Solved papers for JEE Main & Advanced AIEEE Solved Paper-2007

AIEEE Solved Paper-2007 Total Questions - 120

1) The displacement of an object attached to a spring and executing simple harmonic motion is given by\[2x+3y+z=1\]\[x+3y+2z=2\] metre. The time at which the maximum speed first occurs is AIEEE Solved Paper-2007

A)

0.5 s

B)

0.75 s

C)

       0.125s

D)

       0.25s

View Answer
2) In an AC circuit, the voltage applied is\[cos\text{ }\alpha \] \[1/\sqrt{3}\]The resulting current in the circuit is\[1/\sqrt{2}\]. The power consumption in the circuit is given by AIEEE Solved Paper-2007

A)

\[P=\frac{{{E}_{0}}{{l}_{0}}}{\sqrt{2}}\]

B)

       P = zero

C)

       \[P=\frac{{{E}_{0}}{{l}_{0}}}{2}\]

D)

     \[P=\sqrt{2}\,{{E}_{0}}{{l}_{0}}\]

View Answer
3) An electric charge\[{{y}^{2}}={{x}^{2}}-2xy\frac{dy}{dx}\]is placed at the origin (0, 0) of X-Y coordinate system. Two points A and B are situated at\[{{p}^{2}}+{{q}^{2}}=1,\]and (2, 0) respectively. The potential difference between the points A and B will be AIEEE Solved Paper-2007

A)

9V

B)

zero

C)

       2V

D)

       4.5V

View Answer
4) A battery is used to charge a parallel plate capacitor till the potential difference between the plates becomes equal to the electromotive force of the battery. The ratio of the energy stored in the capacitor and the work done by the battery, will be AIEEE Solved Paper-2007

A)

1

B)

                                       2

C)

       \[(p+q)\]

D)

       \[\frac{1}{2}\]

View Answer
5) An ideal coil of 10 H is connected in series with a resistance of \[\frac{1}{\sqrt{2}}\] and a battery of 5 V. After 2 s, the connection is made, the current flowing (in ampere) in the circuit is AIEEE Solved Paper-2007

A)

\[\sqrt{2}\]

B)

       e

C)

       \[{{e}^{-1}}\]

D)

\[30{}^\circ \]

View Answer
6) A long straight wire of radius a carries a steady current i. The current is uniformly distributed across its cross-section. The ratio of the magnetic field at\[2a/\sqrt{3}\]and\[2a\sqrt{3}\]is AIEEE Solved Paper-2007

A)

\[a/\sqrt{3}\]

B)

4

C)

       1

D)

       \[a\sqrt{3}\]

View Answer
7) A current\[^{20}{{C}_{0}}{{-}^{20}}{{C}_{1}}{{+}^{20}}{{C}_{2}}{{-}^{20}}{{C}_{3}}+....{{+}^{20}}{{C}_{10}}\]flows along the length of an infinitely long, straight, thin walled pipe. Then, AIEEE Solved Paper-2007

A)

The magnetic field is zero only on the axis of the pipe

B)

The magnetic field is different at different points inside the pipe

C)

The magnetic field at any point inside the pipe is zero

D)

The magnetic field at all points inside the pipe is the same, but not zero

View Answer
8) If\[{{-}^{20}}{{C}_{10}}\]is the mass of an oxygen isotope\[\frac{1}{2}{{\,}^{20}}{{C}_{10}}\]and\[^{20}{{C}_{10}}\]are the masses of a proton and a neutron respectively, the nuclear binding energy of the isotope is AIEEE Solved Paper-2007

A)

\[P(x,\text{ }y)\]

B)

       \[|~z+4|\le 3,\]

C)

\[|~z+1|\]

D)

\[D=\left| \begin{matrix}    1 & 1 & 1 \\    1 & 1+x & 1 \\    1 & 1 & 1+y \\ \end{matrix} \right|\]

View Answer
9) In gamma ray emission from a nucleus AIEEE Solved Paper-2007

A)

Both the neutron number and the proton number change

B)

There is no change in the proton number and the neutron number

C)

Only the neutron number changes

D)

Only the proton number changes

View Answer
10) If in a\[x\ne 0\]junction diode, a square input signal of 10 V is applied as shown Then, the output signal across \[{{R}_{L}}\] will be AIEEE Solved Paper-2007

A)

B)



C)



D)



View Answer
11) Photon of frequency v has a momentum associated with it. If c is the velocity of light, the momentum is AIEEE Solved Paper-2007

A)

v/c

B)

       \[y\ne 0\]

C)

       \[x\]

D)

       \[x\]

View Answer
12) The velocity of a particle is\[x\]If its position is\[x\]at\[\frac{{{x}^{2}}}{{{\cos }^{2}}\alpha }-\frac{{{y}^{2}}}{{{\sin }^{2}}\alpha }=1,\]then its displacement after unit time\[\frac{\pi }{4}\]is AIEEE Solved Paper-2007

A)

\[{{v}_{0}}+2g+3f\]

B)

       \[{{v}_{0}}+g/2+f/3\]

C)

       \[{{v}_{0}}+g+f\]

D)

\[{{v}_{0}}+g/2+f\]

View Answer
13) For the given uniform square lamina ABCD, whose centre is O AIEEE Solved Paper-2007

A)

\[\sqrt{2}\,{{l}_{AC}}={{l}_{EF}}\]

B)

\[{{l}_{AD}}=4{{l}_{EF}}\]

C)

\[{{l}_{AC}}={{l}_{EF}}\]

D)

\[{{l}_{AC}}=\sqrt{2}\,{{l}_{EF}}\]

View Answer
14) A point mass oscillates along the x-axis according to the law\[{{\log }_{3}}e\].If the acceleration of the particle is written as \[{{\log }_{e}}3\]then AIEEE Solved Paper-2007

A)

\[f(x)={{\tan }^{-1}}(\sin x+\cos x)\]

B)

\[(\pi /4,\pi /2)\]

C)

\[(-\pi /2,\pi /4)\]

D)

\[(0,\pi /2)\]

View Answer
15) Charges are placed on the vertices of a square as shown. Let \[\vec{E}\] be the electric field and V be the potential at the centre. If the charges on A and B are interchanged with those on D and C respectively, then AIEEE Solved Paper-2007

A)

E remains unchanged, V changes

B)

both E and V change

C)

E and V remain unchanged

D)

E changes, V remains unchanged

View Answer
16) The half-life period of a radioactive element X is same as the mean life time of another radioactive element Y. Initially, they have the same number of atoms. Then, AIEEE Solved Paper-2007

A)

X will decay faster than Y

B)

Y will decay faster than X

C)

Y and X have same decay rate initially

D)

X and Y decay at same rate always

View Answer
17) A Carnot engine, having an efficiency of \[\eta =1/10\] as heat engine, is used as a refrigerator. If the work done on the system is 10 J, the amount of energy absorbed from the reservoir at lower temperature is AIEEE Solved Paper-2007

A)

99 J

B)

       90 J

C)

       1 J

D)

       100 J

View Answer
18) Carbon, silicon and germanium have four valence electrons each. At room temperature, which one of the following statements is most appropriate?

