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- Give the frequency and amplitude of the sine waves for image a and image bNoneConsider an omnidirectional mobile robot with a ring of nine ultrasonic sensors (each with an opening angle of 40o) that are fired sequentially. Calculate the maximum length of time required for a complete 360o scan if the furthest object of interest is 6m away at any given time. Give your answer in seconds, to 3 decimal places. Assume the speed of sound in air is 343 m/s.
- A one- dimensional linear atomic chain contains two types of atoms of masses m1 and m2 (where m2 > m1), arranged alternately. The distance between successive atoms is the same. Assume that the harmonic approximation is valid. At the first Brillouin zone boundary, which statement is correct? (2 marks) Select one: O A. The atoms of mass m1 are at the rest in the optical mode, while they vibrate in the acoustical mode O B. Both types of atoms vibrate with equal amplitudes in the optical as well as acoustical mode O C. The atoms with mass m2 are at rest in the optical mode, while they vibrate in the acoustical mode D. Both types of atoms vibrate, but with unequal, non-zero amplitudes in the optical as well as acoustical modeA step-index fiber of radius a = 20 μm and refractive indices ?1 = 1.47 and?2 = 1.46 operates at ?0 = 1.55 μm . Using the quasi-plane wave theory andconsidering only guided modes with azimuthal index l = 1:(a) Determine the smallest and largest propagation constants.(b) For the mode with the smallest propagation constant, determine the radii of the cylindrical shell within which the wave is confined, and the components of the wavevector k at r = 5 μm.design an ordinary end fire uniform linear array with only one maximum so that its directivity is 20 dB (above isotropic). The spacing between the elements is lambda/4 and its lenth is much greather than the spacing. Determine the (a) the number of elements (b) overall length of the array (in wavelengths) (c) approximate half-power beamwidth(in degrees) (d)amplitude level (compared to the maximum of the major lobe) of the first minor lobe (in dB) (e) progressive phase shift between the elements (in degrees)
- The following system given by input signal x (t) and output signal y (t) is_ y (t) = ²x(T)dr nonlinear and time varying linear and time varying nonlinear and time invariant linear and time invariantFind the transmission and reflection co-efficient for the following: Given E > U(0) Psi(x) = (e^ikx + re^-ikx) For x<0 = (te^iux) For x > 0