IIT-JEE 1982

Paper was held on
Sun, Apr 11, 1982 9:00 AM

## Chemistry

The oxidation number of carbon in CH2O is

View Question Hydroxylamine reduces iron (III) according to the equation:
2NH2OH + 4Fe3+ $$\to$$ N2O(g) $$ \uparrow $$ + H2O + 4Fe2+

View Question The mass of a hydrogen atom is ______ kg.

View Question Isotopes of an element differ in the number of ______ in their nuclei.

View Question When there are two electrons in the same orbital, they have _____ spins.

View Question The outer electronic configuration of the ground state chromium atom is 3d4 4s2

View Question Calculate the wavelength in Angstrom of the photon that is emitted when an electron in the Bohr orbit, n = 2 returns to

View Question The energy released when an electron is added to a neutral gaseous atom is called ______ of the atom.

View Question The element with the highest first ionization potential is

View Question There are ______ $$\pi$$ bonds in a nitrogen molecule.

View Question ____ hybrid orbitals of nitrogen atom are involved in the formation of ammonium ion.

View Question The ion that is isoelectronic with CO is

View Question Among the following, the molecule that is linear is

View Question The compound with no dipole moment is

View Question Helium atom is two times heavier than a hydrogen molecule. At 298 K, the average kinetic energy of a helium atom is

View Question At room temparature, ammonia gas at 1 atm pressure and hydrogen chloride gas at P atm pressure are allowed to effuse thr

View Question MgCl2.6H2O on heating give anhydrous MgCl2

View Question How will you prepare bleaching powder from slaked lime.

View Question Write down the balanced equations for the reaction when:
An alkaline solution of potassium ferricyanide is reacted with

View Question ## Mathematics

If $$z = {\left( {{{\sqrt 3 } \over 2} + {i \over 2}} \right)^5} + {\left( {{{\sqrt 3 } \over 2} - {i \over 2}} \right)^

View Question The inequality |z-4| < |z-2| represents the region given by

View Question Without using tables, prove that $$\left( {\sin \,{{12}^ \circ }} \right)\left( {\sin \,{{48}^ \circ }} \right)\left( {

View Question $$mn$$ squares of equal size are arranged to from a rectangle of dimension $$m$$ by $$n$$, where $$m$$ and $$n$$ are nat

View Question Show that the equation $${e^{\sin x}} - {e^{ - \sin x}} - 4 = 0$$ has no real solution.

View Question The coeffcient of $${x^{99}}$$ in the polynomial (x -1) (x - 2)...(x - 100) is ..............

View Question If $$2 + i\sqrt 3 $$ is root of the equation $${x^2} + px + q = 0$$, where p and q are real, then (p, q) = (..........,.

View Question The number of real solutions of the equation $${\left| x \right|^2} - 3\left| x \right| + 2 = 0$$ is

View Question Two towns A and B are 60 km apart. A school is to be built to serve 150 students in town A and 50 students in town B. If

View Question If p, q, r are any real numbers, then

View Question The largest interval for which $${x^{12}} - {x^9} + {x^4} - x + 1 > 0$$ is

View Question The larger of $${99^{50}} + {100^{50}}$$ and $${101^{50}}$$ is ..............

View Question The sum of the coefficients of the plynomial $${\left( {1 + x - 3{x^2}} \right)^{2163}}$$ is ...............

View Question Prove that $${7^{2n}} + \left( {{2^{3n - 3}}} \right)\left( {3n - 1} \right)$$ is divisible by 25 for any natural number

View Question In a certain test, $${a_i}$$ students gave wrong answers to atleast i questions, where i = 1, 2,..., k. No student gave

View Question Ten different letters of an alphabet are given. Words with five letters are formed from these given letters. Then the nu

View Question Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First the women choose the chai

View Question The value of the expression $$\,{}^{47}{C_4} + \sum\limits_{j = 1}^5 {^{52 - j}\,{C_3}} $$ is equal to

View Question The third term of a geometric progression is 4. The product of the first five terms is

View Question If $$x,\,y$$ and $$z$$ are $$pth$$, $$qth$$ and $$rth$$ terms respectively of an A.P. and also of a G.P., then $${x^{y -

View Question Does there exist a geometric progression containing $$27, 8$$ and $$12$$ as three of its terms? If it exits, how many su

View Question $$y = {10^x}$$ is the reflection of $${\log _{10}}\,x$$ in the line whose equation is ...........

View Question The set of lines $$ax + by + c = 0,$$ where $$3a + 2b + 4c = 0$$ is concurrent at the point ..........

View Question If A and B are points in the plane such that PA/PB = k (constant) for all P on a given circle, then the value of k canno

View Question $$A$$ is point on the parabola $${y^2} = 4ax$$. The normal at $$A$$ cuts the parabola again at point $$B$$. If $$AB$$ su

View Question If $$y = f\left( {{{2x - 1} \over {{x^2} + 1}}} \right)$$ and $$f'\left( x \right) = \sin {x^2}$$, then $${{dy} \over

View Question Let $$f$$ be a twice differentiable function such that
$$f''\left( x \right) = - f\left( x \right),$$ and $$f'\left( x

View Question A vertical pole stands at a point $$Q$$ on a horizontal ground. $$A$$ and $$B$$ are points on the ground, $$d$$ meters a

View Question If $$f(x)$$ and $$g(x)$$ are differentiable function for $$0 \le x \le 1$$ such that $$f(0)=2$$, $$g(0)=0$$, $$f(1)=6$$;

View Question If $$a{x^2} + {b \over x} \ge c$$ for all positive $$x$$ where $$a>0$$ and $$b>0$$ show that $$27a{b^2} \ge 4{c^3}

View Question The area bounded by the curves $$y=f(x)$$, the $$x$$-axis and the ordinates $$x=1$$ and $$x=b$$ is $$(b-1)$$ sin $$(3b+4

View Question Find the value of $$\int\limits_{ - 1}^{3/2} {\left| {x\sin \,\pi \,x} \right|\,dx} $$

View Question Show that $$\int\limits_0^\pi {xf\left( {\sin x} \right)dx} = {\pi \over 2}\int\limits_0^\pi {f\left( {\sin x} \righ

View Question For any real $$t,\,x = {{{e^t} + {e^{ - t}}} \over 2},\,\,y = {{{e^t} - {e^{ - t}}} \over 2}$$ is a point on the
hyperb

View Question If $$A$$ and $$B$$ are two events such that $$P\left( A \right) > 0,$$ and $$P\left( B \right) \ne 1,$$ then $$P\left

View Question $$A$$ and $$B$$ are two candidates seeking admission in $$IIT.$$ The probability that $$A$$ is selected is $$0.5$$ and t

View Question For non-zero vectors $${\overrightarrow a ,\,\overrightarrow b ,\overrightarrow c },$$ $$\left| {\left( {\overrightarrow

View Question $${A_1},{A_2},.................{A_n}$$ are the vertices of a regular plane polygon with $$n$$ sides and $$O$$ is its cen

View Question Find all values of $$\lambda $$ such that $$x, y, z,$$$$\, \ne $$$$(0,0,0)$$ and
$$\left( {\overrightarrow i + \overri

View Question ## Physics

Write the dimensions of the followings in terms of mass, time, length and charge
(i) magnetic flux
(ii) rigidity modulus

View Question A particle is moving eastwards with a velocity of 5 m/s. In 10s the velocity changes to 5 m/s northwards. The average ac

View Question In the arrangement shown in Fig. the ends P and Q of an unstretchable string move downwards with uniform speed U. Pulley

View Question