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

Solution Explained:

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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