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Physics · MOTION IN A PLANE

हिन्दी

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The magnitude of the displacement vector of an object moving between two points is either less than or equal to the actual path length traversed by the object. Reason (R): Displacement is the shortest straight-line distance joining the initial and final positions, whereas path length is the total distance traveled along the actual trajectory. In the light of the above statements, choose the correct answer from the options given below:

  1. Both (A) and (R) are true and (R) is the correct explanation of (A).
  2. Both (A) and (R) are true but (R) is NOT the correct explanation of (A).
  3. (A) is true but (R) is false.
  4. (A) is false but (R) is true.

Correct answer · Option 1

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

Explanation

Displacement is the straight-line distance, which is the minimum possible distance between two points. Hence, magnitude of displacement <= path length, making both statements true and (R) the correct explanation.
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