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Side rail of length 2L are fixed on a ho...

Side rail of length `2L` are fixed on a horizontalplane at a distane l from each other These ends aer connected by two identical ideal batteries with emf `E` by sistancelesss wires (see) On therails is a rod of mass m, which may slide along them The entire system is placed in a uniform vertical magnetic field `B` Assuming that the resistance of the rodi is `R` and the resistance per unit length of each of therails equal to p find the period of small oscillations (in sec) arsing from shifting therod from the equlibrium along the rails Neglect friction internal resistance of batteries and induced emf in the rod `[Take : B = pi T, varepsilon = pi volt l = 0.5, L =1m,p = 1Omega//m,R =0.25Omega m = 100 gm]` .

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