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Home » Read each statement below carefully and state with reasons, if it is true or false: (c) The total path length is always equal to the magnitude of the displacement vector of a particle (d) The average speed of a particle (defined as total path length divided by the time taken to cover the path) is either greater or equal to the magnitude of the average velocity of the particle over the same interval of time
Read each statement below carefully and state with reasons, if it is true or false: (c) The total path length is always equal to the magnitude of the displacement vector of a particle (d) The average speed of a particle (defined as total path length divided by the time taken to cover the path) is either greater or equal to the magnitude of the average velocity of the particle over the same interval of time
CBSE | Class 11 | Motion in a Plane | NCERT | Physics
Read each statement below carefully and state with reasons, if it is true or false: (c) The total path length is always equal to the magnitude of the displacement vector of a particle (d) The average speed of a particle (defined as total path length divided by the time taken to cover the path) is either greater or equal to the magnitude of the average velocity of the particle over the same interval of time

Answer :

(c) False: The total length of the path is a scalar quantity, and the displacement is a vector quantity. Therefore, the total length of the path is always greater than the amplitude of the displacement. It becomes equal to the amplitude of displacement only when a particle moves in a straight line.

(d) True: This is because the total path length is always greater than or equal to the displacement amplitude of the particle.

 

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