A)

The number of free conduction electrons is significant in C but small in Si and\[A=\left[ \begin{matrix} 5 & 5\alpha & \alpha \\ 0 & \alpha & 5\alpha \\ 0 & 0 & 5 \\ \end{matrix} \right]\]

B)

The number of free conduction electrons is negligibly small in all the three

C)

The number of free electrons for conduction is significant in all the three

D)

The number of free electrons for conduction is significant only in\[|{{A}^{2}}|=25,\]and\[{{5}^{2}}\]but small in C

View Answer
19) A charged particle with charge g enters a region of constant, uniform and mutually orthogonal fields \[\vec{E}\] and \[\vec{B}\] with a velocity v perpendicular to both \[\vec{E}\] and \[\vec{B}\] and comes out without any change in magnitude or direction of v. Then, AIEEE Solved Paper-2007

A)

\[\vec{v}=\vec{E}\times \vec{B}/{{B}^{2}}\]

B)

\[\vec{v}=\vec{B}\times \vec{E}/{{B}^{2}}\]

C)

\[\vec{v}=\vec{E}\times \vec{B}/{{E}^{2}}\]

D)

\[\vec{v}=\vec{B}\times \vec{E}/{{E}^{2}}\]

View Answer
20) The potential at a point x (measured in\[{{e}^{-\frac{1}{2}}}\]due to some charges situated on the x-axis is given by\[{{e}^{+\frac{1}{2}}}\]volt. The electric field E at \[x=4\,\mu m\] is given by AIEEE Solved Paper-2007

A)

\[{{\tan }^{-1}}\frac{b}{ac}\]and in the -ve\[45{}^\circ \]direction

B)

\[{{\tan }^{-1}}\frac{bc}{a(c-a)}\]and in the +ve\[{{\tan }^{-1}}\frac{bc}{a}\]direction

C)

\[{{y}^{2}}=8x\]and in the -ve\[y=x+2\]direction

D)

\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-6x-12y-2\text{ }z+20=0,\]and in the +ve\[a=\hat{i}+\hat{j}+\hat{k},b=\hat{i}-\hat{j}+2\hat{k}\]direction

View Answer
21) Which of the following transitions in hydrogen atoms emit photons of highest frequency? AIEEE Solved Paper-2007

A)

n = 2 to n = 6

B)

       n = 6 to n = 2

C)

                       n = 2 to n = 1

D)

       n = 1 to n = 2

View Answer
22) A block of mass m is connected to another block of mass M by a spring (massless) of spring constant k. The blocks are kept on a smooth horizontal plane. Initially the blocks are at rest and' the spring is unstretehed. Then, a constant force F starts acting on the block of mass M to pull it; Find the force on the block of mass m. AIEEE Solved Paper-2007

A)

\[c=x\hat{i}+(x-2)\hat{j}-\hat{k}\]

B)

\[x\]

C)

\[R=(3,3\sqrt{3})\]

D)

       \[\angle PQR\]

View Answer
23) Two lenses of power -15D and +5D are in contact with each other. The focal length of the combination is: AIEEE Solved Paper-2007

A)

\[\sqrt{3}x+y=0\]

B)

       \[x+\frac{\sqrt{3}}{2}y=0\]

C)

       \[\frac{\sqrt{3}}{2}x+y=0\]

D)

       \[x+\sqrt{3}y=0\]

View Answer
24) One end of a thermally insulated rod is kept at a temperature\[m{{y}^{2}}+(1-{{m}^{2}})xy-m{{x}^{2}}=0\]and the other at\[xy=0,\]. The rod is composed of two sections of lengths\[-\frac{1}{2}\]and\[-2\] and thermal conductivities \[{{K}_{1}}\] and \[{{K}_{2}}\] respectively. The temperature at the interface of the two sections is AIEEE Solved Paper-2007

A)

\[f(x)=\int_{1}^{x}{\frac{\log \,t}{1+t}}dt\]

B)

\[\frac{1}{2}\]

C)

\[f:R\to R\]

D)

\[f(x)=\]

View Answer
25) A sound absorber attenuates the sound level by 20 dB. The intensity decreases by a factor of AIEEE Solved Paper-2007

A)

1000

B)

10000

C)

                       10

D)

       100

View Answer
26) If\[min\{x+1,|~x|+1\}\]and\[f\{x\}\ge 1\]denote the specific heats of nitrogen per unit mass at constant pressure and constant volume respectively, then AIEEE Solved Paper-2007

A)

\[x\in R\]

B)

       \[f(x)\]

C)

       \[x=1\]

D)

       \[f(x)\]

View Answer
27) A charged particle moves through a magnetic field perpendicular to its direction. Then, AIEEE Solved Paper-2007

A)

the momentum changes but the kinetic energy is constant

B)

both momentum and kinetic energy of the particle are not constant

C)

both momentum and kinetic energy of the particle are constant

D)

kinetic energy changes but the momentum is constant

View Answer
28) Two identical conducting wires AOB and COD are placed at right angles to each other. The wire AOB carries an electric current\[f(x)\]and COD carries a current\[x=0\]. The magnetic field on a point lying at a distance d from O, in a direction perpendicular to the plane of the wires AOB and COD, will be given by AIEEE Solved Paper-2007

A)

\[\frac{{{\mu }_{0}}}{2\pi }\,{{\left( \frac{({{l}_{1}}+{{l}_{2}})}{d} \right)}^{1/2}}\]

B)

       \[\frac{{{\mu }_{0}}}{2\pi d}\,{{(l_{1}^{2}+l_{2}^{2})}^{1/2}}\]

C)

                       \[\frac{{{\mu }_{0}}}{2\pi d}\,(l_{1}^{{}}+l_{2}^{{}})\]

D)

                       \[\frac{{{\mu }_{0}}}{2\pi d}\,(l_{1}^{2}+l_{2}^{2})\]

View Answer
29) The resistance of a wire is\[\int_{\sqrt{2}}^{x}{\frac{dt}{t\sqrt{{{t}^{2}}-1}}}=\pi /2\] at\[\pi \]and \[\sqrt{3}/2\],at\[2\sqrt{2}\] The resistance of the wire at \[\int{\frac{dx}{\cos x+\sqrt{3}\sin x}}\] will be AIEEE Solved Paper-2007

A)

\[\frac{1}{2}\log \tan \left( \frac{x}{2}+\frac{\pi }{12} \right)+C\]

B)

       \[\frac{1}{2}\log \tan \left( \frac{x}{2}-\frac{\pi }{12} \right)+C\]

C)

\[\log \tan \left( \frac{x}{2}+\frac{\pi }{12} \right)+C\]

