Select the option that is true regarding the following two statements labelled Assertion (A) and Reason (R).

(A): An object slips less on a rough surface than a smooth surface.

(R): When a surface is rough, frictional force increases.

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SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 1)
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  1. Assertion (A) is true and Reason (R) is false. 
  2. Both Assertion (A) and Reason (R) are the true but Reason (R) is not a correct explanation of Assertion (A).
  3. Assertion (A) is false and Reason (R) is true.
  4. Both Assertion (A) and Reason (R) are the true and Reason (R) is a correct explanation of Assertion (A).

Answer (Detailed Solution Below)

Option 4 : Both Assertion (A) and Reason (R) are the true and Reason (R) is a correct explanation of Assertion (A).
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Detailed Solution

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The correct answer is Both Assertion (A) and Reason (R) are the true and Reason (R) is a correct explanation of Assertion (A).Key Points

  • Assertion (A) is true because a rough surface provides more contact points between the object and the surface, increasing the frictional force and reducing slipping.
  • Reason (R) is also true because frictional force increases with roughness as the irregularities in the surface create more resistance.
  • Both Assertion (A) and Reason (R) are related and true, and Reason (R) provides a correct explanation for Assertion (A).

Additional Information

  • Frictional force:-
    • It is a force that opposes motion between two surfaces in contact.
    • It is dependent on the nature of the surfaces in contact, the normal force, and the coefficient of friction.
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