 = 2 cos…
A: Introduction: When two waves arrive at a point simultaneously produces a resultant wave with maximum…
Q: Two waves travelling in the same medium are described by:y1=0.2 sin(2ttx+5tt); y2=0.2 sin(2Ttx-5tt)…
A: The two are y1=0.2sin2πx+5πty2=0.2sin2πx-5πt From the above, it is clear that the above two waves…
Q: Two waves traveling in the same direction are described by the wave functions: y_1…
A: The given functions are, y1(x,t)=0.04sin2πx-6πt+π2y2(x,t)=0.04sin2πx-6πt
Q: The equation of a standing wave is y(x,t) = 0.8 cos(0.2Ttx) sin(200rt) %3D where x and y are in cm…
A: The distance between the two successive nodes is, L=λ2 The wavelength of the wave is,…
Q: Two waves travelling in the same medium are described by:y1=0.2 sin(2tX+5t); y2=0.2 sin(2ttx-5t) The…
A: y=y1+y2y=0.2sin(2πx+5πt)+0.2sin(2πx-5πt)y=0.2sin(2πx+5πt+(2πx-5πt)2)cos(2πx+5πt-(2πx-5πt)2)y=0.2sin(…
Q: A standing wave on a string of length L = 3 m is described by the following equation: y(x,t) = 0.08…
A: The standard equation of the standing wave is yx,t=2Asinkxcosωt , where A is the amplitude of the…
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