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IIT JEE 2004
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Questions
26
Duration
180 mins
Package
IIT-JEE Advance - Previous Year Papers
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26questions
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15
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Hard
7
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26questions
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2004 · Chemistry · Physical Chemistry · Solutions
IIT JEE 2004
1.22 g of benzoic acid is dissolved in 100 g of acetone and 100 g of benzene separately. Boiling point of the solution in acetone increases by 0.17 oC, while that in the benzene increases by 0.13oC; Kb for acetone and benzene is 1.7 K kg mol-1 and 2.6 K kg mol-1. Find molecular weight of the benzoic acid in two cases and justify your answer.
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2004 · Mathematics · Algebra · Quadratic Equation And Inequalities
IIT JEE 2004
If \(a,\,b,c\) are positive real numbers. Then prove that
\({\left( {a + 1} \right)^7}{\left( {b + 1} \right)^7}{\left( {c + 1} \right)^7} > {7^7}\,{a^4}{b^4}{c^4}\)
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2004 · Physics · Mechanics · Units And Measurements
IIT JEE 2004
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 5.6 cm. The main scale reading is 1mm and 47th circular division coincides
with the main scale. Find the curved surface area of wire in cm2 to appropriate significant figures. ( use \(\pi = {{22} \over 7}\) )
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2004 · Chemistry · Physical Chemistry · Electrochemistry
IIT JEE 2004
Find the equilibrium constant for the reaction,
In2+ + Cu2+ \(\to\) In3+ + Cu+ at 298 K
given
\(E_{C{u^{2 + }}/C{u^ + }}^o\) = 0.15 V; \(E_{l{n^{2 + }}/l{n^ + }}^o\) = -0.40 V; \(E_{l{n^{3 + }}/l{n^ + }}^o\) = -0.42 V;
In2+ + Cu2+ \(\to\) In3+ + Cu+ at 298 K
given
\(E_{C{u^{2 + }}/C{u^ + }}^o\) = 0.15 V; \(E_{l{n^{2 + }}/l{n^ + }}^o\) = -0.40 V; \(E_{l{n^{3 + }}/l{n^ + }}^o\) = -0.42 V;
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2004 · Mathematics · Algebra · 3D Geometry
IIT JEE 2004
A parallelopiped \('S'\) has base points \(A, B, C\) and \(D\) and upper face points \(A',\) \(B',\) \(C'\) and \(D'.\) This parallelopiped is compressed by upper face \(A'B'C'D'\) to form a new parallelopiped \('T'\) having upper face points \(A'',B'',C''\) and \(D''.\) Volume of parallelopiped \(T\) is \(90\) percent of the volume of parallelopiped \(S.\) Prove that the locus of \('A''',\) is a plane.
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2004 · Physics · Mechanics · Units And Measurements
IIT JEE 2004
In Searle's experiment, which is used to find Young's Modulus of elasticity, the diameter of experimental wire is D = 0.05 cm ( measured by a scale of least count 0.001 cm ) and length is L = 110 cm ( measured by a scale of least count 0.1 cm ). A weight of 50 N causes an extension of X = 0.125 cm (measured by a micrometer of least count 0.001 cm ). Find maximum possible error in the value of Young's modulus. Screw gauge and and meter scale are free from error.
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