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Consider an initially neutral hollow con...

Consider an initially neutral hollow conducting spherical shell with inner radius r and outer radius 2r. A point charge +Q is now placed inside the shell at a distance r/2 from the centre. The shell is then grounded by connecting the outer surface to the earth. P is an external point at a distance 2r from the point charge +Q on the line passing through the centre and the point charge +Q as shown in the figure.

The magnitude of the force on a test charge +q placed at P will be

A

`(1)/( 4 pi epsi_0) (qQ)/(4r^(2))`

B

`(1)/(4 pi epsi_(0)) (9qQ)/(100r^(2))`

C

`(1)/(4 pi epsi_0)(4 qQ)/(25 r^(2))`

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
Charge on outer most surface is zero
Hence force on q is also 0
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Knowledge Check

  • A conducting shell of radius R carries charge -Q . A point charge +Q is placed at the centre. The electric field E varies with distance r (from the centre of the shell) as

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  • A point charge q ie kept inside an uncharged conducting shperical shell . The radius of the shell is R and the charge is kept inside the shell at a distance x from the centre . Identify thet correct statement .

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