Limitations of dimensional analysis – Rankers Physics
Topic: Unit And Dimensions
Subtopic: Dimensions

Limitations of dimensional analysis


Assertion (A): In mechanics the method of dimensions can't be applied to derive formula of a physical quantity which depends on more than three physical quantities.
Reason (R): We can derive relation of a physical quantity with other physical quantities out of which two have same dimensions.
 
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:

In mechanics, we have only three base dimensions (M, L, T). Thus, we cannot determine more than three independent exponents. If two quantities have the same dimensions, they cannot be resolved independently, making R false.

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