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Assume that the proton behaves as a uniformly-charged sphere of radius R=10^(-15) m. Calculate the shift this produces in the ground-state energy of hydrogen.
A system is in an eigenstate | psi_i > with energy E_i. The perturbation V(t) = H'exp(-((alpha)^2)(t^2)).
Calculate the impedance (XR) of R = 100 at f = 6 hz, 60 hz, and 600 hz.
Two identical spin-1/2 particles with mass m are in a one-dimensional infinite square-well potential with width a, so V(x)=0 for 0 <= x <= a.
A 70 kg ancient statue lies at the bottom of the sea (fresh water). Its volume is 3.0*10^4 (cm)^3.
You should assume g = 9.8 m.s-2 and give your answer to an appropriate number of significant figures and in the correct SI units.
It has a head-on collision with a 0.303 kg glider that is moving to the left with a speed of 2.25 m/s .
Suppose you place a speaker in front the open end of a tube which is closed at the other end, and vary the frequency of a pure sound (sine wave)
The band gap of pure GaP is 2.25 eV. Calculate the molar fraction of GaP required to produce the 1.78 eV band gap.
What about two copper wires with different grain sizes, work hardening histories or levels of impurities? Explain.
Using ?= 2L/n-1 plot a graph of frequency of standing wave, f, versus the inverse of the wavelength, IA, for the first value of hanging mass.
The spring is released, shooting the mass forward from A to B (frictionless). The mass then travels along a flat surface from B to C (L=20m).
A curve in a stretch of highway has radius R. The road is unbanked. The coefficient of static friction between the tires and road is µs.
The suspended 8 kg slender bar is subjected to a horizontal impulsive force at B. The average value of the force is 1,000 N, and its duration is 0.03 s.
All modern elevators feature safety mechanisms. For example, if an elevator cable breaks, the falling elevator car will land on a set of giant springs.
Show that , if a driven oscillator is only lightly damped and driven near resonance, the Q of the system is:
Given a Nanowire with cross sectional dimensions of 10 nm x 10 nm, what momentum would an electron in the ground state need in order to possess the same energy.
Imagine an electron trapped in a well that has walls that are 5nm thick and 10eV high and is 10nm wide.
A violin string has a length of 0.350 m and is tuned to concert A, with frequency of A = 440 Hz. Where must the violinist place her finger to play F sharp
A nucleus of helium with mass 5 amu breaks up from rest into a nucleus of ordinary helium (mass = 4 amu) plus a neutron (mass = 1 amu).
A 2 kg block is attached to a spring and placed on a horizontal smooth surface. A horizontal force of 20 N is required to hold the block at rest
A cylinder is close at both ends and has insulating walls. It is divided into two compartments by a perfectly insulating partition.
An archer pulls his bow string back 0.4 m by exerting a force on the string that increases uniformly from zero to 230 N. What is the equivalent force constant
Assume that the outer ear canal is a cylincrical pipe 3 cm long, closed at one end by the eardum. Calculate the resonant frequency (fundamental, v1)
A spring with a force constant of 5.3 N/m has a relaxed length of 2.49 m. When a mass is attached to the end of the spring and allowed.