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Physics (PH) 2010
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Consider an anti-symmetric tensor Pij with the indices i and j running from 1 to 5. The number of independent components of the tensor is
The value of the integral ∮C (e^(z) sin(z) / z2) dz, where the contour C is the unit circle: |z - 2| = 1, is
The eigenvalues of the matrix
are
If f(x) = 0 for x < 3, 1/x - 3 for x ≥ 3, then the Laplace transform of f(x) is
The valence electrons do not directly determine the following property of a metal.
Consider X-ray diffraction from a crystal with a face-centered-cubic (fcc) lattice. The lattice plane for which there is NO diffraction peak is