JEE (Advanced) 2007 Paper-1
Chemical reactions involve interaction of atoms and molecules. A large number of atoms/molecules (approximately $$6.023 \times 10^{23}$$) are present in a few grams of any chemical compound varying with their atomic/molecular masses. To handle such large numbers conveniently, the mole concept was introduced. This concept has implications in diverse areas such as analytical chemistry, biochemistry, electrochemistry and radiochemistry. The following exampleillustrates a typical case, involving chemical/electrochemical reaction, which requires a clear understanding of the mole concept.
A 4.0 molar aqueous solution of NaCl is prepared and 500 mLofthis solution is electrolysed. This leads to the evolution of chlorine gas at one of the electrodes
(atomic mass : Na = 23, Hg = 200; 1 Faraday = 96500 coulombs).
For the following questions answer them individually
Match the complexes in Column I with their properties listed in Column II. Indicate your answer by darkening the appropriate bubbles of the $$4 \times 4$$ matrix given in the ORS.
789
456
123
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Clear All
Match the chemical substances in Column I with type of polymers/type of bonds in Column II. Indicate your answer by darkening the appropriate bubbles of the $$4 \times 4$$ matrix given in the ORS.
789
456
123
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Clear All
Match gases under specified conditions listed in Column I with their properties/laws in Column II. Indicate your answer by darkening the appropriate bubbles of the $$4 \times 4$$ matrix given in the ORS.
789
456
123
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Clear All
Let $$\alpha, \beta$$ be the roots of the equation $$x^2 - px + r = 0$$ and $$\frac{\alpha}{2}, 2 \beta$$ be the roots of the equation $$x^2 - qx + r = 0$$. Then the value of r is
Let f(x) be differentiable on the interval $$(0, \infty)$$ suh that f(1) = 1, and $$\lim_{t \rightarrow x}\frac{t^2 f(x) - x^2f(t)}{t-x} = 1$$ for each x > 0. Then f(x) is
One Indian and four American men and their wives are to be seated randomly around a circular table. Then the conditional probability that the Indian man is seated adjacent to his wife given that each American manis seated adjacent to his wife is
The tangent to the curve $$y = e^x$$ drawn at the point $$\left(c, e^c\right)$$ intersects the line joining the points $$\left(c-1, e^{c-1}\right)$$ and $$\left(c+1, e^{c+1}\right)$$
$$\lim_{x \rightarrow \frac{\pi}{4}}\frac{\int_{2}^{\sec^2 x}f(t)dt }{x^2 - \frac{\pi^2}{16}}$$ equals
A hyperbola, having the transverse axis of length $$2 \sin \theta$$, is confocal with the ellipse $$3x^2 + 4y^2 = 12$$. Then its equation is
