Dimensions of base quantities – Rankers Physics

Dimensions: Practice Problem & Solution

Assertion (A): The dimensions of base (fundamental) quantity in other base quantities is always zero. Reason (R): All derived quantities may be represented dimensionally in terms of fundamental quantities.  
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:

Base quantities are mutually independent and cannot be defined in terms of each other, making the exponent of one base quantity in another zero. Both statements are true, but R is not the explanation of A.

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