Question

Assertion: Distance is the total length covered by an object with directions.

Reason: Distance is a scalar quantity.

a) Both the assertion and the reason are true, and the reason is the correct explanation of the assertion.
b) Both the assertion and the reason are true, but the reason is not the correct explanation of the assertion.
c) The assertion is true, but the reason is false.
d) Both the assertion and the reason are false.

Answer 1

Distance is the total length covered by an object, while displacement is the straight-line distance and direction from the starting point to the final position. Distance is a scalar quantity, while displacement is a vector quantity.

Step-by-step explanation:

The correct answer to the question is d) Both the assertion and the reason are false. The assertion is incorrect because distance does not include direction; it is simply the total length of the path covered by an object. Distance is the total length covered by an object regardless of direction, while displacement is the straight-line distance and direction from the starting point to the final position. Distance is a scalar quantity because it only has magnitude, whereas displacement is a vector quantity because it has both magnitude and direction. For example, if you walk 5 meters forward and then 3 meters backward, your total distance is 8 meters, but your displacement is 2 meters backwards.