This practice AIEEE sovled paper will help you practice for the AIEEE 2009 main examination.

AIEEE Solved Papers

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Question

Let a, b, c be such that $b(a + c) \not = 0$ If

then the value of n is

Possible Answers

Selected	Possible Answer
	zero
	any integer
	any even integer
	any odd integer

Question

If the mean deviation of the numbers 1, 1 + d, 1 + 2d, ......, 1 +100 d from their mean is 255 , then the d is equal to

Possible Answers

Selected	Possible Answer
	20.2
	10.1
	10.0
	20.0

Question

If the roots of the equation bx^2 + cx + a = 0 be imaginary, then for all real values of x, the expression 3b^2 x^2 + 6bcx + 2c^2 is

Possible Answers

Selected	Possible Answer
	greater than 4ab
	less than – 4ab
	less than 4ab
	greater than – 4ab

Question

Let A and Bdenote the statements

A: $\cos \alpha + \cos \beta +\cos \gamma =0$
B: $\sin \alpha +\sin \beta +\sin \gamma =0$

if $\cos (\beta -\gamma)+$ $\cos (\gamma-\alpha)+$ $\cos (\alpha -\beta )=-\cfrac {3}{2}$ ,then

Possible Answers

Selected	Possible Answer
	both A and B are false
	A is false and B is false
	A is false and B is true
	both A and B are true

Question

The lines p(p^2 + 1) x - y +q = 0 and (p^2 + 1)^2 x+ (p^2 + 1)y + 2q = 0 are perpendicular to the common line for

Possible Answers

Selected	Possible Answer
	exactly one value of p
	no value of p
	more than two values of p
	exactly two values of p

Question

If A, B and C are three sets such that $A \cap B=A \cap C$ and $A \cup B =A \cup C$ then

Possible Answers

Selected	Possible Answer
	A = B
	$A \cup B = \phi$
	A = C
	B = C

Question

If $\vec u, \vec v, \vec w$ are noncoplanar vectors and p, q are real numbers, then the equality $[3 \vec u \, p\vec v \, p \vec w]$ $-[p \vec v\, \vec w \, q\vec u ]$ $- [ 2\vec w \,q\vec v\, q\vec u ] = 0$ holds for

Possible Answers

Selected	Possible Answer
	more than two but not all values of (p, q)
	exactly two values of (p, q)
	all values of (p, q)
	exactly one value of (p, q)

Question

Let $\cfrac{x-2}{2} = \cfrac{y-1}{-5} = \cfrac{z+2}{2}$ lie in the plane $x + 3y - \alpha z + \beta = 0.$ Then $(\alpha , \beta)$ equals

Possible Answers

Selected	Possible Answer
	(5, – 15)
	(– 5, 5)
	(– 6, 7)
	(6, – 17)

Question

From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. Then the number of such arrangements is

Possible Answers

Selected	Possible Answer
	at least 750 but less than 1000
	at least 500 but less than 750
	less than 500
	at least 1000

Question

$\overset {\pi}{\underset{0}{\int}} [cot x]dx$ where [.] denotes the greatest integer function, is equal to

Possible Answers

Selected	Possible Answer


	$-{\pi/2}$
	$\pi/2$

Question

For real let f(x)=x^3+5x+1, then

Possible Answers

Selected	Possible Answer
	is one-one but not onto R
	is one-one but onto R
	is onto onto R but not one-one
	is neither one-one nor onto R

Question

In a binomial distribution $B\bigg(n,p=\frac{1}{4}\bigg),$ If the probability of at least one sussess is greater then or equal to (9/10), then $n \quad$ is greater then

Possible Answers

Selected	Possible Answer
	$\cfrac {1}{\log_{10^4}-\log _{10^3}}$
	$\cfrac {1}{\log_{10^4}+\log _{10^3}}$
	$\cfrac {9}{\log_{10^4}-\log _{10^3}}$
	$\cfrac {4}{\log_{10^4}-\log _{10^3}}$

Question

If P and Q are the points of intersection of the circles $x^2+y^2+3x+7y+2p-5=0 \quad and \quad x^2+y^2+2x+2y-p^2=0$ , then there is a circle passing through P, Q and (1,1) for:

Possible Answers

Selected	Possible Answer
	exactly one value of p
	all values of p
	all except one value of p
	all except two values of p

