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The electrostatic potential on the surfa...

The electrostatic potential on the surface of a charged concducting sphere is `100 V`. Two statements are made in this regard
`S_(1) :` at any inside the sphere, electric intensity is zero.
`S_(2) :` at any point inside the sphere, the electrostatic potential is `100 V`.

A

`S_(1)` is true but `S_(2)` is false

B

Both `S_(1)` and `S_(2)` are false

C

`S_(1)` is true, `S_(2)` is also true and `S_(1)` is the cause of `S_(2)`

D

`S_(1)` is true, `S_(2)` is also true but the statement are independent

Text Solution

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The correct Answer is:
C

As is known from theory, at any point inside a charged conducting sphere, `E = 0` and `V = (k//q)/(R )` = potential on the surface `= 100 V`
Infact, `E = - (dV)/(dr) = (d)/(dr)` (constant) = Zero.
Choice (C ) is correct
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