Phase Velocity versus Group Velocity: Wave Dispersion
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Phase Velocity versus Group Velocity: Wave Dispersion
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- A particle moving in range (-a < x< a) and having a wavefunction : 1 Y(x) = sin (*) c- If you that (x?) = a²-2) and (p?) '3 2n2- calculate Ax and Apx d- Calculate AxAp, and what do you conclude.i need clear ans by hand and solve very very fast in 20 min and thank you | DYBALA 7.22 The speed of propagation of a surface wave in a liquid of depth much greater than λ is given by = V= gλ 2п + 2πΥ βλ where g acceleration of gravity, A = wavelength, p = density. Y surface tension. Compute the group velocity of a pulse in the long wavelength limit (these are called gravity waves).Develop the equation for wave speed on a string. Useresearch if you wish.
- A string of 1 m length clamped at both ends is plucked in the middle to generate a standing wave. Take the frequency of the first harmonic to be 10 Hz and the amplitude of the oscillations to be 2 cm. Consider the motion to be a simple harmonic one where appropriate. Calculate the value of maximum velocity of up and down motion of the string at midpoint. Provide your anwser in m/s.How do phase transitions take place on the microscopic scale?