JEE Mains Aieee 2009 Question Paper Question Paper with Solutions | JEE Main Mock Test | JeeMate

Q 1PhysicsSection A • MCQwave optics

+4 / -1

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

4

th bright fringe of the unknown light. From this data, the wavelength of the unknown light is :

A

885.0

nm

B

442.5

nm

C

776.8

nm

D

393.4

nm

Q 2PhysicsSection A • MCQatoms and nuclei

+4 / -1

qImage-nuclear-fission-and-fusion-and-binding-energy-atoms-and-nuclei-modern-physics-Jeemate

The above is a plot of binding energy per nucleon ${E_b},$ against the nuclear mass $M;A,B,C,D,E,F$ correspond to different nuclei. Consider four reactions :
$\eqalign{ & \left( i \right)\,\,\,\,\,\,\,\,\,\,A + B \to C + \varepsilon \,\,\,\,\,\,\,\,\,\,\left( {ii} \right)\,\,\,\,\,\,\,\,\,\,C \to A + B + \varepsilon \,\,\,\,\,\,\,\,\,\, \cr & \left( {iii} \right)\,\,\,\,\,\,D + E \to F + \varepsilon \,\,\,\,\,\,\,\,\,\,\left( {iv} \right)\,\,\,\,\,\,\,\,\,F \to D + E + \varepsilon ,\,\,\,\,\,\,\,\,\,\, \cr}$

where $\varepsilon$ is the energy released? In which reactions is $\varepsilon$ positive?

A

(i)

and

(iii)

B

(ii)

and

(iv)

C

(ii)

and

(iii)

D

(i)

and

(iv)

Q 3PhysicsSection A • MCQalternating current

+4 / -1

An inductor of inductance

L=400

mH

and resistors of resistance

{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 : qImage-growth-and-decay-of-current-alternating-current-electricity-Jeemate

A

{{12} \over t}{e^{ - 3t}}V

B

6\left( {1 - {e^{ - t/0.2}}} \right)V

C

12{e^{ - 5t}}V

D

6{e^{ - 5t}}V

Q 4PhysicsSection A • MCQelectrostatics

+4 / -1

Two points

P

and

Q

are maintained at the potentials of

10

V

and

-4

V

, respectively. The work done in moving

100

electrons from

P

to

Q

is :

A

9.60 \times {10^{ - 17}}J

B

- 2.24 \times {10^{ - 16}}J

C

2.24 \times {10^{ - 16}}J

D

- 9.60 \times {10^{ - 17}}J

Q 5PhysicsSection A • MCQwaves

+4 / -1

A motor cycle starts from rest and accelerates along a straight path at

2m/{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\,m{s^{ - 1}}

)

A

98

m

B

147

m

C

196\,m

D

49

m

Q 6PhysicsSection A • MCQray optics

+4 / -1

In an optics experiment, with the position of the object fixed, a student varies the position of a convex lens 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^ \circ }

with the

x

-axis meets the experimental curve at

P.

The coordinates of

P

will be :

A

\left( {{f \over 2},{f \over 2}} \right)

B

\left( {f,f} \right)

C

\left( {4f,4f} \right)

D

\left( {2f,2f} \right)

Q 7PhysicsSection A • MCQheat and thermodynamics

+4 / -1

Statement - 1: The temperature dependence of resistance is usually given as

R = {R_0}\left( {1 + \alpha \,\Delta t} \right).

The resistance of wire changes from

100\Omega

to

150\Omega

when its temperature is increased from

{27^ \circ }C

to

{227^ \circ }C

. This implies that

\alpha = 2.5 \times {10^{ - 3}}/C.

Statement - 2: $R = {R_0}\left( {1 + \alpha \,\Delta t} \right)$ is valid only when the change in the temperature $\Delta T$ is small and $\Delta T = \left( {R - {R_0}} \right) < < {R_0}.$

A

Statement - 1 is true, Statement - 2 is true; Statement - 2 is the correct explanation of Statement - 1

B

Statement - 1 is true, Statement - 2 is true; Statement - 2 is not the correct explanation of Statement - 1

C

Statement - 1 is false, Statement - 2 is true

D

Statement - 1 is true, Statement - 2 is false

Q 8PhysicsSection A • MCQelectrostatics

+4 / -1

A charge

Q

is placed at each of the opposite corners of a square. A charge

q

is placed at each of the other two corners. If the net electrical force on

Q

is zero, then

Q/q

equals:

A

-1

B

1

C

- {1 \over {\sqrt 2 }}

D

- 2\sqrt 2

Q 9PhysicsSection A • MCQray optics

+4 / -1

A transparent solid cylindrical rod has a refractive index of

{2 \over {\sqrt 3 }}.

It is surrounded by air. A light ray is incident at the mid-point of one end of the rod as shown in the figure. $qImage-refraction-tir-and-prism-geometrical-optics-optics-Jeemate$

The incident angle $\theta$ for which the light ray grazes along the wall of the rod is :

A

{\sin ^{ - 1}}\left( {{\raise0.5ex\hbox{

B

{\sin ^{ - 1}}\left( {{\raise0.5ex\hbox{

C

{\sin ^{ - 1}}\left( {{1 \over {\sqrt 3 }}} \right)

D

{\sin ^{ - 1}}\left( {{\raise0.5ex\hbox{

Q 10PhysicsSection A • MCQrotational motion

+4 / -1

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 center of mass rises to a maximum height of:

A

{1 \over 6}\,\,{{l\omega } \over g}

B

{1 \over 2}\,\,{{{l^2}{\omega ^2}} \over g}

C

{1 \over 6}\,\,{{{l^2}{\omega ^2}} \over g}

D

{1 \over 3}\,\,{{{l^2}{\omega ^2}} \over g}

Q 11PhysicsSection A • MCQheat and thermodynamics

+4 / -1

One

kg

of a diatomic gas is at a pressure of

8 \times {10^4}\,N/{m^2}.

