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# Which of the following is correct?motion of the particle is non-periodic but y and z-position co-ordinates vary in a periodic mannermotion of the particle is non-periodic but x and y-position co-ordinates vary in a periodic mannermotion of the particle is non-periodic but x and z-position co-ordinates vary in a periodic mannermotion of the particle is periodic and all the position co-ordinates vary in a periodic manner

A
motion of the particle is non-periodic but x and z-position co-ordinates vary in a periodic manner
B
motion of the particle is non-periodic but y and z-position co-ordinates vary in a periodic manner
C
motion of the particle is periodic and all the position co-ordinates vary in a periodic manner
D
motion of the particle is non-periodic but x and y-position co-ordinates vary in a periodic manner
Solution
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#### The particle follows a helical path. Due to force acting on particle on in x and y direction, it varies periodically in these directions to form helical surfaces. However the motion itself is not periodic because it has a vx component.

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