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space at points L 0 and L 0 Another particle with mass m and charge...

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space at points L 0 and L 0 Another particle with mass m and charge q is placed at the origin Now this particle is displaced by a distance of y along the y axis and then released Show that this particle will execute oscillatory motion Solution BOARDS The only way to prove the particle executes oscillatory motion is to prove that the particle executes SHM because oscillatory motion is a consequence of SHM Now if we are able to prove that the force on the particle of charge q is restoring and is proportional to the displacement then it will be enough to conclude that the charged particle executes SHM Suppose the particle of charge q is displaced along the y axis by a distance of y as shown in the figure F 2F cos 0 net Q L 0 Q L 0 F 9 00 0 y Q q L 0 F Q L 0 X If the force on q by Q is given by F then the net force on the charge q by both the charges is given by

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