The electrostatic potential on the surface of a charged conducting sphere is `100V`. Two statements 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?
Options:
(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 statements are independent