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Given below are two statements:Statement (I) : The limiting force of static friction depends on the area of contact and independent of materials.Statement (II) : The limiting force of kinetic friction is independent of the area of contact and depends on materials.In the light of the above statements, choose the most appropriate answer from the options given below :JEE Main 2024 (27 Jan Shift 2)AStatement I is correct but Statement II is incorrectBStatement I is incorrect but Statement II is correctCBoth Statement I and Statement II are incorrectDBoth Statement I and Statement II are correct

Question

Given below are two statements:Statement (I) : The limiting force of static friction depends on the area of contact and independent of materials.Statement (II) : The limiting force of kinetic friction is independent of the area of contact and depends on materials.In the light of the above statements, choose the most appropriate answer from the options given below :JEE Main 2024 (27 Jan Shift 2)AStatement I is correct but Statement II is incorrectBStatement I is incorrect but Statement II is correctCBoth Statement I and Statement II are incorrectDBoth Statement I and Statement II are correct

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Solution

The correct answer is B. Statement I is incorrect but Statement II is correct.

Here's why:

Statement I: The limiting force of static friction does not depend on the area of contact, but it does depend on the materials in contact. This is because the force of static friction is given by the equation F = μN, where μ is the coefficient of static friction (which depends on the materials) and N is the normal force (which does not depend on the area of contact). Therefore, Statement I is incorrect.

Statement II: The limiting force of kinetic friction is indeed independent of the area of contact and depends on the materials in contact. This is because the force of kinetic friction is given by the equation F = μN, where μ is the coefficient of kinetic friction (which depends on the materials) and N is the normal force (which does not depend on the area of contact). Therefore, Statement II is correct.

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