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A beam of spin-5 particles with speed vo passes through a series of two SGz devices. The first SGz device transmits particles with S. = h/2 and filters out particles with S, = -h/2. The second SGz device transmits particles with S, = -h/2 and filters out particles with S, = h/2. Between the two devices is a region of length lo in which there is a uniform magnetic field Bo pointing in the x direction. Determine the smallest value of lo such that exactly 25 percent of the particles transmitted by the first SGz device are transmitted by the second device. Express your result in terms of wo = egBo/2mc and vo