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

When a piece of metal floats in mercury at T^@C , a fraction f_1 of its volume is submerged. If their temperature is increased by Delta T ""^@C , fraction f_2 of metal piece is seen to be submerged. If the coefficients of volume expansion of the metal and the mercury are gamma_1 and gamma_2 , respectively, then the ratio f_1//f_2 is

The value of coefficient of volume expansion of glycerin is 5xx10^(4)K^(-1) . The fractional change in temperature is :

A wooden cylindrical block floats vertically with 70% of its volume immersed in a liquid at 0^@C . When temperature increases to 70^@C , the block sinks in the liquid. The coefficient of cubical expansion of liquid in K^(-1) is

The coefficient of volume expansion of a liquid is gamma and its density at 0^(@)C is rho . If the temperature is increased to t^(@)C then the change in density will be

The coefficient of volume expansion of glycerin is 49xx10^(-5)K^(-1) . What is the fractional change in its density for a 30^(@)C rise in temperature ?