Home Maths JEE - Advanced Previous Year Paper JEE-Advanced-2022-Paper-2 A disk of radius R with uniform positive cha…
Maths JEE - Advanced Previous Year Paper JEE-Advanced-2022-Paper-2 Single Correct MCQ
Published on: August 13, 2026

A disk of radius R with uniform positive charge density a is placed on the xy plane with its centre at the origin. The Coulomb potential along the z-axis is

A particle of positive charge q is placed initially at rest at a point on the z axis with z = z 0 and z 0 > 0. In addition to the Coulomb force, the particle experiences a vertical force with c> 0. Let . Which of the following statements(s) is (are) correct?

A
For and , the particle reaches the origin.
B
For and the particle reaches the origin.
C
For and , the particle returns back to z=z 0 .
D
For > 1 and z 0 > 0, the particle always reaches the origin.

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Text Solution

Verified by Experts
The correct answer is:
CHECK THE SOLUTION.

(a,c,d)

(Given)

…(1)

For equilibrium at

c from equation (1)

Z>1.13R: F 2 >F 1 Particle reaches origin

Z<1.13R; F 1 >F 2 Particle reaches back to z=Z 0

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