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1) A particle of mass, m, trapped in a 1-d box of length, L,has energies with: En = (h^2 pi^2/ 2mL2) x n^2
a. What is theground state energy if the length of the box is 10-10 m(roughly the size of a hydrogen atom) and the particle in questionis an electron? Express your answer in eV. You should find that theenergy is of the same order (a factor of a few) the energy of aHydrogen atom. This is not a coincidence.
b. What is the firstexcited state of this system?
c. What is the wavelengthcorresponding to the "Lyman-Alpha" transition of thissystem?
d. What type of radiation is this?
A rocket is fired at a speed of 75.0 m/s from ground level, at an angle of 67.2° above the horizontal. The rocket is fired toward an 11.0 m high wall, By how much does the rocket clear the top of the wall
A woman on a bridge 104 m high sees a raft floating at a constant speed on the river below, She drops a stone from rest in an attempt to hit the raft, Find the speed of the raft
An LC circuit has a 9.00 m/H inductor. The current has its maximum value of 0.550 A at t= 0s . A short time later the capacitor reaches its maximum potential difference of 62.0 V. What is the value of the capacitance?
A 7.3 m diameter solid sphere can be rotated about an axis through its center by a torque of 10.8 m*N which accelerates it uniformly from rest through a total of 150 revolutions in 16.0s
It is fairly easy to strip the two electrons off a helium atom, leaving a bare nucleus of two neutrons and two protons. What is the necessary voltage difference
Two particles, with charges of q1 = 60.0nC and q2 = 60.0nC, are placed at the points with coordinates (0, 12.00 cm) and (0, 12.00 cm). A particle with charge q3 = 30.0 nC is located at the origin.(a) Find the electric potential energy of the confi..
The primary of a step-down transformer has 240 turns and is connected to a 120 V rms line. The secondary is to supply 29 A at 10 V. (a) Find the current in the primary. (b) Find the number of turns in the secondary, assuming 100% efficiency.
A watertight car is submerged under water. What force is required to open a door of area 1.25 m2 if the average depth of water at the door is 1.92 m
Two metal balls A and B of negligible radius, connected by a taut nonconducting thread of length 1.30 m, are floating at rest on Space Station Freedom between two metal bulkheads.
The entire string is 2.00m long and has a mass of 400-g. The vibrating section of the string is 1.90m long. What tension is needed to tune this string properly.
A battery supplies 0.77 A to three resistors connected in parallel. What is the exact current (in A) through the third resistor
Speedy Sue, driving at 33.0 m/s, enters a one-lane tunnel. She then observes a slow-moving van 175 m ahead traveling with velocity 5.10 m/s. Sue applies her brakes but could accelerate only at -2.00 m/s2 because the road is wet. Will there be a co..
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