Mention the limitation of dimensional analysis.

Give the limitations of dimensional analysis.

A physical quantity depends upon five factors , all of which have dimensions, then method of dimensional analysis

The energy E of an oscillating body in simple harmonic motion depends on its mass m , frequency n and amplitude a using the method of dimensional analysis find the relation between E ,m, n and a .

Choose the correct statement(s) from the given statements (I) The proportionality constant in an equation can be obtained by dimensional analysis. (II) The equation V = u + at can be derived by dimensional method. (III) The equation y = A sin omega t cannot be derived by dimensional method (IV) The equation eta = (A)/(B)e^(-Bt) can be derived with dimensional method

Mention the uses of dimensional equations.

A : Physical relations involving addition and subtraction cannot be derived by dimensional analysis. R : Numerical constants cannot be deduced by the methos of dimensions.

Explain the uses of dimensional analysis with one example for each.

If velocity, force and time are taken as the fundamental quantities, them using dimensional analysis choose the correct dimensional formula for mass among the following. [K is a dimensionless constant]

Given that int (dx)/(sqrt(2 ax - x^2)) = a^n sin^(-1) ((x-a)/(a)) where a is a constant. Using dimensional analysis. The value of n is

A : If displacement y of a particle executing simple harmonic motion depends upon amplitude a angular frequency omega and time t then the relation y=asinomegat cannot be dimensionally achieved. R : An equation cannot be achieved by dimensional analysis, if it contains dimensionless expressions.