Dimensional consistency of equations – Rankers Physics

Dimensions: Practice Problem & Solution

Assertion (A): When an algebraic equation has been derived, it is advisable to check it for dimensional consistency. Reason (R): This guarantees that the equation is correct.  
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

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Dimensions. Understanding the underlying formula is key to arriving at the correct answer below:

A dimensionally consistent equation is not guaranteed to be physically correct, as dimensionless constants cannot be verified through dimensional analysis. Thus, R is false.

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