question_answer1) Direction: Q. No. 1 The question contains Statement-I and Statement-II of the four Choices given after the statements, choose the one that best describe 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 connected 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. AIEEE Solved Paper-2009
A) Statement - 1 is True, Statement - 2 is False. done clear
B) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1. done clear
C) Statement-1 is True, Statement-2 is True; Statement-2 is not the correct explanation for Statement-1. done clear
D) Statement - 1 is False, Statement - 2 is true. done clear
View Answer play_arrowquestion_answer2) There 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: (i) \[A+B\to C+\varepsilon \] (ii) \[C\to A+B+\varepsilon \] (iii) \[D+E\to F+\varepsilon \] (iv) \[F\to D+E+\varepsilon \] Where \[\varepsilon \] is the energy released? In which reaction is e positive? AIEEE Solved Paper-2009
A) (i) and (iv) done clear
B) (i) and (iii) done clear
C) (ii) and (iv) done clear
D) (ii) and (iii). done clear
View Answer play_arrowquestion_answer3) A p-n junction (4) 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 (R) can be shown by: AIEEE Solved Paper-2009
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowquestion_answer4) The logic circuit shown below has the input waveforms 'A' and 'B' as shown. Pick out the correct output waveform. Output is: AIEEE Solved Paper-2009
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowquestion_answer5) If\[x,\text{ v}\]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? AIEEE Solved Paper-2009
A) \[{{a}^{2}}{{T}^{2}}+4{{\pi }^{2}}{{v}^{2}}\] done clear
B) \[aT/x\] done clear
C) \[aT+2\pi n\] done clear
D) \[aT/v.\] done clear
View Answer play_arrowquestion_answer6) 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\[45{}^\text{o}\]with the x-axis meets the experimental curve at P. The coordinates of P will be AIEEE Solved Paper-2009
A) (2f, 2f) done clear
B) \[\left( \frac{f}{2},\frac{f}{2} \right)\] done clear
C) \[(f,\text{ }f)\] done clear
D) \[(4f,\text{ }4f).\] done clear
View Answer play_arrowquestion_answer7) 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 rises to a maximum height of AIEEE Solved Paper-2009
A) \[\frac{1}{3}\frac{{{\ell }^{2}}{{\omega }^{2}}}{g}\] done clear
B) \[\frac{1}{6}\frac{\ell \omega }{g}\] done clear
C) \[\frac{1}{2}\frac{{{\ell }^{2}}{{\omega }^{2}}}{g}\] done clear
D) \[\frac{1}{6}\frac{{{\ell }^{2}}{{\omega }^{2}}}{g}\] done clear
View Answer play_arrowquestion_answer8) Let\[p(r)=\frac{Q}{\pi {{R}^{4}}}r\]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 sphere, the magnitude of electric field is AIEEE Solved Paper-2009
A) 0 done clear
B) \[\frac{Q}{4\pi {{\varepsilon }_{0}}r_{1}^{2}}\] done clear
C) \[\frac{Qr_{1}^{2}}{4\pi {{\varepsilon }_{0}}{{R}^{4}}}\] done clear
D) \[\frac{Qr_{1}^{2}}{3\pi {{\varepsilon }_{0}}{{R}^{4}}}\] done clear
View Answer play_arrowquestion_answer9) The transition from the state\[n=4\]to\[n=3\]in a hydrogen like atom results in ultraviolet radiation. Infrared radiation will be obtained in the transition from: AIEEE Solved Paper-2009
A) \[2\to 1\] done clear
B) \[3\to 2\] done clear
C) \[4\to 2\] done clear
D) \[5\to 4\] done clear
View Answer play_arrowquestion_answer10) One kg of a diatomic gas is at a pressure of \[8\times {{10}^{4}}N/{{m}^{2}}.\] The density of the gas is\[4\text{ }kg/{{m}^{3}}\]. What is the energy of the gas due to its thermal motion? AIEEE Solved Paper-2009