The density of the gas is

4kg/{m^3}

. What is the energy of the gas due to its thermal motion ?

A

5 \times {10^4}\,J

B

6 \times {10^4}\,J

C

7 \times {10^4}\,J

D

3 \times {10^4}\,J

Q 12PhysicsSection A • MCQgravitation

+4 / -1

The height at which the acceleration due to gravity becomes

{g \over 9}

(where

g=

the acceleration due to gravity on the surface of the earth) in terms of

R,

the radius of the earth, is:

A

{R \over {\sqrt 2 }}

B

R/2

C

\sqrt 2 \,\,R

D

2\,R

Q 13PhysicsSection A • MCQunits and measurements

+4 / -1

In an 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:

A

one minute

B

half minute

C

one degree

D

half degree

Q 14PhysicsSection A • MCQmotion

+4 / -1

A particle has an initial velocity

3\widehat i + 4\widehat j

and an acceleration of

0.4\widehat i + 0.3\widehat j

. Its speed after 10 s is:

A

7\sqrt 2

units

B

7 units

C

8.5 units

D

10 units

Q 15PhysicsSection A • MCQmagnetics

+4 / -1

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 loop 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^ \circ }.

Another straight thin wire steady current

{I_1}

flowing out of the plane of the paper is kept at the origin. qImage-biot-savarts-law-and-magnetic-field-due-to-current-carrying-wire-magnetics-electricity-Jeemate

qImage-biot-savarts-law-and-magnetic-field-due-to-current-carrying-wire-magnetics-electricity-Jeemate

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

A

{{{\mu _0}I\left( {b - a} \right)} \over {24ab}}

B

{{{\mu _0}I} \over {4\pi }}\left[ {{{b - a} \over {ab}}} \right]

C

{{{\mu _0}I} \over {4\pi }}\left[ {2\left( {b - a} \right) + {\raise0.5ex\hbox{

D

zero

Q 16PhysicsSection A • MCQmagnetics

+4 / -1

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 loop 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^ \circ }.

Another straight thin wire steady current

{I_1}

flowing out of the plane of the paper is kept at the origin. qImage-force-and-torque-on-current-carrying-conductor-magnetics-electricity-Jeemate

Due to the presence of the current ${I_1}$ at the origin:

A

The forces on

AD

are

BC

are zero.

B

The magnitude of the net force on the loop is given by

{{{I_1}I} \over {4\pi }}{\mu _0}\left[ {2\left( {b - a} \right) + {\raise0.5ex\hbox{

C

The magnitude of the net force on the loop is given by

{{{\mu _0}I{I_1}} \over {24ab}}\left( {b - a} \right).

D

The forces on

AB

and

DC

are zero.

Q 17PhysicsSection A • MCQelectronic devices

+4 / -1

A

p

-

n

junction

(D)

shown in the figure can act as a rectifier. An alternating current source

(V)

is connected in the circuit. qImage-semiconductor-and-p-n-junction-diode-electronic-devices-modern-physics-Jeemate

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

A

B

C

D

Q 18PhysicsSection A • MCQdual nature of radiation

+4 / -1

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 :

\left( {hc = 1240eV.nm} \right)

A

1.41

eV

B

1.51

eV

C

1.68

eV

D

3.09

eV

Q 19PhysicsSection A • MCQheat and thermodynamics

+4 / -1

Two moles of helium gas are taken over the cycle

ABCD,

as shown in the

P

-

T

diagram.

qImage-thermodynamics-process-heat-and-thermodynamics-mechanics-Jeemate

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

A

+414

R

B

-690

R

C

+690

R

D

-414

R

Q 20PhysicsSection A • MCQelectrostatics

+4 / -1

Let

P\left( r \right) = {Q \over {\pi {R^4}}}r

be the change 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 center of the sphere, the magnitude of electric field is :

A

{Q \over {4\pi \,{ \in _0}\,r_1^2}}

B

{{Qr_1^2} \over {4\pi \,{ \in _0}\,{R^4}}}

C

{{Qr_1^2} \over {3\pi \,{ \in _0}\,{R^4}}}

D

0

Q 21PhysicsSection A • MCQmotion

+4 / -1

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 a function of time will be :

A

qImage-graph-based-problem-motion-mechanics-Jeemate

B

C

D

Q 22PhysicsSection A • MCQelectronic devices

+4 / -1

The logic circuit shown below has the input waveforms

'A'

and

'B'

as shown. Pick out the correct output waveform. qImage-digital-circuits-electronic-devices-modern-physics-Jeemate

Output is

A

B

C

D

Official Correct Answer:Option (D)

Step-by-Step Solution:

Here

y = \overline {\left( {\overline A + \overline B } \right)} = \overline {\overline A } .\overline {\overline B } = A.B.

Thus it is an

AND

gate for which truth table is

A	B	Y
0	0	0
0	1	0
1	0	0
1	1	1

Q 23PhysicsSection A • MCQwaves

+4 / -1

Three sound waves of equal amplitudes have frequencies

\left( {v - 1} \right),\,v,\,\left( {v + 1} \right).

They superpose to give beats. The number of beats produced per second will be :

A

3

B

2

C

1

D

4

Q 24PhysicsSection A • MCQheat and thermodynamics

+4 / -1

Two moles of helium gas are taken over the cycle

ABCD,

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 :

A

300

R

B

400

R

C

500

R

D

200

R

Q 25PhysicsSection A • MCQheat and thermodynamics

+4 / -1

Two moles of helium gas are taken over the cycle

ABCD

, as shown in the

P

-

T

diagram.