Question

The projections of a vector on the three coordinate axis are 6,- 3, 2 respectively. The direction cosines of the vector are:

Possible Answers

Selected	Possible Answer
	$\frac{6}{7}, \frac{-3}{7}, \frac{2}{7}$
	$\frac{6}{5}, \frac{-3}{5}, \frac{2}{5}$
	$\frac{-6}{7}, \frac{-3}{7}, \frac{2}{7}$

Question

If $\big| Z-\frac{4}{z}\big| = 2,$ then the maximum value of | Z | is equal to

Possible Answers

Selected	Possible Answer
	$\sqrt{3}+1$

	$\sqrt{5}+1$
	$2+ \sqrt{2}$

Question

Three distinct points A, B and C are given in the 2dimensional coordinate plane such that the ratio of the distance of any one of them from the point (1, 0) to the distance from the point (–1, 0) is equal to (1 / 3) . Then the circumcentre of the triangle ABC is at the point

Possible Answers

Selected	Possible Answer

	$(\frac{5}{4},0)$
	$(\frac{5}{2},0)$
	$(\frac{5}{3},0)$

Question

The remainder left out when $8^{2n} - (62)^{2n + 1}$ is divided by 9 is

Possible Answers

Selected	Possible Answer
	7
	0
	2
	8

Question

The ellipse x^2 + 4y^2 = 4 is inscribed in a rectangle aligned with the coordinate axes, which in turn is inscribed in another ellipse that passes through the point (4, 0) . Then the equation of the ellipse is

Possible Answers

Selected	Possible Answer

Question

The sum to infinity of the series $1 + \frac{2}{3} + \frac{6}{3^2} +$ $\frac{10}{3^3} + \frac{14}{3^4} + .........$ is

Possible Answers

Selected	Possible Answer
	3
	2
	4
	6

Question

The differential equation which represents the family of curves $y = c_1 e^{c2^x} ,$ where c_1 and c_2 are arbitrary constants, is

Possible Answers

Selected	Possible Answer

Question

One ticket is selected at randon from 50 tickets numbered 00, 01, 02, ...., 49. Then the probability that the sum of the digits on the selected ticket is 8, given that the product of these digits is zero, equals:

Possible Answers

Selected	Possible Answer
	$\frac{1}{7}$
	$\frac{1}{14}$
	$\frac{1}{50}$
	$\frac{5}{14}$

Question

Let be an implicit function of defined by $x^ {2x} - 2x ^x cot y-1=0$ Then y’ (1) equals

Possible Answers

Selected	Possible Answer
	$-1$

	$\log 2$
	$- \log 2$

Question

The area of the region bounded by the parabola (y-2)^2 = x-1, the tangent to the parabola at the point (2, 3) and the x-axis is :

Possible Answers

Selected	Possible Answer
	12
	6
	9
	3

Question

Given P(x)= x^4 + ax^3 + bx^2 + cx + d such that x = 0 is the only real root of P'(x) = 0. If P(-1) < P (1), then in the interval [-1, 1] :

Possible Answers

Selected	Possible Answer
	P (-1) is not minimum but P (1) is the maximum of P
	neitherP (-1) is the minimum nor P (1) is the maximum of P
	P (-1) is the minimum and P (1) is the maximum of P
	P (-1) is the minimum but P (1) is not the maximum of P

Question

The shortest distance between the line y - x = 1 and the curve x = y^2 is :

Possible Answers

Selected	Possible Answer
	$\frac{2\sqrt{3}}{8}$
	$\frac{\sqrt{3}}{4}$
	$\frac{3\sqrt{2}}{5}$
	$\frac{3\sqrt{2}}{8}$

Question

Directions: Assertion Reason type questions. Question contains two statements:
Statement 1 (Assertion) and Statement 2 (Reason).
Each of the question also has four alternative choices, only one of which is the correct answer. You have to select the correct choice.
Let f(x) = (x + 1)^2 - 1 , $x \geq - 1.$
Statement 1: The set $x : f(x) = f^{-1}$ (x) = {0,-1}
Statement 2: f is a bijection.
(1) Statement 1 is true, Statement 2 is true; Statement 2 is a correct explanation for Statement 1.
(2) Statement 1 is true, Statement 2 is true; Statement 2 is not a correct explanation for Statement 1.
(3) Statement 1 is true, Statement 2 is false.
(4) Statement 1 is false, Statement 2 is true.

