A point charge `q` is placed at orign Let ` vec E_A, vec E_B ` and `vec E_C ` be the electric field at theree points ` (A) ( 1,23, ), B (A, 1,1-1)` and ` C( 2,2,2) ` due to charge (q). Then-
[i] ` vec E_A _|_ vec E_B` [ii] `|vec E_B |=4|vecE_(c)|`selsect the correct alternative .

Options

A. only [i] is correct
B. only [ii] is correct
C. bothe [i] is corrct
D. both [i] and [iii] are wrong

Answer

C

Explanation

` vec E_A = (Kq)/(14) . ( hat I + 2 hat j + 3 hat k)/( sqrt (14) rArr vec E_A = (Kq)/(14)) . Ohat A`
` vec E_B = (Kq)/3 ( hat I + hat j - hat k)/(sqrt 14) rArr vec E_A = (Kq)/ 3 . O hat B`
` vec E_C = (Kq) /(12) ( 2 hat I + 2 hat j + 2 hat k)/(sqrt 12) rArr vec E_(C) = (Kq)/(12). O hat C`
since ` hat E_A. vec E_B = 0` so ` vec E_a _|_ vec E_A and |vec E_B | = vec E_C|`.