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

A

276

R

B

1076

R

C

1904

R

D

zero

Q 26PhysicsSection A • MCQproperties of matter

+4 / -1

Two wires are made of the same material and have the same volume. However wire

1

has cross-sectional area

A

and wire

2

has cross-sectional area

3A.

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?

A

4F

B

6F

C

9F

D

F

Q 27PhysicsSection A • MCQsimple harmonic motion

+4 / -1

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?

A

aT/x

B

aT + 2\pi v

C

aT/v

D

{a^2}{T^2} + 4{\pi ^2}{v^2}

Q 28PhysicsSection A • MCQelectrostatics

+4 / -1

(This question contains Statement-1 and Statement-2. Of the four choices given after the statements, choose the one that best describes the two statements.)

Statement-1 : 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.

A

Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation of Statement-1.

B

Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation of Statement-1.

C

Statement- 1 is false, Statement- 2 is true.

D

Statement- 1 true, Statement- 2 is false

Q 29PhysicsSection A • MCQatoms and nuclei

+4 / -1

The transition from the state

n=4

to

n=3

in a hydrogen like atom result in ultra violet radiation. Infrared radiation will be obtained in the transition from :

A

3 \to 2

B

4 \to 2

C

5 \to 4

D

2 \to 1

Q 30PhysicsSection A • MCQheat and thermodynamics

+4 / -1

A long metallic bar is carrying heat from one of its ends to the other end under steady-state. 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?

A

qImage-heat-transfer-heat-and-thermodynamics-mechanics-Jeemate

B

C

D

Q 31ChemistrySection A • MCQsolid state

+4 / -1

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

A

108 pm

B

127 pm

C

157 pm

D

181 pm

Q 32ChemistrySection A • MCQchemical bonding and molecular structure

+4 / -1

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

A

O_2^+

B

O_2^-

C

O_2^{2-}

D

O_2^{2+}

Official Correct Answer:Option (D)

Step-by-Step Solution:

Note :

(1)

\,\,\,\,

Bond length

\propto

{1 \over {Bond\,\,order}}

(2)

\,

Bond order

= {1 \over 2}

[N_b

-

N_a]

N_b = No of electrons in bonding molecular orbital

N_a

=

No of electrons in anti bonding molecular orbital

(4)

\,\,\,\,

upto 14 electrons, molecular orbital configuration is

qImage-molecular-orbital-theory-chemical-bonding-and-molecular-structure-inorganic-chemistry-Jeemate

qImage-molecular-orbital-theory-chemical-bonding-and-molecular-structure-inorganic-chemistry-Jeemate

Here N_a = Anti bonding electron

=

4 and N_b = 10

(5)

\,\,\,\,

After 14 electrons to 20 electrons molecular orbital configuration is - - -

qImage-molecular-orbital-theory-chemical-bonding-and-molecular-structure-inorganic-chemistry-Jeemate

Here N_a = 10

and N_b = 10

In O atom 8 electrons present, so in O₂, 8

\times

2 = 16 electrons present.

Then in

O_2^ +

no of electrons = 15

in

O_2^ -

no of electrons = 17

in

O_2^{2 - }

no of electrons = 18

\therefore\,\,\,\,

Molecular orbital configuration of O₂ (16 electrons) is

{\sigma _{1{s^2}}}\,\,\sigma _{1{s^2}}^ * \,

{\sigma _{2{s^2}}}\,\,\sigma _{2{s^2}}^ * \,

{\sigma _{2p_z^2}}\,\,{\pi _{2p_x^2}} = {\pi _{2p_y^2}}\,\,\pi _{2p_x^1}^ * \,\, = \pi _{2p_y^1}^ *

\therefore\,\,\,\,

N_a = 6

N_b = 10

\therefore\,\,\,\,

BO =

{1 \over 2}\left[ {10 - 6} \right] = 2

Molecular orbital configuration of O

_2^ +

(15 electrons) is

{\sigma _{1{s^2}}}\,\sigma _{1{s^2}}^ * \,{\sigma _{2{s^2}}}\,\sigma _{2{s^2}}^ * \,{\sigma _{2p_z^2}}\,{\pi _{2p_x^2}}\, = \,{\pi _{2p_y^2}}\,\pi _{2p_x^1}^ * \, = \,\pi _{2p_y^o}^ *

\therefore\,\,\,\,

N_b = 10

N_a = 5

\therefore\,\,\,\,

BO =

{1 \over 2}\left[ {10 - 5} \right]

= 2.5

Molecular orbital configuration of O

_2^ {2+ }

(14 electrons) is

{\sigma _{1{s^2}}}\,\sigma _{1{s^2}}^ * \,{\sigma _{2{s^2}}}\,\sigma _{2{s^2}}^ * \,{\sigma _{2p_z^2}}\,{\pi _{2p_x^2}}\, = \,{\pi _{2p_y^2}}\,\pi _{2p_x^0}^ * \, = \,\pi _{2p_y^o}^ *

\therefore\,\,\,\,

N_b = 10

N_a = 4

\therefore\,\,\,\,

BO =

{1 \over 2}\left[ {10 - 4} \right]

= 3

Molecular orbital configuration of

O_2^ -

(17 electrons) is

{\sigma _{1{s^2}}}\,\sigma _{1{s^2}}^ * \,{\sigma _{2{s^2}}}\,\sigma _{2{s^2}}^ * \,{\sigma _{2p_z^2}}\,{\pi _{2p_x^2}}\, = \,{\pi _{2p_y^2}}\,\pi _{2p_x^2}^ * \, = \,\pi _{2p_y^1}^ *

