1)The direction of the force on doubly ionized helium atoms(alpha particles)moving at right angles to a magnetic field is opposite to the direction of the force given by the third right-hand rule.

true.

2)The electromotive force is a force that makes charges flow from a point of higher potential to lower potential.

false. from low to high

I have no idea on the first. THe term third right-hand rule must be unique to your text.

On the second, it depends on what kind of charges you are discussing: positive, or negative. Wouldn't that matter?

To verify the accuracy of the statements provided:

1) The force on a charged particle moving in a magnetic field can be determined using the right-hand rule. According to the third right-hand rule, if you extend your right thumb in the direction of the charged particle's velocity and curl your fingers in the direction of the magnetic field, the direction in which your fingers point will be the direction of the force acting on the particle. Since the statement claims that the force on doubly ionized helium atoms (also known as alpha particles) moving at right angles to a magnetic field is opposite to the direction of the force given by the third right-hand rule, this statement is true.

2) The electromotive force (emf) is not a force that makes charges flow from a point of higher potential to lower potential. Instead, the emf, measured in volts, is the electric potential difference provided by a power source, such as a battery or a generator. It represents the energy per unit charge that is supplied to move the charges in a closed circuit. When a circuit is connected to a source of emf, charges flow from the negative terminal (lower potential) to the positive terminal (higher potential), contrary to the statement given. Hence, this statement is false.