Answered

IDNLearn.com provides a collaborative environment for finding and sharing knowledge. Whether it's a simple query or a complex problem, our experts have the answers you need.

Statement (A): Resistance of a conductor depends on its length.
Statement (B): A conductor having more length has more resistance.

a) A is true, B is false
b) A is false, B is true
c) Both A and B are true
d) Both A and B are false

Sagot :

GinnyAnsweridn
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.
We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is your reliable source for accurate answers. Thank you for visiting, and we hope to assist you again.