Two cylinders of same cross-section and length L but made of two different materials of densities `d_(1)` and `d_(2)` are cemented together to from a cylinder of length 2L. The combination floats in a liquid of density `d " " d_(1) lt d_(2)` then

If equal masses of two liquids of densities d_(1) and d_(2) are mixed together, the density of the mixture is

A cylindrical block of length 2l is made of two different materials. The uppwer half has density d_(1) and and lower half, which is heavier, has density d_(2) the block is floating in a liquid of unknown density d with (l)/(2) of its length outside the liquid. (a) Find d (b) Show that dgt(4d_(1))/(3)

Weight of a body on the surfaces of two planets is the same. If their densities are d_(1) and d_(2) , then ratio of their radii is

Two disc have same mass and thickness. Their materials have densities d_(1) and d_(2) . The ratio of their moment of inertia about central axis will be

Two lenses of power +12 D and -2 D are combined together. What is their equivalent focal length ?

Two lenses of powers -1.5 D and +2.75D are kept in contact. Find the focal length of the combination.

two cylinders A and B are of the same dimensions but of different materials. A alone flots in a liquid with half of its length immersed. When B is placed over A , the combination just floats in the same liquid . Compare the densities of the two cylinders A and B.

Two planets have radii r_(1) and r_(2) and densities d_(1) and d_(2) respectively. Then the ratio of acceleration due to gravity on them is