Using the principle of homogeneity of dimensions, which of the following is correct?

Using the principle of homogeneity of dimensions, find which of the following relation is correct? [T is the period, a is the redius of the orbit and M is the mass of the sun.

Use principle of homogenity of dimensions to find which one of the following relations is correct : (i) T^2 =4pi^2r^2 (ii) T^2 =(4pi^2r^3)/(G) (iii) T^2 = (4pi^2 r^3)/(GM)

Assertion : The time period of a pendulum is given by the formula, T=2pisqrt(g//l) . Reason : According to the principle of homogeneity of dimensions, only that formula is correct in which the dimensions of L.H.S. is equal to dimensions of R.H.S.

When white light travels through glass, the refractive index of glass ( mu =velocity of light in air/velocity of light in glass) is found to vary with wavelength as mu=A+(B)/(lambda^(2)) . Using the principle of homogeneity of dimensions, Find the SI units in which the constants A and B expressed.

Whether a given relation / formula is correct or not can be checked on the basis of the principle of homogeneity of dimensions. According to this principle, only that formula is correct, in which the dimensions of the various terms on one side of the relation are equal to the respective dimensions of these terms on the other side of the relation. With the help of the compreshension given above, choose the most appropriate alternative for each of the following questions : The distance travelledl by a body in nth second is given by S_(nth) = u + (a)/(2) (2n-1) where u is initial velocity and a is acceleration. The dimensions of S_(nth) are

Whether a given relation / formula is correct or not can be checked on the basis of the principle of homogeneity of dimensions. According to this principle, only that formula is correct, in which the dimensions of the various terms on one side of the relation are equal to the respective dimensions of these terms on the other side of the relation. With the help of the comprehension given above, choose the most appropriate alternative for each of the following questions : In the same equation, the dimensional formula of a is

State the principle of homogeneity of dimensions.Test the dimensional homogeneity of the following equations:- h=h_0 + v_0*t+1/2g*t^2