Final answer:
The correct option is (b) the potential difference is one volt, as this reflects the work done to move a charge of one coulomb through an energy change of one joule.
Step-by-step explanation:
When one joule of work is needed to move one coulomb of charge from one point to another with no change in velocity, the potential difference between the two points is one volt. According to the relationship E = qV, where E is energy in joules, q is charge in coulombs, and V is potential in volts, a charge of 1 Coulomb moving through a potential difference of 1 Volt means an energy of 1 Joule is involved, which is essentially the definition of a volt. Thus, option (b) "the potential difference is one volt" is the correct one.
It's important to note that the current or the amount of charge flowing per second is not specified here, so we cannot claim the current is one ampere solely based on the given information. Similarly, electric field strength is characterized by force per unit charge (in newtons per coulomb), and as it varies with distance and geometry, it doesn't directly link to the condition described without further context. Finally, electric field strength as 'one joule per electron' is not a valid unit for electric field strength, and it confuses energy with force per charge.