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![Integrate [ (Cos [d] 2 + Sin [d] 2 + 2 Cos [d] + 2 Sin [3 φ]) 2, {φ, o, 2 π}] 10 Integrate[ (Cos [d]2 + Sin [d]2 + 2 Cos [d] + 2 Sin [3d]) (-2 sin [d] +6Cos [3d]), {φ, Ο, 2n] Integrate [ (Cos [d] 2 + Sin [d] 2 + 2 Cos [d] + 2 Sin [3 φ1) , 仲, o, 2 π}] // Fullsimplify 2兀 Integrate [ (Cos [d] 2 + Sin[d] 2 + 2 Cos [d] + 2 Sin[3d]) Exp [2 1 Fullsimplify 仲, 0, 2 π}] // , Integrate[ (Cos [d]2 + Sin [d]2 + 2 Cos [d] + 2 Sin [3d]) Exp [51d], {φ, o, 27)]](http://img.homeworklib.com/questions/ee153070-3c67-11eb-ac0b-c37d4889aadc.png?x-oss-process=image/resize,w_560)
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The state of a quantum mechanical particle, constrained to move on a circle...
Please show details steps and explanation, label each part ,thank you very much! a) b) Consider the normalized state for a quantum mechanical particle of mass μ con- strained to move on a circle of...
Please show details steps and explanation, label each
part ,thank you very much!
a)
b)
Consider the normalized state for a quantum mechanical particle of mass μ con- strained to move on a circle of radius ro, given by: If you measured the z-component of angular momentum to be 3h, what would the state of the particle be immediately after the measurement is made? If you measured the z-component of angular momentum at some time tメ0, what is the probability...
A quantum mechanical particle confined to move in one dimension between x =0 and x -L...
A quantum mechanical particle confined to move in one dimension between x =0 and x -L is found to have a state described by the wavefunction 2T (a) Determine the constanfA such that the wavefunction is normalized./ (b) Using the result of part (a), find the probability that the particle will be found between x 0 and x L/3
A particle is constrained to move in the x - y plane. Its position as a...
A particle is constrained to move in the x - y plane. Its position as a function of time is given by x(t) = x_0 sin(w_xt) and y(t) = y_0 cos(w_yt). Find the force vector F on the particle. Under which condition is the force a central force (i.e., points in the vector r direction)? Find the potential energy for the general force that you found in part (a) (i.e., not necessarily central). Show that the particle's energy is conserved.
2. A rigid rotor is constrained to move about a fixed axis, with respect to which...
2. A rigid rotor is constrained to move about a fixed axis, with respect to which its moment of inertia is I. The time-independent Schrödinger equation for this system is: 21 do where W is the energy, ф is the angular displacement of the rotor from a fixed direction (0 ps 2 ) , and 111(pf dф gives the probability of finding the rotor at an angular position between ф and ф+49 State the general solution of this equation and...
Understand how to find the equation of motion of a particle undergoing uniform circular motion. Consider...
Understand how to find the equation of motion of a particle undergoing uniform circular motion. Consider a particle--the small red block in the figure--that is constrained to move in a circle of radius R. We can specify its position solely by θ(t), the angle that the vector from the origin to the block makes with our chosen reference axis at time t. Following the standard conventions we measure θ(t) in the counterclockwise direction from the positive x axis. (Figure 1)...
1. The quantum states of a particle moving freely in a circle of radius r are...
1. The quantum states of a particle moving freely in a circle of radius r are described by (0) = Cewe where C is a constant, e denotes angle, n = 0, +1, +2,... is an integer identifying the quantum state of the particle, and wn is constant for a given n. a) Show that Un0 satisfies don d02 b) Find wn such that Un (@+ 2) = Un) c) Find the value of such that any two yn (0)...
Please help! :) Discussion #3 1. Consider the motion of an object that can be treated...
