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:
S + OH- $$\to$$ S2- + $$S_2O_3^-$$
View Question Complete and balance the following equation:
Ag+ + AsH3 $$\to$$ H3AsO3 + H+
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 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 Which one of the following sets of quantum numbers represents an impossible arrangement?
View Question The ratio of the energy of a photon of 2000Å wavelength to that 4000Å radiation is
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