A thin spherical shell of radius R is cut into two equal halves and then each of its halves is charged to the same uniform surface charge density `sigma.` If F is the force exerted on each half to keep them at equilibrium, then F is proportional to

Options

A. `(1)/(epsilon_(0))sigma^(2)R`
B. `(1)/(epsilon_(0))(sigma^(2))/(R)`
C. `(1)/(epsilon_(0))(sigma)/(R^(2))`
D. `(1)/(epsilon_(0))(sigma^(2))/(R^(2))`

Answer

D