In a region of space, a uniform magnetic field $B$ exists in the $y-$direction.Aproton is fired from the origin, with its initial velocity $v$ making a small angle $\alpha$ with the $y-$ direction in the $yz$ plane. In the subsequent motion of the proton,
Aits $x-$coordinate can never be positive
Bits $x-$ and $z-$ coordinates cannot both be zero at the same time
Cits $z-$ coordinate can never be negative
Dits $y-$ coordinate will be proportional to the square of its time of flight
Diffcult
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Aits $x-$coordinate can never be positive
a So its $x$ coordinate cannot be positive. Its $x-$ and $z$ $- coordinate$ will be zero when particle will complete one revolution.
$y-$ Coordinate $=v \cos \alpha t$
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