Before entering a mass spectrometer, a beam of singly charged ions are filtered by a velocity selector with crossed electric and magnetic fields of E=69 V/m and B=95 mT, respectively, such that v, E and B are mutually perpendicular to one another. The ions entering the slit are forced to move in a semi-circular path due to the presence of a uniform magnetic field Bo=40 T perpendicular to the plane of the ion trajectory, and produce a spot a distance D=50 cm from the entrance slit, on a sensitive plate. Calculate the mass (in au, atomic unit) of an ion in the beam. Electronic charge -19 e=1.6x10 C, 1 au=1.67x1027 kg.

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Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.