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The displacement of a particle is independent of the path taken if only the initial and final positions are considered. It is determined by the difference between the final and initial positions, regardless of how the particle got there. This is a result of displacement being a vector quantity, where only the magnitude and direction matter, not the path taken.

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Q: How can displacement of a particle is independent of the path taken?
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Does displacement of a particle depend on the actual path along which the particle move between two points?

No. Displacement is just the final location minus the initial location, regardless of the path.


Is displacement or distance independent of path?

Distance is independent of path, as it is the total length traveled from point A to point B, regardless of the route taken. Displacement, on the other hand, is the shortest distance between the initial and final points and is also independent of path.


Does displacements of a particle depend on the actual path along which the particle moves between two points?

No, the displacement of a particle only depends on the straight-line distance between the initial and final positions, not the actual path taken. It is a vector quantity that represents how far out of place an object is compared to a reference point.


What are properties of displacement?

Displacement is a vector quantity that describes the change in position of an object. It has both magnitude (length of the shortest path between the initial and final positions) and direction. Displacement is independent of the path taken, only dependent on the initial and final positions.


Give an example in which the distance traversed by a particle is larger than the magnitude of its displacement in the same time?

This may happen when the particle moves back and forth.


Force is path-dependent and will change an object's total mechanical energy?

Force is path-independent – it only depends on the starting and ending points, not the path taken. The work done by a force only depends on the displacement of an object, not the specific path taken.


Are distance and displacement the same?

distance travel led by a particle in a given interval of time is known as displacement. displacement=distance traveled by time taken.Displacement may be zero. it is path length which a particle travels.distance should not be zero.


What is the value of displacement of particle moving in a circular path for two complete circular motion?

The value of displacement of a particle moving in a circular path for two complete circular motions is zero. This is because the particle ends up back at its starting position after completing each circle, resulting in no net displacement over the two complete circular motions.


What force is not path-dependent and does not change the overall mechanical energy of an object?

A conservative force is not path dependent. A conservative force is a force with the property that the work done in moving a particle between two points is independent of the taken path.


The shortest path from a starting point to an endpoint regardless of the path taken is called the .?

resultant displacement


Which quantity is independent of the path taken?

Internal energy of a system is independent of the path taken, i.e., it only depends on the initial and final states of the system.


Can the distance travelled by a particle be zero when displacement is not zero?

Yes, the distance travelled by a particle can be zero even when the displacement is not zero. This can happen when the particle moves back and forth along the same path, resulting in a net displacement of zero but no actual distance covered.