An clastic wave propagates longitudinally through a crystal in the form of a long, uniform elastic rod, 1- Derive an expression to describe the motion equation of this wave in one dimension. 2- Estimate Young's modulus of this rod if the wave velocity and the mass density are 5x10 cm/sec and 5 gr/cm³ respectively. - If there are about 4.6x105 modes are vibrating within the lattice (length of 10 nm). Calculate the point interval of the modes at a wavelength that varies from 533 to 750 nm.
An clastic wave propagates longitudinally through a crystal in the form of a long, uniform elastic rod, 1- Derive an expression to describe the motion equation of this wave in one dimension. 2- Estimate Young's modulus of this rod if the wave velocity and the mass density are 5x10 cm/sec and 5 gr/cm³ respectively. - If there are about 4.6x105 modes are vibrating within the lattice (length of 10 nm). Calculate the point interval of the modes at a wavelength that varies from 533 to 750 nm.
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Transcribed Image Text:An elastic wave propagates longitudinally through a crystal in the form of a long, uniform
elastic rod,
1- Derive an expression to describe the motion equation of this wave in one dimension.
2- Estimate Young's modulus of this rod if the wave velocity and the mass density are
5x10 cm/sec and 5 gm/cm³ respectively.
3- If there are about 4.6x105 modes are vibrating within the lattice (length of 10 nm).
Calculate the point interval of the modes at a wavelength that varies from 533 to 750 nm.
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