Possible Answers

Selected	Possible Answer
	1 or 2
	3 or 4
	2 or 3
	1 or 3

Question

Directions: Assertion Reason type questions. Question contains two statements:
Statement 1 (Assertion) and Statement 2 (Reason).
Each of the question also has four alternative choices, only one of which is the correct answer. You have to select the correct choice.
Let f(x)= x |x| and g(x) = sin x.
Statement -1 : gof is differentiable at x = 0 and its derivative is continuous at that point.
Statement -2 : gof is twice differentiable at x = 0.
(1) Statement 1 is true, Statement 2 is true; Statement 2 is a correct explanation for Statement 1.
(2) Statement 1 is true, Statement 2 is true; Statement 2 is not a correct explanation for Statement 1.
(3) Statement 1 is true, Statement 2 is false.
(4) Statement 1 is false, Statement 2 is true.

Possible Answers

Selected	Possible Answer
	4
	1
	3
	2 or 4

Question

Statement 1: The variance of first n even natural numbers is $\frac{n^2-1}{4}.$
Statement 2: The sum of first n natural numbers is $\frac{n(n+1)}{2}$ and the sum of squares of first n natural numbers is $\frac{n(n+1)(2n+1)}{6}.$
(1) Statement 1 is true, Statement 2 is true; Statement 2 is a correct explanation for Statement 1.
(2) Statement 1 is true, Statement 2 is true; Statement 2 is not a correct explanation for Statement 1.
(3) Statement 1 is true, Statement 2 is false.
(4) Statement 1 is false, Statement 2 is true.

Possible Answers

Selected	Possible Answer
	1
	2
	4
	3

Question

Statement 1: $\sim (p \leftrightarrow \sim q) is \operatorname{equivalent}$ to $p \leftrightarrow q.$
Statement 2: $\sim (p \leftrightarrow \sim q) is tautology.$
(1) Statement 1 is true, Statement 2 is true; Statement 2 is a correct explanation for Statement 1.
(2) Statement 1 is true, Statement 2 is true; Statement 2 is not a correct explanation for Statement 1.
(3) Statement 1 is true, Statement 2 is false.
(4) Statement 1 is false, Statement 2 is true.

Possible Answers

Selected	Possible Answer
	2
	1
	3
	4

Question

Let A be a 2 X 2 matrix.
Statement 1: adj (adj (A)) = A.
Statement 2: | adj A | = | A |.
(1) Statement 1 is true, Statement 2 is true; Statement 2 is a correct explanation for Statement 1.
(2) Statement 1 is true, Statement 2 is true; Statement 2 is not a correct explanation for Statement 1.
(3) Statement 1 is true, Statement 2 is false.
(4) Statement 1 is false, Statement 2 is true.

Possible Answers

Selected	Possible Answer
	1 or 3
	1 or 2
	2 or 3
	3 or 4

Question

This question contains Statement1 and Statement2 Of the four choices given after the statements, chooze the one that best describes the two statements.
Statement1 :For a charged particle moving from point P to point Q, the net work done by an electrostatic field on the particle is independent of the path connecting point P to point Q.
Statement 2 : The net work done by a conservative force on an object moving along a closed loop is zero.
(1) Statement1 is true, Statement2 is false.
(2) Statement1 is true, Statement2 is true; Statement 2 is the correct explanation of Statement1
(3) Statement1 is true, Statement2 is true; Statement 2 is not the correct explanation of Statement1
(4) Statement1 is false, Statement2 is true.

Possible Answers

Selected	Possible Answer
	3
	2
	4
	1

Question

The adj picture is a plot of binding energy pernucleon E_b

, against the nuclear mass M; A, B, C, D, E, F correspond to different nuclei. Consider four reactions:

$(i) \quad A+B \rightarrow C + \epsilon$
$(ii)\quad C \rightarrow A + B + \epsilon$
$(iii)\quad D + E \rightarrow F + \epsilon \quad and$
$(iv)\quad F \rightarrow D + E + \epsilon$
Where e is the energy released ? In which reactions is e positive?

Possible Answers

Selected	Possible Answer
	(ii) and (iv)
	(i) and (iii)
	(i) and (iv)
	(ii) and (iii)

Question

junction (D) shown in the figure can act as a rectifier. An alternating current source (V) is connected in the circuit.

