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JEE Advanced 2017 Paper 1

Paragraph for next 3 questions

A charged particle (electron or proton) is introduced at the origin

(x=0,y=0,z=0)

with a given initial velocity

\vec{v}

A uniform electric field

\vec{E}

and a uniform magnetic field

\vec{B}

exist everywhere. The velocity

\vec{v},

electric field

\vec{E}

and magnetic field

\vec{B}

are given in columns 1, 2 and 3, respectively. The quantities

E_0,B_0

are positive magnitude

Colum 1	Column - 2	Column - 3
(I) Electron with $\vec{v}=\frac{2E_0}{\hat{B_0x}}$	(i) $\vec{E}=E_)\hat{z}$	(P) $\vec{B}=-\hat{B_0x}$
(II) Electron with $\vec{v}=\frac{E_0}{\hat{B_0y}}$	(ii) $\vec{E}=-\hat{E_0y}$	(Q) $\vec{B}=\hat{B_0x}$
(III) Proton with $\vec{v}=0$	(iii) $\vec{E}=-\hat{E_0x}$	(R) $\vec{B}=\hat{B_0y}$
(IV) Proton with $\vec{v}=\frac{2E_0}{\hat{B_0x}}$	(iv) $\vec{E}=\hat{E_0x}$	(S) $\vec{B}=\hat{B_0z}$

Section: Physics

Question : 15 of 54

Marks: +1, -0

Solution:

\overline{V}=\frac{2E_0}{\hat{B_{0x}}};\overline{E}=\hat{E_{0z}};\overline{B}=\hat{B_{0z}}

(Proton)

F_B=

along

-y

axis

F_E=

along

+z

axis

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