Sketch the profile of the wave (x,t) = A sin(kx-t+), where
the initial phase is given by each of the following: =0 , =/2
and
Homework Answers
Add Answer to:
Sketch the profile of the wave (x,t) = A sin(kx-t+), where
the initial phase is given...
1. Assume that the light of electric field B(x,t) Eo sin(kx - at) coming from the...
1. Assume that the light of electric field B(x,t) Eo sin(kx - at) coming from the single slit can be divided into N identical waves with electric fields of the form E (x,t) E sin(kx - wt), E2(x, t) B sin (kx- c 2) E(x,t) = wt + - and the phase difference between the first and the Nth E sin kx- wt + waves is . The amplitudes of the electric fields have a relation Eo NE Assume that...
A free proton has a wave function Psi (x) = A sin (kx), where k =...
A free proton has a wave function Psi (x) = A sin (kx), where k = 1.2 times 10^10 m^-1 What is the proton's lambda? What is the proton's momentum? What is the proton's speed? Normalize Psi (x) if the wave only exists inside an infinite square well with width a = 2.1 m, (so that Psi (x) = A sin (kx) between 0 < x < a and Psi (x) = 0 otherwise).
An electron in freespace is described by a plane wave given by Ч (x, t)-A&(kx-at) where...
An electron in freespace is described by a plane wave given by Ч (x, t)-A&(kx-at) where k 1.5 x 10 m1 and w 1.5 x 1013 rad/s. Calculate: a. Wavelength and momentum of the wave (10 points) b. Total energy and its kinetic energy (in eV) (10 points) 2.
7. (Problem 7.1) A string is oscillating with the wave function y(x,t) A sin(kx-wt) with A-3...
7. (Problem 7.1) A string is oscillating with the wave function y(x,t) A sin(kx-wt) with A-3 cm, k=0.2π rad/cm, and ω = 10π rad/cm. For both t = 0.05s and 0.07s sketch the string for 0 s xS 10 cm
(1 point) Solve the wave equation with fixed endpoints and the given initial displacement and velocity. a2 ,0<x<L, t > 0 a(0. t) = 0, u(L, t) = 0, t > 0 Ou Ot ηπα t) + B,, sin (m Now we c...
(1 point) Solve the wave equation with fixed endpoints and the given initial displacement and velocity. a2 ,0<x<L, t > 0 a(0. t) = 0, u(L, t) = 0, t > 0 Ou Ot ηπα t) + B,, sin (m Now we can solve the PDE using the series solution u(r,t)-> An C computed many times: An example: t) ) sin (-1 ). The coefficients .An and i, are Fourier coefficients we have , cos n-1 sin(n pix/ L) dr...
(d) A standing wave is described by equation of the form an t+) y Ysin(kx)sin( The wave has a frequency of 11.5 Hz and...
(d) A standing wave is described by equation of the form an t+) y Ysin(kx)sin( The wave has a frequency of 11.5 Hz and a wavelength of 1.30 m. At t = 0 the displacement at the antinodes is given by y = Y= 0.125 m. What is the displacement at A/8 when t = 30.0 ms? the point x
(d) A standing wave is described by equation of the form an t+) y Ysin(kx)sin( The wave has a frequency...
Let's consider a function described in terms of its displacement y(x,t) at t 0 by: where a, b and e are positive constants a) Write an expression for this wave profile, having a speed in the nega...
Let's consider a function described in terms of its displacement y(x,t) at t 0 by: where a, b and e are positive constants a) Write an expression for this wave profile, having a speed in the negative x-direction, as a function of position and time (b) Sketch the profile of the wave at t-0 s and t 2 s if v1 m/s (c) Determine if the following functions describe a travelling wave: (i) vr,t) (ar+ bt c), where a, b...
Does the superposition (x, t) Asin (kx-wt) + 2A sin(kx + ω) generate a standing wave?...
Does the superposition (x, t) Asin (kx-wt) + 2A sin(kx + ω) generate a standing wave? Answer this question by using trigonometric identities to combine the two terms. 7.
Which of the following is/are solution to the wave equation, 1. ei(kx-wt) a. b. (cos kx)...
Which of the following is/are solution to the wave equation, 1. ei(kx-wt) a. b. (cos kx) (sin ot) sin et C. e sin (kx - t) d. e COs t e. e 2. A building made with a steel structure is 650 m high on a winter day when the temperature is 0° F. How much taller (in cm) is the building when it is 100° F? (The linear expansion coefficient of steel is 11 x 10 (C) ) A...
If y(x, t) = (5.4 mm)sin(kx + (575 rad/s)t + ϕ) describes a wave traveling along...
If y(x, t) = (5.4 mm)sin(kx
+ (575 rad/s)t + ϕ) describes a wave traveling
along a string, how much time does any given point on the string
take to move between displacements y = +2.0 mm and
y = −2.0 mm?
If y(x, t) = (5.4 mm)sin(kx + (575 rad/s)t + φ) describes a wave traveling along a string, how much time does any given point on the string take to move between displacements y = +2.0 mm and...
