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IIT-JEE 1985

Exam Held on Thu Apr 11 1985 09:00:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

Five ml of 8N nitric acid, 4.8ml of 5N hydrochloric acid and a certain volume of...
Bohr Model can explain
The radius of an atomic nucleus is of the order of
Electromangnetic radiation with maximum wavelength is:
Give reasons why the ground state outermost electronic configuration of silicon ...
What is the maximum number of electrons that may be present in all atomic orbita...
On Mulliken scale, the average of ionization potential and electron affinity is ...
Arrange the following in:<br> Decreasing ionic size:<br> Mg<sup>2+</sup>, O<sup>...
Arrange the following in:<br> Increasing first ionisation potential :<br> Mg, Al...
Arrange the following in:<br> Increasing acidic property:<br> ZnO, Na<sub>2</sub...
All molecules with polar bonds have dipole moment.
SnCl<sub>2</sub> is a non-linear molecule
The molecule having one unpaired electron is
How many sigma bonds and how many pi-bonds are present in a benzene molecule?
Kinetic Energy of a Molecule is zero at 0<sup>o</sup>C.
A gas in a closed container will exert much higher pressure due to gravity at th...
Rate of diffusion of a gas is
Calculate the root mean square velocity of ozone kept in a closes vessel at 20<s...
Sodium dissolved in liquid ammonia conducts electricity because ________.
Hydrogen gas will not reduce
Molecular formula of Glauber's salt is:
The oxide that gives hydrogen peroxide on treatment with a dilute acid is
Write down the balanced equations for the reaction when:<br> Calcium phosphate i...

Mathematics

If three complex numbers are in A.P. then they lie on a circle in the complex pl...
If $$a,\,b,\,c$$ and $$u,\,v,\,w$$ are complex numbers representing the vertics ...
If $${z_1}$$ = a + ib and $${z_2}$$ = c + id are complex numbers such that $$\le...
Solve for $$x$$ ; $${\left( {5 + 2\sqrt 6 } \right)^{{x^2} - 3}} + {\left( {5 ...
If $${n_1}$$, $${n_2}$$,.......$${n_p}$$ are p positive integers, whose sum is a...
If $$P(x) = a{x^2} + bx + c\,\,and\,\,Q(x) = - a{x^2} + dx + c$$, where $$ac \n...
If $${\log _{0.3}}\,(x\, - \,1) &lt; {\log _{0.09}}(x - 1)$$, then x lies in the...
The product of any r consecutive natural numbers is always divisible by r!
Use method of mathematical induction $${2.7^n} + {3.5^n} - 5$$ is divisible by $...
7 relatives of a man comprises 4 ladies and 3 gentlemen ; his wife has also 7 re...
If $$a,\,b,\,c$$ are in GP., then the equations $$\,\,\alpha {x^2} + 2bx + c = 0...
Find the sum of the series : $$$\sum\limits_{r = 0}^n {{{\left( { - 1} \right)}^...
The orthocentre of the triangle formed by the lines $$x + y = 1,\,2x + 3y = 6$$ ...
Three lines $$px + qy + r = 0$$, $$qx + ry + p = 0$$ and $$rx + py + q = 0$$ are...
One of the diameters of the circle circumscribing the rectangle $$ABCD$$ is $$4y...
Two sides of rhombus $$ABCD$$ are parallel to the lines $$y = x + 2$$ and $$y = ...
Let $${x^2} + {y^2} - 4x - 2y - 11 = 0$$ be a circle. A pair of tangentas from t...
From the origin chords are drawn to the circle $${(x - 1)^2} + {y^2} = 1$$. The ...
No tangent can be drawn from the point (5/2, 1) to the circumcircle of the trian...
If $${f_r}\left( x \right),{g_r}\left( x \right),{h_r}\left( x \right),r = 1,2,3...
If $$f\left( x \right) = {\log _x}\left( {In\,x} \right),$$ then $$f'\left( x \r...
The set of all real numbers $$a$$ such that $${a^2} + 2a,2a + 3$$ and $${a^2} + ...
In a triangle $$ABC$$, if cot $$A$$, cot $$B$$, cot $$C$$ are in A.P., then $${a...
A ladder rests against a wall at an angle $$\alpha $$ to the horizintal. Its foo...
In a triangle $$ABC$$, the median to the side $$BC$$ is of length $$${1 \over {...
Find all the tangents to the curve <br>$$y = \cos \left( {x + y} \right),\,\, -...
Let $$f\left( x \right) = {\sin ^3}x + \lambda {\sin ^2}x, - {\pi \over 2} &lt;...
Evaluate the following $$\int {\sqrt {{{1 - \sqrt x } \over {1 + \sqrt x }}dx} }...
For any integer $$n$$ the integral ........... <br>$$\int\limits_0^\pi {{e^{{{\...
Sketch the region bounded by the curves $$y = \sqrt {5 - {x^2}} $$ and $$y = \le...
Evaluate the following : $$\,\,\int\limits_0^{\pi /2} {{{x\sin x\cos x} \over {{...
A box contains $$100$$ tickets numbered $$1, 2, ....., 100.$$ Two tickets are ch...
$$P\left( {A \cup B} \right) = P\left( {A \cap B} \right)$$ if and only if the r...
In a multiple-choice question there are four alternative answers, of which one o...
If $$\left| {\matrix{ a &amp; {{a^2}} &amp; {1 + {a^3}} \cr b &amp; {{b^...
If $$\overrightarrow A \overrightarrow {\,B} \overrightarrow {\,C} $$ are three ...
If $$\overrightarrow A = \left( {1,1,1} \right),\,\,\overrightarrow C = \left(...

Physics

Plank' constant has dimension __________.
Two identical trains are moving on rails along the equator on the earth in oppos...
A uniform chain of length L and mass M is lying on a smooth table and one third ...

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