Question

Statement I For a particle moving along a straight line, the displacement in a particular time interval is independent of choice of origin.

Statement II The displacement is a vector that points from an object's initial position to object's final position and its magnitude is equal to the shortest distance between the two positions.

• A. Statement I is True, Statement II is True; Statement II is a correct explanation for Statement I
• B. Statement I is True, Statement II is True; Statement II is not a correct explanation for Statement I
• C. Statement I is True, Statement II is False
• D. Statement I is False, Statement II is True

Answer 1

The correct option is A

Statement I is True, Statement II is True; Statement II is a correct explanation for Statement I

The explanation for Assertion statement:

1. For a particle moving along a straight line, the displacement in a particular time interval is independent of the choice of origin.
2. This statement is true because displacement is nothing but the shortest distance between the initial and final position so, it only depends on the initial and final point and not on the choice of origin.

The explanation for Reason statement:

1. The displacement is a vector that points from an object's initial position to the object's final position and its magnitude is equal to the shortest distance between the two positions.
2. This statement is true because displacement is a vector as it gives direction along with the magnitude and it is nothing but the shortest distance between the initial and final position.

Statement I is true and Statement II is true. Hence, Option A is correct