Show that `(dphi)/(dt)` and V have the same dimension.

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. 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

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

Statement I: L/R and CR both have the same dimensions. Statement II: L/R and CR both have the dimension of time.

Statement I: On a body of mass m moving with a speed v in a circular path of radius r the centripetal force is F = ("m"v^(2))/(rg) . Statement II : In a mathematical expression involving physical quantities each term on both sides of the equation must have the same dimension.

For real gases van der Waals equation of state can be expressed as (p+(a)/(V^(2)))(V-b)=RT where p is the pressure V is the molar volume and T is the absolute temperature of the given sample of gas and a,b, and R are constants. Which of the following does not have the same dimension as that of RT?

L,C,R represents the inductance, capacitance and reactance respectively. Which of the following combinations have the same dimensions as that of frequency?

If L,M,N divide the sides BC,CA and AB of a triangle ABC in the same ratio, then show that the traiangle ABC and dLMN have the same centroid.

Which of the following quantities has the same dimension as that of Planck's constant?