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Consider a given volume of liquid at a temperature T below Tm with a free energy G’. If some of the atoms of the liquid cluster together to form a small sphere of solid, the free energy of the system will change to G, given by________ (Assume V1 volume of the solid sphere, V2 volume of liquid, A is the solid/liquid interfacial area, γ solid/liquid interface free energy, G1 and G2 are the free energies per unit volume of solid and liquid respectively).
A database of research articles in a journal uses the following schema. (VOLUME, NUMBER, STARTPAGE, ENDPAGE, TITLE, YEAR, PRICE) The primary key is (VOLUME, NUMBER, STARTPAGE, ENDPAGE) and the following functional dependencies exist in the schema. (VOLUME, NUMBER, STARTPAGE, ENDPAGE) → TITLE (VOLUME, NUMBER) → YEAR (VOLUME, NUMBER, STARTPAGE, ENDPAGE) → PRICE The database is redesigned to use the following schemas. (VOLUME, NUMBER, STARTPAGE, ENDPAGE, TITLE, PRICE) (VOLUME, NUMBER, YEAR) Which is the weakest normal form that the new database satisfies, but the old one does not?  
Given that both liquid A and liquid B exert the same amount of pressure, what would be the height of column of liquid A if the density of liquid A is twice the density of liquid B and the height of column of liquid B is 10 cm?
Pressure varies inversely with respect to volume and temperature varies directly with respect to volume. At a point, volume is 40 m3, temperature is 20 K, and pressure is 2 atm. If the volume is increased to 400 m3, while the pressure is constant, then what will be the resultant temperature?
Mixture A and Mixture B contain consist of 40 liters and 60 liters of mixtures of liquids X and Y in different proportions. Quantity of liquid X in mixture A is 10 liter less than the quantity of liquid X in mixture B. The total quantity of liquid Y in both the mixtures is 40 liters. If 30% of liquid is taken from mixture A and put into mixture B, then what will be the ratio of liquid X to liquid Y in mixture B?
A bottle contains 20 litres of liquid A. 4 litres of liquid A is taken out of it and replaced by same quantity of liquid B. Again 4 litres of the mixture is taken out and replaced by same quantity of liquid B. What is the ratio of quantity of liquid A to that of liquid B in the final mixture? 
A mixture contains liquid A and liquid B in the ratio of 5 : 4. If 2 litres of liquid B is added to it, then the ratio of liquid A and liquid B becomes 7 : 6. What is the quantity (in litres) of liquid A in the mixture?
A mixture contains liquid A and liquid B in the ratio of 5 : 4. If 2 litres of liquid B is added to it, then the ratio of liquid A and liquid B becomes 7 : 6. What is the quantity (in litres) of liquid A in the mixture?
Consider the following statements: 1. When a soil sample is dried beyond its shrinkage limit, the volume of the soil slowly decrease 2. The plastic limit is always lower than the liquid limit for any type of soil 3. At the liquid limit, the soil behaves like a liquid and possesses no shear strength at all 4. When subjected to drying, the volume of the soil remains unchanged once the water content of the soil goes below its shrinkage limit Which of the above statements are correct? 
A beaker is filled with a liquid of density ρ1 up to a certain height. A is a point, h m downwards from the free surface of the liquid as shown. The liquid is replaced by equal volume of another liquid of density ρ2. If ρ1 > ρ2, how will the pressure at point A change?