A) \[3\times {{10}^{4}}J\] done clear
B) \[5\times {{10}^{4}}J\] done clear
C) \[6\times {{10}^{4}}J\] done clear
D) \[7\times {{10}^{4}}J.\] done clear
View Answer play_arrowquestion_answer11) 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\[27{}^\text{o}C\]to\[227{}^\text{o}C.\] This implies that\[\alpha =2.5\]\[\times {{10}^{3}}/{}^\text{o}C.\] STATEMENT - 2 \[R={{R}_{0}}(1+\alpha \text{ }\Delta t)\]is valid only when the change in the temperature DT is small and\[\Delta R=(R{{R}_{0}})<<{{R}_{0}}.\] AIEEE Solved Paper-2009
A) Statement - 1 is True, Statement - 2 is False. done clear
B) Statement - 1 is True, Statement - 2 is True; Statement - 2 is a correct explanation for Statement - 1. done clear
C) Statement - 1 is True, Statement - 2 is True; Statement - 2 is not the correct explanation for Statement - 1. done clear
D) Statement - 1 is False, Statement - 2 is True. done clear
View Answer play_arrowquestion_answer12) Directions Q. Nos. 12 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 loop are joined by the straight wires AB and CD. A steady current is flowing in the loop. Angle made by A B and CD at the origin O is 30°. Another straight thin wire with steady current 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 AIEEE Solved Paper-2009
A) zero done clear
B) \[\frac{{{\mu }_{0}}I(b-a)}{24ab}\] done clear
C) \[\frac{{{\mu }_{0}}I}{4\pi }\left[ \frac{b-a}{ab} \right]\] done clear
D) \[\frac{{{\mu }_{0}}I}{4\pi }\left[ 2(b\_a)+\frac{\pi }{3}(a+b) \right]\] done clear
View Answer play_arrowquestion_answer13) Directions Q. Nos. 13 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 loop are joined by the straight wires AB and CD. A steady current \[I\] is flowing in the loop. Angle made by A B and CD at the origin O is 30°. Another straight thin wire with steady current \[{{I}_{2}}\] flowing out of the plane of the paper is kept at the origin. Due to the presence of the current \[{{I}_{1}}\] at the origin: AIEEE Solved Paper-2009
A) the forces on AB and DC are zero done clear
B) the forces on AD and BC are zero done clear
C) the magnitude of the net force on the loop is given by\[\frac{{{I}_{1}}I}{4\pi }{{\mu }_{0}}\left[ 2(b-a)+\frac{\pi }{3}(a+b) \right]\] done clear
D) the magnitude of the net force on the loop is given by\[\frac{{{\mu }_{0}}I{{I}_{1}}}{24ab}(b-a)\] done clear
View Answer play_arrowquestion_answer14) 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: AIEEE Solved Paper-2009
A) 393.4 nm done clear
B) 885.0 nm done clear
C) 442.5 nm done clear
D) 776.8 nm. done clear
View Answer play_arrowquestion_answer15) Two points P and Q are maintained at the potentials of 10V and -4V, respectively. The work done in moving 100 electrons from P to Q is AIEEE Solved Paper-2009
A) \[9.60\times {{10}^{17}}J\] done clear
B) \[9.60\times {{10}^{17}}J\] done clear
C) \[2.24\times {{10}^{16}}J\] done clear
D) \[2.24\times {{10}^{16}}J.\] done clear
View Answer play_arrowquestion_answer16) 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:(\[hc=\] \[1240\text{ }eV.nm\]) AIEEE Solved Paper-2009
A) \[3.09\text{ }eV\] done clear
B) \[1.41\text{ }eV\] done clear
C) \[1.51\text{ }eV\] done clear
D) \[1.68\text{ }eV.\] done clear
View Answer play_arrowquestion_answer17) A particle has an initial velocity of\[3\hat{i}+4\hat{j}\]and an acceleration of\[0.4\hat{i}+0.3\hat{j}\]. It speed after 10 s is: AIEEE Solved Paper-2009
A) 10 units done clear
