Exam Details
IIT JEE 1990
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Questions
39
Duration
180 mins
Package
IIT-JEE Advance - Previous Year Papers
Paper pattern & analysis
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Topic distribution
Subtopic distribution
Difficulty distribution
39questions
Medium
21
53.8%
Easy
14
35.9%
Hard
4
10.3%
Question type distribution
39questions
Subjective
21
53.8%
Multiple Choices
15
38.5%
Fill in the blanks
2
5.1%
Numerical Answer Type (NAT)
1
2.6%
Syllabus
Full Syllabus
Sample questions from this paper
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1990 · Chemistry · Inorganic Chemistry · Chemical Bonding And Molecular Structure
IIT JEE 1990
The presence of polar bonds in a poly-atomic molecule suggests that the molecule has non-zero dipole moment.
1990 · Mathematics · Algebra · Complex Numbers
IIT JEE 1990
Let \({z_1}\) = 10 + 6i and \({z_2}\) = 4 + 6i. If Z is any complex number such that the argument of \({{(z - {z_1})} \over {(z - {z_2})}}\,is{\pi \over 4}\) , then prove that \(\left| {z - 7 - 9i} \right| = 3\sqrt 2\).
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1990 · Physics · Mechanics · Units And Measurements
IIT JEE 1990
Column - I gives the three physical quantities. Select the appropriate units for the choices given in Column - II. Some of the physical quantities may have more than one choice correct:
| Column I | Column II |
|---|---|
| Capacitance | (i) ohm-second |
| Inductance | (ii) coulomb2 - joule-1 |
| Magnetic Induction | (iii) coulomb (volt)-1 |
| (iv) newton (amp-meter)-1 | |
| (v) volt-second (ampere)-1 | |
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1990 · Chemistry · Physical Chemistry · Some Basic Concepts Of Chemistry
IIT JEE 1990
Calculate the molality of 1 litre solution of 93% H2SO4 (weight/volume). The density of the solution is 1.84 g/ml
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1990 · Mathematics · Calculus · Application Of Derivatives
IIT JEE 1990
Show that \(2\sin x + \tan x \ge 3x\) where \(0 \le x < {\pi \over 2}\).
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1990 · Chemistry · Physical Chemistry · Structure Of Atom
IIT JEE 1990
According to Bohr's theory, the electronic energy of hydrogen atom in the nth Bohr's orbit is given by \({E_n} = {{ - 21.6 \times {{10}^{ - 19}}} \over {{n^2}}}J\). Calculate the longest wavelength of light (in Å) that will be needed to remove an electron from the third Bohr orbit of the He+ ion.
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