\therefore\,\,\,\,

N_b = 10

N_a = 7

\therefore\,\,\,\,

BO =

{1 \over 2}\left[ {10 - 7} \right]

= 1.5

Molecular orbital configuration of O

_2^{2 - }

(18 electrons) is

{\sigma _{1{s^2}}}\,\sigma _{1{s^2}}^ * \,{\sigma _{2{s^2}}}\,\sigma _{2{s^2}}^ * \,{\sigma _{2p_z^2}}\,{\pi _{2p_x^2}}\, = \,{\pi _{2p_y^2}}\,\pi _{2p_x^2}^ * \, = \,\pi _{2p_y^2}^ *

\therefore\,\,\,\,

N_b = 10

N_a = 8

\therefore\,\,\,\,

BO =

{1 \over 2}

[ 10

-

8] = 1

As Bond length

\propto

{1 \over {Bond\,\,order}}

So

O_2^{2+}

has the shortest bond length.

Q 33ChemistrySection A • MCQelectrochemistry

+4 / -1

In a fuel cell methanol is used as fuel and oxygen gas is used as an oxidizer. The reaction is
CH₃OH(l) + 3/2O₂

\to

CO₂ (g) + 2H₂O (l)
At 298K standard Gibb’s energies of formation for CH₃OH(l), H₂O(l) and CO₂ (g) are -166.2, -237.2 and -394.4 kJ mol⁻¹ respectively. If standard enthalpy of combustion of methanol is -726 kJ mol⁻¹, efficiency of the fuel cell will be

A

87%

B

90%

C

97%

D

80%

Q 34ChemistrySection A • MCQbasics of organic chemistry

+4 / -1

Arrange the carbanions,

{(C{H_3})_3}\overline C

,

\overline C C{l_3}

,

{(C{H_3})_2}\overline C H

,

{C_6}{H_5}\overline C H{}_2

in order of their decreasing stability :

A

{(C{H_3})_2}\overline C H

>

\overline C C{l_3}

>

{C_6}{H_5}\overline C H{}_2

>

{(C{H_3})_3}\overline C

B

\overline C C{l_3}

>

{C_6}{H_5}\overline C H{}_2

>

{(C{H_3})_2}\overline C H

>

{(C{H_3})_3}\overline C

C

{(C{H_3})_3}\overline C

>

{(C{H_3})_2}\overline C H

>

{C_6}{H_5}\overline C H{}_2

>

\overline C C{l_3}

D

{C_6}{H_5}\overline C H{}_2

>

\overline C C{l_3}

>

{(C{H_3})_3}\overline C

>

{(C{H_3})_2}\overline C H

Q 35ChemistrySection A • MCQatomic structure

+4 / -1

Calculate the wavelength (in nanometer) associated with a proton moving at 1.0 x 10³ ms⁻¹ (Mass of proton = 1.67

\times

10^-27 kg and h = 6.63

\times

10^-34 Js) :

A

0.40 nm

B

2.5 nm

C

14.0 nm

D

0.32 nm

Q 36ChemistrySection A • MCQionic equilibrium

+4 / -1

Solid Ba(NO₃)₂ is gradually dissolved in a 1.0

\times

10^-4 M Na₂CO₃ solution. At what concentration of Ba²⁺ will a precipitate begin to form ?
(K_sp for BaCO₃ = 5.1

\times

10⁻⁹ )

A

5.1

\times

10^-5 M

B

8.1

\times

10^-8 M

C

8.1

\times

10^-7 M

D

4.1

\times

10^-5 M

Q 37ChemistrySection A • MCQaldehydes ketones and carboxylic acids

+4 / -1

In Cannizzaro reaction given below
2PhCHO

\buildrel {\mathop {:OH}\limits^{\left( - \right)} } \over \longrightarrow

PhCH₂OH +

PhC\mathop O\limits^{..}

₂^(-)
the slowest step is :

A

the transfer of hydride to the carbonyl group

B

the abstraction of proton from the carboxylic group

C

the attack of

:\mathop {OH}\limits^{( - )}

at the carboxyl group

D

the deprotonation of Ph CH₂OH

Q 38ChemistrySection A • MCQd and f block elements

+4 / -1

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

A

In addition to the normal oxidation states, the zero oxidation state is also shown by these elements in complexes.

B

In the highest oxidation states, the transition metal show basic character and form cationic complexes.

C

In the highest oxidation states of the first five transition elements (Sc to Mn), all the 4s and 3d electrons are used for bonding

D

Once the d⁵ configuration is exceeded, the tendency to involve all the 3d electrons in bonding decreases.

Q 39ChemistrySection A • MCQchemical kinetics and nuclear chemistry

+4 / -1

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) :

A

230.3 minutes

B

23.03 minutes

C

46.06 minutes

D

460.6 minutes

Q 40ChemistrySection A • MCQsurface chemistry

+4 / -1

Which of the following statements is incorrect regarding physisorptions ?

A

It occurs because of vander Waal’s forces.

B

More easily liquefiable gases are adsorbed readily.

C

Under high pressure it results into multi molecular layer on adsorbent surface.

D

Enthalpy of adsorption (

\Delta H_{adsorption}

) is low and positive

Q 41ChemistrySection A • MCQd and f block elements

+4 / -1

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

A

Because of the large size of the Ln (III) ions the bonding in its compounds is predominantly ionic in character.

B

The ionic sizes of Ln (III) decrease in general with increasing atomic number.

C

Ln (III) compounds are generally colourless

D

Ln (III) hydroxides are mainly basic in character.

