Density `rho`, mass m and volume V are related as `rho = m//V`. Prove that
`gamma = - (1)/(rho) (drho)/(dT)`.

The density 'rho' of a piece of metal of mass 'm' and volume 'V' is given by the formula rho = m//V . If m = 375.32 pm 0.01 g , V = 136.41 pm 0.01 cm ^ 3 . Find the percentage error in the measurement of density 'rho' .

When a body of density rho and volume V is floating in a liquid of density sigma

If two bodies of density rho_1 and rho_2 are mixed at same mass, then the density of the mixture will be p = (2rho_1rho_2)/(rho_1+rho_2) . [show that].

A body of density rho floats with a volume V_(1) of its total volume V immersed in one liquid of density rho_(1) and with the remainder of volume V_(2) immersed in another liquid of density rho_(2)," ""where"" "rho_(1)gt rho_(2). Find the relative volumes immersed in two liquids.

A body of density rho floats with a volume V_1 of its total volume V immersed in one liquid of density rho_1 and with the remainder of volume V_2 immersed in antoher liquid of density rho_2 where rho_1> rho_2 . Find the relative volumes immersed int wo liquids.

(i) Prove that the density of the mixture of two substances with densities rho_(1)andrho_(2) of equal mass will be (2rho_(1)rho_(2))/(rho_(1)+rho_(2)) . (ii) Prove that if the two substance with densities rho_(1)andrho_(2) are mixed in equal volumes, then the density of the mixture thus formed will be 1/2(rho_(1)+rho_(2))

A small ball of density rho_(0) is released from the surface of a liquid whose density varies with depth h as rho=(rho_(0))/2(alpha+betah) . Mass of the ball is m. Select the most appropriate one option.

A body of density p floats with a volume V_(s) of its total volume V immersed in one liquid of density rho_(1) and with the remainder of volume V_(2) immersed in another liquid of density rho where. rho_(1) gt rho_(2) find V_(1) and V_(2)

Two substances of densities rho_(1) and rho_(2) are mixed in equal volume and the relative density of mixture is 4 . When they are mixed in equal masses, the relative density of the mixture is 3. the values of rho_(1) and rho_(2) are: