IIT-JEE 2004
Paper was held on Sun, Apr 11, 2004 9:00 AM
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## Chemistry

(a) The Schrodinger wave equation for hydrogen atom is $$\psi = {1 \over {4\sqrt {2\pi } }}{\left( {{1 \over {{a_0}}}} View Question A ball of mass 100 g is moving with 100 ms-1. Find it's wavelength. View Question Arrange the following : In the decreasing order of the O - O bond length present in them O2, KO2 and O2[AsF4] View Question Draw the structure of XeF4 and OSF4 according to VSEPR theory clearly indicating the state of hybridisation of the centr View Question A compound AB has rock salt type structure. The formula weight of AB is 6.023 Y amu, and the closest A - B distance is Y View Question 1.22 g of benzoic acid is dissolved in 100 g of acetone and 100 g of benzene separately. Boiling point of the solution i View Question Find the equilibrium constant for the reaction, In2+ + Cu2+$$\to$$In3+ + Cu+ at 298 K given$$E_{C{u^{2 + }}/C{u^ + }}
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For the given reactions, A + B $$\to$$ Products, following data were obtained .tg {border-collapse:collapse;border-sp
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## Mathematics

Find the centre and radius of circle given by $$\,\left| {{{z - \alpha } \over {z - \beta }}} \right| = k,k \ne 1\,$$
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If $$a,\,b,c$$ are positive real numbers. Then prove that $${\left( {a + 1} \right)^7}{\left( {b + 1} \right)^7}{\left View Question Prove by permulation or otherwise$${{({n^2})!} \over {{{(n!)}^n}}}$$is an integer$$(n \in {1^ + })$$. View Question Find the equation of circle touching the line 2x + 3y + 1 = 0 at (1, -1) and cutting orthogonally the circle having line View Question Tangent is drawn to parabola$${y^2} - 2y - 4x + 5 = 0$$at a point$$P$$which cuts the directrix at the point$$Q$$.  View Question Using Rolle's theorem, prove that there is at least one root in$$\left( {{{45}^{1/100}},46} \right)$$of the polynomia View Question Prove that for$$x \in \left[ {0,{\pi \over 2}} \right],\sin x + 2x \ge {{3x\left( {x + 1} \right)} \over \pi }$$. View Question If$$y\left( x \right) = \int\limits_{{x^2}/16}^{{x^2}} {{{\cos x\cos \sqrt \theta } \over {1 + {{\sin }^2}\sqrt \theta
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Find the value of $$\int\limits_{ - \pi /3}^{\pi /3} {{{\pi + 4{x^3}} \over {2 - \cos \left( {\left| x \right| + {\pi View Question A curve$$'C''$$passes through$$(2,0)$$and the slope at$$(x,y|)$$as$$\,{{{{\left( {x + 1} \right)}^2} + \left( {y
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$$A$$ and $$B$$ are two independent events. $$C$$ is even in which exactly one of $$A$$ or $$B$$ occurs. Prove that $$P\ View Question A box contains$$12$$red and$$6$$white balls. Balls are drawn from the box one at a time without replacement. If in  View Question A parallelopiped$$'S'$$has base points$$A, B, C$$and$$D$$and upper face points$$A',B',C'$$and$$D'.$$View Question Find the equation of plane passing through$$(1, 1, 1)$$&amp; parallel to the lines$${L_1},{L_2}$$having direction ra View Question If$$\overrightarrow a ,\overrightarrow b ,\overrightarrow c $$and$$\overrightarrow d $$are distinct vectors such tha View Question$${P_1}$$and$${P_2}$$are planes passing through origin.$${L_1}$$and$${L_2}$$are two line on$${P_1}$$and$${P_2}
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## Physics

In Searle's experiment, which is used to find Young's Modulus of elasticity, the diameter of experimental wire is D = 0.
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A screw gauge having 100 equal divisions and a pitch of length 1 mm is used to measure the diameter of a wire of length
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