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(ii) If the velocity of sound in a solid is 3 x 103 m/s in which the interatomic distance is 3 x 10-10m, determine the value of cut-off frequency assuming a linear lattice.

(ii) If the velocity of sound in a solid is 3 x 103 m/s in which the interatomic distance is 3 x 10-10m, determine the value of cut-off frequency assuming a linear lattice.

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please solve part (ii)
3(a) (i) Find the dispersion relation for a one-dimensional crystal with two types of atoms and discuss the nature of the optical and acoustic modes. (ii) If the velocity of sound in a solid is 3 x 103 m/s in which the interatomic distance is 3 x 10-10m, determine the value of cut-off frequency assuming a linear lattice.
Transcribed Image Text:3(a) (i) Find the dispersion relation for a one-dimensional crystal with two types of atoms and discuss the nature of the optical and acoustic modes. (ii) If the velocity of sound in a solid is 3 x 103 m/s in which the interatomic distance is 3 x 10-10m, determine the value of cut-off frequency assuming a linear lattice.
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