1.

Eight point charge of charge `q` each are placed on the eight corners of a cube of side a. A solid neutral metallic sphere of radius ` a//3` is placed with its centre at the centre of the cube . As a result charges are induced on the sphere , which form certain pattern on its surface . What is the potential at the center of the sphere .A. `8/sqrt(3) (kq)/a`B. `16/(sqrt3) (kq)/a`C. `(-8)/sqrt(3) (kq)/a`D. zero

Answer» Correct Answer - B
b. Due to the induced charges of sphere, its potential will remain zero because net induced charge is zero. Potential of sphere will be due to only eight discrete charges.
`V=8((kq)/(sqrt(3)a//2))=(16kq)/(sqrt(3)a)`


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