Two transverse waves travel along the same taut string. Wave 1 is described by y1(x, t) = A sin(kx - ωt), while wave 2 is described by y2(x, t) = A sin(kx + ωt + φ). The phases (arguments of the sines) are in radians, as usual, and A = 2.1 cm and φ = 0.35π rad. a)Choose the answer that correctly describes the waves’ directions of travel.MultipleChoice :1) Both waves travel in the negative x direction.2) Due to the φ term in the phase of wave 2, it does not travel. Wave 1 travels in the negative x-direction.3) Due to the φ term in the phase of wave 2, it does not travel. Wave 1 travels in the positive x-direction.4) Both waves travel in the positive x-direction.5) Wave 1 travels in the negative x-direction, while wave 2 travels in the positive x-direction.6) Wave 1 travels in the positive x-direction, while wave 2 travels in the negative x-direction.7) There is not enough information. b)hat form do the wave functions take at the position x = 0?MultipleChoice :1) y1 = A, y2 = 02) y1 = A sin(k - ωt), y2 = A sin(k + ωt + φ)3) y1 = 0, y2 = 04) y1 = 0, y2 = A5) y1 = A sin(-ωt), y2 = A sin(ωt)6) y1 = A sin(-ωt), y2 = A cos(ωt)7) y1 = A cos(-ωt), y2 = A cos(ωt + φ)8) y1 = A sin(-ωt), y2 = A sin(ωt + φ) c)With A = 2.1 cm and φ = 0.35π; rad, calculate the total displacement of the string, in centimeters, at the position x = 0 at time t = 0. d)If, instead, you are given φ = 0, what will be the total displacement of the string at the position x = 0 as function of time, t.MultipleChoice :1) The displacement will be y = A sin(φ) for all t.2) The displacement will vary between -A and A at a rate given by the period, 2π/ω3) The displacement will vary between -2A and 2A at a rate given by the period, 2π/ω.4) The displacement will be y = 2A for all t.5) The displacement will be y = A for all t.6) The displacement will be y = 0 for all t.7) There is not enough information.
Interference of sound
Seiche
A seiche is an oscillating standing wave in a body of water. The term seiche pronounced saysh) can be understood by the sloshing of water back and forth in a swimming pool. The same phenomenon happens on a much larger scale in vast bodies of water including bays and lakes. A seizure can happen in any enclosed or semi-enclosed body of water.
Two transverse waves travel along the same taut string. Wave 1 is described by y1(x, t) = A sin(kx - ωt), while wave 2 is described by y2(x, t) = A sin(kx + ωt + φ). The phases (arguments of the sines) are in radians, as usual, and A = 2.1 cm and φ = 0.35π rad.
a)Choose the answer that correctly describes the waves’ directions of travel.
MultipleChoice :
1) Both waves travel in the negative x direction.
2) Due to the φ term in the phase of wave 2, it does not travel. Wave 1 travels in the negative x-direction.
3) Due to the φ term in the phase of wave 2, it does not travel. Wave 1 travels in the positive x-direction.
4) Both waves travel in the positive x-direction.
5) Wave 1 travels in the negative x-direction, while wave 2 travels in the positive x-direction.
6) Wave 1 travels in the positive x-direction, while wave 2 travels in the negative x-direction.
7) There is not enough information.
b)hat form do the wave functions take at the position x = 0?
MultipleChoice :
1) y1 = A, y2 = 0
2) y1 = A sin(k - ωt), y2 = A sin(k + ωt + φ)
3) y1 = 0, y2 = 0
4) y1 = 0, y2 = A
5) y1 = A sin(-ωt), y2 = A sin(ωt)
6) y1 = A sin(-ωt), y2 = A cos(ωt)
7) y1 = A cos(-ωt), y2 = A cos(ωt + φ)
8) y1 = A sin(-ωt), y2 = A sin(ωt + φ)
c)With A = 2.1 cm and φ = 0.35π; rad, calculate the total displacement of the string, in centimeters, at the position x = 0 at time t = 0.
d)If, instead, you are given φ = 0, what will be the total displacement of the string at the position x = 0 as function of time, t.
MultipleChoice :
1) The displacement will be y = A sin(φ) for all t.
2) The displacement will vary between -A and A at a rate given by the period, 2π/ω
3) The displacement will vary between -2A and 2A at a rate given by the period, 2π/ω.
4) The displacement will be y = 2A for all t.
5) The displacement will be y = A for all t.
6) The displacement will be y = 0 for all t.
7) There is not enough information.
Trending now
This is a popular solution!
Step by step
Solved in 6 steps with 4 images
