Exam Details
IIT JEE 2000
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Questions
23
Duration
180 mins
Package
IIT-JEE Advance - Previous Year Papers
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Topic distribution
Subtopic distribution
Difficulty distribution
23questions
Medium
11
47.8%
Hard
9
39.1%
Easy
3
13%
Question type distribution
23questions
Subjective
21
91.3%
Multiple Choices
2
8.7%
Syllabus
Full Syllabus
Sample questions from this paper
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2000 · Chemistry · Inorganic Chemistry · Chemical Bonding And Molecular Structure
IIT JEE 2000
Write down the M.O. electron distribution of O2. Specify its bond order and magnetic property.
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2000 · Mathematics · Algebra · Mathematical Induction And Binomial Theorem
IIT JEE 2000
Let \(a,\,b,\,c\) be possitive real numbers such that \({b^2} - 4ac > 0\) and let \({\alpha _1} = c.\) Prove by induction that \({\alpha _{n + 1}} = {{a\alpha _n^2} \over {\left( {{b^2} - 2a\left( {{\alpha _1} + {\alpha _2} + ... + {\alpha _n}} \right)} \right)}}\) is well-defined and
\({\alpha _{n + 1}} < {{{\alpha _n}} \over 2}\) for all \(n = 1,2,....\) (Here, 'well-defined' means that the denominator in the expression for \({\alpha _{n + 1}}\) is not zero.)
\({\alpha _{n + 1}} < {{{\alpha _n}} \over 2}\) for all \(n = 1,2,....\) (Here, 'well-defined' means that the denominator in the expression for \({\alpha _{n + 1}}\) is not zero.)
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2000 · Physics · Mechanics · Rotational Motion
IIT JEE 2000
A thin wire of length $L$ and uniform linear mass density $\rho$ is bent into a circular loop with centre at $O$ as shown. The moment of inertia of the loop about the axis $XX'$ is:
2000 · Chemistry · Physical Chemistry · Solutions
IIT JEE 2000
To 500 cm3 of water, 3.0 \(\times\) 10-3 kg of acetic acid is added. If 23% of acetic acid is dissociated, what will be the depression in freezing point? Kf and density of water are 1.86 K kg-1 mol-1 and 0.997 g cm-3, respectively
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2000 · Mathematics · Algebra · Quadratic Equation And Inequalities
IIT JEE 2000
If \(\alpha ,\,\beta\) are the roots of \(a{x^2} + bx + c = 0\), \(\,\left( {a \ne 0} \right)\) and \(\alpha + \delta ,\,\,\beta + \delta\) are the roots of \(A{x^2} + Bx + c = 0,\) \(\left( {A \ne 0\,} \right)\,\) for some contant \(\delta\), then prove that \({{{b^2} - 4ac} \over {{a^2}}} = {{{B^2} - 4Ac} \over {{A^2}}}\).
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2000 · Chemistry · Physical Chemistry · Structure Of Atom
IIT JEE 2000
Calculate the energy required to excite one litre of hydrogen gas at 1 atm and 298 K to the first excited state of atomic hydrogen. The energy for the dissociation of H-H bond 436 kJ mol-1.
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