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A solid is suspended in a liquid. If the...

A solid is suspended in a liquid. If the liquid is heated, the solid (assume the solid expansion is negligible)

A

floats

B

sinks

C

no change

D

nothing can be said

Text Solution

Verified by Experts

The correct Answer is:
B
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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 Assume block does not expand on heating . The temperature at which the block just begins to sink in liquid is

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 The relation between densities of solid and liquid at temperature T is

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 If temperature of system increases, then fraction of solid submerged in liquid

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

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 fraction submerged does not change on increasing temperature the relation between gamma_(L) and alpha_(S) is