1. Assume that the light of electric field B(x,t) Eo sin(kx - at) coming from the single slit can be divided into N identical waves with electric fields of the form E (x,t) E sin(kx - wt), E2(x, t) B sin (kx- c 2) E(x,t) = wt + - and the phase difference between the first and the Nth E sin kx- wt + waves is . The amplitudes of the electric fields have a relation Eo NE Assume that...
A free proton has a wave function Psi (x) = A sin (kx), where k = 1.2 times 10^10 m^-1 What is the proton's lambda? What is the proton's momentum? What is the proton's speed? Normalize Psi (x) if the wave only exists inside an infinite square well with width a = 2.1 m, (so that Psi (x) = A sin (kx) between 0 < x < a and Psi (x) = 0 otherwise).
An electron in freespace is described by a plane wave given by Ч (x, t)-A&(kx-at) where k 1.5 x 10 m1 and w 1.5 x 1013 rad/s. Calculate: a. Wavelength and momentum of the wave (10 points) b. Total energy and its kinetic energy (in eV) (10 points) 2.
7. (Problem 7.1) A string is oscillating with the wave function y(x,t) A sin(kx-wt) with A-3 cm, k=0.2π rad/cm, and ω = 10π rad/cm. For both t = 0.05s and 0.07s sketch the string for 0 s xS 10 cm
(1 point) Solve the wave equation with fixed endpoints and the given initial displacement and velocity. a2 ,0<x<L, t > 0 a(0. t) = 0, u(L, t) = 0, t > 0 Ou Ot ηπα t) + B,, sin (m Now we can solve the PDE using the series solution u(r,t)-> An C computed many times: An example: t) ) sin (-1 ). The coefficients .An and i, are Fourier coefficients we have , cos n-1 sin(n pix/ L) dr...
(d) A standing wave is described by equation of the form an t+) y Ysin(kx)sin( The wave has a frequency of 11.5 Hz and a wavelength of 1.30 m. At t = 0 the displacement at the antinodes is given by y = Y= 0.125 m. What is the displacement at A/8 when t = 30.0 ms? the point x
(d) A standing wave is described by equation of the form an t+) y Ysin(kx)sin( The wave has a frequency...
Let's consider a function described in terms of its displacement y(x,t) at t 0 by: where a, b and e are positive constants a) Write an expression for this wave profile, having a speed in the negative x-direction, as a function of position and time (b) Sketch the profile of the wave at t-0 s and t 2 s if v1 m/s (c) Determine if the following functions describe a travelling wave: (i) vr,t) (ar+ bt c), where a, b...
Does the superposition (x, t) Asin (kx-wt) + 2A sin(kx + ω) generate a standing wave? Answer this question by using trigonometric identities to combine the two terms. 7.
Which of the following is/are solution to the wave equation, 1. ei(kx-wt) a. b. (cos kx) (sin ot) sin et C. e sin (kx - t) d. e COs t e. e 2. A building made with a steel structure is 650 m high on a winter day when the temperature is 0° F. How much taller (in cm) is the building when it is 100° F? (The linear expansion coefficient of steel is 11 x 10 (C) ) A...
If y(x, t) = (5.4 mm)sin(kx
+ (575 rad/s)t + ϕ) describes a wave traveling
along a string, how much time does any given point on the string
take to move between displacements y = +2.0 mm and
y = −2.0 mm?
If y(x, t) = (5.4 mm)sin(kx + (575 rad/s)t + φ) describes a wave traveling along a string, how much time does any given point on the string take to move between displacements y = +2.0 mm and...
Most questions answered within 3 hours.
-
What specific indicators can point to lack of progress for
African Americans in American society?
asked 15 minutes ago -
1-The Electrons in a beam are moving at 2.7×108 m/s in an
electric field of 15000...
asked 31 minutes ago -
A gas tank is a vertical cylinder. It has a radius of 1m, a
height of...
asked 57 minutes ago -
Accent Software faces the following conditions. All of these
support Accent’s use of a market-penetration pricing...
asked 1 hour ago -
A mathematically inclined friend emails you the following
instructions: "Meet me in the cafeteria the first...
asked 1 hour ago -
A monopoly sells in two countries . The demand curves in the two
countries are p1...
asked 2 hours ago -
A .15kg rubber ball is bounced off a wall. Before hitting the
wall, the ball moves...
asked 3 hours ago -
A manufacturing company preparing to build a new plant is
considering three potential locations for it....
asked 3 hours ago -
B. If compound Y has approximately the same values of solubility
in toluene as compound X,...
asked 4 hours ago -
Oscar Inc. has inventory in Japan valued at 39,051,000 Yen one
year ago. One year ago...
asked 4 hours ago -
If Canada suffered from "fundamental disequilibrium," and its
government choose not to devalue its currency, a...
asked 4 hours ago -
4. How many input & output Key Value Pairs are passed into,
and emitted out of...
asked 4 hours ago