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Consider a sphere of radius R which carr...

Consider a sphere of radius R which carries a uniform charge density `rho`. If a sphere of radius `R/2` is carved out of it,as shown, the ratio `(vecE_(A))/(vecE_(B))` of magnitude of electric field `vecE_(a)` and `vecE_(B)`, respectively, at points A and B due to the remaining portion is:

A

Option1 `21/34`

B

Option2 `17/34`

C

Option3 `18/34`

D

Option4 `18/54`

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