Units and Dimensions – Rankers Physics
Topic: Unit And Dimensions
Subtopic: Dimensions

Units and Dimensions


Assertion (A): If a physical quantity has a unit it must have dimension.
Reason (R): There may exist a physical quantity which has dimension but no unit.
 
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution:

An angle has a unit (radian) but is dimensionless, so A is false. Any physical quantity that possesses dimensions must have a unit, so R is also false.

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