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Q.

The following question consists of two statements – Assertion (A) and Reason (R). Answer this question by selecting the appropriate option given below:


Assertion (A): Longer wires have a greater resistance and the smaller wires have lesser resistance.


Reason (R): Resistance is inversely proportional to the length of the wire.


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a

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

b

Both A and R are true but R is not the correct explanation of A.

c

A is true but R is false.

d

A is false but R is true.  

answer is C.

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Detailed Solution

Assertion: It is true that that  R=ρ×LA. Here,  R, ρL and A  are the resistance, resistivity, length of wire and cross-sectional area respectively.
Reason: Here, we can say that resistance is directly proportional to the length of a wire. That means if the length of a wire increases then resistance also increases.
Therefore, A is true but R is false.
 
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The following question consists of two statements – Assertion (A) and Reason (R). Answer this question by selecting the appropriate option given below:Assertion (A): Longer wires have a greater resistance and the smaller wires have lesser resistance.Reason (R): Resistance is inversely proportional to the length of the wire.