When a Certain Capacitor Carries Charges Of $\pm 10 \mu \mathrm { C }$

Multiple Choice

When a certain capacitor carries charges of $\pm 10 \mu \mathrm { C }$ on its plates, the potential difference cross the plates is $25 \mathrm {~V}$ . Which of the following statements about this capacitor are true? (There could be more than one correct choice.)

A) If we double the charges on the plates to $\pm 20 \mu \mathrm { C }$ , the potential difference across the plates will decrease by a factor of two.
B) If we double the charges on the plates to $\pm 20 \mu \mathrm { C }$ , the capacitance of the capacitor will also double.
C) If we double the charges on the plates to $\pm 20 \mu \mathrm { C }$ , the potential difference across the plates will also double.
D) If we double the charges on the plates to $\pm 20 \mu \mathrm { C }$ , the capacitance of the capacitor will not