B) \[7\sqrt{2}\] units done clear
C) 7 units done clear
D) 8.5 units. done clear
View Answer play_arrowquestion_answer18) A motor cycle starts from rest and accelerates along a straight path at\[2m/{{s}^{2}}.\] At the straight 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 wound\[=330\text{ }m{{s}^{1}}\]) AIEEE Solved Paper-2009
A) 49 m done clear
B) (2) 98 m done clear
C) 147 m done clear
D) 196 m. done clear
View Answer play_arrowquestion_answer19) Consider a rubber ball freely falling from a height\[h=4.9\text{ }m\]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: AIEEE Solved Paper-2009
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowquestion_answer20) A charge Q is placed at each of the opposite corners of a square. A charge q is placed at each of the other tow corners. If the net electrical force on Q is zero, then Q/q equals: AIEEE Solved Paper-2009
A) \[-2\sqrt{2}\] done clear
B) -1 done clear
C) 1 done clear
D) \[-\frac{1}{\sqrt{2}}\] done clear
View Answer play_arrowquestion_answer21) 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? AIEEE Solved Paper-2009
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowquestion_answer22) A transparent solid cylindrical rod has a refractive index of\[\frac{2}{\sqrt{3}}\].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. The incident angle \[\theta \] for which the light ray grazes along the wall of the rod is: AIEEE Solved Paper-2009
A) \[{{\sin }^{-1}}\left( \frac{1}{2} \right)\] done clear
B) \[{{\sin }^{-1}}\left( \frac{\sqrt{3}}{2} \right)\] done clear
C) \[{{\sin }^{-1}}\left( \frac{2}{\sqrt{3}} \right)\] done clear
D) \[{{\sin }^{-1}}\left( \frac{1}{\sqrt{3}} \right)\] done clear
View Answer play_arrowquestion_answer23) Three sound waves of equal amplitudes have frequencies\[(v1),v,(v+1).\]They superpose to give beats. The number of beats produced per second will be AIEEE Solved Paper-2009
A) 4 done clear
B) 3 done clear
C) 2 done clear
D) 1. done clear
View Answer play_arrowquestion_answer24) The height at which the acceleration due to gravity becomes\[\frac{g}{9}\](where g = the acceleration due to gravity on the surface of the earth) in terms of R, the radius of the earth, is: AIEEE Solved Paper-2009
A) 2R done clear
B) \[\frac{R}{\sqrt{2}}\] done clear
C) R/2 done clear
D) \[\sqrt{2}R\] done clear
View Answer play_arrowquestion_answer25) Two wires are made of the same material and have the same volume. However wire 1 has cross-section 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? AIEEE Solved Paper-2009
A) F done clear
B) 4F done clear
C) 6F done clear
D) 9F. done clear
View Answer play_arrowquestion_answer26) 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 \[(=0.5{}^\text{o}),\]then the least count of the instrument is:
A) one minute done clear
B) half minute done clear
C) one degree done clear
D) half degree. done clear
View Answer play_arrowquestion_answer27) An inductor of inductance\[L=400\text{ }mH\]and resistors of resistances\[{{R}_{1}}=2\text{ }\Omega \]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: AIEEE Solved Paper-2009
A) \[6\text{ }{{e}^{5t}}V\] done clear
B) \[\frac{12}{t}{{e}^{-3t}}V\] done clear
C) \[6\left( 1-{{e}^{\frac{-t}{0.2}}} \right)V\] done clear
D) \[12{{e}^{-5t}}V\] done clear
View Answer play_arrowquestion_answer28) Directions Q. Nos. 28 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: AIEEE Solved Paper-2009
A) 200 R done clear
B) 300 R done clear
C) 400 R done clear
