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JEE Advanced 2017 Paper 1

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A charged particle (electron or proton) is introduced at the origin (x=0,y=0,z=0) with a given initial velocity
→
v
 A uniform electric field
→
E
 and a uniform magnetic field
→
B
 exist everywhere. The velocity
→
v
, electric field
→
E
 and magnetic field
→
B
 are given in columns 1, 2 and 3, respectively. The quantities E0,B0 are positive magnitude
Colum 1Column - 2Column - 3
(I) Electron with
→
v
=2
E0
B0
∧
x
(i)
→
E
=E)‌
∧
z
(P)
→
B
=−B0
∧
x
(II) Electron with
→
v
=
E0
B0
∧
y
(ii)
→
E
=−E0
∧
y
(Q)
→
B
=B0
∧
x
(III) Proton with
→
v
=0		(iii)
→
E
=−E0
∧
x
(R)
→
B
=B0
∧
y
(IV) Proton with
→
v
=2
E0
B0
∧
x
(iv)
→
E
=E0
∧
x
(S)
→
B
=B0
∧
z
Section: Physics
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Question : 15 of 54
 
Marks: +1, -0
In which case will the particle describe a helical path with axis along the positive z direction?
[JEE Adv 2017 P1]
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