1.

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, 2, 3 ), B (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)|`select the correct alternative .A. `vec(E)_(A)botvec(E)_(B)`B. `vec(E)_(A)||vec(E)_(B)``C. `|vec(E)_(B)|=4|vec(E)_(C)|`D. `|vec(E)_(B)|=8|vec(E)_(C)|`

Answer» Correct Answer - C
`bar(E)_(A)` is along `bar(OA)` and `bar(E)_(B)` is along bar(OB)
`bar(OA)=hat(i)_2hat(j)+3hat(k),bar(OB)=hat(i)+hat(j)-hat(k)`
since `vec(OA).vec(OA)=0` so `vec(E)_(A) _|_vec(E)_(B)`
further `|vec(E)|lt (1)/(r^(2))|vec(OC)|=2|vec(OB)|,|vec(E)_(B)|=4|vec(E)_(C)|`


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