Q65 / 90 · JEE Main 2013 (07 Apr) · Physics

Two charges, each equal to q , are kept at x = - a and x  =  a on the x-axis. A particle of mass m and charge q0=-q2  is placed at the origin. If charge q 0 is given a small displacement (y << a) along the y-axis, the net force acting on the particle is proportional to :

  • A
    1 y
  • B
    - 1 y
  • Correct answer
    C
    -y
  • D
    y

Solution

Figure
Figure

⇒ F net = 2Fcos θ

Fnet=2kqq2y2+a22yy2+a2

Fnet=2kqq2yy2+a23/2≈kq2a3y⇒F∝-y

Net force F is opposite the direction of displacement y. Hence, negative sign is used.

Hence, the correct answer is option: 'C'.

Relevant Questions