question_answer

Assertion: The numerical ratio of displacement to distance is equal to one or less than one. Reason: Displacement is a vector quantity and distance is a scalar quantity. (a) Both assertion and reason are true and the reason is the correct explanation of the assertion. (b) Both assertion and reason are true, but reason is not the correct explanation of the assertion. (c) Assertion is true, but the reason is false (d)  Assertion is false, but the reason is true.

Answer:

It is a fact that the magnitude of distance can never be zero, but displacement can be, at the most, the magnitude of displacement and distance can be equal. Therefore, the numerical ratio of displacement to distance is equal to one or less than one. Displacement is a vector quantity and distance is a scalar quantity. This is true, but it is not the correct reason for the above statement.