A particle of mass m is taken along different frictionless paths AB as indicated by the following diagrams. In each case, the particle starts from rest at A and reaches the point B finally. All the paths are in a vertical plane and the external forces act such that the particle moves along the respective paths without restraint;Which of the following statements will be true in respect of the above motions?

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The times of flight for all the four paths will be the same

The velocity of the particle on reaching the point B will be the same for all the paths

The work done in the motion from A to B by the external forces will be the same for all the paths

The horizontal component of velocity will remain constant for all the paths

answer is C.

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Detailed Solution

Work done by external agent = Work done against gravityWhich is same for all paths.

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