To increase the strength of the electromagnet, the student can make the following changes:
B. use a 4-V battery
Increasing the voltage would increase the strength of the electromagnet.
C. wrap more coils of wire around the nail
Adding more coils increases the strength of the magnetic field produced by the electromagnet.
E. use two 1-V batteries instead of a 2-V battery
Using two 1-V batteries in series would provide a total of 2 volts, which does not increase the voltage beyond what is already being used. However, since this option doesn't decrease voltage or increase it beyond 2-V, it is not an effective way to strengthen the magnet. Hence, this option is irrelevant.
In summary, the correct answers to increase the electromagnet's strength are B and C.