An alternating electric current has a frequency of $50 \ Hz$. How many times does it change its direction in one second (in $\times$)?

An electric generator works on the principle of electromagnetic induction.

The induced electromotive force $(EMF)$ in a conducting coil does not depend on which of the following?

State whether the following statements are true $(T)$ or false $(F)$.
$(a)$ An electric motor converts mechanical energy into electrical energy.
$(b)$ An electric generator works on the principle of electromagnetic induction.

The phenomenon of electromagnetic induction is:

$(a)$ Describe an activity to determine the direction of magnetic field produced by a current-carrying straight conductor. Also,show that the direction of the magnetic field is reversed on reversing the direction of current.
$(b)$ An $\alpha$-particle (which is a positively charged particle) enters a uniform magnetic field at right angles to it as shown below. Stating the relevant principle,explain in which direction will this $\alpha$-particle move?