Q 42ChemistrySection A • MCQalcohols phenols and ethers

+4 / -1

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

A

benzoic acid

B

salicylaldehyde

C

salicylic acid

D

phthalic acid

Q 43ChemistrySection A • MCQaldehydes ketones and carboxylic acids

+4 / -1

A liquid was mixed with ethanol and a drop of concentrated H₂SO₄ was added. A compound with a fruity smell was formed. The liquid was :

A

CH₃OH

B

HCHO

C

CH₃CO CH₃

D

CH₃COOH

Q 44ChemistrySection A • MCQatomic structure

+4 / -1

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

\times

10^-34 kg m²s^-1, mass of electron, e_m = 9.1

\times

10^-31 kg)

A

5.10

\times

10^-3 m

B

1.92

\times

10^-3 m

C

3.84

\times

10^-3 m

D

1.52

\times

10^-4 m

Q 45ChemistrySection A • MCQthermodynamics

+4 / -1

On the basis of the following thermochemical data :
(

\Delta _fG^oH^+_{(aq)}

= 0)

H₂O(l)

\to

H⁺(aq) + OH^-(aq);

\Delta H

= 57.32 kJ
H₂(g) +

{1 \over 2} O_2(g) \to

H₂O(l);

\Delta H

= -286.20 kJ

The value of enthalpy of formation of OH⁻ ion at 25^oC is :

A

-22.88 kJ

B

-228.88 kJ

C

+228.88 kJ

D

-343.52 kJ

Q 46ChemistrySection A • MCQpolymers

+4 / -1

Buna-

N

synthetic rubber is a copolymer of :

A

{H_2}C = CH - CH = C{H_2}

and

\,\,\,\,\,

{H_5}{C_6} - CH = C{H_2}

B

{H_2}C = CH - CN

and

\,\,\,\,\,

{H_2}C = CH - CH = C{H_2}

C

qImage-classification-preparations-and-properties-of-polymers-polymers-organic-chemistry-Jeemate

D

Q 47ChemistrySection A • MCQcoordination compounds

+4 / -1

Which of the following pairs represents linkage isomers ?

A

[Pd (P Ph₃)₂ (NCS)₂] and [Pd (P Ph₃)₂ (SCN)₂]

B

[Co(NH₃)₅ NO₃]SO₄ and [Co(NH₃)₅ SO₄]NO₃

C

[Pt Cl₂(NH₃)₄] Br₂ and [Pt Br₂(NH₃)₄] Cl₂

D

[Cu (NH₃)₄] [Pt Cl₄] and [Pt (NH₃)₄] [CuCl₄]

Q 48ChemistrySection A • MCQbiomolecules

+4 / -1

The two functional groups present in a typical carbohydrate are

A

-OH and -COOH

B

-CHO and -COOH

C

> C = O and - OH

D

- OH and -CHO

Q 49ChemistrySection A • MCQp block elements

+4 / -1

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

A

XeO₃ + 6HF

\to

XeF₆ + 3H₂O

B

XeF₆ + RbF

\to

Rb(XeF₇]

C

2XeF₂ + 2H₂O

\to

2Xe + 4HF + O₂

D

3XeF₄ + 6H₂O

\to

2Xe + XeO₃ + 12HF + 1.5O₂

Q 50ChemistrySection A • MCQperiodic classification of elements

+4 / -1

The set representing the correct order of ionic radius is :

A

N{a^ + } > L{i^ + } > M{g^{2 + }} > B{e^{2 + }}

B

L{i^ + } > N{a^ + } > M{g^{2 + }} > B{e^{2 + }}

C

M{g^{2 + }} > B{e^{2 + }} > L{i^ + } > N{a^ + }

D

L{i^ + } > B{e^{2 + }} > N{a^ + } > M{g^{2 + }}

Official Correct Answer:Option (A)

Step-by-Step Solution:

In periodic table

Li, Na, Mg, Be

are present in following ways :-

Group 1	Group 2
Li	Be
Na	Mg

Note :

(1)\,\,\,

In periodic table from left to right the size of element decreases.

(2)\,\,\,

In periodic table, from top to bottom size of element increases.

So,

B{e^{ + 2}}

will be the smallest in size.

Among

L{i^ + }

and

N{a^ + },

size of

N{a^ + } > L{i^ + }

and among

B{e^{ + 2}}

and

M{g^{ + 2}},

size of

M{g^{ + 2}} > B{e^{ + 2}}

.

Note : Size of

L{i^ + } > M{g^{ + 2}},

this is a exception case.

So, the correct order will be,

N{a^ + } > L{i^ + } > M{g^{ + 2}} > B{e^{ + 2}}

Q 51ChemistrySection A • MCQsolutions

+4 / -1

Two liquids X and Y form an ideal solution. At 300K, 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 :

A

200 and 300

B

300 and 400

C

400 and 600

D

500 and 600

Q 52ChemistrySection A • MCQbasics of organic chemistry

+4 / -1

The IUPAC name of neopentane is

A

2-methylbutane

B

2, 2-dimethylpropane

C

2-methylpropane

D

2,2-dimethylbutane

Q 53ChemistrySection A • MCQperiodic classification of elements

+4 / -1

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

A

CO₂ < SiO₂ < SnO₂ < PbO₂ : increasing oxidising power

B

HF < HCl < HBr, HI : increasing acid strength

C

NH₃ < PH₃ < AsH₃ < SbH₃ : increasing basic strength

D

B < C < O < N : increasing first ionization enthalpy

Official Correct Answer:Option (C)

Step-by-Step Solution:

(A)\,\,\,

Option A is true.

