Using the principle .of homogeneity of dimensions find which of the following is correct
`T^2=4pi^2r^3`

When white light travels through glass the refractive index mu=(velocity of light in air/velocity of light in glass) is found to very with waveless as mu=A+B/lambda^2 where A and B are constants. Using the principle of homogeneity of dimensions, determine the SI unit in which A and B must be expressed.

Find the principle argument of (2i)/(1-i)

Find the principle solution of cos x=-2 .

Prove any of the following 2 sin^2(pi/6)+cosec^2(7pi/6)cos^2(pi/3)=3/2

Find the principal value of cos^(-1)[cos ((4pi)/(3))]

Find the product of the following. (a^2+4b^2+2ab-3a+6b+9)(a-2b+3)

Prove any one of the following: cos^2A+cos^2(A+pi/3)+cos^2(A-pi/3)=3/2

Find the nth terms of the following sequences. 1/2,2/3,3/4,4/5 ,…..

Using principal value evaluate the following: cos^-1(cos(frac{2pi}{3}))