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The magnitude of the displacement of an object is always
  • a)
    greater than the distance travelled
  • b)
    equal to the distance travelled
  • c)
    less than the distance travelled
  • d)
    less than or equal to the distance travelled
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The magnitude of the displacement of an object is alwaysa)greater than...
  • Displacement is the shortest straight line distance between the initial and final position. This means that there doesn't exist any other path which is shorter than it.
  • If the object travels with that shortest straight-line path then the magnitude of distance and displacement would be the same.
  • If the object doesn't do so and travels with any other paths then as the other path is not the shortest path, so it will be larger than that of displacement. So if the object travels with this path then the magnitude of displacement will be smaller than the distance.
Thus, the magnitude of displacement may be equal to or smaller than that of distance.
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Most Upvoted Answer
The magnitude of the displacement of an object is alwaysa)greater than...
Displacement is the shortest straight line distance between initial and final position . This means that there doesn't exist any other path which is shorter than it .
If the object travels with that shortest straight line path then the magnitude of distance and displacement would be same . If the object doesn't do so and travels with any other paths then as the other path is not the shortest path , so it will be larger than that of displacement . So if the object travels with this path then the magnitude of displacement will be smaller than the distance.

Thus , the magnitude of displacement may be equal or smaller than that of distance.
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Community Answer
The magnitude of the displacement of an object is alwaysa)greater than...
The answer is option d .
The magnitude of the displacement would be equal to distance in case of straight line motion. The magnitude of displacement would be less than distance in all other cases.
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The magnitude of the displacement of an object is alwaysa)greater than the distance travelledb)equal to the distance travelledc)less than the distance travelledd)less than or equal to the distance travelledCorrect answer is option 'D'. Can you explain this answer?
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