D)

       \[\log \tan \left( \frac{x}{2}-\frac{\pi }{12} \right)+C\]

View Answer
30) A parallel plate ' condenser with a dielectric of dielectric constant K between the plates has a capacity C and is charged to a potential V volts. The dielectric slab is slowly removed from between the plates and then reinserted. The net work done by the system in this process is AIEEE Solved Paper-2007

A)

\[{{y}^{2}}=x\]

B)

       \[y=|\text{ }x|\]

C)

       \[\frac{2}{3}\]

D)

       zero

View Answer
31) If\[\frac{1}{6}\]arid\[\frac{1}{3}\]are the accelerations due to gravity on the surfaces of the earth and the moon respectively and if Millikan's oil drop experiment could be performed on the two surfaces, one will find the ratio \[{{x}^{2}}+ax+1=0\]to be AIEEE Solved Paper-2007

A)

1

B)

                       zero

C)

       \[\sqrt{5},\]

D)

       \[(-3,\infty )\]

View Answer
32) A circular disc of radius R is removed from a bigger circular disc of radius 2R, such that the circumference of the discs coincide. The centre of mass of the new disc is\[(3,\infty )\]from the centre of the bigger disc. The value of \[\alpha \] is AIEEE Solved Paper-2007

A)

\[(-\infty ,-3)\]

B)

                       \[x=(2\times {{10}^{-2}})\cos \pi t\]

C)

\[a=2\times {{10}^{-2}}m=2cm\]

D)

       \[t=0,\]

View Answer
33) A round uniform body of radius R, mass M and moment of inertia\[x=2\text{ }cm\]rolls down (without slipping) an inclined plane making an angle \[\theta \] with the horizontal. Then, its acceleration is AIEEE Solved Paper-2007

A)

\[\frac{g\sin \theta }{1+l/M{{R}^{2}}}\]

B)

       \[\frac{g\sin \theta }{1+M{{R}^{2}}/l}\]

C)

       \[\frac{g\sin \theta }{1-l/M{{R}^{2}}}\]

D)

       \[\frac{g\sin \theta }{1-M{{R}^{2}}/l}\]

View Answer
34) Angular momentum of the particle rotating with a central force is constant due to AIEEE Solved Paper-2007

A)

constant force

B)

       constant linear momentum

C)

       zero torque

D)

       constant torque

View Answer
35) A 2 kg block slides on a horizontal floor with a speed of 4 m/s. It strikes a uncompressed spring and compresses it till the block is motionless. The kinetic friction force is 15 N and spring constant is 10000 N/m. The spring compresses by AIEEE Solved Paper-2007

A)

9.34cm

B)

       2.5cm

C)

       11.0cm

D)

       8.5cm

View Answer
36) A particle is projected at\[T=2s\]to the horizontal with a kinetic energy K. The kinetic energy at the highest point is AIEEE Solved Paper-2007

A)

K

B)

       zero

C)

       K/4

D)

       K/2

View Answer
37) In a Young's double-slit experiment, the intensity at a point where the path difference is\[=\frac{T}{4}=\frac{2}{4}=0.5s\] (\[\pi /2\]being the wavelength of the light used), is\[{{v}_{a}}=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{({{10}^{-3}})}{OA}\]. If\[=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{({{10}^{-3}})}{\sqrt{{{(\sqrt{2})}^{2}}+{{(\sqrt{2})}^{2}}}}\]denotes the maximum intensity, \[{{V}_{B}}=\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{({{10}^{-3}})}{OB}\]is equal to AIEEE Solved Paper-2007

A)

\[=\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{({{10}^{-3}})}{2}\]

B)

       \[{{V}_{A}}-{{V}_{B}}=0\]

C)

       \[=\frac{\frac{1}{2}qV}{qV}=\frac{1}{2}\]

D)

       \[I={{I}_{0}}(1-{{e}^{-t/\tau }})\]

View Answer
38) Two springs, of force constants\[{{I}_{0}}=\frac{E}{R}=\frac{5}{5}=1\,A\]and\[\tau =\frac{L}{R}=\frac{10}{5}=2\,s\]are connected to a mass m as shown. The frequency of oscillation of the mass is \[f\]. If both\[(\therefore -t/\tau =\frac{-2}{2}=-1)\]and\[J=\frac{i}{\pi {{a}^{2}}}\]are made four times their original values, the frequency of. oscillation becomes AIEEE Solved Paper-2007

A)

\[\oint{B.dl}={{\mu }_{0}}.{{i}_{enclosed}}\]

B)

                                       \[\oint{B.dl}={{\mu }_{0}}.{{i}_{enclosed}}\]

C)

       \[x=2\times {{10}^{-2}}\]

D)

       \[cos\text{ }\pi t\]

View Answer
39) When a system is taken from state\[E={{E}_{0}}\]to state f along the path \[iaf,\] it is found that\[sin\text{ }\omega t\] and\[I={{I}_{0}}\sin \left( \omega t-\frac{\pi }{2} \right)\]. Along the path ibf, \[p=\frac{{{E}_{0}}{{I}_{0}}}{\sqrt{2}}\]cal. W along the path \[ibf\] is AIEEE Solved Paper-2007

A)

6 cal

B)

       16 cal

C)

       66 cal

D)

       14 cal

View Answer
40) A particle of mass m executes simple harmonic motion with amplitude a and frequency v. The average kinetic energy during its motion from the position of equilibrium to the end is AIEEE Solved Paper-2007

A)

\[p=\frac{{{E}_{0}}{{I}_{0}}}{2}\]

B)

                       \[P=\sqrt{2}{{E}_{0}}{{I}_{0}}\]

C)

       \[{{10}^{-3}}\mu C\]

D)

       \[(\sqrt{2},\sqrt{2})\]

View Answer
41) The energies of activation for forward and reverse reactions for \[\frac{1}{4}\] are \[\frac{1}{2}\]and\[5\,\Omega \]respectively. The presence of a catalyst lowers the activation energy of both (forward and reverse) reactions by\[(1-e)\] The enthalpy change of the reaction \[({{A}_{2}}-{{B}_{2}}\,\to 2\,\,AB)\] in the presence of catalyst will be (in\[(1-{{e}^{-1}})\]) AIEEE Solved Paper-2007

A)

300

B)

       120

C)

       280

D)

       -20

View Answer
42) The\[\frac{a}{2}\]\[2a\]was allowed to be completely discharged at 298 K. The relative concentration of\[\frac{1}{4}\]to\[\frac{1}{2}\]\[I\]is AIEEE Solved Paper-2007

A)

Antilog (24.08)

B)

       37.3

C)

       \[{{M}_{O}}\]

D)

       \[_{8}{{O}^{17}},{{M}_{p}}\]

View Answer
43) The\[{{M}_{n}}\]of a weak acid (H A) is 4.5. The\[({{M}_{O}}-8{{M}_{p}}){{c}^{2}}\] of an aqueous buffered solution of HA in which 50% of the acid ionized is AIEEE Solved Paper-2007

