A proton (mass $m$ and charge $+e$) and an $\alpha  -$ particle (mass $4m$ and charge $+2e$) are projected with the same kinetic energy at right angles to the uniform magnetic field. Which one of the following statements will be true

  • A

    The $\alpha  -$ particle will be bent in a circular path with a small radius that for the proton

  • B

    The radius of the path of the $\alpha  -$ particle will be greater than that of the proton

  • C

    The $\alpha  -$ particle and the proton will be bent in a circular path with the same radius

  • D

    The $\alpha  -$ particle and the proton will go through the field in a straight line

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An electron is allowed to move with constant velocity along the axis of current carrying straight solenoid.

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$B.$ The electron will not experience magnetic force.

$C.$ The electron will continue to move along the axis of the solenoid.

$D.$ The electron will be accelerated along the axis of the solenoid.

$E.$ The electron will follow parabolic path-inside the solenoid.

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$(1)$ $\vec B$ should be perpendicular to the direction of velocity and $\vec E$ should be along the direction of velocity
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