The current (I) in the resistor® can be shown by:

Possible Answers

Selected	Possible Answer

Question

The logic circuit shown below has the input waveforms ‘A’ and ‘B’ as shown. Pick out the correct output waveform.

Output is :

Possible Answers

Selected	Possible Answer

Question

If x, v and a denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period T, then, which of the following does not change with time?

Possible Answers

Selected	Possible Answer
	$aT + 2\pi v$


	$a^2 T^2 + 4\pi^2 v^2$

Question

In an optics experiment, with the position of the object fixed, a student varies the position of a convex lenss and for each position, the screen is adjusted to get a clear image of the object. A graph between the object distance u and the image distance v, from the lens, is plotted using the same scale for the two axes. A straight line passing through the origin and making an angle of 45° with the xaxis meets the experimental curve at P. The coordinates of P will be:

Possible Answers

Selected	Possible Answer
	$(\cfrac{f}{2}, \cfrac{f}{2})$

Question

A thin uniform rod of length l and mass m is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is $\omega$ . Its centre of mass rise to a maximum height of

Possible Answers

Selected	Possible Answer
	$\cfrac{1}{6} \cfrac{l \omega}{g}$
	$\cfrac{1}{6} \cfrac{l^2 \omega^2}{g}$
	$\cfrac{1}{2} \cfrac{l^2 \omega^2}{g}$
	$\cfrac{1}{3} \cfrac{l^2 \omega^2}{g}$

Question

Let $P(r) = \cfrac{Q}{\pi R^4} \operatorname{r}$ be the charge density distribution for a solid sphere of radius R and total charge Q. For a point ‘p’ inside the sphere at distance r_1 from the centre of the sphere, the magnitude of electric field is:

Possible Answers

Selected	Possible Answer
	0
	$\cfrac{Q}{4\pi\epsilon_0 r_1 ^2}$
	$\cfrac{Q r_1 ^2}{3 \pi \epsilon _0 R^4}$
	$\cfrac{Q r_1 ^2}{4 \pi \epsilon _0 R^4}$

Question

The transition from the state n = 4 to n = 3 in a hydrogen like atom results in ultraviolet radiation. In frared radiation will be obtained in the transition from:

Possible Answers

Selected	Possible Answer
	$4 \rightarrow 2$
	$5 \rightarrow 4$
	$2 \rightarrow 1$
	$3 \rightarrow 2$

Question

One kg of a diatomic gas is at a pressure of 8 * 10^4 $J Nm^{-2}$ . The density of the gas is 4 kg $m^{-3}$ . What is the energy of the gas due to its thermal motion?

Possible Answers

Selected	Possible Answer

Question

This question contains Statement1 and Statement2. Of the four choices given after the statements, choose the one that best describes the two statements.

Statement 1 : The temperature dependence of resistance is usually given as R = R_0

$(1 + \alpha \Delta t)$ . The resistance of a wire changes from $100 \Omega$ to $150 \Omega$ when its temperature is increased from 27 ^0 C

. This implies $\alpha= 2.5 * 10^{-3}$ $/ ^{\circ}C$ .
Statement 2 : $R = R_0(1 + \alpha \Delta t)$ is valid only when the change in the temperature $\Delta T$ is small and $\Delta R = (R - R_0 ) << R_0$ .

Possible Answers

Selected	Possible Answer
	Statement1 is true, Statement 2 is true; Statement2 is not the correct explanation of Statement 1.
	Statement 1 is true, Statement 2 is false.
	Statement 1 is false, Statement2 is true.
	Statement 1 is true, Statement2 is true; Statement 2 is the correct explanation of Statement 1

Question

Directions: Question are based on the following paragraph. A current loop ABCD is held fixed on the plane of the paper as shown in the figure. The arcs BC (radius = b) and DA (radius = a) of the looop are joined by two straight wires AB and CD. A steady current I is flowing in the loop. Angle made by AB and CD at the origin O is 30°. Another straight thin wire with steady current I_1

flowing out of the plane of the paper is kept at the origin.

