Question

Assertion (A): When resistors are connected in parallel, the effective resistance of the combination is less than the individual resistances.

Reason (R): When resistors are connected parallel, the effective area of cross-section increases and the resistance is inversely proportional to the area of cross-section.

• A. A and R are true and R is the correct explanation of A.
• B. A and R are true, but R is not the correct explanation of A.
• C. A is true but R is false.
• D. Both A and R are false

Answer 1

The correct option is A

A and R are true and R is the correct explanation of A.

The explanation for the assertion statement

1. When the resistors are connected in parallel combination the resultant resistance is always less than each of the resistors.
2. Resultant of the parallel combination is given as $\frac{1}{R_e}=\frac{1}{R_1}+\frac{1}{R_2}$

The explanation for the reason statement

1. When the resistors are connected in parallel the effective cross-sectional area increases
2. And we know that the resistance of the wire is inversely proportional to the cross-sectional area so resistance decreases.

Hence the correct option is (A): A and R are true and R is the correct explanation of A.