A)

4.5

B)

       2.5

C)

       9.5

D)

       7.0

View Answer
44) Consider the reaction, \[2A+B\to \] products When concentration of B alone was doubled, the half-life did not change. When the concentration of A alone was doubled, the rate increased by two times. The unit of rate constant for this reaction is AIEEE Solved Paper-2007

A)

\[{{M}_{O}}{{c}^{2}}\]

B)

       no unit

C)

       \[({{M}_{O}}-17{{M}_{n}}){{c}^{2}}\]

D)

       \[p-n\]

View Answer
45) Identify the incorrect statement among the following. AIEEE Solved Paper-2007

A)

d-block elements show irregular and erratic chemical properties among themselves

B)

       La and Lu have partially filled d orbitals and no other partially filled orbitals

C)

       The chemistry of various lanthanoids is very similar

D)

       4f and 5f orbitals are equally shielded

View Answer
46) Which one of the following has a square planar geometry? (At. no.\[hvc\]) AIEEE Solved Paper-2007

A)

\[hv/{{c}^{2}}\]

B)

       \[hv/c\]

C)

       \[v={{V}_{0}}+gt+f{{t}^{2}}.\]

D)

       \[x=0\]

View Answer
47) Which of the following molecules is expected to rotate the plane of plane-polarised light? AIEEE Solved Paper-2007

A)

B)

C)

D)

View Answer
48) The secondary structure of a protein refers to AIEEE Solved Paper-2007

A)

\[t=0,\]helical backbone

B)

       hydrophobic interactions

C)

       sequence of a-amino acids

D)

       fixed configuration of the polypeptide backbone

View Answer
49) Which of the following reactions will yield, 2, 2-dibromopropane? AIEEE Solved Paper-2007

A)

\[(t=1)\]

B)

       \[{{V}_{0}}+2g+3f\]

C)

       \[{{V}_{0}}+g/2+f/3\]

D)

       \[{{V}_{0}}+g+f\]

View Answer
50) In the chemical reaction, \[{{V}_{0}}+g/2+f\] \[\sqrt{2}{{I}_{AC}}={{I}_{EF}}\]the compounds (A) and (B) are respectively AIEEE Solved Paper-2007

A)

\[{{I}_{AD}}=4{{I}_{EF}}\]and \[{{I}_{AC}}={{I}_{EF}}\]

B)

       \[{{I}_{AC}}=\sqrt{2}{{I}_{EF}}\]and\[x={{x}_{0}}\cos (\omega t-\pi /4)\]

C)

       \[a=A\text{ }cos(\omega t+\delta ),\]and \[A={{x}_{0}},\text{ }\delta =-\pi /4\]

D)

       \[A={{x}_{0}}{{\omega }^{2}},\text{ }\delta =\pi /4\]and\[A={{x}_{0}}{{\omega }^{2}},\text{ }\delta =-\pi /4\]

View Answer
51) The reaction of toluene with\[A={{x}_{0}}{{\omega }^{2}},\text{ }\delta =3\pi /4\]in the presence of \[FeC{{l}_{3}}\] gives predominantly AIEEE Solved Paper-2007

A)

benzoyl chloride

B)

       benzyl chloride

C)

       o - and p-chlorotoluene

D)

       m-chlorotoluene

View Answer
52) Presence of a nitro group in a benzene ring AIEEE Solved Paper-2007

A)

activates the ring towards electrophilic substitution

B)

       renders the ring basic

C)

       deactivates the ring towards nucleophilic substitution

D)

       deactivates the ring towards electrophilic substitution

View Answer
53) In which of the following ionization processes, the bond order has, increased and the magnetic behaviour has changed? AIEEE Solved Paper-2007

A)

\[Ge\]

B)

       \[Si\]

C)

                       \[Ge\]

D)

       \[v=E\times B/{{B}^{2}}\]

View Answer
54) The actinoids exhibit more number of oxidation states in general than the lanthanides. This is because AIEEE Solved Paper-2007

A)

the\[v=B\times E/{{B}^{2}}\]orbitals are more buried than the \[v=E\times B/{{E}^{2}}\]orbitals

B)

there is a similarity between\[v=B\times E/{{E}^{2}}\]and\[\mu m\] orbitals in their angular part of the wave function

C)

the actinoids are more reactive than the lanthanoids

D)

the\[V(x)=20/({{x}^{2}}-4)\]orbitals extend further from the nucleus than the\[x=4\]orbitals

View Answer
55) Equal masses of methane and oxygen are mixed in an empty container at\[\frac{5}{3}V/\mu m\]. The fraction of the total pressure exerted by oxygen is AIEEE Solved Paper-2007

A)

\[x\]

B)

       \[\frac{5}{3}V/\mu m\]

C)

       \[x\]

D)

       \[\frac{10}{9}V/\mu m\]

View Answer
56) A 5.25% solution of a substance is isotonic with a 1.5% solution of urea (molar mass \[=60\,g\,mo{{l}^{-1}}\]) in the same solvent. If the densities of both the solutions are assumed to be equal to\[x\] the molar mass of the substance will be AIEEE Solved Paper-2007

A)

\[\frac{10}{9}V/\mu m\]

B)

\[x\]

C)

       \[\frac{mF}{M}\]

D)

       \[\frac{(M+m)F}{m}\]

View Answer
57) Assuming that water vapour is an ideal gas, the internal energy change(\[\frac{mF}{(m+M)}\])when 1 mole of water is vapourised at 1 bar pressure and\[\frac{MF}{(m+M)}\](Given : molar enthalpy of vaporisation of water at 1 bar and 373\[-20cm\]and\[-10cm\])will be AIEEE Solved Paper-2007

A)

\[+20\text{ }cm\]

B)

\[+10\text{ }cm\]

C)

       \[{{T}_{1}}\]

D)

       \[{{T}_{2}}\]

View Answer
58) In a saturated solution of the sparingly soluble strong electrolyte\[{{l}_{1}}\] (Molecular mass =283), the equilibrium which sets in, is \[{{l}_{2}}\] If the solubility product constant, \[{{k}_{1}}\]of\[{{k}_{2}},\]at a given temperature is\[({{K}_{2}}{{l}_{2}}{{T}_{1}}+{{K}_{1}}{{l}_{1}}{{T}_{2}})/({{K}_{1}}{{l}_{1}}+{{K}_{2}}{{l}_{2}})\] what is the mass of \[({{K}_{2}}{{l}_{1}}{{T}_{1}}+{{K}_{1}}{{l}_{2}}{{T}_{2}})/({{K}_{2}}{{l}_{1}}+{{K}_{1}}{{l}_{2}})\]contained in 100 mL of its saturated solution? AIEEE Solved Paper-2007