The magnitude of the magnetic field (B) due to the loop ABCD at the origin (O) is:

Possible Answers

Selected	Possible Answer
	$\cfrac{\mu_0 I}{4 \pi}$ $\Big[\cfrac{b-a}{ab} \Big ]$
	zero
	$\cfrac{\mu_0 I}{4 \pi}$ $\Big[\cfrac{2(b-a)+\pi}{3(a+b)} \Big ]$
	$\cfrac{\mu_0 I(b-a)}{24ab}$

Question

Due to the presence of the current I_1 at the origin:

Possible Answers

Selected	Possible Answer
	The magnitude of the net force on the loop is given by $\cfrac{\mu_ I I I_1}{24ab}(b-a)$
	The forces on AB and DC are zero.
	The magnitude of the net force on the loop is given by $\cfrac{I_1 I}{4\pi} \mu_0$ $\Big [ \cfrac{2(b-a) + \pi}{3(a + b)} \Big ]$
	The forces on AD and BC are zero.

Question

A mixture of light, consisting of wavelength 590 nm and an unknown wavelength, illuminates Young’s double slit and gives rise to two overlapping interference patterns on the screen. The central maximum of both lights coincide. Further, it is observed that the third bright fringe of known light coincides with the 4th bright fringe of the unknown light. From this data, the wavelength of the unknown light is

Possible Answers

Selected	Possible Answer
	776.8 nm
	442.5 nm
	885.0
	393.4 nm

Question

Two points P and Q are maintained at the potentials of 10 V and –4V, respectively. The work done in moving 100 electrons from P to Q is :

Possible Answers

Selected	Possible Answer
	$-2.24 * 10^ {-16} J$
	$-9.60 * 10^{-17} J$
	$9.60 * 10^ {17} J$
	$2.24 * 10^{-16} J$

Question

The surface of a metal is illuminated with the light of 400 nm. The kinetic energy of the ejected photoelectrons was found to be 1.68 eV. The work function of the metal is :
(hc = 1240 eV. nm)

Possible Answers

Selected	Possible Answer
	1.41 eV
	3.09 eV
	1.68 eV
	1.51 eV

Question

A particle has an initial velocity of $3\hat{i } + 4\hat{j}$ and an acceleration of $0.4 \hat{i} + 0. 3\hat{j}$ . Its speed after 10 s is :

Possible Answers

Selected	Possible Answer
	$2\sqrt{2}$ units
	7 units
	8.5 units
	10 units

Question

A motor cycle starts from rest and accelerates along a straight path at 2 m / s^2 . At the starting point of the motor cycle there is a stationary electric siren. How far has the motor cycle gone when the driver hears the frequency of the siren at 94% of its value when the motor cycle was at rest ? (Speed of sound = 330 $ms^{-1}$ )

Possible Answers

Selected	Possible Answer
	196 m
	147 m
	98
	49 m

Question

Consider a rubber ball freely falling from a height h = 4.9 m onto a horizontal elastic plate. Assume that the duration of collision is negligible and the collision with the plate is totally elastic. Then the velocity as a function of time and the height as

Possible Answers

Selected	Possible Answer
	1 and 2
	2 and 3
	3 and 4
	4 and 1

Question

A charge Q is placed at each of the opposite corners of a square. A charge q is place at each of the other two corners. If the net electrical force on Q is zero, then Q / q equals :

Possible Answers

Selected	Possible Answer
	$-(1/ \sqrt{2})$
	$-2\sqrt{2}$
	1
	-1

Question

A long metallic bar is carrying heat from one of its ends to the other end under steadystate. The variation of temperature $\theta$ along the length x of the bar from its hot end is best described by which of the following figures ?

Possible Answers

Selected	Possible Answer

Question

A transparent solid cylindrical rod has a refractive index of $2 \sqrt{3}$ . it surrounded by air. A light ray is incident at the midpoint of one end of the rod as shown in the figure.

The incident angle q for which the light ray grazes along the wall of the rod is :

Possible Answers

Selected	Possible Answer
	$sin^{-1} (1 / 2)$
	$sin^{-1} (1 / \sqrt{3})$
	$sin^{-1} (\sqrt{2} / 2)$
	$sin^{-1} (2 /\sqrt{3})$

Question

Three sound waves of equal amplitudes have frequencies (v – 1), v, (v + 1). They superpose to give beats. The number of beats produced per second will be :

Possible Answers

Selected	Possible Answer
	2
	1
	4
	3

Question

The height at which the acceleration due to gravity becomes g / 9 (where g = the acceleration due to gravity on the surface of the earth) in terms of R, the radius of the earth, is :

Possible Answers

Selected	Possible Answer
	R / 2
	$\sqrt{2} R$
	$R / \sqrt{2}$
	2R

Question

Two wires are made of the same material and have the same volume. However wire 1 has crosssectional area A and wire 2 has crosssectional area 3 A. If the length of wire 1 increases by $\Delta x$ on applying force F, how much force is needed to stretch wire 2 by the same amount ?