Please help! :)
Discussion #3 1. Consider the motion of an object that can be treated as a point particle and is traveling counter-clockwise in a circle of radius R. This motion can (and will for the purposes of these discussion activities) be described and analyzed using a Cartesian (x-y) coordinate system with a spatial origin at the center of the particle's circular trajectory (the physical path its motion traces out in space). (a) Draw a diagram of the position...
A cylinder of radius R has the y axis as its central axis, and therefore appears...
A cylinder of radius R has the y axis as its central axis, and therefore appears as a circle in the diagram below. The cylinder does not move. A massless string of total length b (greater than TR) is attached to the cylinder as shown in the diagram. A point mass m is attached to the lower end of the string. The motion is in the xz plane. The point P is defined so that the string above P is...
need ans for the following questions, the last 3 pages for more info. Questions: more info:...
need ans for the following questions, the last 3 pages for more
info.
Questions:
more info:
expermint e/m avr=1.71033*10^11
7 2 points of the following options, which conditions for V or I produce the largest radius of the electron beam path r? Hint: Use e/m= 2V (5/4)*aP/(Nuo Ir) Maximum land Maximum V O Maximum land Minimum V Minimum I and Maximum V Minimum I and Minimum V 8 2 points By what factor will change if the radius of the...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
Please show details steps and explanation, label each
part ,thank you very much!
a)
b)
Consider the normalized state for a quantum mechanical particle of mass μ con- strained to move on a circle of radius ro, given by: If you measured the z-component of angular momentum to be 3h, what would the state of the particle be immediately after the measurement is made? If you measured the z-component of angular momentum at some time tメ0, what is the probability...
A quantum mechanical particle confined to move in one dimension between x =0 and x -L is found to have a state described by the wavefunction 2T (a) Determine the constanfA such that the wavefunction is normalized./ (b) Using the result of part (a), find the probability that the particle will be found between x 0 and x L/3
A particle is constrained to move in the x - y plane. Its position as a function of time is given by x(t) = x_0 sin(w_xt) and y(t) = y_0 cos(w_yt). Find the force vector F on the particle. Under which condition is the force a central force (i.e., points in the vector r direction)? Find the potential energy for the general force that you found in part (a) (i.e., not necessarily central). Show that the particle's energy is conserved.
2. A rigid rotor is constrained to move about a fixed axis, with respect to which its moment of inertia is I. The time-independent Schrödinger equation for this system is: 21 do where W is the energy, ф is the angular displacement of the rotor from a fixed direction (0 ps 2 ) , and 111(pf dф gives the probability of finding the rotor at an angular position between ф and ф+49 State the general solution of this equation and...
1. The quantum states of a particle moving freely in a circle of radius r are described by (0) = Cewe where C is a constant, e denotes angle, n = 0, +1, +2,... is an integer identifying the quantum state of the particle, and wn is constant for a given n. a) Show that Un0 satisfies don d02 b) Find wn such that Un (@+ 2) = Un) c) Find the value of such that any two yn (0)...
Please help! :)
Discussion #3 1. Consider the motion of an object that can be treated as a point particle and is traveling counter-clockwise in a circle of radius R. This motion can (and will for the purposes of these discussion activities) be described and analyzed using a Cartesian (x-y) coordinate system with a spatial origin at the center of the particle's circular trajectory (the physical path its motion traces out in space). (a) Draw a diagram of the position...
A cylinder of radius R has the y axis as its central axis, and therefore appears as a circle in the diagram below. The cylinder does not move. A massless string of total length b (greater than TR) is attached to the cylinder as shown in the diagram. A point mass m is attached to the lower end of the string. The motion is in the xz plane. The point P is defined so that the string above P is...
need ans for the following questions, the last 3 pages for more
info.
Questions:
more info:
expermint e/m avr=1.71033*10^11
7 2 points of the following options, which conditions for V or I produce the largest radius of the electron beam path r? Hint: Use e/m= 2V (5/4)*aP/(Nuo Ir) Maximum land Maximum V O Maximum land Minimum V Minimum I and Maximum V Minimum I and Minimum V 8 2 points By what factor will change if the radius of the...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
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