mention the limitations of dimensional analysis
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limitations of dimensions analysis:
- this method does not give any information about the dimensionless constant k
- it feels when a physical quantity depends on more than three physical quantities.
- it feels to derive relationship which involves logarithmic , exponential in function and trigonometric functions.
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Answer:
Limitations of dimensional analysis are :
Explanation:
- If the dimensions are given physical quantity may not be unique for example work energy and torque all have the same dimensional formula
- numerical constants cannot be deduced by the method of dimensions
- the method of dimensions cannot be used to describe relations other than the product of power function
- the method of dimensions can be applied to derive the formula if in mechanics of physical quantity depends upon more than three physical quantities because a nose be more than equations however correctness can be checked
- even if a physical quantity depends upon three physical quantities out of waste to have the same dimensions formula cannot be determined by the theory of dimensions for example the frequency of A tuning fork cannot be derived it can be checked for correctness
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