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A particle of mass m is confined to move in a one-dimensional "infinite" potential well defined by V(x)=0, |x|< or=a, V(x)=infinity otherwise. The energy eigenvalues are E(subscript n)=((n^2)(pi^2)(h-bar^2))/(8m a^2), with n=1,2,3,... and the orthonormal eigenfunctions are the even and odd functionspsi(subscript n)=[1/(sqrt a)]cos(n pi x/2a) for n=1, 3, 5...[1/(sqrt a)]sin(n pi x/2a) for n=2, 4, 6 ...The potential is modified between -a<x<a to V(x)=epsilon[(pi^2)(h-bar^2)/(8ma^2)]sin((3pi x)/2a) with epsilon<1a) Determine the ground state energy to first-order in epsilon. (Note 2 sin Acos B=sin(A+B)+sin(A-B))
A uniform horizontal beam 5.00 m long and weighing 320 N is attached to a wall by a pin connection tht allows the beam to rotate. How far out on the beam can the person stand without breaking the cable
Coherent light with wavelength 591 passes by two very narrow slits, and the interference pattern is observed on a screen a distance of 3.00 from the slits. The first-order bright fringe is a distance of 4.84 from the center of the central bright f..
A defibrillator is used during a heart attack to restore the heart to its normal beating pattern. How much charge moves during this time
A mass of 5.6 kg slides across a rough table. After sliding a total distance of 7.3 meters, the mass comes to rest. determine the initial velocity of the mass
A steel bridge is built in the summer when its temperature is 35.5oC. What is the length of the bridge on a cold winter day when its temperature is -11.5 oC
a block 20cm wide by 60 cm long balances (symetrically on a similar block which is fixed to the ground. What is the mass of the upper block
Four equal charges, q=4.35C, of mass m 4.35kg are at the corner of a square of side L=0.0237m. If an equivalent charge of the same mass is placed at the origin, what is its speed at any time after it is released
What is the speed of the two carts at the moment while their speeds are equal.
A spherical metallic Christmas tree ornament has a diameter of 6.41 cm. If Saint Nicholas is by the fireplace, 1.37 m away, where will he see his reflection in the ornament
The crew of a rocket that is moving away from the earth launches an escape pod, which they measure to be 55 m long. What is the length of the escape pod as determined by an observer on earth
A 2,000 m wide river has a current of vector(v) = 2 i m/s. A boat which has a maximum speed of 5m/s with respect to the river, What is the velocity of the boat with respect to the bank
two negative electric charges each with a charge of 8.1 x 10-5 coulombs are fixed at a distance of 1.0 meters from
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