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The phonon dispersion for the following one-dimensional diatomic lattice with masses M1 and M2 (as shown in the figure)

is given by

where a is the lattice parameter and K is the spring constant. The velocity of sound is 
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The phonon dispersion for the following one-dimensional diatomic latti...
For small value of q (i.e. long wavelength approximation limit).
We have 

For Acoustical branch: 

Velocity of sound is
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The phonon dispersion for the following one-dimensional diatomic lattice with masses M1 and M2 (as shown in the figure)is given bywhere a is the lattice parameter and K is the spring constant. The velocity of sound isa)b)c)d)Correct answer is option 'B'. Can you explain this answer?
Question Description
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