Question

mention the two limitations of dimensional analysis
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Answer 1

Answer:

1) If dimensions are given, physical quantity may not be unique as many physical quantities have same dimensions. For example if the dimensional formula of a physical quantity is [ML1T−2] it may be work or energy or torque.

2) Numerical constant having no dimension (K) such as (1/2), 1 or 2π etc. can’t be deducted by the methods of dimensions.

Explanation:

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Answer 2

Limitations of dimensional analysis:

1. This method does not tell us how to determine the proportionality constant value.

2. The method cannot be considered to derive composite relations. Examples s = ut + 1/2 at2 and 2as = v2 – u2.

3. A formula containing trigonometric function, exponential function, and logarithmic function can not derive from it.

4. The method cannot be used to derive the relationship between more than three quantities.