3^rd World Chemistry Conference

Biography

Biography: Ajay Sharma

Abstract

The consistency of mathematical equation requires if values of (n-1) variables are given then the value of n^th variable can be calculated. The value of n^th variable must turn out definite and logical, otherwise, there is serious mathematical inconsistency in the law or equation it is based. The predictions of the equation are experimentally checked for final confirmation. Under some feasible conditions from Archimedes principle in case of completely submerged balloons, the n^th variable is not determined if (n-1) variables are given. Under these conditions, for example, the density of material filled inside the balloon (and that of the sheath) is equal to the density of the fluid (say water) in which balloon floats is the same. Under these conditions, the density of the medium (D_m), the volume of the sheath, density of sheath etc. are correctly determined mathematically. But the volume of material filled in the sheath comes out be indeterminate i.e. V =0/0. Thus the principle is generalized i.e. upthrust is proportional to the weight of fluid displaced (U=fVDg). Then repeating the same calculations with identical values of parameters, then exact value of volume filled inside the balloon i.e. V=V is obtained. Thus the generalized form is theoretically justified. Further analysis finds that the where f is the coefficient of proportionality accounts for the shape of body, the viscosity of the medium, the magnitude of medium and body or particle, nature of interactions, surface tension, and other relevant elusive effects etc. Archimedes principle excludes these values. Some specific experiments are suggested to experimentally measure the value of f. Such specific and diverse experiments have not been conducted in the existing literature, which is novelty and significance of the experiments. These experiments have nobility as never reported in the literature; nonetheless, the principle is 2267 years old. The contradictory results from Archimedes principle have been found in ultracentrifugation experiments involving nanoparticles.