1.

Surface density of charge on a sphere of radius R in terms of electric intensity E at a distance in free space is `(epsi_(0)` = permittivity of free space)A. `in_(0)E(R/r)^(2)`B. `(in_(0)ER)/r^(2)`C. `in_(0)E(r/R)^(2)`D. `(in_(0)Er)/R^(2)`

Answer» Correct Answer - C
The electric intensity out side the charged sphere in terms of surface charge density is given by,
`E=(sigmaR^(2))/(in_(0)Kr^(2))`
`therefore" "sigma=Ein_(0)K(r/R)^(2)`
For free space K = 1
`therefore" "sigma=Ein_(0)(r/R)^(2)`


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