The electrostatic potential on the surfa...

The electrostatic potential on the surface of a charged conducting sphere is 100 V. Two statement are made in this regard -
`S_(1)` : At any point inside the sphere, electric intensity is zero.
`S_(2)`: At any point inside the sphere, the electrostatic potential is 100V.
Which of the following is a correct statement?

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

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

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

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

Verified by Experts

The correct Answer is:

The field E inside a conductor is zero.
`E = (dV)/(dr) or, -Edr = dV = 0`
`:.` V is constant.

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This question has Statement -1 and Statement 2. Of the four choices given after the statements, choose the one that best describes the two statements . An insulating solid sphere of radius R has a uniform positive charge density p. As a result of this uniform charge distribution, there is a finite value of electric potential at the centre of the sphere, at the surface of the sphere and also at a point out side the sphere. The electric potential at infinity is zero. Statement -1: When a charge q is taken from the centre to the surface of the sphere, its potential energy changes by (qp)/(3epsilon _0) Statement - 2 : The electric field at a distance (rltR) from the centre of the sphere is (pr)/(3epsilon _0)

Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation for statement 1

Statement 1 is true, Statement 2 is false.

Statement 1 is false, Statement 2 is true.

Statement 1 is true, Statement 2 is the correct explanation for statement 1

`Q/(4 pi epsilon_(0)R^(2)) and Q/(4 pi epsilon_(0)R)`

`Q/(4 pi epsilon_(0)R)` and zero

zero and zero

`(4 pi epsilon_(0)Q)/R and Q/(4 pi epsilon_(0)R^(2))`

`Q/(4piin_0R^2` and `Q/(4piin_0R`

`Q/(4piin_0R` and Zero

Zero and Zero

`(4piin_0Q)/R` and `Q/(4piin_0R^2)`