Conservation of Charge — Prelims Questions

Which of the following statements best describes the principle of conservation of electric charge?

A neutral metal sphere is touched by a positively charged glass rod. After contact, the sphere is separated from the rod. What is the final charge on the sphere and the rod, respectively?

In a nuclear reaction, a neutron ($^1_0n$) decays into a proton ($^1_1p$), an electron ($^0_{-1}e$), and an antineutrino ($\bar{\nu}_e$). Which fundamental conservation law is demonstrated by the charges in this reaction?

Two identical conducting spheres, P and Q, are initially charged with $+2q$ and $-6q$ respectively. They are brought into contact and then separated. What is the final charge on sphere P?

Which of the following processes would NOT violate the conservation of electric charge?

A system consists of three point charges: $q_1 = +3\,\text{C}$, $q_2 = -5\,\text{C}$, and $q_3 = +2\,\text{C}$. If $q_1$ and $q_2$ are allowed to interact and $q_3$ remains isolated, what is the total charge of the system after any interaction between $q_1$ and $q_2$?