Question
In: Physics
A traveling wave along the x-axis is given by the following wave function ψ(x, t) =...
A traveling wave along the x-axis is given by the following wave function ψ(x, t) = 4.5 cos(2.1x - 11.8t + 0.52),where x in meter, t in seconds, and ψ in meters. Find
a) the frequency, in hertz
b)The wavelength in meters.
c) The wave speed, in meters per second.
d) The phase constant in radians.
Solutions
genius_generous answered 8 months agoRelated Solutions
The wave function for a traveling wave on a taut string is (in SI units) y(x,t)...
The wave function for a traveling wave on a taut string is (in SI
units)
y(x,t) = 0.375 sin (14pt - 2px + p/4)
(a) What are the speed and direction of travel of the wave?
speed _____ m/s
direction_________
(positive x-direction, positive y-direction, positive z-direction,
negative x-direction, negative y-direction, negative
z-direction)
(b) What is the vertical position of an element of the string at t
= 0, x = 0.178 m?
________m
(c) What is the wavelength of the...
The position of a particle moving along the x-axis is given by x(t) = t^3 +...
The position of a particle moving along the x-axis is given by
x(t) = t^3 + 9t^2 − 21t with t is in [0, 2]. (a) Find the velocity
and acceleration of the particle.
(b) For what t-values is the velocity 0? (Enter your answers as
a comma-separated list.)
(c) When is the particle moving to the left (velocity is
negative)? (Enter your answer using interval notation.)
When is the particle moving to the right (velocity is positive)?
(Enter your...
Asume the wave function Ψ(x) = A/(x²+a²) whith x real, A and a constants a) find...
Asume the wave function Ψ(x) = A/(x²+a²) whith x real,
A and a constants
a) find the normalized wave function Φ(p) un the
momentum space associated to Ψ(x)
b) use Φ(p) yo compute the expected values for p, p²,
and σ_p
c) verify if this state fulfills the Heisenberg
uncertainty principle
A wave in a string has a wave function given by: y (x, t) = (0.0300m)...
A wave in a string has a wave function given by: y (x, t) =
(0.0300m) sin [(5.35 m^-1) x + (1.63 s^-1) t]
where t is expressed in seconds and x in meters.
Determine:
a) the amplitude of the wave
b) the frequency of the wave
c) wavelength of the wave
d) the speed of the wave
A particle is described by the wave function ψ(x) = b(a2 - x2) for -a ≤...
A particle is described by the wave function ψ(x) =
b(a2 - x2) for -a ≤ x ≤ a and ψ(x)=0 for x ≤
-a and x ≥ a, where a and b are positive real
constants.
(a) Using the normalization condition, find b in terms of
a.
(b) What is the probability to find the particle at x =
0.21a in a small interval of width 0.01a?
(c) What is the probability for the particle to be found between x...
A particle is described by the wave function ψ(x) = b(a2 - x2) for -a ≤...
A particle is described by the wave function ψ(x) = b(a2 - x2)
for -a ≤ x ≤ a and ψ(x)=0 for x ≤ -a and x ≥ a , where a and b are
positive real constants.
(a) Using the normalization condition, find b in terms of a.
(b) What is the probability to find the particle at x = 0.33a in
a small interval of width 0.01a?
(c) What is the probability for the particle to be found...
Consider the wave function Ψ = Ae−α|x| Which of the following boundary conditions are satisfied by...
Consider the wave function
Ψ = Ae−α|x|
Which of the following boundary conditions are satisfied by the
wave function?
Group of answer choices
Ψ approaches zero as x approaches ±∞
Ψ is single valued.
Ψ is finite everywhere.
None of the boundary conditions are satisfied.
The vertical displacement y (x,t) of a horizontal string aligned along the x-axis is given by...
The vertical displacement y (x,t) of a horizontal string aligned
along the x-axis is given by the equation y (x,t) =(5.25 mm) cos
[(4.70 m -1) x (14.1 s -1) t]. What are the (a) speed, (b) period,
and (c) wavelength of this wave?
A plane electromagnetic wave traveling in the positive direction of an x axis in vacuum has...
A plane electromagnetic wave traveling in the positive direction
of an x axis in vacuum has components Ex = Ey = 0 and Ez = (3.1
V/m) cos[(? × 1015 s-1)(t - x/c)].(a) What is the amplitude of the
magnetic field component? (b) Parallel to which axis does the
magnetic field oscillate? (c) When the electric field component is
in the positive direction of the z axis at a certain point P, what
is the direction of the magnetic field...
A plane electromagnetic wave traveling in the positive direction of an x axis in vacuum has...
A plane electromagnetic wave traveling in the positive direction
of an x axis in vacuum has components Ex =Ey =0 and Ez
=(2V/m)cos(3.14∗10^−15s^−1(t− x/c)). (a) What is the amplitude of
the magnetic field component? (b) Parallel to which axis does the
magnetic field oscillate? (c) When the electric field component is
in the positive direction of the z axis at a certain point P, what
is the direction of the magnetic field component there?
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