Exam Details
IIT JEE 1996
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Questions
48
Duration
180 mins
Package
IIT-JEE Advance - Previous Year Papers
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Topic distribution
Subtopic distribution
Difficulty distribution
48questions
Medium
26
54.2%
Easy
11
22.9%
Hard
11
22.9%
Question type distribution
48questions
Subjective
25
52.1%
Multiple Choices
13
27.1%
Fill in the blanks
10
20.8%
Syllabus
Full Syllabus
Sample questions from this paper
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1996 · Chemistry · Physical Chemistry · Gaseous State
IIT JEE 1996
A mixture of ideal gas is cooled upto liquid helium temperature (4.22K) to form an ideal solution
1996 · Mathematics · Algebra · 3D Geometry
IIT JEE 1996
The position vectors of the vertices \(A, B\) and \(C\) of a tetrahedron \(ABCD\) are \(\widehat i + \widehat j + \widehat k,\,\widehat i\) and \(3\widehat i\,,\) respectively. The altitude from vertex \(D\) to the opposite face \(ABC\) meets the median line through \(A\) of the triangle \(ABC\) at a point \(E.\) If the length of the side \(AD\) is \(4\) and the volume of the tetrahedron is \({{2\sqrt 2 } \over 3},\) find the position vector of the point \(E\) for all its possible positions.
Write your response
1996 · Physics · Mechanics · Motion
IIT JEE 1996
Two guns, situated on the top of a hill of height 10 m, fire one shot each with the same speed \(5\sqrt 3\) m s-1 at some interval of time. One gun fires horizontally and other fires upwards at an angle of \(60^\circ\) with the horizontal. The shots collide in air at a point P. Find
(i) the time interval between the firings, and
(ii) the coordinates of the point P.
Take origin of the coordinate system at the foot of the hill right below the muzzle and trajectories in x-y plane. Write your response
1996 · Chemistry · Physical Chemistry · Solutions
IIT JEE 1996
The molar volume of liquid benzene (density = 0.877 g mL-1) increases by a factor of 2750 as it vaporises at 20oC and that of liquid toluene (density = 0.867 g mL-1) increases by a factor of 7720 at 20oC. A solution of benzene and toluene at 20oC has vapour pressure of 46.0 Torr. Find the mole fraction of benzene in the vapour above the solution.
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1996 · Mathematics · Coordinate Geometry · Circle
IIT JEE 1996
A circle passes through three points A, B and C with the line segment AC as its diameter. A line passing through A angles DAB and CAB are \(\,\alpha \,\,and\,\,\beta\) respectively and the distance between the point A and the mid point of the line segment DC is d, prove that the area of the circle is \({{\pi \,{d^2}\,\,{{\cos }^2}\,\,\alpha } \over {{{\cos }^2}\,\alpha \, + \,{{\cos }^2}\,\beta \, + \,\,2\,\cos \,\,\alpha \,\,\cos \,\beta \,\cos \,\,(\beta - \alpha )\,}}\)
Write your response
1996 · Chemistry · Inorganic Chemistry · S Block Elements
IIT JEE 1996
The following compounds have been arranged in order of their increasing thermal stabilities. Identify the correct order
K2CO3 (A), MgCO3 (B), CaCO3 (C), BeCO3 (D)
K2CO3 (A), MgCO3 (B), CaCO3 (C), BeCO3 (D)