Here in

Pb{O_2}

oxidation number of

Pb

is

+4,

due to inert pair effect the oxidation number

+4

is not stable for

Pb

, So, to become stable oxide

+2

Pb

will oxidize other and reduced to

P{b^{ + 2.}}

So,

Pb{O_2}

has the highest oxidizing power.

(B)\,\,\,\,

Option B is true.

Bond length from top to bottom in periodic table increases, So the bond length order is

HI > HBr > HCl > HF

The compound which can give

{H^ + }

ion easily that compound has higher acidic strength.

As the bond length between

H

and

I

in

HI

is longest then it will be carier to break the bond between

H

and

I

. So

HI

will have highest acidic strength.

(C)\,\,\,\,

Option C is false.

The structure of those

4

molecules are

qImage-nature-of-oxide-periodic-table-and-periodicity-inorganic-chemistry-Jeemate

Due to the lone pair electron all of them are basic nature. The molecule which can easily donate the lone pair electron will have more basic strength.

Here, Nitrogen (N) is a element of

2

nd period so in

N

new electron is added in the second period and as size of

N

is small so electron density is more on the outer shell, so electron become unstable due to repulsion with each other. That is why electron pair is easily removable from

N{H_3}.

On the other hand

p

is a

3

rd block, As is a

4

th block and

Sb

is a

5

th block elements. So, their size is bigger. So, electron density on the outer shell is less and their repulsion also decreases. So, outer shell electrons are more stable and

P{H_3},As{H_3}

and

Sb{H_3}

will have less ability to donate the electron.

So the correct order is

Sb{H_3} < As{H_3} < P{H_3} < N{H_3}

(D) Option (D) is true

Electronic configuration of

B\left( 5 \right)\,\,\, = \,\,\,1{s^2}2{s^2}2{p^1}

C\left( 6 \right)\,\,\, = \,\,\,1{s^2}2{s^2}2{p^2}

N\left( 7 \right)\,\,\, = \,\,\,1{s^2}2{s^2}2{p^3}

O\left( 8 \right)\,\,\, = \,\,\,1{s^2}2{s^2}2{p^4}

In general in periodic table from left to right effective nuclear change increase and it becomes more difficult to remove electron from an atom. That is why ionization enthalpy increases.

But for those atoms which has half filled or full filled outer most shell, those atoms will be more stable and more energy is needed to remove electron from those atoms. Here

N\left( {1{s^2}\,2{s^2}\,2{p^3}} \right)

has stable half filled

2p

subshell so it is more stable than

O.

So, correct order is

B < C < O < N

Q 54ChemistrySection A • MCQelectrochemistry

+4 / -1

Given :

E_{F{e^{3 + }}/Fe}^o

= -0.036V;

E_{F{e^{2 + }}/Fe}^o

= -0.439 V
The value of standard electrode potential for the change,
Fe³⁺ (aq) + e^-

\to

Fe²⁺ (aq) will be

A

-0.072 V

B

0.385 V

C

0.770 V

D

0.270

Q 55ChemistrySection A • MCQsolutions

+4 / -1

A binary liquid solution is prepared by mixing n-heptane and ethanol. Which one of the following statements is correct regarding the behaviour of the solution ?

A

The solution formed is an ideal solution

B

The solution is non-ideal, showing +ve deviation from Raoult’s law.

C

The solution is non-ideal, showing –ve deviation from Raoult’s law.

D

n-heptane shows +ve deviation while ethanol shows –ve deviation from Raoult’s law.

Q 56ChemistrySection A • MCQbasics of organic chemistry

+4 / -1

The number of stereoisomers possible for a compound of the molecular formula CH₃ - CH = CH - CH(OH) - Me is :

A

2

B

4

C

6

D

3

Q 57ChemistrySection A • MCQhaloalkanes and haloarenes

+4 / -1

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

A

CH₃COCl

B

CH₃CH₂Cl

C

CH₂ClCH₂Cl

D

CH₃CHCl₂

Q 58ChemistrySection A • MCQbasics of organic chemistry

+4 / -1

The alkene that exhibits geometrical isomerism is :

A

propene

B

2-methyl propene

C

2-butene

D

2- methyl -2- butene

Q 59ChemistrySection A • MCQcoordination compounds

+4 / -1

Which of the following has an optical isomer ?

A

[Co(en)(NH₃)₂]²⁺

B

[Co(H₂O)₄(en)]³⁺

C

[Co(en)₂(NH₃)₂]³⁺

D

[Co(NH₃)₃Cl]⁺

Q 60MathematicsSection A • MCQstatistics

+4 / -1

Statement - 1 : The variance of first n even natural numbers is

{{{n^2} - 1} \over 4}

Statement - 2 : The sum of first n natural numbers is

{{n\left( {n + 1} \right)} \over 2}

and the sum of squares of first n natural numbers is

{{n\left( {n + 1} \right)\left( {2n + 1} \right)} \over 6}

A

Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1

B

Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1

C

Statement-1 is true, Statement-2 is false

D

Statement-1 is false, Statement-2 is true

Q 61MathematicsSection A • MCQstatistics

+4 / -1

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

A

20.0

B

10.1

C

20.2

D

10.0

Q 62MathematicsSection A • MCQsets and relations

+4 / -1

If

A, B

and

C

are three sets such that

A \cap B=A \cap C

and

A \cup B=A \cup C

, then :

A

A=C

B

B=C

C

A \cap B=\phi

D

A=B

Q 63MathematicsSection A • MCQapplication of derivatives

+4 / -1

Given

P\left( x \right) = {x^4} + a{x^3} + b{x^2} + cx + d

such that

x=0

is the only
real root of

P'\,\left( x \right) = 0.

