Direction: In the following questions, a statement of assertion (A) i...
Distance covered by an object is the total path length while displacement is the shortest distance measured from initial position to the final position of an object.
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Direction: In the following questions, a statement of assertion (A) i...
Assertion: Displacement for a course of motion may be zero but the corresponding distance covered is not zero.
Reason: Displacement and distance covered may not always equal.
Explanation:
Displacement:
- Displacement refers to the change in the position of an object in a particular direction.
- It is a vector quantity and is represented by both magnitude and direction.
- It can be positive, negative, or zero depending on the initial and final positions of the object.
- Displacement is a straight line distance between the initial and final position of an object.
Distance:
- Distance refers to the total path traveled by an object irrespective of the direction.
- It is a scalar quantity and is represented only by magnitude.
- Distance is always positive and cannot be negative.
Explanation of the Assertion and Reason:
- The statement in the assertion is true. Displacement for a course of motion may be zero, which means that the object starts and ends at the same position.
- However, the statement in the reason is also true. Displacement and distance covered may not always be equal.
- This is because displacement takes into account only the change in position, while distance considers the total path traveled.
- For example, if an object moves forward and then returns to its initial position, the displacement is zero as the object ends up at the same position. However, the distance covered is not zero as the object has traveled a certain path.
- Similarly, if an object moves in a circular path, its displacement is zero as it ends up at the same position. However, the distance covered is the circumference of the circle.
- Therefore, the reason provided in the assertion is not the correct explanation of the assertion, but both the assertion and reason are true.
Conclusion:
- Option 'B' is the correct answer as both the assertion and reason are true, but the reason is not the correct explanation of the assertion.
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