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

Which of the following cannot be verified by using dimensional analysis?

It two physical quantities a and b are related by the equation a = kb where k is dimensionless constant, then the principle of dimensional homogeneity demands that a and b have the same dimension. However the proportionality constant k cannot be determined by dimensional analysis only. It may at most be written that a prop b if a and b are of the same dimension. Time period (T) of oscillation of a liquid drop depends on its radius r the density rho and the surface tension sigma of the liquid. Then T is proportional to

If two physical quantities a and b are related by the equation a= kb where k is dimensionless constant, then the principle of dimensional homogeneity demands that a and b have the same dimension. However the proportionality constant k cannot be determined by dimensional analysis only. It may at most be written that a prop b if a and b are of the same dimension. A coil of inductance L stores an amount of energy (1)/(2)Ll^(2) when a current I passes through it. The dimension of L is

It two physical quantities a and b are related by the equation a= kb where k is dimensionless constant, then the principle of dimensional homogeneity demands that a and b have the same dimension. However the proportionality constant k cannot be determined by dimensional analysis only. It may at most be written that a prop b if a and b are of the same dimension. If a particle of mass m executes simple harmonic motion with amplitude A and frequency f, then its energy is proportional to

While deriving the relationship between physical quantities by dimensional analysis, dimensionless constant enters into the relationship. Can you find its magnitude by the method of dimensions?

Even if a physical quantity depends upon three quantities, out of which two ae dimensionally same, then the formula cannot be derived by the method of dimensions. This statement

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.