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Question

The ratio of displacement to distance is____________


A

Always less than 1

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B

Less than or equal to 1

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C

Always equal to 1

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D

Always more than 1

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Solution

The correct option is B

Less than or equal to 1


Distance

  1. It is the complete length of the path between any two points
  2. It is a scalar quantity
  3. Distance will always have a positive sign.

Displacement

  1. Displacement is the shortest distance between the initial and final positions of the object.
  2. It is a vector quantity.
  3. Displacement can have +ve, -ve as well as a zero value.

As the magnitude of displacement is always either less than or equal to distance travel. Hence, the numerical ratio of displacement to distance is either less than or equal to 1.

Thus, option B is correct.


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