In a simple harmonic progressive wave of amplitude 10 cm, the maximum particle velocity is 2 times its wave velocity then wavelength of wire is?
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- (5) The wave function for a particle is given by: (x) = Ae-=/L for r 2 0, where A and L are constants, and L > 0. b(x) = 0 for r < 0. (a) Find the value of the constant A, as a function of L. A useful integral is: fe-K=dx = -ke-K, %3D where K is a constant. (b) What is the probability of finding the particle in the range –10 L < x< -L? (c) What is the probability of finding the particle in the range 0Are these acceptable wavefunctions in the range x = -infinity to infinity? If so, please explain. cos kx x-1/4Q/ Show that the oscillating probability density is linear in arbitrary wave beams that oscillates with a frequency equal to that of a linear oscillator?4. The Euler phasor of a periodic waveform are: 2 (1- e-jmT/2 =16-m² Cm m= 0, +1, +2, ±3, ... (18) The entire average power (Pave) for this signal is found to be 0.125 W/Q. (a) Write out the three partial sum (-1 sms1) of the complex Fourier series of this waveform. (b) Find the percentage of the total power represented by the fourth harmonic in the signal.KPHow many natural frequencies does the desk surface you are writing on theoretically have?500 neutrons freely moving inside box his walls is x=0 and x=L, if the wavefunction of every neutron at time 0 is p(x) = Ax(L + x²) a- find the normalization constant A b- calculate the average of the kinetic energy (T) of each neutron in range 0The periodic function f(x) of period 27 is given by f(x)%3D = {,! 0