Two circular rings A and B each of radius a = 30 cm are placed coaxially with their axis horizontal in a uniform electric field `E = 10^(5) NC^(-1)` directed vertically upward as shown in figure. Distance between centers of the rings A and B `(C_A and C_B)is 40 cm`. Ring A has positive charge `q_A = 10muC` and B has a negative charge `q_B = -20muC`. A particle of mass m and charge `q = 10muC` is released from rest at the center of ring A. If particle moves along `C_AC_B,` then

Speed of particle when it reaches at center of B is

Options

A. `6sqrt2 m//s`
B. `12sqrt2m//s`
C. `2sqrt6 m//s`
D. `4sqrt6m//s`

Answer

A

Explanation

`W=q(V_(2)-V_(1))=9xx10^(-2)[((10)/(0.3)-(20)/(05))-((10)/(0.5)-(20)/(0.3))]`
`=3.6J`
Since only conservative forces act on the system, potential energy changes to kinetic energy.
`3.6=(1)/(2)mv^(2)` or `v^(2)=72` or `v=6sqrt(2)ms^(-1)`