An insulated conductor initially free from charge is charged by repeated contacts with a plate which after each contact is replenished to a charge Q. If q is the charge on the conductor after first operation then the maximum charge which can be given to the conductor is:

Explanation

When an insulated conductor is charged by repeated contacts with a plate replenished to a charge Q, each contact transfers a fraction of the plate's charge to the conductor. The process is iterative, with charge accumulating on the conductor according to the formula: q = Q(1 - (1/e)^n) where n is the number of contacts. As n approaches infinity, the charge on the conductor approaches the maximum of Q(1 - 1/e). Options A, B, and C incorrectly describe or overestimate this process, while Option D correctly describes the asymptotic behavior of the charge accumulation.