IIT-JEE 2005
Paper was held on Mon, Apr 11, 2005 9:00 AM
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## Chemistry

Find the velocity (ms-1) of electron in first Bohr's orbit of radius a0. Also find the de Broglie's wavelength (in m).
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(a). For the reaction Ag+ (aq) + Cl- (aq) $$\leftrightharpoons$$ AgCl (s) Given: .tg {border-collapse:collapse;border
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At constant temperature and volume, X decomposes as 2X(g) $$\to$$ 3Y(g) + 2Z(g); Px is the partial pressure of X. .tg
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## Mathematics

If one the vertices of the square circumscribing the circle $$\left| {z - 1} \right| = \sqrt 2 \,is\,2 + \sqrt {3\,} \,i View Question Find the range of values of$$\,t$$for which$$$2\,\sin \,t = {{1 - 2x + 5{x^2}} \over {3{x^2} - 2x - 1}},\,\,\,\,\,t\, View Question If total number of runs scored in n matches is $$\left( {{{n + 1} \over 4}} \right)\,\,({2^{n + 1}} - n - 2)\,$$ where$
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The area of the triangle formed by intersection of a line parallel to $$x$$-axis and passing through $$P (h, k)$$ with t
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Circles with radii 3, 4 and 5 touch each other externally. It P is the point of intersection of tangents to these circle
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Tangents are drawn from any point on the hyperbola $${{{x^2}} \over 9} - {{{y^2}} \over 4} = 1$$ to the circle $${x^2} + View Question Find the equation of the common tangent in$${1^{st}}$$quadrant to the circle$${x^2} + {y^2} = 16$$and the ellipse$$
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In an equilateral triangle, $$3$$ coins of radii $$1$$ unit each are kept so that they touch each other and also the si
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If $$\left| {f\left( {{x_1}} \right) - f\left( {{x_2}} \right)} \right| &lt; {\left( {{x_1} - {x_2}} \right)^2},$$ for
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If $$p(x)$$ be a polynomial of degree $$3$$ satisfying $$p(-1)=10, p(1)=-6$$ and $$p(x)$$ has maxima at $$x=-1$$ and $$p View Question Evaluate$$\,\int\limits_0^\pi {{e^{\left| {\cos x} \right|}}} \left( {2\sin \left( {{1 \over 2}\cos x} \right) + 3\cos
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Find the area bounded by the curves $${x^2} = y,{x^2} = - y$$ and $${y^2} = 4x - 3.$$
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$$f(x)$$ is a differentiable function and $$g(x)$$ is a double differentiable function such that $$\left| {f\left( x \r View Question If$$\left[ {\matrix{ {4{a^2}} &amp; {4a} &amp; 1 \cr {4{b^2}} &amp; {4b} &amp; 1 \cr {4{c^2}} &amp; {4c}
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If length of tangent at any point on the curve $$y=f(x)$$ intecepted between the point and the $$x$$-axis is length $$1. View Question A person goes to office either by car, scooter, bus or train, the probability of which being$${1 \over 7},{3 \over 7},{
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Find the equation of the plane containing the line $$2x-y+z-3=0,3x+y+z=5$$ and at a distance of $${1 \over {\sqrt 6 }}$$
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If the incident ray on a surface is along the unit vector $$\widehat v\,\,,$$ the reflected ray is along the unit vector
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## Physics

The side of a cube is measured by vernier callipers (10 divisions of a vernier scale coincide with 9 divisions of main s
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