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## IIT-JEE 2004

Exam Held on Sun Apr 11 2004 09:00:00 GMT+0000 (Coordinated Universal Time)
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(a) The Schrodinger wave equation for hydrogen atom is<br><br> $$\psi = {1 \ov... A ball of mass 100 g is moving with 100 ms<sup>-1</sup>. Find it's wavelength. Arrange the following :<br><br> In the decreasing order of the O - O bond length... Draw the structure of XeF4 and OSF4 according to VSEPR theory clearly indicating... A compound AB has rock salt type structure. The formula weight of AB is 6.023 Y ... 1.22 g of benzoic acid is dissolved in 100 g of acetone and 100 g of benzene sep... Find the equilibrium constant for the reaction,<br> In<sup>2+</sup> + Cu<sup>2+<... For the given reactions, A + B$$\to$$Products, following data were obtained<br... ## Mathematics Find the centre and radius of circle given by$$\,\left| {{{z - \alpha } \over ...
If $$a,\,b,c$$ are positive real numbers. Then prove that $${\left( {a + 1} \r... Prove by permulation or otherwise$${{({n^2})!} \over {{{(n!)}^n}}}$$is an inte... Find the equation of circle touching the line 2x + 3y + 1 = 0 at (1, -1) and cut... Tangent is drawn to parabola$${y^2} - 2y - 4x + 5 = 0$$at a point$$P$$which ... Using Rolle's theorem, prove that there is at least one root <br>in$$\left( {{...
Prove that for $$x \in \left[ {0,{\pi \over 2}} \right],$$ $$\sin x + 2x \ge {{... If$$y\left( x \right) = \int\limits_{{x^2}/16}^{{x^2}} {{{\cos x\cos \sqrt \the...
Find the value of $$\int\limits_{ - \pi /3}^{\pi /3} {{{\pi + 4{x^3}} \over {2 ... A curve$$'C''$$passes through$$(2,0)$$and the slope at$$(x,y|)$$as$$\,{{{...
$$A$$ and $$B$$ are two independent events. $$C$$ is even in which exactly one o...
A box contains $$12$$ red and $$6$$ white balls. Balls are drawn from the box on...
A parallelopiped $$'S'$$ has base points $$A, B, C$$ and $$D$$ and upper face po...
Find the equation of plane passing through $$(1, 1, 1)$$ &amp; parallel to the l...
If $$\overrightarrow a ,\overrightarrow b ,\overrightarrow c$$ and $$\overright...$${P_1}$$and$${P_2}$$are planes passing through origin.$${L_1}$$and$${L_2}...

## Physics

In Searle's experiment, which is used to find Young's Modulus of elasticity, the...
A screw gauge having 100 equal divisions and a pitch of length 1 mm is used to m...

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