A)

\[({{K}_{1}}{{l}_{2}}{{T}_{1}}+{{K}_{2}}{{l}_{1}}{{T}_{2}})/({{K}_{1}}{{l}_{2}}+{{K}_{2}}{{l}_{1}})\]

B)

       \[({{K}_{1}}{{l}_{1}}{{T}_{1}}+{{K}_{2}}{{l}_{2}}{{T}_{2}})/({{K}_{1}}{{l}_{1}}+{{K}_{2}}{{l}_{2}})\]

C)

\[{{C}_{p}}\]

D)

       \[{{C}_{y}}\]

View Answer
59) A radioactive element gets spilled over the floor of a room. Its half-life period is 30 days. If the initial activity is ten times the permissible value, after how many days will it be safe to enter the room? AIEEE Solved Paper-2007

A)

1000 days

B)

       300 days

C)

10 days

D)

       100 days

View Answer
60) Which one of the following conformations of cyclohexane is chiral? AIEEE Solved Paper-2007

A)

Twist boat

B)

Rigid

C)

Chair

D)

       Boat

View Answer
61) Which of the following is the correct order of decreasing\[{{C}_{p}}-{{C}_{y}}=R/28\]reactivity? (\[{{C}_{p}}-{{C}_{v}}=R/14\]halogen) AIEEE Solved Paper-2007

A)

\[{{C}_{p}}-{{C}_{y}}=R\]

B)

\[{{C}_{p}}-{{C}_{y}}=28R\]

C)

\[{{I}_{1}}\]

D)

\[{{I}_{2}}\]

View Answer
62) In the following sequence of reactions \[\frac{{{\mu }_{0}}}{2\pi }{{\left( \frac{{{I}_{1}}+{{I}_{2}}}{d} \right)}^{1/2}}\]                                                 \[\frac{{{\mu }_{0}}}{2\pi d}{{(I_{1}^{2}+I_{2}^{2})}^{1/2}}\] the compound 'D' is AIEEE Solved Paper-2007

A)

butanal

B)

       n-butyl alcohol

C)

n-propyl alcohol

D)

propanal

View Answer
63) Which of the following sets of quantum numbers represents the highest energy of an atom? AIEEE Solved Paper-2007

A)

\[\frac{{{\mu }_{0}}}{2\pi d}({{I}_{1}}+{{I}_{2}})\]

B)

\[\frac{{{\mu }_{0}}}{2\pi d}(I_{1}^{2}+I_{2}^{2})\]

C)

\[5\,\,\Omega \]

D)

\[50{}^\circ C\]

View Answer
64) Which of the following hydrogen bonds is the strongest? AIEEE Solved Paper-2007

A)

\[6\,\Omega \]

B)

\[100{}^\circ C.\]

C)

\[0{}^\circ C\]

D)

\[2\,\Omega \]

View Answer
65) In the reaction, \[1\,\Omega \] \[4\,\Omega \] AIEEE Solved Paper-2007

A)

\[3\,\Omega \] is consumed for every\[\frac{1}{2}(K-1)C{{V}^{2}}\] produced

B)

\[C{{V}^{2}}(K-1)/K\]is' produced regardless of temperature and pressure for every mole of\[(K-1)C{{V}^{2}}\]that reacts

C)

\[{{g}_{E}}\] at STP is produced for every mole of\[{{g}_{M}}\]that reacts

D)

\[\frac{electronic\text{ }charge\text{ }on\text{ }the\text{ }moon}{electronic\text{ }charge\text{ }on\text{ }the\text{ }earth}\]at STP is produced for every mole of\[{{g}_{E}}/{{g}_{M}}\]consumed

View Answer
66) Regular use of which of the following fertilizers increases the acidity of soil? AIEEE Solved Paper-2007

A)

Potassium nitrate

B)

Urea

C)

Superphosphate of lime

D)

Ammonium sulphate

View Answer
67) Identify the correct statement regarding a spontaneous process AIEEE Solved Paper-2007

A)

For a spontaneous process in an isolated system, the change in entropy is positive

B)

Endothermic processes are never spontaneous

C)

Exothermic processes are always spontaneous

D)

Lowering of energy in the reaction process is the only criterion for spontaneity

View Answer
68) Which of the following nuclear reactions will generate an isotope? AIEEE Solved Paper-2007

A)

Neutron particle emission

B)

Positron emission

C)

\[{{g}_{M}}/{{g}_{E}}\] particle emission

D)

\[\frac{\alpha }{R}\] particle emission

View Answer
69) The equivalent conductances of two strong electrolytes at infinite dilution in\[\frac{1}{3}\] (where ions move freely through a solution) at\[\frac{1}{2}\]are given below \[\frac{1}{6}\] \[\frac{1}{4}\] What additional information/quantity one needs to calculate\[I,\]of an aqueous solution of acetic acid? AIEEE Solved Paper-2007

A)

\[\frac{g\sin \theta }{1+I/M{{R}^{2}}}\] of\[\frac{g\sin \theta }{1+M{{R}^{2}}/I}\]

B)

\[\frac{g\sin \theta }{1-I/M{{R}^{2}}}\] of\[\frac{g\sin \theta }{1-M{{R}^{2}}/I}\]

C)

The limiting equivalent conductance of \[60{}^\circ \]

D)

\[\frac{\lambda }{6}\]of chloroacetic acid\[\lambda \]

View Answer
70) Which one of the following is the strongest base in aqueous solution? AIEEE Solved Paper-2007

A)

Trimethylamine

B)

Aniline

C)

       Dimethylamine

D)

     Methylamine

View Answer
71) The compound formed as a result of oxidation of ethyl benzene by\[I\]is AIEEE Solved Paper-2007

A)

benzophenone

B)

acetophenone

C)

       benzoicacid

D)

       benzyl alcohol

View Answer
72) The IUPAC name of is AIEEE Solved Paper-2007

A)

1, 1-diethyl-2, 2-dimethylpentane

B)

4, 4-dimethyl-5, 5-diethylpentane

C)

5, 5-diethyl-4, 4-dimethylpentane

D)

3-ethyl-4, 4-dimethylheptane

View Answer
73) Which of the following species exhibits the diamagnetic behaviour? AIEEE Solved Paper-2007

A)

\[{{I}_{0}}\]

B)

       \[I/{{I}_{0}}\]

C)

\[\frac{1}{\sqrt{2}}\]

D)

       \[\frac{\sqrt{3}}{2}\]

View Answer
74) The stability of dihalides of\[\frac{1}{2}\] and\[\frac{3}{4}\]increases steadily in the sequence AIEEE Solved Paper-2007

A)

\[{{k}_{1}}\]

B)

\[{{k}_{2}},\]

C)

\[I\]

D)

\[{{I}_{0}}\]

View Answer
75) Identify the incorrect statement among the following. AIEEE Solved Paper-2007

A)

Ozone reacts with\[{{k}_{1}}\]to give\[{{k}_{2}}\]

B)

