Passage - II : Liquids do not have definite shape and size, they are taken in a vessel. Their expansion (or) contraction takes place with respect to the container in which they arc considered. The volume coefficient of expansion relative to the vessel is termed as coefficient of apparent expansion ( gamma_(a) ) and the volume coefficient of expansion of the liquid is termed as absolute ( gamma_(R) "or" gamma_(L ) ). In some of the arrangements mentioned as per the instructions. solve the problems. A metallic scale reads correct values at 0°C. It registers the height of liquid in the vessel (cylindrical shape) at 0°C as h_0. If gamma_( C), gamma_( L) are the coefficients of cubical expansion of metallic scale and liquid respectively and alpha_(S) is the coefficient of linear expansion of the material of the cylindrical vessel made of material different to that of the scale, then the scale reading. Registering the height of the liquid in the vessel as function of temperature ( theta ) of the surroundings is