Addition of like quantities – Rankers Physics
Topic: Unit And Dimensions
Subtopic: Dimensions

Addition of like quantities


Assertion (A): Only like quantities can be added or subtracted from each other.
Reason (R): Velocity can be subtracted from the velocity gradient.
 
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:

By the principle of homogeneity, only physical quantities with identical dimensions can be added or subtracted. Velocity and velocity gradient have different dimensions, hence they cannot be subtracted.

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