Chain A and chain B are one-dimensional chains with the same spacing and the same…

PHYSICS · Subjective · Fermi University Physics · Condensed Matter, Materials & Soft Matter · Lattice dynamics and thermal properties of solids · Lattice dynamics and thermal properties of solids

Condensed Matter Physics, Ch Elastic waves and the vibrating chain

Problem

Chain A and chain B are one-dimensional chains with the same spacing

a

and the same bond stiffness

K

, but each atom of chain B has four times the mass of an atom of chain A. Find the ratio

v_{s,A}:v_{s,B}

of their speeds of sound.

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