Refractive index of glass is 1.5. Find the wavelength of a beam of light with a frequency of 1014 Hz in glass. Assume velocity of light is 3 x 108 m/sec in vacuum. ?->(Show Answer!)

1. Refractive index of glass is 1.5. Find the wavelength of a beam of light with a frequency of 1014 Hz in glass. Assume velocity of light is 3 x 108 m/sec in vacuum.

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MCQ-> Read the following passage to answer the given questions based on it. Some words/ phrases are printed in bold to help you locate them while answering some of the questions. India’s manufacturing growth fell to its lowest in more than two years in September, 2011, reinforcing fears that an extended period of high policy rates is hurting growth, according to a closely watched index. The HSBC India Purchasing Managers’ Index (PMI), based on a survey of over 500 companies, fell to 50.4 from 52.6 in August and 53.6 in July. It was the lowest since March 2009. when the reading was below 50. indicating contraction. September’s index also recorded the biggest one-month fall since November 2008. The sub index for new orders. which reflects future output, declined for the sixtli successive month, while xport orders full for it Liar(‘ month on the back of weakness in global economy. The Reserve Bank of India (RBI) last week indicated it was not done yet with monetary policy tightening as inflation was still high. The bank has already raised rates 12 times since March 2010 to tame inflation, which is at a 13-month high of 9.78%. Economists expect the RBI to raise rates one more time but warn that targeted growth will be hard to achieve if the slump continues. “This• (fall in PMI) was driven by weaker orders. with export orders still contracting due to the weaker global economic conditions.- HSBC said in a press release quoting its chief economist for India &ASEAN.; PMI is considered a fairly good indicator of manufacturing activity the world over. but in case of India, the large contribution of the unorganised sector yields a low correlation with industrial growth. However, the Index for Industrial Production (IIP) has been showing a weakening trend. having slipped to a 21- month low of 3.3 % in July. The core sector. which consists of eight infrastructure industries and has a combined weight of 37.9% in the IIP. also grew at only 3.5% in August. The PMI data is in line with the suffering manufacturing activity in India as per other estimates. Producers are seeing that demand conditions are softening and the outlook is uncertain, therefore they are producing less. Employment in the manufacturing sector declined for the second consecutive month, indicating it too was under pressure. This could be attributed to lower requirement of staff and rise in resignations as higher wage requests go unfulfilled, the HSBC statement said. On the inflation front, input prices rose at an 11 -month low rate, but despite signs of softening, they still remain at historically high levels. While decelerating slightly, the readings for input and output prices suggest that inflation pressures remain firmly in place. Most economists feel the RBI is close to the end of its rate hike cycle. Even the weekly Wholesale Price Index (WPI) estimates have started showing signs of softening. Having fallen more than one percentage point.The PMI is based on surveys of
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MCQ-> Modern science, exclusive of geometry, is a comparatively recent creation and can be said to have originated with Galileo and Newton. Galileo was the first scientist to recognize clearly that the only way to further our understanding of the physical world was to resort to experiment. However obvious Galileo’s contention may appear in the light of our present knowledge, it remains a fact that the Greeks, in spite of their proficiency in geometry, never seem to have realized the importance of experiment. To a certain extent this may be attributed to the crudeness of their instruments of measurement. Still an excuse of this sort can scarcely be put forward when the elementary nature of Galileo’s experiments and observations is recalled. Watching a lamp oscillate in the cathedral of Pisa, dropping bodies from the leaning tower of Pisa, rolling balls down inclined planes, noticing the magnifying effect of water in a spherical glass vase, such was the nature of Galileo’s experiments and observations. As can be seen, they might just as well have been performed by the Greeks. At any rate, it was thanks to such experiments that Galileo discovered the fundamental law of dynamics, according to which the acceleration imparted to a body is proportional to the force acting upon it.The next advance was due to Newton, the greatest scientist of all time if account be taken of his joint contributions to mathematics and physics. As a physicist, he was of course an ardent adherent of the empirical method, but his greatest title to fame lies in another direction. Prior to Newton, mathematics, chiefly in the form of geometry, had been studied as a fine art without any view to its physical applications other than in very trivial cases. But with Newton all the resources of mathematics were turned to advantage in the solution of physical problems. Thenceforth mathematics appeared as an instrument of discovery, the most powerful one known to man, multiplying the power of thought just as in the mechanical domain the lever multiplied our physical action. It is this application of mathematics to the solution of physical problems, this combination of two separate fields of investigation, which constitutes the essential characteristic of the Newtonian method. Thus problems of physics were metamorphosed into problems of mathematics.But in Newton’s day the mathematical instrument was still in a very backward state of development. In this field again Newton showed the mark of genius by inventing the integral calculus. As a result of this remarkable discovery, problems, which would have baffled Archimedes, were solved with ease. We know that in Newton’s hands this new departure in scientific method led to the discovery of the law of gravitation. But here again the real significance of Newton’s achievement lay not so much in the exact quantitative formulation of the law of attraction, as in his having established the presence of law and order at least in one important realm of nature, namely, in the motions of heavenly bodies. Nature thus exhibited rationality and was not mere blind chaos and uncertainty. To be sure, Newton’s investigations had been concerned with but a small group of natural phenomena, but it appeared unlikely that this mathematical law and order should turn out to be restricted to certain special phenomena; and the feeling was general that all the physical processes of nature would prove to be unfolding themselves according to rigorous mathematical laws.When Einstein, in 1905, published his celebrated paper on the electrodynamics of moving bodies, he remarked that the difficulties, which surrouned the equations of electrodynamics, together with the negative experiments of Michelson and others, would be obviated if we extended the validity of the Newtonian principle of the relativity of Galilean motion, which applies solely to mechanical phenomena, so as to include all manner of phenomena: electrodynamics, optical etc. When extended in this way the Newtonian principle of relativity became Einstein’s special principle of relativity. Its significance lay in its assertion that absolute Galilean motion or absolute velocity must ever escape all experimental detection. Henceforth absolute velocity should be conceived of as physically meaningless, not only in the particular ream of mechanics, as in Newton’s day, but in the entire realm of physical phenomena. Einstein’s special principle, by adding increased emphasis to this relativity of velocity, making absolute velocity metaphysically meaningless, created a still more profound distinction between velocity and accelerated or rotational motion. This latter type of motion remained absolute and real as before. It is most important to understand this point and to realize that Einstein’s special principle is merely an extension of the validity of the classical Newtonian principle to all classes of phenomena.According to the author, why did the Greeks NOT conduct experiments to understand the physical world?
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