Possible Answers

Selected	Possible Answer
	4 F
	9 F
	F
	6 F

Question

In a experiment the angles are required to be measured using an instrument. 29 divisions of the main scale exactly coincide with the 30 divisions of the vernier scale. If the smallest division of the main scale is half–a–degree $(=0.5^{\circ})$ , then the least count of the instrument is :

Possible Answers

Selected	Possible Answer
	one degree
	half minute
	half degree
	one minute

Question

An inductor of inductance L = 400 mH

and resistors of resistances $R_1 =2 \Omega$ and $R_2 = 2 \Omega$ are connected to a battery of emf 12 V as shown in the figure. The internal resistance of the battery is negligible. The switch S is closed at t = 0

. The potential drop across L as a function of time is :

Possible Answers

Selected	Possible Answer
	$6e^{-5t} V$
	$(12 / t)e^{-3t} V$
	$6(1- e^{-t/0.2} ) V$
	$12 e^{-5t} V$

Question

Direction : Question are based on the following paragraph. Two moles of helium gas are taken over the cycle ABCDA, as shown in the P – T diagram.

Assuming the gas to be ideal the work done on the gas in taking it from A to B is :

Possible Answers

Selected	Possible Answer
	400 R
	300 R
	500 R
	200 R

Question

The work done on the gas in taking it from D to A is :

Possible Answers

Selected	Possible Answer
	+414 R
	–690 R
	+690 R
	–414 R

Question

The net work done on the gas in the cycle ABCDA is :

Possible Answers

Selected	Possible Answer
	Zero
	1904 R
	1076 R
	276 R

Question

Knowing that the Chemistry of lanthanoids (Ln) is dominated by its +3 oxidation state, which of the following statements is incorrect?

Possible Answers

Selected	Possible Answer
	Ln (III) hydroxides are mainly basic in character
	The ionic sizes of Ln (III) decrease in general with increasing atomic number
	ecause of the large size of the Ln (III) ions the bonding in its compounds is predominently ionic in character.
	Ln (III) compounds are generally colourless

Question

A liquid was mixed with ethanol and a drop of concentrated H_2SO_4 was added. A compound with a fruity smell was formed. The liquid was:

Possible Answers

Selected	Possible Answer

Question

Arrange the carbanions, $(CH_3)_3 \overline{C}$ , $\overline{C}Cl_3$ , $(CH_3)_2 \overline{C}H$ , $C_6 H_5 \overline{C}H_2$ , in order of their decreasing stability:

Possible Answers

Selected	Possible Answer
	$C_6 H_5 \overline{C}H_2 > \overline{C}Cl_3$ $>(CH_3)_3 \overline{C}>$ $(CH_3)_2 \overline{C} H$
	$(CH_3)_3 \overline{C}$ $> (CH_3)_2 \overline{C}H$ $> C_6 H_5 \overline{C} H_2$
	$(CH_3)_2 \overline{C}H$ $> \overline{C}Cl_3$ $> C_6 H_5 \overline{C}H_2$ $> (CH_3)_3 \overline{C}$
	$\overline{C}Cl_3$ $> C_6 H_5 \overline{C}H_2$ $>(CH_3)_2 \overline{C}H$

Question

The alkene that exhibits geometrical isomerism is :

Possible Answers

Selected	Possible Answer
	2 – methyl propene
	2 – methyl – 2 – butene
	2 – butene
	Propene

Question

In which of the following arrangements, the sequence is not strictly according to the property written against it?

Possible Answers

Selected	Possible Answer
	: increasing oxidising power
	: increasing first ionization enthalpy
	: increasing acid strength
	: increasing basic strength

Question

The major product obtained on interaction of phenol with sodium hydroxide and carbon dioxide is:

Possible Answers

Selected	Possible Answer
	Benzoic acid
	Phthalic acid
	Salicylaldehyde
	Salicylic acid

Question

Which of the following statements is incorrect regarding physisorptions?

