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Problem 3 (10 pts) The wavefunction of a particle in an infinite potential well, of width...
1) A particle in an infinite well (U = 0, when 0 state (n-1) with an...
1) A particle in an infinite well (U = 0, when 0 state (n-1) with an energy of 1.26 eV. How much energy must be added to the particle to reach the second excited state? How about the third excited state? (10 pts) x L: U-φ, when x < 0 or x > L) is in the ground
Problem 6. (10 pts) Write down the following in the form of x(t) = A cos(2t...
Problem 6. (10 pts) Write down the following in the form of x(t) = A cos(2t + o), where A> 0 x(t) = sin(2t + 7) + cos2t
calculus 3 8. The position of a particle moving in a circular path is given by...
calculus 3
8. The position of a particle moving in a circular path is given by r(t) =< -4 sin(3t), 4 cos(3t) >. Find the speed v of the particle at any time t.
Show that the semi-infinite plate problem if the bottom edge of width 30 is held at...
Show that the semi-infinite plate problem if the bottom edge of width 30 is held at X 0<x. 15 T 130 - 15<x<30 And the other sides are at 0°C Hint: T(x,y) - Ceny/t sin max
3. McIntyre Problem 6.22: A beam of particles is described by the wavefunction SA eipoz/(6 –...
3. McIntyre Problem 6.22: A beam of particles is described by the wavefunction SA eipoz/(6 – [ar]), [2]<b (x) = 10, < >b (a) Normalize the wavefunction. (b) Plot the real and imaginary parts of the wavefunction. (c) Calculate and plot the momentum probability distribution.
Thank you 8. A particle travels with acceleration given by a(t) = 2e-tit 5 cos ti-3...
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8. A particle travels with acceleration given by a(t) = 2e-tit 5 cos ti-3 sin t k When the particle is located at (1,-3,2) at time t-0 and is moving with a velocity given by v(t)-4i-3j 2k Find a. The velocity and b. The displacement of the particle at any time t>0
Please include step-by-step solution. D19. Solve t2x" +3tx -3 x-t', t>0.
Please include step-by-step solution.
D19. Solve t2x" +3tx -3 x-t', t>0.
The inductor current in the circuit shown in Figure is given by i(t)-5 + 11 e-4tA...
The inductor current in the circuit shown in Figure is given by i(t)-5 + 11 e-4tA for t 2 0 Determine v(t) for t > O. 84 Ω 14H 84 Ω D10 A 84 Ω e-4t y for t20 2 Answer: v(t) -
Consider a particle moving in the plane along the curve r(t) = (R cos(wt), R sin(wt)),...
Consider a particle moving in the plane along the curve r(t) = (R cos(wt), R sin(wt)), where tER, for some constants Row >0. (i) (_marks:) Determine the distance the particle travels for t € [T, 47]. (ii) marks) Suppose the plane has a voltage given by V(x, y) = xy +3. Determine the rate of change in voltage the particle experiences at time t.
4. (10 points) A damped wave train is expressed by f(t) = Ae-iwot when t2t> 0;...
4. (10 points) A damped wave train is expressed by f(t) = Ae-iwot when t2t> 0; and f(t) = 0 ortherwise. a) Please find the power spectrum of this light; b) Please plot and discuss the spectrum when to = 5
1) A particle in an infinite well (U = 0, when 0 state (n-1) with an energy of 1.26 eV. How much energy must be added to the particle to reach the second excited state? How about the third excited state? (10 pts) x L: U-φ, when x < 0 or x > L) is in the ground
Problem 6. (10 pts) Write down the following in the form of x(t) = A cos(2t + o), where A> 0 x(t) = sin(2t + 7) + cos2t
calculus 3
8. The position of a particle moving in a circular path is given by r(t) =< -4 sin(3t), 4 cos(3t) >. Find the speed v of the particle at any time t.
Show that the semi-infinite plate problem if the bottom edge of width 30 is held at X 0<x. 15 T 130 - 15<x<30 And the other sides are at 0°C Hint: T(x,y) - Ceny/t sin max
3. McIntyre Problem 6.22: A beam of particles is described by the wavefunction SA eipoz/(6 – [ar]), [2]<b (x) = 10, < >b (a) Normalize the wavefunction. (b) Plot the real and imaginary parts of the wavefunction. (c) Calculate and plot the momentum probability distribution.
Thank you
8. A particle travels with acceleration given by a(t) = 2e-tit 5 cos ti-3 sin t k When the particle is located at (1,-3,2) at time t-0 and is moving with a velocity given by v(t)-4i-3j 2k Find a. The velocity and b. The displacement of the particle at any time t>0
Please include step-by-step solution.
D19. Solve t2x" +3tx -3 x-t', t>0.
The inductor current in the circuit shown in Figure is given by i(t)-5 + 11 e-4tA for t 2 0 Determine v(t) for t > O. 84 Ω 14H 84 Ω D10 A 84 Ω e-4t y for t20 2 Answer: v(t) -
Consider a particle moving in the plane along the curve r(t) = (R cos(wt), R sin(wt)), where tER, for some constants Row >0. (i) (_marks:) Determine the distance the particle travels for t € [T, 47]. (ii) marks) Suppose the plane has a voltage given by V(x, y) = xy +3. Determine the rate of change in voltage the particle experiences at time t.
4. (10 points) A damped wave train is expressed by f(t) = Ae-iwot when t2t> 0; and f(t) = 0 ortherwise. a) Please find the power spectrum of this light; b) Please plot and discuss the spectrum when to = 5
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