D) 500 R done clear
View Answer play_arrowquestion_answer29) Directions Q. Nos. 29 are based on the following paragraph. Two moles of helium gas are taken over the cycle ABCDA, as shown in the p-T diagram. The work done on the gas is taking it from D to A is AIEEE Solved Paper-2009
A) -414 R done clear
B) +414 R done clear
C) -690 R done clear
D) +690 R done clear
View Answer play_arrowquestion_answer30) Directions Q. Nos. 30 are based on the following paragraph. Two moles of helium gas are taken over the cycle ABCDA, as shown in the p-T diagram. The net work done on the gas in the cycle ABCDA is AIEEE Solved Paper-2009
A) zero done clear
B) 276 R done clear
C) 1076 R done clear
D) 1904 R done clear
View Answer play_arrowquestion_answer31) Knowing that the Chemistry of lanthanoids (Ln) is dominated by its +3 oxidation state, which of the following statements is incorrect? AIEEE Solved Paper-2009
A) Because of the large size of the Ln (III) ions the bonding in its compounds is predominantly ionic in character. done clear
B) The ionic sizes of Ln (III) decrease in general with increasing atomic number. done clear
C) Ln (III) compounds are generally colourless done clear
D) Ln (III) hydroxides are mainly basic in character. done clear
View Answer play_arrowquestion_answer32) A liquid was mixed with ethanol and a drop of concentrated \[{{H}_{2}}S{{O}_{4}}\] was added. A compound with a fruity smell was formed. The liquid was: AIEEE Solved Paper-2009
A) \[C{{H}_{3}}OH\] done clear
B) \[HCHO\] done clear
C) \[C{{H}_{3}}COC{{H}_{3}}\] done clear
D) \[C{{H}_{3}}COOH\] done clear
View Answer play_arrowquestion_answer33) 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: AIEEE Solved Paper-2009
A) \[{{C}_{6}}{{H}_{5}}\overline{C}{{H}_{2}}>\overline{C}C{{l}_{3}}>{{(C{{H}_{3}})}_{3}}\overline{C}>{{(C{{H}_{3}})}_{2}}\overline{C}H\] done clear
B) \[{{(C{{H}_{3}})}_{2}}\overline{C}H>\overline{C}C{{l}_{3}}>{{C}_{6}}{{H}_{5}}\overline{C}{{H}_{2}}>{{(C{{H}_{3}})}_{3}}\overline{C}\] done clear
C) \[\overline{C}C{{l}_{3}}>{{C}_{6}}{{H}_{5}}\overline{C}{{H}_{2}}>{{(C{{H}_{3}})}_{2}}\overline{C}H>{{(C{{H}_{3}})}_{3}}\overline{C}\] done clear
D) \[{{(C{{H}_{3}})}_{3}}\overline{C}>{{(C{{H}_{3}})}_{2}}\overline{C}H>{{C}_{6}}{{H}_{5}}\overline{C}{{H}_{2}}>\overline{C}C{{l}_{3}}\] done clear
View Answer play_arrowquestion_answer34) The alkene that exhibits geometrical isomerism is: AIEEE Solved Paper-2009
A) propene done clear
B) 2-methyl propene done clear
C) 2-butene done clear
D) 2-methyl-2-butene done clear
View Answer play_arrowquestion_answer35) In which of the following arrangements, the sequence is not strictly according to the property written against it? AIEEE Solved Paper-2009
A) \[C{{O}_{2}}>Si{{O}_{2}}<Sn{{O}_{2}}<Pb{{O}_{2}}:\]increasing oxidizing power done clear
B) \[HF<HCl<HBr<HI:\]increasing acid strength done clear
C) \[N{{H}_{3}}<P{{H}_{3}}<As\text{ }{{H}_{3}}<Sb{{H}_{3}}:\]increasing basic strength done clear
D) \[B<C<O<N:\]increasing first ionization enthalpy done clear
View Answer play_arrowquestion_answer36) The major product obtained on interaction of phenol with sodium hydroxide and carbon dioxide is: AIEEE Solved Paper-2009
A) benzoic acid done clear
B) salicylaldehyde done clear
C) salicylic acid done clear
D) phthalic acid done clear
View Answer play_arrowquestion_answer37) Which of the following statement is incorrect regarding physissorptions? AIEEE Solved Paper-2009
A) It occurs because of van der Waal?s forces. done clear
