1 (a) . Show that the zero-point energy of a Debye solid composed of N atoms...

1 (a) . Show that the zero-point energy of a Debye solid composed of N atoms is equal to 9/8NkΘD. This implies, for each vibrational mode of the solid, a mean zero-point energy 3/8 kΘD, that is, = 3/4 ωD.

(b)Show that, for T < θd,="" the="" quantity="">P − CV) of a Debye solid varies as T7 and hence the ratio (CP/CV) 1

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