NEW
New Website Launch
Experience the best way to solve previous year questions with mock tests (very detailed analysis), bookmark your favourite questions, practice etc...

IIT-JEE 1984

Exam Held on Wed Apr 11 1984 09:00:00 GMT+0000 (Coordinated Universal Time)
Click View All Questions to see questions one by one or you can choose a single question from below.

Chemistry

2.68 $$\times$$ 10<sup>-3</sup> moles of a solution containing an ion A<sup>n+</...
Correct set of four quantum numbers for the valence (outermost) electron of rubi...
The increasing order (lowest first) for the values of e/m (charges/mass) for el...
Which electronic level would allow the hydrogen atom to absorb a photon but not ...
An isotone of $${}_{32}^{76}Ge$$ is
Many elements have non-integral atomic masses because:
When alpha particles are sent through a thin metal foil, most of them go straigh...
The electron energy in hydrogen atom is given by E = (-21.7 $$\times$$ 10<sup>-1...
On hybridization of one s and one p orbitals we get:
The total energy of one mole of an ideal monatomic gas at 27<sup>o</sup> is ____...
C<sub>p</sub> - C<sub>v</sub> for an ideal gas is _______
Equal weights of methane and hydrogen are mixed in an empty container at 25<sup>...
The hydration energy of Mg<sup>++</sup> is larger than that of:

Mathematics

There exists a value of $$\theta$$ between 0 and $$2\pi$$ that satisfies the e...
If the complex numbers, $${Z_1},{Z_2}$$ and $${Z_3}$$ represent the vertics of a...
$$\left( {1 + \cos {\pi \over 8}} \right)\left( {1 + \cos {{3\pi } \over 8}} \r... If 1,$${{a_1}}$$,$${{a_2}}$$......,$${a_{n - 1}}$$are the n roots of unity, t... Find the values of$$x \in \left( { - \pi , + \pi } \right)$$which satisfy the ... For real$$x$$, the function$$\,{{\left( {x - a} \right)\left( {x - b} \right)}...
If the product of the roots of the equation $$\,{x^2} - 3\,k\,x + 2\,{e^{2lnk}} ... If a &lt; b &lt; c &lt; d, then the roots of the equation (x - a) (x - c) + 2 ( ... The equation$$x - {2 \over {x - 1}} = 1 - {2 \over {x - 1}}$$has If$$\,{a^2} + {b^2} + {c^2} = 1$$, then ab + bc + ca lies in the interval The side AB, BC and CA of a triangle ABC have 3, 4 and 5 interior points respect... If$$p$$be a natural number then prove that$${p^{n + 1}} + {\left( {p + 1} \ri...
Given $${s_n} = 1 + q + {q^2} + ...... + {q^2};$$ <br>$${S_n} = 1 + {{q + 1} \o... The sum of integers from 1 to 100 that are divisible by 2 or 5 is ............ If$$a &gt; 0,\,b &gt; 0$$and$$\,c &gt; 0,$$prove that$$\,c &gt; 0,$$prove ... If$$n$$is a natural number such that <br>$$n = {p_1}{}^{{\alpha _1}}{p_2}{}^{...
If $$a,\,b$$ and $$c$$ are in A.P., then the straight line $$ax + by + c = 0$$ w...
Two equal sides of an isosceles triangle are given by the equations $$7x - y + 3... The lines 3x - 4y + 4 = 0 and 6x - 8y - 7 = 0 are tangents to the same circle. T... The locus of the mid-point of a chord of the circle$${x^2} + {y^2} = 4$$which ... The abscissa of the two points A and B are the roots of the equation$${x^2}\, +...
If $$\alpha$$ be a repeated root of a quadratic equation $$f(x)=0$$ and $$A(x),... For a triangle$$ABC$$it is given that$$\cos A + \cos B + \cos C = {3 \over 2}...
With usual notation, if in a triangle $$ABC$$; <br>$${{b + c} \over {11}} = {{c... The numerical value of$$\tan \left\{ {2{{\tan }^{ - 1}}\left( {{1 \over 5}} \ri...
For $$0 &lt; a &lt; x,$$ the minimum value of the function $$lo{g_a}x + {\log _x... Evaluate the following$$\int {{{dx} \over {{x^2}{{\left( {{x^4} + 1} \right)}^{...
Evaluate the following $$\int\limits_0^{{1 \over 2}} {{{x{{\sin }^{ - 1}}x} \ove... Given a function$$f(x)$$such that <br>(i) it is integrable over every interva... Find the area of the region bounded by the$$x$$-axis and the curves defined by ... Three identical dice are rolled. The probability that the same number will appea... A box contains$$24$$identical balls of which$$12$$are white and$$12$$are b... If$$M$$and$$N$$are any two events, the probability that exactly one of them ... In a certain city only two newspapers$$A$$and$$B$$are published, it is known...$$A, B, C$$and$$D,$$are four points in a plane with position vectors$$a, b, ...
The points with position vectors $$a+b,$$ $$a-b,$$ and $$a+kb$$ are collinear fo...

Physics

Four person K, L, M, N are initially at the four corners of a square of side d. ...
A projectile fired from the ground follows a parabolic path. The speed of the pr...
A block of mass 1 kg lies on a horizontal surface in a truck. The coefficient of...
A simple pendulum with a bob of mass m swings with an angular amplitude of 40^...
A body is moved along a straight line by a machine delivering constant power. Th...

Joint Entrance Examination

JEE Main JEE Advanced WB JEE