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0004-0039 opening and closing ranks for CS in IIT bombayand 0005-0029 for IIT delhi
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In optics, Fermat's principle or the principle of least time is the principle that the path taken between two points by a ray of light is the path that can be traversed in the least time. This principle is sometimes taken as the definition of a ray of light.[1] However, this version of the principle is not general; a more modern statement of the principle is that rays of light traverse the path of stationary, not minimal, time.Fermat's principle can be used to describe the properties of light rays reflected off mirrors, refracted through different media, or undergoing total internal reflection. It can be deduced from Huygens' principle, and can be used to derive Snell's law of refraction and the law of reflection.

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0605-1117 were the opening and closing ranks for aerospace eng.bombay
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ya i have downloaded it...it contains only the first seven chapters and not the whole book
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the answer is A and C the tangents are parallel so the distance b/w them is = diameter of the circleand the centre lies on the line which is equidistant from the tangents.
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the ring has seven carbon with three triple bonds and becomes aromatic after the formation of carbocation

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source : wikipedia

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the answer is 4m/s@harsh u have written a=dv/dx which is wrong a= vdv/dx
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the answer is d..contact force here means the resultant of normal reaction and frictionforce
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no X rays are not deflected by electric field because they are made of photons..only rays composed of charged particles (like cathode rays and anode rays) are deflected by electric and magnetic field..
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i think the process shud be isobaric
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it is a non integrable function
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according to huckel rule for a compund to be aromatic it shud have 4n + 2 pie electrons where n is a natural number
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see in the second problem apply PV=nRT P=mRT/MV where m is the mass of the organic compound and M is the molecular mass of the compound and m/V = density so PM=pRT where p is the density from here u will get the value of M an d it comes out to be 56 then x/56 * 100 =14.3 where x is the mass of hydrogen in the compound x comes out to be 8 so 48g will the mass of cabon...therefore no. of carbon atoms = 4 and no. of hydrogen atoms=8 the formula of the compound is C4H8
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a=4 and b=3
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