B) More easily liquiefiable gases are adsorbed readily done clear
C) Under high pressure it results into multi molecular layer on adsorbent surface done clear
D) Enthalpy of adsorption (DHadorption) is low and positive. done clear
View Answer play_arrowquestion_answer38) Which of the following on heating with aqueous\[KOH,\]produces acetaldehyde? AIEEE Solved Paper-2009
A) \[C{{H}_{3}}COCl\] done clear
B) \[C{{H}_{3}}C{{H}_{2}}Cl\] done clear
C) \[C{{H}_{2}}ClC{{H}_{2}}Cl\] done clear
D) \[C{{H}_{3}}CHC{{l}_{2}}\] done clear
View Answer play_arrowquestion_answer39) 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 \[h=6.6\times {{10}^{34}}kg\]\[{{m}^{2}}{{s}^{1}},\]mass of electron\[{{e}_{m}}=9.1\times {{10}^{31}}kg\]): AIEEE Solved Paper-2009
A) \[1.52\times {{10}^{4}}m\] done clear
B) \[5.01\times {{10}^{3}}m\] done clear
C) \[1.92\times {{10}^{3}}m\] done clear
D) \[3.84\times {{10}^{3}}m\] done clear
View Answer play_arrowquestion_answer40) In a fuel cell methanol is used as fuel and oxygen gas is used as an oxidizer. The reaction is \[C{{H}_{3}}OH(l)+3/2{{O}_{2}}(g)\xrightarrow[{}]{{}}C{{O}_{2}}(g)+2{{H}_{2}}O(l)\] At 298 K standard Gibb?s energies of formation for\[C{{H}_{3}}OH(l),{{H}_{2}}O(l)\]and\[C{{O}_{2}}(g)\]are -166.2, - 237.2 and -394.4 kJ \[mo{{l}^{1}}\]respectively. If standard enthalpy of combustion of methanol is\[726\text{ }kJ\text{ }mo{{l}^{1}},\] efficiency of the fuel cell will be: AIEEE Solved Paper-2009
A) 80% done clear
B) 87% done clear
C) 90% done clear
D) 97% done clear
View Answer play_arrowquestion_answer41) 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 mmHg) of X and Y in their pure states will be respectively: AIEEE Solved Paper-2009
A) 200 and 300 done clear
B) 300 and 400 done clear
C) 400 and 600 done clear
D) 500 and 600 done clear
View Answer play_arrowquestion_answer42) 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\[(log2=0.301)\] AIEEE Solved Paper-2009
A) 230.3 minutes done clear
B) 23.03 minute done clear
C) 46.06 minutes done clear
D) 460.6 minutes done clear
View Answer play_arrowquestion_answer43) Given: \[E_{F{{e}^{3+}}/Fe}^{0}=-0.036V,E_{F{{e}^{2+}}/Fe}^{0}=-0.439V.\]The value of standard electrode potential for the change,\[Fe_{(aq)}^{3+}+{{e}^{-}}\to F{{e}^{2+}}(aq)\]will be: AIEEE Solved Paper-2009
A) -0.072 V done clear
B) 0.385 V done clear
C) 0.770V done clear
D) -0.270V done clear
View Answer play_arrowquestion_answer44) On the basis of the following thermo chemical data:\[(\Delta f\,{{G}^{o}}H_{(aq)}^{+}=0)\] \[{{H}_{2}}O(l)\xrightarrow[{}]{{}}{{H}^{+}}(aq)+O{{H}^{}}(aq);\] \[\Delta H=57.32\text{ }kJ\] \[{{H}_{2}}O(g)+\frac{1}{2}{{O}_{2}}(g)\xrightarrow{{}}{{H}_{2}}O(l);\] \[\Delta H=-286.20\,KJ\] The value of enthalpy of formation of\[O{{H}^{}}\]ion at\[25{}^\circ C\]is: AIEEE Solved Paper-2009
A) -22.88 kJ done clear
B) -228.88 kJ done clear
C) +228.88 kJ done clear
D) -343.52 kJ done clear
View Answer play_arrowquestion_answer45) Copper crystallizes in \[fcc\] with a unit cell length of 361 pm. What is the radius of copper atom? AIEEE Solved Paper-2009
A) 109 pm done clear
B) 127 pm done clear
C) 157 pm done clear
D) 181 pm done clear
View Answer play_arrowquestion_answer46) Which of the following has an optical isomer? AIEEE Solved Paper-2009
A) \[{{[CO{{(N{{H}_{3}})}_{3}}Cl]}^{+}}\] done clear
B) \[{{[CO(en){{(N{{H}_{3}})}_{2}}]}^{2+}}\] done clear
C) \[[CO{{({{H}_{2}}O)}_{4}}en){{]}^{3+}}\] done clear
