Home
Class 11
PHYSICS
When a block of iron floats in mercury a...

When a block of iron floats in mercury at `0^@C`, fraction `k_(1)` of its volume is submerged, while at the temperature `60^@C`, a fraction `k_(2)` is seen to be submerged. If the coefficient of volume expansion of iron is `gamma_(Fe)` and that of mercury is `Mg`, then the ratio `k_(1)//k_(2)` can be expressed as
(This problem is mixed concept of heat mechanics)

A

`( 1+ 60 gamma_(Fe))/( 1+ 60 gamma_(Hg))`

B

`( 1- 60 gamma_(Fe))/( 1+ 60 gamma_(Hg))`

C

`( 1+ 60 gamma_(Fe))/( 1-60 gamma_(Hg))`

D

`( 1+ 60 gamma_(Hg))/( 1+ 60 gamma_(Fe))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

When a block of iron in mercury at 0^@C, fraction K_1 of its volume is submerged, while at the temperature 60^@C, a fraction K_2 is seen to be submerged. If the coefficient of volume expansion of iron is gamma_(Fe) and that of mercury is gamma_(Hg), then the ratio (K_1)//(K_2) can be expressed as

Determine the lengths of an iron rod and copper ruler at 0^@ C if the difference in their lengths at 50^@ C and 450^@ C is the same and is equal to 2 cm. the coefficient of linear expansion of iron =12xx10^(-6)//K and that of copper =17xx10^(-6)//K .

Determine the lengths of an iron rod and copper ruler at 0^@ C if the difference in their lengths at 50^@ C and 450^@ C is the same and is equal to 2 cm. the coefficient of linear expansion of iron =12xx10^(-6)//K and that of copper =17xx10^(-6)//K .

A glass bulb contains air and mercury. What fraction of the bulb must be occupied by mercury if the volume of air in the bulb is to remain constant at all temperatures? The coefficent of linear expansion of glass is 9xx10^(-6)//K .

The coefficient of volume expansion of a liquid is 4.9xx10^(-4)K^(-1) . Calculate the fractional change in its density when the temperature is raised by 30^(@)C .

A cube is floating on mercury with (1//5)^(th) of its volume submerged. If suficient water Is added to cover the cube, what fraction of its volume will remain immersed in mercury ? Density of mercury = 13600 kg//m^(3) .

The value of coefficient of volume expansion of glycerin is 5 xx 10^(-4) K^(-1) . The fractional change in the density of glycerin for a rise of 40^(@)C in its temperature is

At 4^(@)C, 0.98 of the volume of a body is immersed in water. The temperature at which the entire body gets immersed in water is (neglect the expansion of the body ) ( gamma_(w) = 3.3 xx10 ^(-4)K^(-1) ):-

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

A non-conductiong body floats in a liquid at 25^(@)C with 1//3 of its volume immersed in the liquid. When liquid temperature is increased to 105^(@)C, 1//2 of body's volume is immersed is the liquid. Then, find the coefficient of real expansion of the liqquid (neglecting the expansion of container of the liquid) .