A particle of charge q and mass m starts...

A particle of charge q and mass m starts moving from the origin under the action of an electric field `vec E = E_0 hat i and vec B = B_0 hat i` with a velocity `vec v = v_0 hat j`. The speed of the particle will become `2v_0` after a time.

`t=(2mv_(0))/(qE)`

`t=(2Bq)/(mv_(0))`

`t=(sqrt(3)Bq)/(mv_(0))`

`t=(sqrt(3)mv_(0))/(qE)`

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