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i) List the symmetries in an ethene (C2H4) molecule. ii) Draw the (111) and (101) planes for a cubic unit cell. iii) What are the advantages of the neutron diffraction method? iv) Calculate the probability for an electron to be found at an energy of (EF + 2kBT) in a metal. v) Explain how a linear monoatomic chain behaves as a low pass filter. vi) Explain with the help of a diagram the difference between a ferromagnet, an antiferromagnet and a ferrite. vii) How does the Fermi energy of n- and p- type semiconductors change with dopant concentration? viii) Is x-ray diffraction observed from the (111) and (211) planes in an fcc structure? Explain. ix) Distinguish between Type I and Type II superconductors. x) What is the function of the quartz crystal used in a digital watch?
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