A given resistance R is cut into 2 equal parts. What is the resistance of each part?

Correct option is C

Ans. (c) R/2

Explanation:

• When a resistor with resistance $R$ is cut into two equal parts, each part will have half the resistance of the original resistor.

• This is because the resistance $R$ of a conductor is directly proportional to its length. If the length of the conductor is halved (by cutting it into two equal parts), the resistance of each part will also be halved.

  Resistance of each part=R2\text{Resistance of each part} = \frac{R}{2}Resistance of each part= R/2
  ​

Important Key Points:

1. Cutting a resistor into equal parts reduces each part’s resistance proportionally.
2. If the original resistance is $R$, then each half will have a resistance of R2\frac{R}{2}
   ​R/2
3. Resistance $R$ depends on the length, cross-sectional area, and resistivity of the material.
4. Halving the length of the resistor (by cutting) halves its resistance.
5. Formula: $R\propto \text{Length}$.
6. This concept applies only to resistors with uniform material and cross-section.