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A proton of charge e and mass m enters a...

A proton of charge `e` and mass `m` enters a uniform magnetic field `B = Bi` with an initial velocity `v=v_xhati+v_yhatj`. Find an expression in unit vector notation for its velocity at time `t`.

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The correct Answer is:
`[vec(v)=v_(x)hat(i)+v_(y)cos omega hat(j)-v_(y)sin omega t hat(k), Here omega=(Be)/(m)]`
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