IIT-JEE 1986

Paper was held on
Fri, Apr 11, 1986 9:00 AM

## Chemistry

A molal solution is one that contains one mole of solute in

View Question
Complete and balance the following equation:
Mn2+ + PbO2 $$\to$$ $$MnO_4^-$$ + H2O

View Question
Complete and balance the following equation:
$$ClO_3^-$$ + I- + H2SO4 $$\to$$ Cl- + $$HSO_4^-$$

View Question
Complete and balance the following equation:
S + OH- $$\to$$ S2- + $$S_2O_3^-$$

View Question
Complete and balance the following equation:
Ag+ + AsH3 $$\to$$ H3AsO3 + H+

View Question
Arrange the following in increasing oxidation number of iodine.
I2, HI, HIO4, ICl

View Question
The electron density in the XY plane in 3dx2 - y2 orbital is zero

View Question
Rutherford's alpha particle scattering experiment eventually led to the conclusion that:

View Question
The ratio of the energy of a photon of 2000Å wavelength to that 4000Å radiation is

View Question
Which one of the following sets of quantum numbers represents an impossible arrangement?

View Question
The sum of the number of neutrons and proton in the isotope of hydrogen is

View Question
Arrange the following in:
Increasing size:
Cl-, S2-, Ca2+, Ar

View Question
The bond between two identical non-metal atoms has a pair of electrons

View Question
The hydrogen bond is strongest in

View Question
The hybridisation of sulphur in sulphur dioxide is

View Question
CO2 is isostructural with

View Question
Write the lewis dot structure of the following:
O3, COCl2

View Question
The rate of diffusion of gas is _______ proportional to both ________ and square root of molecular mass.

View Question
The average velocity of an ideal gas molecule at 27oC is 0.3m/sec. The average velocity at 927oC will be

View Question
The softness of group I-A metals increases down the group with increasing atomic number.

View Question
The pair of compound which cannot exist together in solution is:

View Question
Give reasons of the following:
Hydrogen peroxide is a better oxidising agent than water.

View Question
Write the IUPAC name of :
CH3CH2CH = CHCOOH

View Question
The vapour pressure of ethanol and methanol are 44.5 and 88.7 mm Hg respectively. An ideal solution is formed at the sam

View Question
## Mathematics

Let $${z_1}$$ and $${z_2}$$ be complex numbers such that $${z_1}$$ $$ \ne $$ $${z_2}$$ and $$\left| {{z_1}} \right| =\

View Question
The expression $$2\left[ {{{\sin }^6}\left( {{\pi \over 2} + \alpha } \right) + {{\sin }^6}\left( {5\pi - \alpha } \ri

View Question
Show that the area of the triangle on the Argand diagram formed by the complex numbers z, iz and z + iz is $${1 \over 2}

View Question
If $$S$$ is the set of all real $$x$$ such that $${{2x - 1} \over {2{x^3} + 3{x^2} + x}}$$ is positive, then $$S$$ conta

View Question
If $$a,\,b$$ and $$c$$ are distinct positive numbers, then the expression
$$\left( {b + c - a} \right)\left( {c + a - b

View Question
For $$a \le 0,$$ determine all real roots of the equation $$${x^2} - 2a\left| {x - a} \right| - 3{a^2} = 0$$$

View Question
If the quadratic equations $${x^2} + ax + b = 0$$ and $${x^2} + bx + a = 0$$ $$(a \ne b)$$ have a common root, then the

View Question
The solution of equation $${\log _7}\,{\log _5}\,\left( {\sqrt {x + 5} + \sqrt x } \right) = 0$$ is ...................

View Question
If $${C_r}$$ stands for $${}^n{C_r},$$ then the sum of the series
$${{2\left( {{n \over 2}} \right){\mkern 1mu} !{\mke

View Question
A box contains two white balls, three black balls and four red balls. In how many ways can three balls be drawn from the

View Question
The solution of the equation $$lo{g_7}$$ $$lo{g_5}$$ $$\left( {\sqrt {x + 5} + \sqrt x } \right) = 0$$ is .............

View Question
The points $$\left( {0,{8 \over 3}} \right),\,\,\left( {1,\,3} \right)$$ and $$\left( {82,\,30} \right)$$ are vertices o

View Question
All points lying inside the triangle formed by the points $$\left( {1,\,3} \right),\,\left( {5,\,0} \right)$$ and $$\lef

View Question
A vector $$\overline a $$ has components $$2p$$ and $$1$$ with respect to a rectangular cartesian system. This system is

View Question
From the point A(0, 3) on the circle $${x^2} + 4x + {(y - 3)^2} = 0$$, a chord AB is drawn and extended to a point M suc

View Question
The equation of the line passing through the points of intersection of the circles $$3{x^2} + 3{y^2} - 2x + 12y - 9 = 0$

View Question
Lines 5x + 12y - 10 = 0 and 5x - 12y - 40 = 0 touch a circle $$C_1$$ of diameter 6. If the centre of $$C_1$$ lies in the

View Question
The derivative of $${\sec ^{ - 1}}\left( {{1 \over {2{x^2} - 1}}} \right)$$ with respect to $$\sqrt {1 - {x^2}} $$ at $$

View Question
There exists a triangle $$ABC$$ satisfying the conditions

View Question
If in a triangle $$ABC$$, $$\cos A\cos B + \sin A\sin B\sin C = 1,$$ Show that $$a:b:c = 1:1:\sqrt 2 $$

View Question
The principal value of $${\sin ^{ - 1}}\left( {\sin {{2\pi } \over 3}} \right)$$ is

View Question
Let $$P\left( x \right) = {a_0} + {a_1}{x^2} + {a_2}{x^4} + ...... + {a_n}{x^{2n}}$$ be a polynomial in a real variable

View Question
If the line $$ax+by+c=0$$ is a normal to the curve $$xy=1$$, then

View Question
Evaluate : $$\int\limits_0^\pi {{{x\,dx} \over {1 + \cos \,\alpha \,\sin x}},0 < \alpha < \pi } $$

View Question
If $${{1 + 3p} \over 3},\,\,\,{{1 - p} \over 4}$$ and $$\,{{1 - 2p} \over 2}$$ are the probabilities of three mutually e

View Question
A student appears for tests, $$I$$, $$II$$ and $$III$$. The student is successful if he passes either in tests $$I$$ and

View Question
The probability that at least one of the events $$A$$ and $$B$$ occurs is $$0.6$$. If $$A$$ and $$B$$ occur simultaneous

View Question
A lot contains $$20$$ articles. The probability that the lot contains exactly $$2$$ defective articles is $$0.4$$ and th

View Question
Let $$\overrightarrow a = {a_1}i + {a_2}j + {a_3}k,\,\,\,\overrightarrow b = {b_1}i + {b_2}j + {b_3}k$$ and $$\overrig

View Question
The position vectors of the points $$A, B, C$$ and $$D$$ are $$3\widehat i - 2\widehat j - \widehat k,\,2\widehat i + 3\

View Question
## Physics

The dimensions of the quantities in one ( or more ) of the following pairs are the same. Identify the pair(s)

View Question
A reference frame attached to the earth

View Question
A simple pendulum of length L and mass (bob) M is oscillating in a plane about a vertical line between angular limit $$

View Question