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Question1
Two identical spin-1/2 particles are confined within a cubical box with sides d=10^-8 cm in length. A short range attraction potential of strength V0=10^-3 ev exists between the pair of particles-e.g. acting when the distance between the particles is less than a=10^-10 cm. Using perturbation theory, compute the ground state energy and wavefunction.Take the mass of the particles to be the electron mass.
Question2
Rod, A which is 30 cm long, expands by 0.045 cm when heated from 0oC to 100oC. Rod B, also 30 cm long expands by 0.075 cm for similar change in temperature. A third Rod C, also 30 cm long is made up of the materials of rod A and B, associated end to end. It expands by 0.065 cm when heated from 0oC to 100oC. Compute initial lengths of rods A and B in rod C.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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