If

P\left( { - 1} \right) < P\left( 1 \right),

then in the interval

\left[ { - 1,1} \right]:

A

P(-1)

is not minimum but

P(1)

is the maximum of

P

B

P(-1)

is the minimum but

P(1)

is not the maximum of

P

C

Neither

P(-1)

is the minimum nor

P(1)

is the maximum of

P

D

P(-1)

is the minimum and

P(1)

is the maximum of

P

Q 64MathematicsSection A • MCQdefinite integration

+4 / -1

\int\limits_0^\pi {\left[ {\cot x} \right]dx,}

where

\left[ . \right]

denotes the greatest integer function, is equal to:

A

1

B

-1

C

- {\pi \over 2}

D

{\pi \over 2}

Q 65MathematicsSection A • MCQtrigonometric ratios and identities

+4 / -1

Let A and B denote the statements

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

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

If $\cos \left( {\beta - \gamma } \right) + \cos \left( {\gamma - \alpha } \right) + \cos \left( {\alpha - \beta } \right) = - {3 \over 2},$ then:

A

A is false and B is true

B

both A and B are true

C

both A and B are false

D

A is true and B is false

Q 66MathematicsSection A • MCQmathematical reasoning

+4 / -1

Statement-1 :

\sim \left( {p \leftrightarrow \sim q} \right)

is equivalent to

{p \leftrightarrow q}

.
Statement-2 :

\sim \left( {p \leftrightarrow \sim q} \right)

is a tautology.

A

Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1

B

Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1

C

Statement-1 is true, Statement-2 is false

D

Statement-1 is false, Statement-2 is true

Q 67MathematicsSection A • MCQfunctions

+4 / -1

For real x, let f(x) = x³ + 5x + 1, then

A

f is one-one but not onto R

B

f is onto R but not one-one

C

f is one-one and onto R

D

f is neither one-one nor onto R

Q 68MathematicsSection A • MCQvector algebra

+4 / -1

If

\overrightarrow u ,\overrightarrow v ,\overrightarrow w

are non-coplanar vectors and

p,q

are real numbers, then the equality

\left[ {3\overrightarrow u \,\,p\overrightarrow v \,\,p\overrightarrow w } \right] - \left[ {p\overrightarrow v \,\,\overrightarrow w \,\,q\overrightarrow u } \right] - \left[ {2\overrightarrow w \,\,q\overrightarrow v \,\,q\overrightarrow u } \right] = 0

holds for :

A

exactly two values of

(p,q)

B

more than two but not all values of

(p,q)

C

all values of

(p,q)

D

exactly one value of

(p,q)

Q 69MathematicsSection A • MCQmatrices and determinants

+4 / -1

Let

a, b, c

be such that

b\left( {a + c} \right) \ne 0

if

$\left| {\matrix{ a & {a + 1} & {a - 1} \cr { - b} & {b + 1} & {b - 1} \cr c & {c - 1} & {c + 1} \cr } } \right| + \left| {\matrix{ {a + 1} & {b + 1} & {c - 1} \cr {a - 1} & {b - 1} & {c + 1} \cr {{{\left( { - 1} \right)}^{n + 2}}a} & {{{\left( { - 1} \right)}^{n + 1}}b} & {{{\left( { - 1} \right)}^n}c} \cr } } \right| = 0$

then the value of $n$ :

A

any even integer

B

any odd integer

C

any integer

D

zero

Q 70MathematicsSection A • MCQcircle

+4 / -1

Three distinct points A, B and C are given in the 2 -dimensional coordinates 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 \over 3}

. Then the circumcentre of the triangle ABC is at the point :

A

\left( {{5 \over 4},0} \right)

B

\left( {{5 \over 2},0} \right)

C

\left( {{5 \over 3},0} \right)

D

\left( {0,0} \right)

Q 71MathematicsSection A • MCQdifferentiation

+4 / -1

Let

y

be an implicit function of

x

defined by

{x^{2x}} - 2{x^x}\cot \,y - 1 = 0

. Then

y'(1)

equals

A

1

B

\log \,2

C

-\log \,2

D

-1

Q 72MathematicsSection A • MCQprobability

+4 / -1

One ticket is selected at random 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 zer, equals :

A

{1 \over 7}

B

{5 \over 14}

C

{1 \over 50}

D

{1 \over 14}

Q 73MathematicsSection A • MCQmatrices and determinants

+4 / -1

Let

A

be a

\,2 \times 2

matrix
Statement - 1 :

adj\left( {adj\,A} \right) = A

Statement - 2 :

\left| {adj\,A} \right| = \left| A \right|

A

statement - 1 is true, statement - 2 is true; statement - 2 is not a correct explanation for statement - 1.

B

statement - 1 is true, statement - 2 is false.

C

statement - 1 is false, statement -2 is true

D

statement -1 is true, statement - 2 is true; statement - 2 is a correct explanation for statement - 1.

Q 74MathematicsSection A • MCQbinomial theorem

+4 / -1

The remainder left out when

{8^{2n}} - {\left( {62} \right)^{2n + 1}}

is divided by 9 is :

A

2

B

7

C

8

D

0

Q 75MathematicsSection A • MCQcomplex numbers

+4 / -1

If

\,\left| {z - {4 \over z}} \right| = 2,

then the maximum value of

\,\left| z \right|

is equal to :

A

\sqrt 5 + 1

B

2

C

2 + \sqrt 2

D

\sqrt 3 + 1

Q 76MathematicsSection A • MCQlimits continuity and differentiability

+4 / -1

Let

f\left( x \right) = x\left| x \right|

and

g\left( x \right) = \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

.

A

Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.