Possible Answers

Selected	Possible Answer
	Under high pressure it results into multi molecular layer on adsorbent surface
	Enthalpy of adsorption $(\Delta H_{adsorption})$ is low and positive
	It occurs because of van der Waal’s forces
	More easily liquefiable gases are adsorbed readily

Question

Which of the following on heating with aqueous KOH, produces acetaldehyde?

Possible Answers

Selected	Possible Answer

Question

In an atom, an electron is moving with a speed of 600 m / s with an accuracy of 0.005%. Certainity with which the position of the electron can be located is ( $h = 6.6 * 10^{-34}$ kg $m^2 s^{-1}$ , mass of electron, $e_m = 9.1 * 10^{-31}$ kg):

Possible Answers

Selected	Possible Answer
	$5.10 * 10^{-3}$ m
	$1.92 * 10^{-3}$ m
	$1.52 * 10^{-4}$ m
	$3.84 * 10^{[-3}$ m

Question

In a fuel cell methanol is used as fuel and oxygen gas is used as an oxidizer. The reaction is $CH_3OH(l) + 3/2 O_2{g}$ $\rightarrow CO_2{g} + 2H_2 O(l)$
At 298 K standard Gibb’s energies of formation for CH_3 OH(l) , and CO_2 (g) are – 166.2, –237.2 and –394.4 kJ $mol^{-1}$ respectively. If standard enthalpy of combustioin of methanol is –762 kJ $mol^{-1}$ , efficiency of the fuel cell will be:

Possible Answers

Selected	Possible Answer
	87%
	97%
	80%
	90%

Question

Two liquids X and Y form an ideal solution. At 300 K, vapour pressure of the solution containing 1 mol of X and 3 mol of Y is 550 mm Hg. At the same temperature, if 1 mol of Y is further added to this solution, vapour pressure of the solution increases by 10 mm Hg. Vapour pressure (in mm Hg) of X and Y in their pure states will be, respectively:

Possible Answers

Selected	Possible Answer
	400 and 600
	500 and 600
	300 and 400
	200 and 300

Question

The half life period of a first order chemical reaction is 6.93 minutes. The time required for the completion of 99% of the chemical reaction will be (log 2 = 0.301) :

Possible Answers

Selected	Possible Answer
	46.06 minutes
	230.3 minutes
	23.03 minutes
	460.6 minutes

Question

Given $E^{\circ} _{Fe3+/ Fe}$ $= - 0.036 V, E^{\circ} _{Fe2+/ Fe}$ = - 0.439 V .
The value of standard electrode potential for the change, $Fe^{3+}_{(aq)} + e^{-} _{(aq)}$ $\rightarrow Fe^{2+}_{(aq)}$ will be :

Possible Answers

Selected	Possible Answer
	– 0.072 V
	0.770 V
	0.385 V
	– 0.270 V

Question

On the basis of the following thermochemical data: $( \Delta f G^{\circ} H^+_{(aq)}=0)$
H_2 O (l)

$\rightarrow H^+ _{(aq)} + OH^- _{(aq)}$ ;
$\Delta H = \operatorname{57.32} kJ$
H_2(g)

$\rightarrow ^{1/2} O_2$ (g) + H_2O(l)

; $DH = - \operatorname{286.20} kJ$
The value of enthalpy of formation of OH^-

ion at $25^{\circ} C$ is:

Possible Answers

Selected	Possible Answer
	– 22.88 kJ
	– 343.52 kJ
	+228.88 kJ
	– 228.88 k

Question

Copper crystallises in fcc with a unit cell length of 361 pm. What is the radius of copper atom ?

Possible Answers

Selected	Possible Answer
	157 pm
	108 pm
	127 pm
	181 pm

Question

Which of the following has an optical isomer?

Possible Answers

Selected	Possible Answer

	$[CO(en) (NH_3)_2 ]^{2+}$
	$[CO(H_2 O)_4 (en)]^{3+}$
	$[CO(en)_2 (NH_3)_2]^{3+}$

Question

Solid

is gradually dissolved in a $1.0 * 10^{-4}$ $M\operatorname{Na_2 CO_3}$ solution. At what concentration of $Ba^{2+}$ will a precipitate begin to form?
$(K_{sp} \,for\,BaCO_3=5.1*10^{-9})$

Possible Answers

Selected	Possible Answer
	$8.1 * 10^{-7}$ M
	$8.1 * 10^{-8} M$
	$4.1 * 10^{-5} M$
	$5.1 * 10^{-5} M$

Question

Which one of the following reactions of Xenon compounds is not feasible?

