Exam Details
IIT JEE 2005
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Questions
22
Duration
180 mins
Package
IIT-JEE Advance - Previous Year Papers
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Topic distribution
Subtopic distribution
Difficulty distribution
22questions
Medium
14
63.6%
Hard
7
31.8%
Easy
1
4.5%
Question type distribution
22questions
Subjective
21
95.5%
Multiple Choices
1
4.5%
Syllabus
Full Syllabus
Sample questions from this paper
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2005 · Mathematics · Algebra · Permutations And Combinations
IIT JEE 2005
If total number of runs scored in n matches is \(\left( {{{n + 1} \over 4}} \right)\,\,({2^{n + 1}} - n - 2)\,\) where \(n > 1\), and the runs scored in the \({k^{th}}\) match are given by k. \(\,{2^{n + 1 - k}}\), where \(1 \le k \le n\). Find n.
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2005 · Physics · Mechanics · Units And Measurements
IIT JEE 2005
The side of a cube is measured by vernier callipers (10 divisions of a vernier scale coincide with
9 divisions of main scale, where 1 division of main scale is 1 mm). The main scale reads 10 mm and
first division of vernier scale coincides with the main scale. Mass of the cube is 2.736 g. Find the
density of the cube in appropriate significant figures.
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2005 · Chemistry · Physical Chemistry · Structure Of Atom
IIT JEE 2005
Find the velocity (ms-1) of electron in first Bohr's orbit of radius a0. Also find the de Broglie's wavelength (in m). Find the orbital angular momentum of 2p orbital of hydrogen atom in units of \(h/2 \pi\).
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2005 · Mathematics · Algebra · Probability
IIT JEE 2005
A person goes to office either by car, scooter, bus or train, the probability of which being \({1 \over 7},{3 \over 7},{2 \over 7}\) and \({1 \over 7}\) respectively. Probability that he reaches office late, if he takes car, scooter, bus or train is \({2 \over 9},{1 \over 9},{4 \over 9}\) and \({1 \over 9}\) respectively. Given that he reached office in time, then what is the probability that he travelled by a car.
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2005 · Chemistry · Physical Chemistry · Chemical Kinetics And Nuclear Chemistry
IIT JEE 2005
At constant temperature and volume, X decomposes as 2X(g) \(\to\) 3Y(g) + 2Z(g); Px is the partial pressure of X.
(i) What is the order of the reaction to X?
(ii) Find the rate constant
(iii) Find the time for 75% completion of the reaction.
(iv) Find the total pressure when pressure of X is 700 mm of Hg
| Observation No. | Time (in minute) | Px (in mm of Hg) |
|---|---|---|
| 1 | 0 | 800 |
| 2 | 100 | 400 |
| 3 | 200 | 200 |
(i) What is the order of the reaction to X?
(ii) Find the rate constant
(iii) Find the time for 75% completion of the reaction.
(iv) Find the total pressure when pressure of X is 700 mm of Hg
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2005 · Mathematics · Coordinate Geometry · Circle
IIT JEE 2005
Circles with radii 3, 4 and 5 touch each other externally. It P is the point of intersection of tangents to these circles at their points of contact, find the distance of P from the points of contact.
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