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Consider a linear model of a molecule with three atoms. The outer atoms are of mass m and the atom in the molecules center is of mass M. The outer atoms are connected to the center atom through springs of a constant k.
(a) Determine the Lagrange function of the system. Use as coordinates the deviations of the atoms from their equilibrium position.
(b) Determine the Eigen frequencies of the system and corresponding eigenvectors.
(c) Write down the general solution of the equation of motion of the system.
A laser of 750 nm is shown through a grating having 5,000 lines per cm. What is the angle to the first order spots
Calculate : a) the pressure at this depth b) the change in volume of the sphere do to the pressure GIVEN : density of copper = 8.9*10^3 kg/m^3 youngs modulus = 11*10^10 N/m^2
A jet is circling an airport control tower at a distance of 24.5 km. Find the distance traveled (in meters) by the jet as the observer watches the nose of the jet cross from one side of the moon to the other
A bar magnet is oriented with its magnetic dipole moment at 38.5° to the direction of a 0.0145-T magnetic field, Find the magnitude of the magnet\'s magnetic dipole moment
A helicopter, starting from rest, accelerates straight up from the roof of a hospital. The lifting force does work in raising the helicopter. What is the average power generated by the lifting force
A proton and electron moving with the same speed enter the magnetic field of the earth at the same angle, what type of trajectory will each particle follow in the earth's magnetic field
Determine the wavelength of light emitted when a hydrogen atom makes a transition from the n = 13 to the n = 3 energy level according to the Bohr model. The Rydberg constant is 1.09737 × 10^7 m?1 .Answer in units of nm
A flywheel comprises a uniform circular disk with a mass of 101.0 kg and a radius of 1.1 m. It rotates with an angular velocity of 1183 rev/min. what is the tangential force
Coherent microwaves of wavelength 5.00 centimeter enter a tall, narrow window in a building otherwise essentially opaque to the microwaves. find the distance from central maximum to first-order minimum
As a result of the distribution illustrate what is scotts basis in the a/r and land, and explain how much gain or loss does he recognize?
A small glass bead charged to 7.4nC is 4.0cm from a thin, uniformly charged, 10--cm long glass rod. The bead is repelled from the rod with a force of 900*10^-6N . What is the total charge |Q| on the rod
an unknown number of moles of an ideal monoatomic gas expand reversibly from vi 2.50 m3 to vf 3.20 m3 at a constant
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