Silicon reacts with\[f/2\]in the presence of air to give\[f/4\]and\[4f\]

C)

\[2f\]reacts with excess of\[i\]to give\[\text{Q}=50\text{ }cal\]and\[W=20\text{ }cal\]

D)

\[Q=36\]reacts with hot and strong\[{{\pi }^{2}}m{{a}^{2}}{{v}^{2}}\]solution to give\[\frac{1}{4}m{{a}^{2}}{{v}^{2}}\]and\[4{{\pi }^{2}}m{{a}^{2}}{{v}^{2}}\]

View Answer
76) The charge/size ratio of a cation determines its polarizing power. Which one of the following sequences represents the increasing order of the polarizing power of the cationic species: \[2{{\pi }^{2}}m{{a}^{2}}{{v}^{2}}\] AIEEE Solved Paper-2007

A)

\[{{A}_{2}}+{{B}_{2}}2AB\]

B)

\[180\text{ }kJ\,mo{{l}^{-1}}\]

C)

\[200\,kJ\,mo{{l}^{-1}}\]

D)

\[100\text{ }kJ\text{ }mo{{l}^{-1}}.\]

View Answer
77) The density (in\[({{A}_{2}}+{{B}_{2}}\xrightarrow[{}]{{}}2AB)\]) of a 3.60 M sulphuric acid solution that is 29%\[kJ\text{ }mo{{l}^{-1}}\] (molar mass\[Zn|Z{{n}^{2+}}(1M)||C{{u}^{2+}}(1M)|Cu\]) by mass will be AIEEE Solved Paper-2007

A)

1.64

B)

       1.88

C)

       1.22

D)

       1.45

View Answer
78) The first and second dissociation constants of an acid \[(E_{cell}^{o}=1.10V),\] are\[Z{{n}^{2+}}\]and \[C{{u}^{2+}}\] respectively. The overall dissociation constant of the acid will be AIEEE Solved Paper-2007

A)

\[\left( \frac{[Z{{n}^{2+}}]}{[C{{u}^{2+}}]} \right)\]

B)

       \[{{10}^{37.3}}\]

C)

       \[9.65\times {{10}^{4}}\]

D)

       \[p{{K}_{a}}\]

View Answer
79) A mixture of ethyl alcohol and propyl alcohol has a vapour pressure of 290 mm at 300 K. The vapour pressure of propyl alcohol is 200 mm. If the mole fraction of ethyl alcohol is 0.6, its vapour pressure (in mm) at the same temperature will be AIEEE Solved Paper-2007

A)

350

B)

300

C)

       700

D)

       360

View Answer
80) In conversion of limestone to lime, \[pOH\] the values of\[2A+B\xrightarrow[{}]{{}}products\]and\[L\,mo{{l}^{-1}}{{s}^{-1}}\]are\[mol\,{{L}^{-1}}{{s}^{-1}}\]\[{{s}^{-1}}\]and\[Co=27,Ni=28,Fe=26,Pt=78\]respectively at 298 K and 1 bar. Assuming that\[{{[COC{{l}_{4}}]}^{2-}}\]and\[{{[FeC{{l}_{4}}]}^{2-}}\]do not change with temperature, temperature above which conversion of limestone to lime will be spontaneous is AIEEE Solved Paper-2007

A)

1008 K

B)

       1200 K

C)

       845 K

D)

       1118 K

View Answer
81) In a geometric progression consisting of positive terms, each term equals the sum of the next two terms. Then, the common ratio of this progression equals AIEEE Solved Paper-2007

A)

\[{{[NiC{{l}_{4}}]}^{2-}}\]

B)

       \[{{[PtC{{l}_{4}}]}^{2-}}\]

C)

       \[\alpha -\]

D)

       \[C{{H}_{3}}-C\equiv CH+2HBr\xrightarrow[{}]{{}}\]

View Answer
82) If\[C{{H}_{3}}CH\equiv CHBr+HBr\xrightarrow[{}]{{}}\]then a value of\[CH\equiv CH+2HBr\xrightarrow[{}]{{}}\]is AIEEE Solved Paper-2007

A)

1

B)

       3

C)

       4

D)

       5

View Answer
83) In the binomial expansion of\[C{{H}_{3}}CH=C{{H}_{2}}+HBr\xrightarrow[{}]{{}}\]the sum of 5th and 6th terms is zero, then\[C{{H}_{3}}C{{H}_{2}}N{{H}_{2}}+CHC{{l}_{3}}+3KOH\xrightarrow[{}]{{}}\]equals AIEEE Solved Paper-2007

A)

\[(A)+(B)+3{{H}_{2}}O,\]

B)

       \[{{C}_{2}}{{H}_{5}}CN\]

C)

       \[3KCl\]

D)

       \[C{{H}_{3}}C{{H}_{2}}CON{{H}_{2}}\]

View Answer
84) The set S = {1, 2, 3,..., 12} is to be partitioned into three sets A, B, C of equal size. Thus, \[3KCl\] \[{{C}_{2}}{{H}_{5}}NC\]The number of ways to partition S is AIEEE Solved Paper-2007

A)

\[{{K}_{2}}C{{O}_{3}}\]

B)

       \[{{C}_{2}}{{H}_{5}}NC\]

C)

       \[3KCl\]

D)

       \[C{{l}_{2}}\]

View Answer
85) The largest interval lying in\[FeCl,\] which the function \[{{C}_{2}}\xrightarrow[{}]{{}}C_{2}^{+}\] is defined, is AIEEE Solved Paper-2007

A)

\[NO\xrightarrow[{}]{{}}N{{O}^{+}}\]

B)

                       \[{{O}_{2}}\xrightarrow[{}]{{}}O_{2}^{+}\]

C)

       \[\left[ -\frac{\pi }{4},\,\frac{\pi }{2} \right)\]

D)

       \[5f\]

View Answer
86) A body weighing 13 kg is suspended by two strings 5 m and 12 m long, their other ends being fastened to the extremities of a rod 13 m long. If the rod be so held that the body hangs immediately below the middle point. The tensions in the strings are AIEEE Solved Paper-2007

A)

12 kg and 13 kg

B)

       5 kg and 5 kg

C)

       5 kg and 12 kg

D)

       5 kg and 13 kg

View Answer
87) A pair of fair dice is thrown independently three times. The probability of getting a score of exactly 9 twice is AIEEE Solved Paper-2007

A)

1/729

B)

       8/9

C)

       8/729

D)

       8/243

View Answer
88) Consider a family of circles which are passing through the point (-1, 1) and are touching X-axis. If (h, k) are the coordinates of the centre of the circles, then the set of values of k is given by the interval AIEEE Solved Paper-2007

A)

\[4f\]

B)

\[4f\]

C)

       \[5f\]

D)

       \[5f\]

View Answer
89) Let L be the line of intersection of the planes \[4f\]and\[25{}^\circ C\]. If L makes an angle a with the positive x-axis, then\[\frac{2}{3}\] equals AIEEE Solved Paper-2007

