Option 1 states that the centripetal force required by the electron is about 2,000 times more than that required by the proton. This implies that the electron requires a much stronger force to maintain its circular path compared to the proton. However, this is incorrect.

Option 2 states that the centripetal force required by the proton is about 2,000 times more than that required by the electron. This is the correct answer. Since the proton has a much larger mass compared to the electron, it requires a stronger centripetal force to maintain its circular path. The centripetal force is directly proportional to the mass of the object moving in a circular path, so the proton needs a stronger force compared to the electron.

Option 3 states that no centripetal force is required for any charged particle. This is incorrect. Centripetal force is necessary to keep a charged particle in a circular path and prevent it from moving in a straight line.

Option 4 states that equal centripetal force acts on both the particles as they rotate in the same circular path. This is incorrect. Since the mass of the proton is much larger, it requires a stronger centripetal force than the electron.

In conclusion, option 2 is the correct