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IIT-JEE 1980

Exam Held on Fri Apr 11 1980 09:00:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

The modern atomic unit is based on the mass of ______.
The total no of electron present in 18 ml of water is ______.
M is molecular weight of KMnO<sub>4</sub>. The equivalent wight of KMnO<sub>4</s...
A hydrocarbon contains 10.5 g of carbon per gram of hydrogen. 1 litre of the hyd...
Find<br> <b>(i)</b> The total number of neutrons and <br> <b>(ii)</b> The total ...
A mixture contains NaCl and unknown chloride MCl.<br><br> <b>(i)</b> 1g of this ...
<b>(a)</b> One litre of a sample of hard water contains 1 mg of CaCl<sub>2</sub>...
<b>(i)</b>. A sample of MnSO<sub>4</sub>.4H<sub>2</sub>O is strongly heated in a...
A compound contains 28 percent of nitrogen and 72 percent of metal by weight. 3 ...
Element X is strongly electropositive and element Y is strongly electronegative....
Which of the following compounds are covalent?
The total number of electrons that take part in forming the bond in N<sub>2</sub...
Which of the following is soluble in water?
Anhydrous MgCl<sub>2</sub> is obtained by hydrated salt with ______.
HCL is added to the following oxides. Which one would give H<sub>2</sub>O<sub>2<...
Calcium is obtained by

Mathematics

Given $$A = {\sin ^2}\theta + {\cos ^4}\theta $$ then for all real values of $$...
The equation $$\,2{\cos ^2}{x \over 2}{\sin ^2}x = {x^2} + {x^{ - 2}};\,0 &lt; x...
The smallest positive integer n for which $${\left( {{{1 + i} \over {1 - i}}} \r...
Find the real values of x and y for which the following equation is satisfied $$...
Given $$\alpha + \beta - \gamma = \pi ,$$ prove that <br>$$\,{\sin ^2}\alpha...
Given $$A = \left\{ {x:{\pi \over 6} \le x \le {\pi \over 3}} \right\}$$ and ...
For all $$\theta $$ in $$\left[ {0,\,\pi /2} \right]$$ show that, $$\cos \left(...
Given $${n^4} &lt; {10^n}$$ for a fixed positive integer $$n \ge 2,$$ prove that...
Let $$y = \sqrt {{{\left( {x + 1} \right)\left( {x - 3} \right)} \over {\left( {...
For what values of $$m,$$ does the system of equations $$$\matrix{ {3x + my ...
Find the solution set of the system $$$\matrix{ {x + 2y + z = 1;} \cr {...
Both the roots of the equation (x - b) (x - c) + (x - a) (x - c) + (x - a) (x - ...
The least value of the expression $$2\,\,{\log _{10}}\,x\, - \,{\log _x}(0.01)$$...
If $$\,({x^2} + px + 1)\,$$ is a factor of $$(a{x^3} + bx + c)$$, then
The interior angles of a polygon are in arithmetic progression. The smallest ang...
The point $$\,\left( {4,\,1} \right)$$ undergoes the following three transformat...
A straight line $$L$$ is perpendicular to the line $$5x - y = 1.$$ The area of t...
A square is inscribed in the circle $${x^2} + {y^2} - 2x + 4y + 3 = 0$$. Its sid...
Two circles $${x^2} + {y^2} = 6$$ and $${x^2} + {y^2} - 6x + 8 = 0$$ are given. ...
Given $$y = {{5x} \over {3\sqrt {{{\left( {1 - x} \right)}^2}} }} + {\cos ^2}\le...
$$ABC$$ is a triangle with $$\angle B$$ greater than $$\angle C.\,D$$ and $$E$$ ...
$$ABC$$ is a triangle, $$P$$ is a point on $$AB$$, and $$Q$$ is point on $$AC$$ ...
In a $$\Delta ABC,\,\angle A = {90^ \circ }$$ and $$AD$$ is an altitude. Complet...
$$ABC$$ is a triangle. $$D$$ is the middle point of $$BC$$. If $$AD$$ is perpend...
$$ABC$$ is a triangle with $$AB=AC$$. $$D$$ is any point on the side $$BC$$. $$E...
(i) $$PQ$$ is a vertical tower. $$P$$ is the foot and $$Q$$ is the top of the to...
The probability that an event $$A$$ happens in one trial of an experiment is $$0...
Two events $$A$$ and $$B$$ have probabilities $$0.25$$ and $$0.50$$ respectively...

Physics

Give the MKS units for each of the following quantities. <p>(i) Young's modulus<...
A rocket moves forward by pushing the surrounding air backwards.
A ship of mass 3 $$ \times $$ 10<sup>7</sup> kg initially at rest, is pulled by ...
A block of mass 2 kg rests on a rough inclined plane making an angle of $$30^\ci...
If a machine is lubricated with oil
Two masses of 1gm and 4 gm are moving with equal kinetic energies. The ratio of ...

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