D) \[{{[CO{{(en)}_{2}}{{(N{{H}_{3}})}_{2}}]}^{3+}}\] done clear
View Answer play_arrowquestion_answer47) Solid\[Ba{{(N{{O}_{3}})}_{2}}\]is gradually dissolved in a 1.0 \[\times {{10}^{4}}M\text{ }N{{a}_{2}}C{{O}_{3}}\]solution. At what concentration of\[B{{a}^{2+}}\]will a precipitate being to form? (\[{{K}_{sp}}\]for\[Ba\text{ }C{{O}_{3}}=5.1\times {{10}^{9}}\]): AIEEE Solved Paper-2009
A) \[4.1\times {{10}^{5}}M\] done clear
B) \[5.1\times {{10}^{5}}M\] done clear
C) \[8.1\times {{10}^{8}}M\] done clear
D) \[8.1\times {{10}^{7}}M\] done clear
View Answer play_arrowquestion_answer48) Which one of the following reactions of Xenon compounds is not feasible? AIEEE Solved Paper-2009
A) \[Xe{{O}_{3}}+6HF\to Xe{{F}_{6}}+3{{H}_{2}}O\] done clear
B) \[3Xe{{F}_{4}}+6{{H}_{2}}O\to 2Xe+Xe{{O}_{3}}+12\text{ }HF+\] \[1.5{{O}_{2}}\] done clear
C) \[2Xe{{F}_{2}}+2{{H}_{2}}O\to 2Xe+4HF+{{O}_{2}}\] done clear
D) \[Xe{{F}_{6}}+RbF\to Rb[Xe{{F}_{7}}]\] done clear
View Answer play_arrowquestion_answer49) Using MO theory predict which of the following species has the shortest bond length? AIEEE Solved Paper-2009
A) \[O_{2}^{2+}\] done clear
B) \[O_{2}^{+}\] done clear
C) \[O_{2}^{-}\] done clear
D) \[O_{2}^{2-}\] done clear
View Answer play_arrowquestion_answer50) In context with the transition elements, which of the following statements is incorrect? AIEEE Solved Paper-2009
A) In addition to the normal oxidation states, the zero oxidation state is also shown by these elements in complexes. done clear
B) In the highest oxidation states, the transition metal show basic character and form cationic complexes. done clear
C) In the highest oxidation states of the first five transition element (Sc to Mn), all the 4s and 3d electrons are used for bonding. done clear
D) Once the \[{{d}^{5}}\] configuration is exceeded, the tendency to involve all the 3d electrons in bonding decreases. done clear
View Answer play_arrowquestion_answer51) Calculate the wavelength (in nanometer) associated with a proton moving at\[1.0\times {{10}^{3}}\]\[m{{s}^{1}}\](Mass of proton\[=1.67\times {{10}^{27}}kg\] and h\[=6.63\times {{10}^{34}}Js\]): AIEEE Solved Paper-2009
A) 0.032 nm done clear
B) 0.40 nm done clear
C) 2.5 nm done clear
D) 14.0 nm done clear
View Answer play_arrowquestion_answer52) A binary liquid solution is prepared by mixing n-heptane and ethanol. Which one of the following statement is correct regarding the behaviour of the solution? AIEEE Solved Paper-2009
A) The solution formed is an ideal solution done clear
B) The solution is non-ideal, showing +ve deviation from Raoult?s Law done clear
C) The solution is non-ideal, showing -ve deviation from Raoult?s Law done clear
D) n-heptane shows +ve deviation while ethanol shows -ve deviation from Raoult?s Law. done clear
View Answer play_arrowquestion_answer53) The number of stereoisomers possible for a compound of the molecular formula\[C{{H}_{3}}CH\] \[=CHCH(OH)Me\] is: AIEEE Solved Paper-2009
A) 3 done clear
B) 2 done clear
C) 4 done clear
D) 6 done clear
View Answer play_arrowquestion_answer54) The IUPAC name of neopentane is: AIEEE Solved Paper-2009
A) 2 - methylbutane done clear
B) 2, 2 - dimethylpropane done clear
C) 2 - methylpropane done clear
D) 2, 2 - dimethylbutane done clear
View Answer play_arrowquestion_answer55) The set representing the correct order of ionic radius is: AIEEE Solved Paper-2009
A) \[L{{i}^{+}}>B{{e}^{2+}}>N{{a}^{+}}>M{{g}^{2+}}\] done clear
B) \[N{{a}^{+}}>L{{i}^{+}}>M{{g}^{2+}}>B{{e}^{2+}}\] done clear
