NEW
New Website Launch
Experience the best way to solve previous year questions with mock tests (very detailed analysis), bookmark your favourite questions, practice etc...

IIT-JEE 1996

Exam Held on Thu Apr 11 1996 09:00:00 GMT+0000 (Coordinated Universal Time)
Click View All Questions to see questions one by one or you can choose a single question from below.

Chemistry

A 3.00 g sample containing Fe<sub>3</sub>O<sub>4</sub>, Fe<sub>2</sub>O<sub>3</s...
The orbital angular momentum of an electron in 2s orbital is
Calculate the wave number for the shortest wavelength transition in the Balmer s...
Consider the hydrogen atom to be a proton embedded in a cavity of radius a<sub>0...
Which of the following has the maximum number of unpaired electrons?
When N<sub>2</sub>, the N-N bond distance _____ and when O<sub>2</sub> goes to $...
Among the following species, identity the isostructural pairs NF<sub>3</sub>, $$...
The number and type of bonds between two carbon atoms in CaC<sub>2</sub> are:
A mixture of ideal gas is cooled upto liquid helium temperature (4.22K) to form ...
The following compounds have been arranged in order of their increasing thermal ...
Explain the difference in the nature of bonding in LiF and LiI.
The molar volume of liquid benzene (density = 0.877 g mL<sup>-1</sup>) increases...
The standard reduction potential for Cu<sup>2+</sup>|Cu is +0.34 V. Calculate th...
The ionisation constant of $$NH_4^+$$ in water is 5.6 $$\times$$ 10<sup>-10</sup...

Mathematics

General value of $$\theta $$ satisfying the equation $${\tan ^2}\theta + \sec \...
$${\sec ^2}\theta = {{4xy} \over {{{\left( {x + y} \right)}^2}}}\,$$ is true if...
The value of the expression <br>$$1 \bullet \left( {2 - \omega } \right)\left( {...
For positive integers $${n_1},\,{n_2}$$ the value of the expression $${\left( {1...
Find all non-zero complex numbers Z satisfying $$\overline Z = i{Z^2}$$.
Find all values of $$\theta $$ in the interval $$\left( { - {\pi \over 2},{\pi...
Let n and k be positive such that $$n \ge {{k(k + 1)} \over 2}$$ . The number of...
Using mathematical induction prove that for every integer $$n \ge 1,\,\,\left( {...
For any odd integer $$n$$ $$ \ge 1,\,\,{n^3} - {\left( {n - 1} \right)^3} + .......
The real numbers $${x_1}$$, $${x_2}$$, $${x_3}$$ satisfying the equation $${x^3}...
A rectangle $$PQRS$$ has its side $$PQ$$ parallel to the line $$y = mx$$ and ver...
The intercept on the line y = x by the circle $${x^2} + {y^2} - 2x = 0$$ is AB....
The angle between a pair of tangents drawn from a point P to the circle $${x^2}\...
A circle passes through three points A, B and C with the line segment AC as its ...
Find the intervals of value of a for which the line y + x = 0 bisects two chords...
An ellipse has eccentricity $${1 \over 2}$$ and one focus at the point $$P\left(...
Points $$A, B$$ and $$C$$ lie on the parabola $${y^2} = 4ax$$. The tangents to t...
From a point $$A$$ common tangents are drawn to the circle $${x^2} + {y^2} = {a^...
If $$x{e^{xy}} = y + {\sin ^2}x,$$ then at $$x = 0,{{dy} \over {dx}} = ............
In a triangle $$ABC$$, $$a:b:c=4:5:6$$. The ratio of the radius of the circumcir...
Let $$f\left( x \right) = \left\{ {\matrix{ {x{e^{ax}},\,\,\,\,\,\,\,x \le 0}...
A curve $$y=f(x)$$ passes through the point $$P(1, 1)$$. The normal to the curve...
Determine the points of maxima and minima of the function <br>$$f\left( x \righ...
Evaluate $$\int {{{\left( {x + 1} \right)} \over {x{{\left( {1 + x{e^x}} \right)...
If for nonzero $$x$$, $$af(x)+$$ $$bf\left( {{1 \over x}} \right) = {1 \over x} ...
For $$n&gt;0,$$ $$\int_0^{2\pi } {{{x{{\sin }^{2n}}x} \over {{{\sin }^{2n}}x + {...
Let $${A_n}$$ be the area bounded by the curve $$y = {\left( {\tan x} \right)^n}...
Determine the equation of the curve passing through the origin, in the form $$y=...
For the three events $$A, B,$$ and $$C,P$$ (exactly one of the events $$A$$ or $...
In how many ways three girls and nine boys can be seated in two vans, each havin...
If $$\overrightarrow b \,$$ and $$\overrightarrow c \,$$ are two non-collinear u...
A nonzero vector $$\overrightarrow a $$ is parallel to the line of intersection ...
The position vectors of the vertices $$A, B$$ and $$C$$ of a tetrahedron $$ABCD$...

Physics

Two guns, situated on the top of a hill of height 10 m, fire one shot each with ...

Joint Entrance Examination

JEE Main JEE Advanced WB JEE

Graduate Aptitude Test in Engineering

GATE CSE GATE ECE GATE EE GATE ME GATE CE GATE PI GATE IN

Medical

NEET

CBSE

Class 12