Certainly! Let's carefully analyze each statement:
### Statement (A): Resistance of a conductor depends on its length.
- Explanation: Resistance (R) of a conductor is determined by the formula [tex]\( R = \rho \frac{L}{A} \)[/tex], where:
- [tex]\( \rho \)[/tex] (rho) is the resistivity of the material
- [tex]\( L \)[/tex] is the length of the conductor
- [tex]\( A \)[/tex] is the cross-sectional area
This formula clearly shows that as the length [tex]\( L \)[/tex] of the conductor changes, the resistance [tex]\( R \)[/tex] will change proportionally. Therefore, the resistance of a conductor indeed depends on its length.
- Conclusion: Statement (A) is true.
### Statement (B): A conductor having more length has more resistance.
- Explanation: From the same formula [tex]\( R = \rho \frac{L}{A} \)[/tex], it's evident that the resistance increases as the length [tex]\( L \)[/tex] increases if the resistivity [tex]\( \rho \)[/tex] and the cross-sectional area [tex]\( A \)[/tex] remain constant.
- Conclusion: Statement (B) is true.
Given that both statements (A) and (B) are true, we choose option (c) Both A and B are true.
### Answer:
- c) Both A and B are true
Thus, the correct option is c) Both A and B are true.
