IIT-JEE 1980

Paper was held on
Fri, Apr 11, 1980 9:00 AM

## Chemistry

The modern atomic unit is based on the mass of ______.

View Question The total no of electron present in 18 ml of water is ______.

View Question M is molecular weight of KMnO4. The equivalent wight of KMnO4 when it is converted into K2MnO4 is

View Question A hydrocarbon contains 10.5 g of carbon per gram of hydrogen. 1 litre of the hydrocarbon at 127oC and 1 atmosphere weigh

View Question A mixture contains NaCl and unknown chloride MCl.
(i) 1g of this is dissolved in water. Excess of acidified AgNO3 soluti

View Question Find
(i) The total number of neutrons and
(ii) The total mass of neutron in 7 mg of 14C
(Assume that mass of neutron =

View Question (a) 1 litre of a mixture of CO and CO2
is taken. This
mixture is passed through a tube containing red hot
charcoal. The

View Question (i). A sample of MnSO4.4H2O is strongly heated in air. The residue is Mn3O4.
(ii). The residue is dissolved in 100 ml of

View Question (a) One litre of a sample of hard water contains 1 mg of CaCl2 and 1 mg of MgCl2. Find the total hardness in terms of pa

View Question Element X is strongly electropositive and element Y is strongly electronegative. Both are univalent. The compound formed

View Question Which of the following compounds are covalent?

View Question The total number of electrons that take part in forming the bond in N2 is

View Question Which of the following is soluble in water?

View Question Anhydrous MgCl2 is obtained by hydrated salt with ______.

View Question Calcium is obtained by

View Question HCL is added to the following oxides. Which one would give H2O2?

View Question Explain the following in not more than two sentenses.
A solution of FeCl3
in water gives a brown precipitate on
standin

View Question Compound A is a light green crystalline solid. It gives
the following tests :
(i) It dissolves in dilute sulphuric acid.

View Question ## Mathematics

Given $$A = {\sin ^2}\theta + {\cos ^4}\theta $$ then for all real values of $$\theta $$

View Question The equation $$\,2{\cos ^2}{x \over 2}{\sin ^2}x = {x^2} + {x^{ - 2}};\,0 < x \le {\pi \over 2}$$ has

View Question The smallest positive integer n for which $${\left( {{{1 + i} \over {1 - i}}} \right)^n} = 1$$ is

View Question Find the real values of x and y for which the following equation is satisfied $$\,{{(1 + i)x - 2i} \over {3 + i}} + {{(2

View Question Given $$\alpha + \beta - \gamma = \pi ,$$ prove that
$$\,{\sin ^2}\alpha + {\sin ^2}\beta - {\sin ^2}\gamma = 2\s

View Question Given $$A = \left\{ {x:{\pi \over 6} \le x \le {\pi \over 3}} \right\}$$ and
$$f\left( x \right) = \cos x - x\left( {

View Question For all $$\theta $$ in $$\left[ {0,\,\pi /2} \right]$$ show that, $$\cos \left( {\sin \theta } \right) \ge \,\sin \,\le

View Question Let $$y = \sqrt {{{\left( {x + 1} \right)\left( {x - 3} \right)} \over {\left( {x - 2} \right)}}} $$
Find all the real

View Question Given $${n^4} < {10^n}$$ for a fixed positive integer $$n \ge 2,$$ prove that $${\left( {n + 1} \right)^4} < {10^{

View Question For what values of $$m,$$ does the system of equations
$$$\matrix{
{3x + my = m} \cr
{2x - 5y = 20} \cr
} $

View Question Find the solution set of the system
$$$\matrix{
{x + 2y + z = 1;} \cr
{2x - 3y - w = 2;} \cr
{x \ge 0;\,y

View Question Both the roots of the equation (x - b) (x - c) + (x - a) (x - c) + (x - a) (x - b) = 0 are always

View Question The least value of the expression $$2\,\,{\log _{10}}\,x\, - \,{\log _x}(0.01)$$ for x > 1, is

View Question If $$\,({x^2} + px + 1)\,$$ is a factor of $$(a{x^3} + bx + c)$$, then

View Question The interior angles of a polygon are in arithmetic progression. The smallest angle is $${120^ \circ }$$, and the common

View Question The point $$\,\left( {4,\,1} \right)$$ undergoes the following three transformations successively.
Reflection about the

View Question A straight line $$L$$ is perpendicular to the line $$5x - y = 1.$$ The area of the triangle formed by the line $$L$$ and

View Question A square is inscribed in the circle $${x^2} + {y^2} - 2x + 4y + 3 = 0$$. Its sides are parallel to the coordinate axes.

View Question Two circles $${x^2} + {y^2} = 6$$ and $${x^2} + {y^2} - 6x + 8 = 0$$ are given. Then the equation of the circle through

View Question Given $$y = {{5x} \over {3\sqrt {{{\left( {1 - x} \right)}^2}} }} + {\cos ^2}\left( {2x + 1} \right)$$; Find $${{dy} \ov

View Question $$ABC$$ is a triangle, $$P$$ is a point on $$AB$$, and $$Q$$ is point on $$AC$$ such that $$\angle AQP = \angle ABC$$. C

View Question $$ABC$$ is a triangle with $$\angle B$$ greater than $$\angle C.\,D$$ and $$E$$ are points on $$BC$$ such that $$AD$$ is

View Question In a $$\Delta ABC,\,\angle A = {90^ \circ }$$ and $$AD$$ is an altitude. Complete the relation $${{BD} \over {BA}} = {{A

View Question $$ABC$$ is a triangle. $$D$$ is the middle point of $$BC$$. If $$AD$$ is perpendicular to $$AC$$, then prove that
$$$\c

View Question $$ABC$$ is a triangle with $$AB=AC$$. $$D$$ is any point on the side $$BC$$. $$E$$ and $$F$$ are points on the side $$AB

View Question (i) $$PQ$$ is a vertical tower. $$P$$ is the foot and $$Q$$ is the top of the tower. $$A, B, C$$ are three points in the

View Question The probability that an event $$A$$ happens in one trial of an experiment is $$0.4.$$ Three independent trials of the ex

View Question Two events $$A$$ and $$B$$ have probabilities $$0.25$$ and $$0.50$$ respectively. The probability that both $$A$$ and $$

View Question ## Physics

Give the MKS units for each of the following quantities.
(i) Young's modulus
(ii) Magnetic Induction
(iii) Power of a le

View Question A rocket moves forward by pushing the surrounding air backwards.

View Question A block of mass 2 kg rests on a rough inclined plane making an angle of $$30^\circ $$ with the horizontal. The coefficie

View Question A ship of mass 3 $$ \times $$ 107 kg initially at rest, is pulled by a force of 5 $$ \times $$ 104 N through a distance

View Question Two masses of 1gm and 4 gm are moving with equal kinetic energies. The ratio of the magnitude of their linear momentum i

View Question If a machine is lubricated with oil

View Question