A. Kirchhoff's junction rule is based on conservation of charge.

• This statement is correct. Kirchhoff's junction rule, also known as Kirchhoff's current law (KCL), is indeed based on the conservation of electric charge.

B. Current is a vector quantity.

• This statement is incorrect. Current is a scalar quantity, not a vector. It has magnitude and direction, but it does not obey the vector addition rules because it represents the flow of charge.

C. Current density is a vector quantity.

• This statement is correct. Current density is a vector quantity that describes the current per unit area and has both magnitude and direction.

D. Resistance doesn't depend on the dimension of the conductor.

• This statement is incorrect. The resistance of a conductor depends on its dimensions, specifically its length and cross-sectional area, as described by the formula R = ρ (L/A), where ρ is the resistivity, L is the length, and A is the cross-sectional area.

E. Resistivity depends on temperature.

• This statement is correct. Resistivity does depend on temperature for most materials. As the temperature changes, the resistivity of a material can change as well.

So, the correct statements are A, C, and E. The correct answer is option 3: "A, C, E Only."