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The resistivity of a material of length 5 m is 1.6 ×10⁻⁸ ohm–m. If the length of the material is increased by 10 m, then the value of resistivity
Question

The resistivity of a material of length 5 m is 1.6 ×10⁻⁸ ohm–m. If the length of the material is increased by 10 m, then the value of resistivity is __________.

A.

12.4 ×10⁻⁸

B.

0.8 ×10⁻⁸

C.

3.2 ×10⁻⁸

D.

1.6 ×10⁻⁸

Correct option is D

Correct Answer:- (D) 1.6 ×10⁻⁸

Resistivity (ρ) is an inherent property of a material and does not change with its dimensions (length or cross-sectional area). Therefore, when the length of a material is increased, the resistivity remains the same.
Given:-
 The initial resistivity of the material, ρ = 1.6 × 10⁻⁸ ohm·m
 The length of the material is increased from 5 m to 15 m.
Explanation:-
Resistivity (ρ) is a material property that depends on the nature of the material, not its shape or size. It is independent of the length of the material.
Hence, even after increasing the length of the material, the resistivity remains unchanged.
Answer:-
The resistivity of the material remains 1.6 × 10⁻⁸ ohm·m.
So, the correct answer is: (d) 1.6 × 10⁻⁸.

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