Two transverse sinusoidal waves combining in a string are described by the wave functions y1 = 0.02 sin(2tx+Ttt) and y2 = 0.02 sin(2tx- %3D Ttt), where x and y are in meters, and t is in seconds. If after superposition, a standing wave of 3 loops is formed, then the length of the string is: O 2 m O 0.5 m O 1 m O 0.75 m O 1.5 m
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 standing wave on a stretched string fixed at both ends is described by: y(x,t) = 0.1 %3D sin(2Ttx)…
A: Given data: yx,t=0.1sin2πxcos100πt Length of the string, L=1 m At, t = 0, x = 0.75 m
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: If two waves (Y1 and Y2) move in the same direction and superimpose with each other to create a…
A: Given, The velocity of a wave is given by,
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, y(x,t)=0.8cos0.05πtsin200πtCompare with,y(x,t)=Acosktsinωt Amplitude, A=0.8cm k=0.05π so,…
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 standing wave on a stretched string fixed at both ends is described by: y(x,t): 0.1 sin(2Ttx)…
A: Solution: Given that, The equation of standing wave is: y(x,t)=0.1 sin(2πx)cos(100πt)
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 taut string, fixed at both ends, is driven by an oscillator at a constant frequency of 175 Hz. The…
A:
Q: A string of mass m is under tension, and the speed of a wave in the string is v. What will be the…
A: Mass = m Speed = v Mass increased to 6 m. New speed is to be calculated.
Q: Two transverse sinusoidal waves combining in a string are described by the wave functions y1 = 0.02…
A: Solution: Given that, Wave functions y1 = 0.02 sin(2πx+πt) and y2 = 0.02 sin(2πx-πt) Let the…
Q: A standing wave on a stretched string fixed at both ends is described by: y(x,t) = 0.1 sin(2rtx)…
A: Given: The displacement (y) of the standing wave at any time (t) is given by 0.1Sin(2πx)Cos(100πt).…
Q: A standing wave on a 2-m stretched string is described by: y(x,t) = 0.1 sin(4ttx) cos(50rtt), where…
A:
Q: Two transverse sinusoidal waves combining in a string are described by the wave functions y1 - 0.02…
A: Given Y1 = 0.02sin(4πx+πt) Y2 = 0.02sin(4πx-πt) number of loops n =3
Q: A standing wave is set up on a string of length L, fixed at both ends. If 4-loops are observed when…
A: Given The string is fixed at both ends. No of loop produced in the the string is n=4 Wavelength is…
Q: If y(x,t) = ( 8.4 mm) sin[kx+ (580 rad/s)t + p] describes a wave traveling along a string, how much…
A: A wave is given by the equation : y(x,t) = 8.4mm Sin(kx + 580t + φ)
Q: If two waves (Yı and Y2) move in the opposite direction and superimpose with each other to create a…
A: [ Given waves are both moving in the same direction i.e. +x-axis with second wave having a phase…
Q: A standing wave on a stretched string with a tension force F_T and of length L = 2 %3D m has the…
A: A standing wave, also known as a stationary wave, is a wave which oscillates in time but whose peak…
Q: A standing wave on a stretched string with a tension force F_T and of length L = 2 m has the…
A: Given: Length is given as 2 m The equation can be given as, yx,t=0.1sin2πxcos100πt The reduction…
Q: Two transverse sinusoidal waves combining in a string are described by the wave functions y1 = 0.02…
A: Given, y1=0.02sin4πx+πty2=0.02cos4πx-πt Compare with y=Asinkx+ωt So, wave angular number, k=4π…
Q: A standing wave on a stretched string with a tension force F_T and of length L = 2 m %3D has the…
A: Given:- L = 2m y (x,t) = 0.1 sin 2πx cos 100 πt
Q: A standing wave on a stretched string fixed at both ends is described by: y(x.t) = 0.1 sin(2Ttx)…
A: t=0.025 sec t=0.02 sec t=0.015 sec t=0.005 sec 0.01 sec
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: A standing wave on a stretched string fixed at both ends is described by: y(x,t) = 0.1 sin(2Ttx)…
A: Given: y(x,t) =0.1sin(2πx)cos(100πt) L=1m x=0.75 cm
Q: Two transverse sinusoidal waves combining in a string are described by the wave functions y1=0.02…
A: A standing wave can be formed in a loop if two waves travelling in the opposite direction through…
Q: Show the function E (x, t) = E, sin(kx – wt) + cos(kx- wt) satisfies the one-dimensional wave…
A: Concept used: Electric and magnetic field follow wave equation.
Q: A standing wave on a stretched string fixed at both ends is described by: y(x,t) = 0.1 sin(2Ttx)…
A: Given, Wave equation is yx,t=0.1sin2πxcos100πt
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 L=3my(x,t)=0.08sin(2πx)cos(300πt)
Q: A standing wave on a stretched string fixed at both ends is described by: y(x,t) D 0.1 sin(2Ttx)…
A: The general form of standing wave equation is given by yx,t=Asinkxcosωt Differentiating with…
Q: A standing wave on a stretched string with a tension force F T and of length L = 2 m has the…
A: Given, Length of string L = 2 m Velocity is reduce by factor 3
Q: A standing wave on a stretched string with a tension force F T and of length L = 2 m has the…
A: The standing waves are the waves that are formed by the superposition of the two waves that move…
Q: Two transverse sinusoidal waves combining in a string are described by the wave functions y1 = 0.02…
A: Given: The wave function of first wave is y1=0.02sin4πx+πt. The wave function of second wave is…
Q: A certain traveling wave on a string obeys the function: y1(x, t) = 0.5m cos((0.25π rad/m) x +…
A: Understanding the traveling waves equation and the superposition of the waves is very important.…
Q: Two transverse sinusoidal waves combining in a string are described by the wave functions y1 = 0.02…
A: y1 = 0.02 sin3πx+πt y2 = 0.02 sin3πx-πt n = 3 L = ?
Q: Two transverse sinusoidal waves combining in a string are described by the wave functions y1 = 0.02…
A: Given data: The number of loops is n=3. The equation of the first wave is given by:…
Q: A standing wave on a stretched string fixed at both ends is described by: y(x.t) = 0.1 sin(2Ttx)…
A: Given, y(x,t)=0.1sin(2πx)cos(100πt) Length of string L = 1 m Location of string x = 0.75 cm So,…
Q: A standing wave on a string of length L = 3 m fixed at both ends is described by: y(x,t) =…
A:
Q: A standing wave has the following wave-function: y(x,t) = 0.2 sin(TtX) cos(12rt), where x and y are…
A: Length, L=2 m
Step by step
Solved in 2 steps