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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 map shows the elevations of Darjeeling, Gangtok, Kalimpong, Pelling, and Siliguri. Kalimpong is at a lower elevation than Gangtok, Pelling is at a lower elevation than Gangtok. Pelling is at a higher elevation than Siliguri. Darjeeling is at a higher elevation than Gangtok. Which of the following statements can be inferred from the paragraph above? i. Pelling is at a higher elevation than Kalimpong ii. Kalimpong is at a lower elevation than Darjeeling iii. Kalimpong is at a higher elevation than Siliguri iv. Siliguri is at a lower elevation than Gangtok
“What is the different between height and radius of solid cylinder?” Which of the following option is sufficient alone to find the answer? A) A solid cylinder is made by melting a solid sphere. The radius of cylinder is 3 times the radius of a circle whose area is 154 sq.m. Height of cylinder is equal to the height of cone whose volume is 2772 cubic meters. B) Area of a rectangle whose longer side is ¾ times the radius of a solid cylinder, is 168 sq.m and, Volume of solid cylinder is 2772 cubic meters and its height is 18 m. C) A metallic cone of radius 15m and height 35m is melted into the solid cylinder of radius equal to the radius of a circle whose area is equal to the area of rectangle whose sides are in the ratio 4 : 3 respectively. D) The curved surface area of the solid cylinder is 3 time the surface area of a sphere of radius 7m and height of cylinder is equal to the height of a metallic cone whose curved surface area is 308 sq.m. 
Seven boys are living in different buildings at a different height. Abir, Ayush, Anand, Ajay, Alok, Nakul and Nandu. Ayush is living on a higher floor than Nakul and Abir. Abir lives on a higher floor than Nakul and Alok is on the lowest floor. Nandu lives in a lower height than Ayush but higher than Abir and Nakul. Ajay is the one who lives lower than Nakul. Anand lives on a higher floor than Ayush.  Find whose building is the highest one?
A liquid solid mixture with 10% solid and 90% liquid is input to a dryer, some of the liquid evaporated and the product contains 60% solid and 40% liquid, what is the ratio of an amount of water evaporated and amount of input?
There are six students P, Q, R, S, T and U in class who scored some marks in their final examination. I. P is the second-lowest among all. II. Q is neither top nor least ranked among all but a higher rank than S. III. R's rank is higher than U but lower than T while U scores lower than P. IV. S is lower than T but higher than R. Who is ranked 3rd last in the class?
Consider the following pairs. S. No. Dispersed Phase Dispersing Medium Type 1. Liquid Gas Aerosol 2. Gas Liquid Foam 3. Liquid Liquid Emulsion 4. Liquid Solid Solid Sol   Which are the correct pairs?
What is the enthalpy change of a reaction at 45oC, if the enthalpy of reactant at 45oC and 25oC are 10 J and 6 J, and enthalpy of product at 45oC and 25oC are 15 J and 8 J, and the enthalpy change of reaction at 25oC is 10 J?
What is the enthalpy change of a reaction at 35oC, if the enthalpy of reactant at 35oC and 25oC are 18 J and 10 J, and enthalpy of product at 35oC and 25oC are 12 J and 8 J, and the enthalpy change of reaction at 25oC is 15 J?
What is the enthalpy change of a reaction at 35oC, if the enthalpy of reactant at 35oC and 25oC are 22 J and 15 J, and enthalpy of product at 35oC and 25oC are 10 J and 5 J, and the enthalpy change of reaction at 25oC is 36 J?