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Physics-(general)

NEET Physics (general) MCQ Question

Type: MCQ-diagram based-Hard-Class 12

Consider a diagram showing a rectangular slab of length ll and area of cross-section AA. If the resistance RR of the slab is given by the expression R=ρl/AR = \rho l / A, where ρ\rho is the resistivity of the material, what does this relationship imply about the resistance when the length of the slab is doubled and the area of cross-section is halved?

Question diagram
A

Resistance increases by a factor of 4.

B

Resistance remains unchanged.

C

Resistance doubles.

D

Resistance decreases by a factor of 2.

Correct Answer

Option A

Detailed Explanation

According to the formula R=ρl/AR = \rho l / A, doubling the length ll and halving the area AA results in the resistance being multiplied by 4, since RR is directly proportional to ll and inversely proportional to AA.

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