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A charged particle of charge e and mass m is moving in an electric field vecE and magnetic field vecB. Construct dimensionless quantities and quantities of dimension [T]^(-1).

Answer»

SOLUTION :When electron enter in perpendicular magnetic field than magnetic force balance with CENTRIPETAL force,
`(mv^(2))/R=qvB`
`therefore(qB)/m=v/R=omega`
`thereforeomega=v/R=(M^(0)L^(1)T^(-1))/L^(1)=T^(-1)`
Thus, ANGULAR frequency having dimension equal to `T^(-1)`.


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