The figure gives the electric potential V as a function of distance through four regions , on x-axis. Which of the following is true for the magnitude of the electric field E in these regions?

Options

A. `E_(B) = E_(D)` and `E_(A) lt E_(C)`
B. `E_(A) gt E_(B) gt E_(C) gt E_(D)`
C. `E_(A) lt E_(B) lt E_(C) lt E_(D)`
D. `E_(A) = E_(C)` and `E_(B) lt E_(D)`

Answer

D

Explanation

(d): E = `-(dV)/(dx)` = slope of the curve
In region A and C slope is zero. So, `E_(A) = E_(C)` = 0
In region B, `E_(B) = - |(dV)/(dx)|""(D) = - (4-2)/(2-1) = -2`
In region D, `E(D) = - (dV)/(dx)|""(D) = (4-0)/(4-5) = 4`
`:. E(B) lt E_(D)`