IIT-JEE 1981

Paper was held on
Sat, Apr 11, 1981 9:00 AM

## Chemistry

If 0.50 mol of BaCl2 is mixed with 0.20 mol of Na3PO4, the maximum amount of Ba3(PO4)2 that can be formed is

View Question 1 mole of N2H4 loses 10 moles of electrons to form a new compound Y. assuming that all nitrogen appears in the new compo

View Question Balance the following Equations:
(i) Cu2O + H+ + $$NO_3^ - \to $$ Cu2+ + NO + H2O
(ii) K4[Fe(CN)6] + H2SO4 + H2O $$\to$

View Question A 1.00 gm sample of H2O2 solution containing X percent H2O2 by weight requires X ml of a KMnO4 solution for complete ox

View Question Rutherford's experiment on scattering of $$\alpha-particles$$ showed for the first time that the atom has

View Question The energy of the electron in the second and the third Bohr's orbits of the hydrogen atom is -5.42 $$\times$$ 10-12 erg

View Question The correct order of second ionisation potential of carbon, nitrogen, oxygen and fluorine is

View Question The angle between two convalent bonds is maximum in ________. (CH4, H2O, CO2)

View Question If a molecule MX3 has zero dipole moment, the sigma bonding orbitals used by M (atomic number < 21) are

View Question Equal weights of methane and oxygen are mixed in an empty container at 25oC. The fraction of the total pressure exerted

View Question The temperature at which a real gas obeys the ideal gas aws over a wide range of pressure is

View Question The ratio of root mean square velocity to average velocity of a gas molecule at a particular temperature is

View Question A solution of sodium metal in liquid ammonia is strongly reducing due to the presence of

View Question Give reasons of the following:
Sodium carbonate is made by Solvay process but the same process is not extended to the ma

View Question The vapour pressure of pure benzene is 639.7 mm of mercury and the vapour of a solution of a solute in benzene at the sa

View Question ## Mathematics

Suppose $${\sin ^3}\,x\sin 3x = \sum\limits_{m = 0}^n {{C_m}\cos \,mx} $$ is an identity in x, where C0, C1 ,....Cn are

View Question The general solution of the trigonometric equation sin x+cos x=1 is given by:

View Question For complex number $${z_1} = {x_1} + i{y_1}$$ and $${z_2} = {x_2} + i{y_2},$$ we write $${z_1} \cap {z_2},\,\,if\,\,{x_1

View Question The complex numbers $$z = x + iy$$ which satisfy the equation $$\,\left| {{{z - 5i} \over {z + 5i}}} \right| = 1$$ lie o

View Question Let the complex number $${{z_1}}$$, $${{z_2}}$$ and $${{z_3}}$$ be the vertices of an equilateral triangle. Let $${{z_0}

View Question For every integer n > 1, the inequality $${(n!)^{1/n}} < {{n + 1} \over 2}$$ holds.

View Question Five balls of different colours are to be placed in there boxes of different size. Each box can hold all five. In how ma

View Question The area enclosed within the curve $$\left| x \right| + \left| y \right| = 1$$ is .................

View Question Let A be the centre of the circle $${x^2}\, + \,{y^2}\, - \,2x\,\, - 4y\, - 20 = 0\,$$. Suppose that the tangents at the

View Question Find the equations of the circle passing through (- 4, 3) and touching the lines x + y = 2 and x - y = 2.

View Question The equation $${{{x^2}} \over {1 - r}} - {{{y^2}} \over {1 + r}} = 1,\,\,\,\,r > 1$$ represents

View Question Each of the four inequalties given below defines a region in the $$xy$$ plane. One of these four regions does not have t

View Question Suppose that the normals drawn at three different points on the parabola $${y^2} = 4x$$ pass through the point $$(h, k)$

View Question Let $$y = {e^{x\,\sin \,{x^3}}} + {\left( {\tan x} \right)^x}$$. Find $${{dy} \over {dx}}$$

View Question Let the angles $$A, B, C$$ of a triangle $$ABC$$ be in A.P. and let $$b:c = \sqrt 3 :\sqrt 2 $$. Find the angle $$A$$.

View Question Let $$a, b, c$$ be positive real numbers Let
$$\theta = {\tan ^{ - 1}}\sqrt {{{a\left( {a + b + c} \right)} \over {bc}

View Question Find the value of : $$\cos \left( {2{{\cos }^{ - 1}}x + {{\sin }^{ - 1}}x} \right)$$ at $$x = {1 \over 5}$$, where
$$0

View Question Use the function $$f\left( x \right) = {x^{1/x}},x > 0$$. to determine the bigger of the two numbers $${e^\pi }$$ and

View Question Let $$x$$ and $$y$$ be two real variables such that $$x>0$$ and $$xy=1$$. Find the minimum value of $$x+y$$.

View Question For all $$x$$ in $$\left[ {0,1} \right]$$, let the second derivative $$f''(x)$$ of a function $$f(x)$$ exist and satisfy

View Question Evaluate $$\int {\left( {{e^{\log x}} + \sin x} \right)\cos x\,\,dx.} $$

View Question The value of the definite integral $$\int\limits_0^1 {\left( {1 + {e^{ - {x^2}}}} \right)} \,\,dx$$

View Question Let $$a, b, c$$ be non-zero real numbers such that
$$\int\limits_0^1 {\left( {1 + {{\cos }^8}x} \right)\left( {a{x^2} +

View Question Find the area bounded by the curve $${x^2} = 4y$$ and the straight

View Question Show that : $$\mathop {\lim }\limits_{n \to \infty } \left( {{1 \over {n + 1}} + {1 \over {n + 2}} + .... + {1 \over {6n

View Question For a biased die the probabilities for the different faces to turn up are given below :
This die tossed and you are to

View Question An anti-aircraft gun can take a maximum of four shots at an enemy plane moving away from it. The probabilities of hitti

View Question Let $$\overrightarrow A ,\overrightarrow B ,\overrightarrow C $$ be vectors of length $$3, 4, 5$$ respectively. Let $$\o

View Question Let $$\overrightarrow A ,\overrightarrow B $$ and $${\overrightarrow C }$$ be unit vectors suppose that $$\overrightarro

View Question The scalar $$\overrightarrow A .\left( {\overrightarrow B + \overrightarrow C } \right) \times \left( {\overrightarrow

View Question ## Physics

A gas bubble, from an explosion under water, oscillates with a period T proportional to padbEc. Where 'P' is the static

View Question When a person walks on a rough surface, the frictional force exerted by the surface on the person is opposite to the di

View Question