B

Statement-1 is true, Statement-2 is false

C

Statement-1 is false, Statement-2 is true

D

Statement-1 is true, Statement-2 is true Statement-2 is a correct explanation for Statement-1

Q 77MathematicsSection A • MCQ3d geometry

+4 / -1

The projections of a vector on the three coordinate axis are

6,-3,2

respectively. The direction cosines of the vector are :

A

{6 \over 5},{{ - 3} \over 5},{2 \over 5}

B

{6 \over 7 },{{ - 3} \over 7},{2 \over 7}

C

{- 6 \over 7 },{{ - 3} \over 7},{2 \over 7}

D

6, -3, 2

Q 78MathematicsSection A • MCQarea under the curves

+4 / -1

The area of the region bounded by the parabola

{\left( {y - 2} \right)^2} = x - 1,

the tangent of the parabola at the point

(2, 3)

and the

x

-axis is :

A

6

B

9

C

12

D

3

Q 79MathematicsSection A • MCQellipse

+4 / -1

The ellipse

{x^2} + 4{y^2} = 4

is inscribed in a rectangle aligned with the coordinate axex, which in turn is inscribed in another ellipse that passes through the point

(4,0)

. Then the equation of the ellipse is :

A

{x^2} + 12{y^2} = 16

B

4{x^2} + 48{y^2} = 48

C

4{x^2} + 64{y^2} = 48

D

{x^2} + 16{y^2} = 16

Q 80MathematicsSection A • MCQfunctions

+4 / -1

Let

f\left( x \right) = {\left( {x + 1} \right)^2} - 1,x \ge - 1

Statement - 1 : The set

\left\{ {x:f\left( x \right) = {f^{ - 1}}\left( x \right)} \right\} = \left\{ {0, - 1} \right\}

.

Statement - 2 :

f

is a bijection.

A

Statement - 1 is true, Statement - 2 is true; Statement - 2 is a correct explanation for Statement - 1

B

Statement - 1 is true, Statement - 2 is true; Statement - 2 is not a correct explanation for Statement - 1

C

Statement - 1 is true, Statement - 2 is false

D

Statement - 1 is false, Statement - 2 is true

Q 81MathematicsSection A • MCQquadratic equation and inequalities

+4 / -1

If the roots of the equation

b{x^2} + cx + a = 0

imaginary, then for all real values of

x

, the expression

3{b^2}{x^2} + 6bcx + 2{c^2}

is :

A

less than

4ab

B

greater than

-4ab

C

less than

-4ab

D

greater than

4ab

Q 82MathematicsSection A • MCQprobability

+4 / -1

In a binomial distribution

B\left( {n,p = {1 \over 4}} \right),

if the probability of at least one success is greater than or equal to

{9 \over {10}},

then

n

is greater than :

A

{1 \over {\log _{10}^4 + \log _{10}^3}}

B

{9 \over {\log _{10}^4 - \log _{10}^3}}

C

{4 \over {\log _{10}^4 - \log _{10}^3}}

D

{1 \over {\log _{10}^4 - \log _{10}^3}}

Q 83MathematicsSection A • MCQcircle

+4 / -1

If

P

and

Q

are the points of intersection of the circles

{x^2} + {y^2} + 3x + 7y + 2p - 5 = 0

and

{x^2} + {y^2} + 2x + 2y - {p^2} = 0

then there is a circle passing through

P,Q

and

(1, 1)

for :

A

all except one value of

p

B

all except two values of

p

C

exactly one value of

p

D

all values of

p

Q 84MathematicsSection A • MCQsequences and series

+4 / -1

The sum to infinite term of the series

1 + {2 \over 3} + {6 \over {{3^2}}} + {{10} \over {{3^3}}} + {{14} \over {{3^4}}} + .....

is

A

3

B

4

C

6

D

2

Q 85MathematicsSection A • MCQstraight lines and pair of straight lines

+4 / -1

The shortest distance between the line

y - x = 1

and the curve

x = {y^2}

is :

A

{{2\sqrt 3 } \over 8}

B

{{3\sqrt 2 } \over 5}

C

{{\sqrt 3 } \over 4}

D

{{3\sqrt 2 } \over 8}

Q 86MathematicsSection A • MCQpermutations and combinations

+4 / -1

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 arrangement is :

A

at least 500 but less than 750

B

at least 750 but less than 1000

C

at least 1000

D

less than 500

Q 87MathematicsSection A • MCQdifferential equations

+4 / -1

The differential equation which represents the family of curves

y = {c_1}{e^{{c_2}x}},

where

{c_1}

, and

{c_2}

are arbitrary constants, is

A

y'' = y'y

B

yy'' = y'

C

yy'' = {\left( {y'} \right)^2}

D

y' = {y^2}

Q 88MathematicsSection A • MCQ3d geometry

+4 / -1

Let the line

\,\,\,\,\,

{{x - 2} \over 3} = {{y - 1} \over { - 5}} = {{z + 2} \over 2}

lie in the plane

\,\,\,\,\,

x + 3y - \alpha z + \beta = 0.

Then

\left( {\alpha ,\beta } \right)

equals

A

(-6,7)

B

(5,-15)

C

(-5,5)

D

(6, -17)

Q 89MathematicsSection A • MCQstraight lines and pair of straight lines

+4 / -1

The lines

p\left( {{p^2} + 1} \right)x - y + q = 0

and

\left( {{p^2} + 1} \right){}^2x + \left( {{p^2} + 1} \right)y + 2q

=0

are perpendicular to a common line for :

A

exactly one values of

p

B

exactly two values of

p

C

more than two values of

p

D

no value of

p

AIEEE 2009 Question Paper with Solutions