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Write down the complete hamiltonian of the helium atom in SI units and atomic units. Identify, with an explanation, the term in the hamiltonian which makes it nonseparable. If this term were absent, what would the ground state energy of He be, in the units of your choice? Outline an appropriate way to obtain an approximate solution to the Schrodinger equation for He.
A polystyrene cup contains 0.229 L of water at 20.0 degrees C. A 0.148 kg mass of an unknown material is heated to 51.2 degrees C. The mass is carefully placed in the cup. The cup has a lid placed over it. The system at equilibrium has a temperature ..
According to the definition of work, the work done by an external force in moving a heavy crate along a horizontal surface should be the same whether the force is pulling upward at a 45 degree angle or pushing downward at a 45 degree angle. In practi..
After being accelerated to a speed of 1.62×105m/s , the particle enters a uniform magnetic field of strength 1.00T, Find the ratio m/q for this particle
A tightrope walker who weighs 640 N walks along a steel cable. When he is halfway across, the cable makes an angle of 0.040 rad below the horizontal. What is the cross-sectional area of the cable
A string of length 10.0m has a linear mass density of 25g/m. What is the speed of the pulse as it approaches the top of the string
An electron is a hydrogen atom drops from the n=6 state to the ground state. What is the frequency of the photon that is emitted
Alpha-particle scattering experiments using uranium (Z = 92) as the target material show that the alpha-particles experience a pure Coulomb repulsion, Estimate the radius of the uranium nucleus
A 34.0 kg hammer strikes a steel spike 2.20 cm in diameter while moving with speed of 22.0 m/s. find the average strain in the spike during the impact
A 100g ball on a 50 cm long string is swung in a vertical circle about a point 200 cm above the floor. obtain the tension in the string an instant before it broke
A typical lightbulb in your house is rated 200 W, which means that the bulb dissipates 200 W when connected to a DC voltage of 110 V. (a) What is the current through the lightbulb? (b) If the voltage is reduced to 55 V, what is the dissipated powe..
A soccer ball is kicked with an initial horizontal velocity of 15.0 m/s and an initial vertical velocity of 14.0 m/s. What is the maximum height the ball goes above the ground
An electron traveling with a velocity of 6.0 *105 m/s along the direction enters a uniform magnetic field of 0.60 T pointing in the direction. Calculate the magnitude of the force on the electron
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