How is the upthrust related to the volume of the body submerged in a liquid?

A solid body floats in a liquid at a temperature t = 50^@ C being completely submerged in it. What percentage of the volume of the body is submerged in the liquid after it is cooled to t_0 = 0^@ C , if the coefficient of cubic expansion for the solid is gamma_s = 0.3 xx 10^-5 .^@ C^-1 and of the liquid gamma_l = 8 xx 10^-5 .^@ C^-1 .

How is mole related to the volume of a gaseous substance ?

How is force related to the momentum of a body?

A body is volume 100cm^(3) weighs 5 kgf in air. It is completely immersed in a liquid of density 1.8xx10^(3)kgm^(-3) . Find (i) the upthrust due to liquid and (ii) the weight of the body in liquid.

A solid of density D is floating in a liquid of density d. If upsilon is the volume of solid submerged in the liquid and V is the total volume of the solid, then upsilon//V equal to

A solid whose volume does not change with temperature floats in a liquid. For two different temperatures t_1 and t_2 of the liqiud, fraction f_1 and f_2 of the volume of the solid remain submerged in the liquid. The coefficient of volume expansion of the liquid is equal to

Assertion : A solid sphere and a hollow sphere both of same material are immersed in a liquid , then change in weight in both the spheres will be same. Reason : Upthrust depends upon the volume of the solid immersed not the mass.

Solids and liquids both expands on heating. The density of substance decreases on expanding according to the relation rho_(2) = (rho_(1))/(1 + gamma(T_(2)- T_(1))) , where , rho_(1) rarr "density at" T_(1) , rho_(2) rarr "density at" T_(2) , gamma rarr coefficient of volume expansion of substances. When a solid is submerged in a liquid , liquid exerts an upward force on solid which is equal to the weight of liquid displaced by submerged part of solid. Solid will float or sink depends on relative densities of solid and liquid . A cubical block of solid floats in a liquid with half ot its volume submerged in liquid as shown in figure (at temperature T ) alpha_(S) rarr Coefficient of linear expansion of solid gamma_(L) rarr "Coefficient of volume expansion of liquid" rho_(S) rarr "Density of solid at temperature" T rho_(L) rarr" Density of liquid at temperature" T Imagine the depth of the block submerged in the liquid ,does not change on increasing temperature then

Iceberg floats in water with part of it submerged. What is the fraction of the volume of iceberg submerged if the density of ice is rho_i = 0.917 g cm^(-3) ?

Assertion : If water is filled in a balloon and this is immersed in water itself. Then volume of water displaced is equal to the volume of water filled in the ballon. Reason : Volume of a liquid displaced is equal to the volume of solid immersed in that liquid.