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WB JEE 2023
MCQ (More than One Correct Answer)
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A charged particle of charge q and mass m is placed at a distance 2R from the centre of a vertical cylindrical region of radius R where magnetic field varies as $$\vec{B}=\left(4 t^{2}-2 t+6\right) \hat{k}$$, where t is time. Then which of the following statements is/are true?

A
Induced electric field lines form closed loops.
B
Electric field varies linearly with r if r < R, where r is the radial distance from the centerline of the cylinder.
C
The charged particle will move in clockwise direction when viewed from top.
D
Acceleration of the charged particle is $$\mathrm{\frac{7q}{2m}}$$ when t = 2 sec.
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