Possible Answers

Selected	Possible Answer
	$3XeF_4 + 6H_2 O \rightarrow 2Xe + XeO_3 + 12 HF + 1.5 O_2$
	$XeO_3 + 6HF \rightarrow XeF_6 + 3H_2 O$
	$XeF_4 + Rb F \rightarrow Rb[XeF_7]$
	$\rightarrow 2Xe + 4HF^3 + O_2$

Question

Using MO theory predict which of the following species has the shortest bond length?

Possible Answers

Selected	Possible Answer
	$O_2 ^{2+}$


	$O_2 ^{2-}$

Question

In context with the transition elements, which of the following statements is incorrect?

Possible Answers

Selected	Possible Answer
	In addition to the normal oxidation states, the zero oxidation state is also shown by these elements in complexes.
	In the highest oxidation states, the transition metal show basic character and form cathonic complexes.
	In the higest oxidation states of the first five transition elements (Sc to Mn), all the 4s and 3d electrons are used for bonding.
	Once the d 5 configuration is exceeded, the tendency to involves all the 3d electronss in bonding decreases.

Question

Calculate the wavelength (in nanometer) associated with a proton moving at $1.0 * 10^3 ms^{-1}$
$(\operatorname{Mass} of proton = 1.67 * 10^{-27}kg$ and $h = 6.63 * 10^{-34} Js) :$

Possible Answers

Selected	Possible Answer
	0.40 nm
	0.032 nm
	14.0 nm
	2.5 nm

Question

A binary liquid solution is prepared by mixing nheptane and ethanol. Which one of the following statments is correct regarding the behaviour of the solution?

Possible Answers

Selected	Possible Answer
	The solution is nonideal, shownign +ve deviation from Raoult’s Law.
	The solution is nonideal, showing –ve deviation from Raoult’s Law.
	The solution formed is an ideal solution
	nheptane shows +ve deviation while ethanol shows – ve deviation from Raoult’s Law.

Question

The number of stereoisomers possible for a compound of the moleuclar formula CH_3 - CH = CH - CH(OH)-Me

is :

Possible Answers

Selected	Possible Answer
	3
	2
	6
	4

Question

The IUPAC name of neopentane is :

Possible Answers

Selected	Possible Answer
	2-methylpropane
	2,2-dimethylbutane
	2,2-dimethylpropane
	2-methylbutane

Question

The set representing the correct order of ionic radius is :

Possible Answers

Selected	Possible Answer
	$>Na^+ > Mg^{2+}$ $> Be^{2+}$
	$Li^{+}M$ $Be^{2+}$ $> Mg^{ 2+}$
	$Mg^{2+}$ $> Be^{2+}$
	$Na^{+}$ $> Li^{+}$ $> Mg^{2+}$ $> Be^{2+}$

Question

The two functional groups present in a typical carbohydrate are :

Possible Answers

Selected	Possible Answer
	$>C=O\quad and -OH$
	$-CHO\quad and - COOH$
	$- OH\quad and -COOH$
	$- OH\quad and - CHO$

Question

The bond dissociation energy of B-F in BF_3 is $646 kJ \, mol^{-1}$ whereas that of C-F in CF_4 is $515 kJ mol^{-1}$ . The correct reason for higher B F bond dissociation energy as compared to that of C-F is :

Possible Answers

Selected	Possible Answer
	significant $p\pi - p\pi$ interaction between B and F in whereas there is no possibility of such interaction between C and F in .
	lower degree of $p \pi p\pi$ interaction between B and F in than that between C and F in .
	stronger s bond between B and F in as compared to that between C and F in.
	smaller size of Batom as compared to that of Catom.

Question

In Cannizzaro reaction given below

the slowest step is :

Possible Answers

Selected	Possible Answer
	the attack of :O H at the carboxyal group
	the abstraction of proton from the carboxylic group
	the deprotonation of
	the transfer of hydride to the carbonyl group