Question

limiations of dimensional analysis​???​

Answer 1

$\huge{\underline{\mathtt{\red{❥A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}$

Limitations of dimensional analysis were:-

It cannot derive relation or formula if a physical quantity depends upon more than three factors having dimensions.

It cannot derive a formula containing trigonometric function, exponential function, and logarithmic function.

It cannot derive a relation having more than one part in an equation.

Answer 2

(i)                The value of dimensionless constants cannot be determined by this method.

(ii)             This method cannot be applied to equations involving exponential and trigonometric functions.

(iii)           It cannot be applied to an equation involving more than three physical quantities.

(iv)            It can check only whether a physical relation is dimensionally correct or not. It cannot tell whether the relation is absolutely correct or not. For example applying this technique s =ut + (1/4) at2 is dimensionally correct whereas the correct relation is s = ut + (1/2) at2

Limitations of dimensionless analysis:

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

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

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

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