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## IIT-JEE 2012 Paper 2 Offline

Exam Held on Sun Apr 08 2012 14:00:00 GMT+0000 (Coordinated Universal Time)
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## Chemistry

For a dilute solution containing 2.5 g of a non-volatile non-electrolyte solute ...
The electrochemical cell shown below is a concentration cell. M | M<sup>2+</sup>...
The electrochemical cell shown below is a concentration cell. M | M<sup>2+</sup>...
In the cyanide extraction process of silver from argentite ore, the oxidising an...
<p>The major product H of the given reaction sequence is</p> <p>$$C{H_3} - C{H_2... <p>$$NiC{l_2}{\{ P{({C_2}{H_5})_2}({C_6}{H_5})\} _2}$$exhibits temperature-depe... <p>The reaction of white phosphorous with aqueous NaOH gives phosphine along wit... <p>The shape of XeO<sub>2</sub>F<sub>2</sub> molecule is</p> <p>The compound that undergoes decarboxylation most readily under mild condition... <p>Using the data provided, calculate the multiple bond energy (kJ mol<sup>$$-$$... The compound I is <p>The compound K is</p> <p>Bleaching powder contains a salt of an oxoacid as one of its components. The ... <p>25 mL of household bleach solution was mixed with 30 mL of 0.50 M KI and 10 m... <p>The reversible expansion of an ideal gas under adiabatic and isothermal condi... <p>For the given aqueous reactions, which of the statement(s) is(are) true?</p> ... <p>With reference to the scheme given, which of the given statement(s) about T, ... <p>Which of the given statement(s) about N, O, P and Q with respect to M is(are)... <p>With respect to graphite and diamond, which of the statement(s) given below i... <p>The given graphs/data I, II, III and IV represent general trends observed for... ## Mathematics Let$${{a_n}}$$denote the number of all n-digit positive integers formed by th... Let$${{a_n}}$$denote the number of all n-digit positive integers formed by th... Let$${a_1},{a_2},{a_3},.....$$be in harmonic progression with$${a_1} = 5$$an... A tangent PT is drawn to the circle$${x^2}\, + {y^2} = 4$$at the point P$$\le...
A tangent PT is drawn to the circle $${x^2}\, + {y^2} = 4$$ at the point P $$\le... Let$$PQR$$be a triangle of area$$\Delta $$with$$a=2$$,$$b = {7 \over 2}$$... If$$f\left( x \right) = \int_0^x {{e^{{t^2}}}} \left( {t - 2} \right)\left( {t ...
Let $$f\left( x \right) = {\left( {1 - x} \right)^2}\,\,{\sin ^2}\,\,x + {x^2}$$...
Let $$f\left( x \right) = {\left( {1 - x} \right)^2}\,\,{\sin ^2}\,\,x + {x^2}$$...
The value of the integral $$\int\limits_{ - \pi /2}^{\pi /2} {\left( {{x^2} + 1n... Four fair dice$${D_1,}{D_2,}{D_3}$$and$${D_4}$$; each having six f... Let$$X$$and$$Y$$be two events such that$$P\left( {X|Y} \right) = {1 \over 2...
If $$\overrightarrow a$$ and $$\overrightarrow b$$ are vectors such that $$\l... The equation of a plane passing through the line of intersection of the planes ... If the straight lines$$\,{{x - 1} \over 2} = {{y + 1} \over k} = {z \over 2}$$... <p>If P is a 3$$\times$$3 matrix such that P<sup>T</sup> = 2P + I, where P<sup... <p>Let$$\alpha$$(a) and$$\beta$$(a) be the roots of the equation$$(\root 3 \o...
<p>For every integer n, let a<sub>n</sub> and b<sub>n</sub> be real numbers. Let...
<p>If the ad joint of a 3 $$\times$$ 3 matrix P is $$\left[ {\matrix{ 1 & 4 &... <p>Let$$f:( - 1,1) \to R$$be such that$$f(\cos 4\theta ) = {2 \over {2 - {{\s...

## Physics

Two identical discs of same radius R are rotating about their axes in opposite d...
Consider a disc rotating in the horizontal plane with a constant angular speed \$...
Two solid cylinders P and Q of same mass and same radius start rolling down a fi...
The figure shows a system consisting of (i) a ring of outer radius 3R rolling cl...
Two spherical planets P and Q have the same uniform density r, masses M<sub>P</s...
A thin uniform cylindrical shell, closed at both ends, is partially filled with ...
Two moles of ideal helium gas are in a rubber balloon at 30<sup>o</sup>C. The ba...
A student is performing the experiment of resonance Column. The diameter of the ...
In the given circuit, a charge of $$+80$$ $$\mu C$$ is given to the upper plate ...
Six point charges are kept at the vertices of a regular hexagon of side $$L$$ an...
<p>A loop carrying current $$l$$ lies in the xy-plane as shown in the figure. Th...
<p>An infinite long hollow conducting cylinder with inner radius R/2 and outer r...
<p>Which of the following statements about the instantaneous axis (passing throu...
<p>Which of the following statements regarding the angular speed about the insta...
<p>What is the maximum energy of the anti-neutrino?</p>
<p>If the anti-neutrino had a mass of 3 eV/c<sup>2</sup> (where c is the speed o...
<p>For light incident from air on a meta-material, the appropriate ray diagram i...
<p>Choose the correct statement.</p>
<p>In the given circuit, the AC source has $$\omega$$ = 100 rad/s. Considering t...
<p>A current carrying infinitely long wire is kept along the diameter of a circu...

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