State the following statement is True or False:
The total path length is always equal to the magnitude of the displacement vector of a particle.

True

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False

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Solution

The correct option is B False
Hence, the total path length is always greater than the magnitude ofdisplacement. It becomes equal to the magnitude of displacement only when aparticle is moving in a straight line. (d) It is because of the fact that the total path length is always greater than or equal to the magnitude of displacement of aparticle.

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Similar questions

Read each statement below carefully and state with reasons, if it is true or false:

(a) The magnitude of a vector is always a scalar, (b) each component of a vector is always a scalar, (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 average velocity of the particle over the same interval of time, (e) Three vectors not lying in a plane can never add up to give a null vector.

Read each statement below carefully and state with reasons, if it is true or false :

(a) The magnitude of a vector is always a scalar,

(b) Each component of a vector is always a scalar,

(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 average velocity of the particle over the same interval of time,

(e) Three vectors not lying in a plane can never add up to give a null vector.

Q. Answer the following as true or false:
(i) Two collinear vectors are always equal in magnitude.

Q. Average speed is always equal to magnitude of average velocity. Is this statement true or false?

Answer the following as true or false:
(i) a and -a are collinear.
(ii) Two collinear vectors are always equal in magnitude.
(iii) Two vectors having same magnitude are collinear.
(iv) Two collinear vectors having the same magnitude are equal.

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State the following statement is True or False:The total path length is always equal to the magnitude of the displacement vector of a particle.

State the following statement is True or False:
The total path length is always equal to the magnitude of the displacement vector of a particle.