WB JEE 2023 | Electromagnetic Induction Question 5 | Physics

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?

Induced electric field lines form closed loops.

Electric field varies linearly with r if r < R, where r is the radial distance from the centerline of the cylinder.

The charged particle will move in clockwise direction when viewed from top.

Acceleration of the charged particle is $$\mathrm{\frac{7q}{2m}}$$ when t = 2 sec.

WB JEE 2021

MCQ (More than One Correct Answer)

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WB JEE 2021 Physics - Electromagnetic Induction Question 7 English

A particle of mass m and charge q moving with velocity v enters region-b from region-a along the normal to the boundary as shown in the figure. Region-b has a uniform magnetic field B perpendicular to the plane of the paper. Also, region-b has length L.

Choose the correct statement.

The particle enters region-c only if $$v > {{qLB} \over m}$$.

The particle enters region-c only if $$v < {{qLB} \over m}$$.

Path of the particle is a circle in region-b.

Time spent in region-b is independent of velocity v.

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