A)

\[\frac{1}{3}\times \frac{273}{298}\]

B)

       1/2

C)

       1

D)

       \[\frac{1}{3}\]

View Answer
90) The differential equation of all circles passing through the origin and having their centres on the X-axis is AIEEE Solved Paper-2007

A)

\[\frac{1}{2}\]

B)

\[1.0\text{ }g\,c{{m}^{-3}},\]

C)

\[90.0\text{ }g\,mo{{l}^{-1}}\]

D)

\[\text{115}\text{.0 }g\,mo{{l}^{-1}}\]

View Answer
91) If p and g are positive real numbers such that \[\text{105}\text{.0 }g\,mo{{l}^{-1}}\]then the maximum value of\[\text{210}\text{.0 }g\,mo{{l}^{-1}}\]is AIEEE Solved Paper-2007

A)

2

B)

                                       \[\Delta U\]

C)

\[100{}^\circ C,\]

D)

       \[K=41\text{ }kJ\text{ }mo{{l}^{-1}}\]

View Answer
92) A tower stands at the centre of a circular park. A and B are two points on the boundary of the park such that AB (= a) subtends an angle of \[R=8.3\text{ }J\text{ }mo{{l}^{-1}}\]at the/foot of the tower and the angle of elevation of the top of the tower from A or B is\[4.100\,kJ\,mo{{l}^{-1}}\]. The height of the tower is AIEEE Solved Paper-2007

A)

\[3.7904\text{ }kJ\,mo{{l}^{-1}}\]

B)

                       \[37.904\text{ }kJ\text{ }mo{{l}^{-1}}\]

C)

       \[41.00\text{ }kJ\text{ }mo{{l}^{-1}}\]

D)

       \[AgI{{O}_{3}}\]

View Answer
93) The sum of the series, \[^{20}{{C}_{0}}{{-}^{20}}{{C}_{1}}{{+}^{20}}{{C}_{2}}{{-}^{20}}{{C}_{3}}\,+...-...{{+}^{20}}{{C}_{10}}\] is AIEEE Solved Paper-2007

A)

\[{{K}_{sp}}\]

B)

       \[AgI{{O}_{3}}\]

C)

0

D)

       \[1.0\times {{10}^{-8}},\]

View Answer
94) The normal to a curve at\[AgI{{O}_{3}}\]meets the x-axis at G. If the distance of G from the origin is twice the abscissa of P, then the curve is a AIEEE Solved Paper-2007

A)

ellipse

B)

       parabola

C)

       circle

D)

       hyperbola

View Answer
95) If \[28.3\times {{10}^{-2}}g\]then the maximum value of\[2.83\times {{10}^{-3}}g\]is AIEEE Solved Paper-2007

A)

4

B)

       10

C)

       6

D)

       0

View Answer
96) The resultant of two forces P N and 3 N is a force of 7 N. If the direction of the 3 N force were reversed, the resultant would be \[\sqrt{19}N\]. The value of P is AIEEE Solved Paper-2007

A)

5 N

B)

       6 N

C)

       3 N

D)

       4 N

View Answer
97) Two aeroplanes I and II bomb a target in succession. The probabilities of I and II scoring a hit correctly are 0.3 and 0.2, respectively. The second plane will bomb only if the first misses the target. The probability that the target is hit by the second plane is AIEEE Solved Paper-2007

A)

0.06

B)

       0.14

C)

       0.2

D)

       0.7

View Answer
98) If\[1.0\times {{10}^{-7}}g\]for\[1.0\times {{10}^{-4}}g\],\[{{S}_{N}}2\]then D is AIEEE Solved Paper-2007

A)

divisible by neither\[X=a\]nor y

B)

divisible by both\[RC{{H}_{2}}X>{{R}_{3}}CX>{{R}_{2}}CHX\]and y

C)

divisible by\[RC{{H}_{2}}X>{{R}_{2}}CHX>{{R}_{3}}CX\]but not y

D)

divisible by y but not\[{{R}_{3}}CX>{{R}_{2}}CHX>RC{{H}_{2}}X\]

View Answer
99) For the hyperbola \[{{R}_{2}}CHX>{{R}_{3}}CX>RC{{H}_{2}}X\]which of the following remains constant when \[\alpha \] varies? AIEEE Solved Paper-2007

A)

Eccentricity

B)

Directrix

C)

Abscissae of vertices

D)

Abscissae of foci

View Answer
100) If a line makes an angle of \[C{{H}_{3}}C{{H}_{2}}OH\xrightarrow[{}]{P+{{I}_{2}}}A\xrightarrow[Ether]{Mg}B\xrightarrow[{}]{HCHO}\]with the positive directions of each of X-axis and Y-axis, then the angle that the line makes with the positive direction of the Z-axis is AIEEE Solved Paper-2007

A)

\[C\xrightarrow[{}]{{{H}_{2}}O}D\]

B)

\[n=3,\text{ }l=1,\text{ }m=1,\text{ }s=+\text{ }1/2\]

C)

       \[n=3,l=2,m=1,s=+1/2\]

D)

       \[n=4,\text{ }l=0,\text{ }m=0,\text{ }s=+\text{ }1/2\]

View Answer
101) A value of C for which the conclusion of Mean Value Theorem holds for the function\[n=3,\text{ }l=0,\text{ }m=0,\text{ }s=+\text{ }1/2\] \[OH...N\] the interval [1, 3] is AIEEE Solved Paper-2007

A)

\[FH...F\]

B)

       \[OH...O\]

C)

       \[OH...F\]

D)

       \[2Al(s)+6HCl(aq)\xrightarrow[{}]{{}}2A{{l}^{3+}}(aq)\]

View Answer
102) The function\[+6C{{l}^{-}}(aq)+3{{H}_{2}}(g)\]is an increasing function in AIEEE Solved Paper-2007

A)

\[6\text{ }L\text{ }HCl(aq)\]

B)

       \[3\text{ }L\text{ }{{H}_{2}}(g)\]

C)

                       \[33.6\,L\,{{H}_{2}}(g)\]

D)

       \[Al\]

View Answer
103) Let\[67.2\text{ }L\,{{H}_{2}}(g)\]. If\[Al\]then | a| equals AIEEE Solved Paper-2007

A)

\[11.2\,L\,{{H}_{2}}(g)\]

B)

       1

C)

\[HCl(aq)\]

D)

5

View Answer
104) The sum of the series\[\alpha -\]upto infinity is AIEEE Solved Paper-2007

A)

\[\beta -\]

B)

       \[{{H}_{2}}O\]

C)

\[25{}^\circ C\]

D)

       \[\Lambda _{C{{H}_{3}}COONa}^{o}=91.0\text{ }S\text{ }c{{m}^{2}}/equiv\]

