Question

Assertion : Longer wires have greater resistance and the smaller wires have lesser resistance. Reason : Resistance is inversely proportional to the to the length of the wire. *
1 point
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.
(e) Both Assertion and Reason are false.

Answer 1

Answer:

a

Explanation:

Resistance wire R=ρlA where ρ is resistivity of material which does not depend on the geometry of wire. Since when wire is banded, resistivity, length and area of cross-section do not change, therefore resistance of wire also remain same.

Answer 2

The correct answer is option (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Explanation:

• It is true that Longer wires have greater resistance and the smaller wires have lesser resistance.
• It is because Resistance is inversely proportional to the to the length of the wire.
• The relationship between resistance and the area of the cross section of a wire is inversely proportional.
• The relationship between resistance and wire length is proportional.
• So, the correct answer is that both A and R are true and R is the correct explanation of A.