View Answer
105) If \[\hat{u}\] and \[\hat{v}\] are unit vectors and \[\theta \] is the acute angle between them, then\[\Lambda _{HCl}^{o}=426.2\text{ }S\text{ }c{{m}^{2}}/equiv\]is a unit vector for AIEEE Solved Paper-2007

A)

exactly two values of \[\theta \]

B)

more than two values of \[\theta \]

C)

no value of \[\theta \]

D)

exactly one value of \[\theta \]

View Answer
106) A particle just clears a wall of height b at a distance a and strikes the ground at a distance c from the point of projection. The angle of projection is AIEEE Solved Paper-2007

A)

\[{{\Lambda }^{o}}\]

B)

       \[{{\Lambda }^{o}}\]

C)

       \[NaCl\]

D)

       \[{{\Lambda }^{o}}\]

View Answer
107) The average marks of boys in a class is 52 and that of "girls is 42. The average marks of boys and girls combined is 50. The percentage of boys in the class is AIEEE Solved Paper-2007

A)

40

B)

       20

C)

       80

D)

       60

View Answer
108) The equation of a tangent to the parabola \[C{{H}_{3}}COOK\]is\[{{H}^{+}}(\lambda _{{{H}^{+}}}^{o})\]. The point on this line from which the other tangent to the parabola is perpendicular to the given tangent is AIEEE Solved Paper-2007

A)

(-1, 1)

B)

       (0, 2)

C)

       (2, 4)

D)

       (-2, 0)

View Answer
109) If (21 3, 5) is one end of a diameter of the sphere \[{{\Lambda }^{o}}\] then the coordinates of the other end of the diameter are AIEEE Solved Paper-2007

A)

(4, 9,-3)

B)

       (4,-3, 3)

C)

       (4, 3, 5)

D)

       (4, 3, -3)

View Answer
110) Let \[(CIC{{H}_{2}}COOH)\]and\[KMn{{O}_{4}}\] If the vector \[\vec{c}\] lies in the plane of \[\vec{a}\] and \[\vec{b}\], then\[O_{2}^{2-}\]equals

A)

0

B)

       1

C)

       -4

D)

       -2

View Answer
111) Let A(h, k), B(1, 1) and C(2, 1) be the vertices of a right angled triangle with AC as its hypotenuse. If the area of the triangle is 1, then the set of values which 'k' can take is given by AIEEE Solved Paper-2007

A)

{1, 3}

B)

       {0, 2}

C)

       {-1, 3}

D)

       {-3,-2}

View Answer
112) Let P = (-1, 0), Q = (0, 0) and\[O_{2}^{+}\] be three points. The equation of the bisector of \[{{O}_{2}}\]is AIEEE Solved Paper-2007

A)

\[NO\]

B)

       \[Si,Ge,Sn\]

C)

                       \[Pb\]

D)

                       \[Ge{{X}_{2}}<Si{{X}_{2}}<Sn{{X}_{2}}<Pb{{X}_{2}}\]

View Answer
113) If one of the lines of\[Si{{X}_{2}}<Ge{{X}_{2}}<Pb{{X}_{2}}<Sn{{X}_{2}}\]is a bisector of the angle between the lines\[Si{{X}_{2}}<Ge{{X}_{2}}<Sn{{X}_{2}}<Pb{{X}_{2}}\]then m is AIEEE Solved Paper-2007

A)

\[Pb{{X}_{2}}<Sn{{X}_{2}}<Ge{{X}_{2}}<Si{{X}_{2}}\]

B)

       \[S{{O}_{2}}\]

C)

       \[S{{O}_{3}}\]

D)

       2

View Answer
114) Let\[NaOH(aq)\]where\[N{{a}_{2}}Si{{O}_{3}}\]Then, F(e) equals AIEEE Solved Paper-2007

A)

\[{{H}_{2}}O\]

B)

       0

C)

       1

D)

       2

View Answer
115) Let\[C{{l}_{2}}\]be a function denned by \[N{{H}_{3}}\]\[{{N}_{2}}\]. Then, which of the following is true? AIEEE Solved Paper-2007

A)

\[HCl\]for all\[B{{r}_{2}}\]

B)

\[NaOH\]is not differentiate at\[NaBr,NaBr{{O}_{4}}\]

C)

\[{{H}_{2}}O\]is differentiable everywhere

D)

\[{{K}^{+}},C{{a}^{2+}},M{{g}^{2+}},B{{e}^{2+}}\]is not differentiable at\[M{{g}^{2+}}<B{{e}^{2+}}<{{K}^{+}}<C{{a}^{2+}}\]

View Answer
116) The function\[B{{e}^{2+}}<{{K}^{+}}<C{{a}^{2+}}<M{{g}^{2+}}\]given by \[{{K}^{+}}<C{{a}^{2+}}<M{{g}^{2+}}<B{{e}^{2+}}\] can be made continuous at\[C{{a}^{2+}}<M{{g}^{2+}}<B{{e}^{2+}}<{{K}^{+}}\]by defining f(0) as AIEEE Solved Paper-2007

A)

2

B)

-1

C)

0

D)

1

View Answer
117) The solution for\[g\text{ }m{{L}^{-1}}\]of the equation \[{{H}_{2}}S{{O}_{4}}\]is. AIEEE Solved Paper-2007

A)

2

B)

       \[=98\text{ }g\text{ }mo{{l}^{-1}}\]

C)

       \[{{H}_{2}}A\]

D)

      \[1.0\times {{10}^{-5}}\]

View Answer
118) \[5.0\times {{10}^{-10}}\]equals AIEEE Solved Paper-2007

A)

\[\frac{1}{2}\log \,\tan \,\left( \frac{x}{2}+\frac{\pi }{12} \right)+C\]

B)

\[\frac{1}{2}\log \tan \,\left( \frac{x}{2}-\,\frac{\pi }{12} \right)\,+C\]

C)

\[\log \,\tan \,\left( \frac{x}{2}+\frac{\pi }{12}\, \right)+C\]

D)

\[\log \,\tan \,\left( \frac{x}{2}-\frac{\pi }{12} \right)+C\]

View Answer
119) The area enclosed between the curves\[CaC{{O}_{3}}(s)\xrightarrow{{}}CaO(s)+C{{O}_{2}}(g)\] and\[\Delta H{}^\circ \]is AIEEE Solved Paper-2007

A)

\[\Delta S{}^\circ \]

B)

       1

C)

\[+179.1\text{ }kJ\]

D)

       \[mo{{l}^{-1}}\]

View Answer
120) If the difference between the roots of the equation\[160.2\text{ }J/K\]is less than\[\Delta H{}^\circ \]then the set of possible values of a is AIEEE Solved Paper-2007

A)

(-3, 3)

B)

       \[\Delta S{}^\circ \]

C)

       \[\frac{1}{2}(1-\sqrt{5})\]

D)

       \[\frac{1}{2}\sqrt{5}\]

View Answer