C) \[L{{i}^{+}}>N{{a}^{+}}>M{{g}^{2+}}>B{{e}^{2+}}\] done clear
D) \[M{{g}^{2+}}>B{{e}^{2+}}>L{{i}^{+}}>N{{a}^{+}}\] done clear
View Answer play_arrowquestion_answer56) The two functional groups present in a typical carbohydrate are: AIEEE Solved Paper-2009
A) \[OH\] and \[COOH\] done clear
B) \[CHO\]and\[COOH\] done clear
C) \[>C=O\] and \[OH\] done clear
D) \[OH\] and\[CHO\] done clear
View Answer play_arrowquestion_answer57) The bond dissociation energy of\[BF\]in\[B{{F}_{3}}\]is\[646\text{ }kJ\text{ }mo{{l}^{1}}\] whereas that of\[CF\]in\[C{{F}_{4}}\]is\[515\text{ }kJ\text{ }mo{{l}^{1}}.\] The correct reason for higher\[B-F\]bond dissociation energy as compared to that of\[CF\]is: AIEEE Solved Paper-2009
A) smaller size of B - atom as compared to that of C - atom done clear
B) stronger\[\sigma \]bond between B and F in\[B{{F}_{3}}\]as compared to that between C and F in\[C{{F}_{4}}\] done clear
C) significant\[p\pi -p\pi \]interaction between B and F in\[B{{F}_{3}}\]whreas there is no possibility of such interaction between C and F in\[C{{F}_{4}}\] done clear
D) lower degree of \[p\pi -p\pi \] interaction between B and F in\[B{{F}_{3}}\]than that between C and F in\[C{{F}_{4}}\] done clear
View Answer play_arrowquestion_answer58) In Cannizzaro reaction given below \[2Ph\text{ }CHO\xrightarrow[{}]{:\overset{\text{O-}}{\mathop{OH}}\,}Ph\text{ }C{{H}_{2}}OH+pHC\overset{\bullet \,\bullet }{\mathop{O_{2}^{\text{O-}}}}\,\] The slowest step is: AIEEE Solved Paper-2009
A) the attack of: \[O{{H}^{}}\]at the carboxyl group done clear
B) the transfer of hydride to the carbonyl group done clear
C) the abstraction of proton from the carboxylic group done clear
D) the deprotonation of\[pH\text{ }C{{H}_{2}}OH\] done clear
View Answer play_arrowquestion_answer59) Which of the following pairs represents linkage isomers? AIEEE Solved Paper-2009
A) \[[Cu{{(N{{H}_{3}})}_{4}}][Pt\text{ }C{{l}_{4}}]\]and \[[Pt{{(N{{H}_{3}})}_{4}}][CuC{{l}_{4}}]\] done clear
B) \[[Pd{{(P\text{ }P{{h}_{3}})}_{2}}{{(NCS)}_{2}}]\]and \[[Pd{{(P\text{ }P{{h}_{3}})}_{2}}{{(SCN)}_{2}}]\] done clear
C) \[[CO{{(N{{H}_{3}})}_{5}}\text{ }N{{O}_{3}}]S{{O}_{4}}\] and \[[CO{{(N{{H}_{3}})}_{5}}S{{O}_{4}}]N{{O}_{3}}\] done clear
D) \[[PtC{{l}_{2}}{{(N{{H}_{3}})}_{4}}]B{{r}_{2}}\]and \[[Pt\text{ }B{{r}_{2}}{{(N{{H}_{3}})}_{4}}]C{{l}_{2}}\] done clear
View Answer play_arrowquestion_answer60) Buna-N synthetic rubber is a copolymer of: AIEEE Solved Paper-2009
A) \[{{H}_{2}}C=CH-\overset{\begin{smallmatrix} Cl \\ | \end{smallmatrix}}{\mathop{C}}\,=C{{H}_{2}}\] and \[{{H}_{2}}C=CHCH=C{{H}_{2}}\] done clear
B) \[{{H}_{2}}C=CHCH=C{{H}_{2}}\]and \[{{H}_{5}}{{C}_{6}}CH=C{{H}_{2}}\] done clear
C) \[{{H}_{2}}C=CHCN\] and \[{{H}_{2}}C=CHCH=C{{H}_{2}}\] done clear
D) \[{{H}_{2}}C=CHCN\] and\[{{H}_{2}}C=CH\underset{\begin{smallmatrix} | \\ C{{H}_{3}} \end{smallmatrix}}{\mathop{C}}\,=C{{H}_{2}}\] done clear
View Answer play_arrowquestion_answer61) Let a, b, c be such that\[b(a+c)\ne 0\]. If \[\left| \begin{matrix} a & a+1 & a-1 \\ -b & b+1 & b-1 \\ c & c-1 & c+1 \\ \end{matrix} \right|+\left| \begin{matrix} a+1 & b+1 & c-1 \\ a-1 & b-1 & c+1 \\ {{(-1)}^{n+2}}a & {{(-1)}^{n+1}}b & {{(-1)}^{n}}c \\ \end{matrix} \right|=0,\] then the value of n is AIEEE Solved Paper-2009
A) zero done clear
B) any even integer done clear
C) any odd integer done clear
D) any integer done clear
View Answer play_arrowquestion_answer62) If the mean deviation of the numbers 1, 1 + d, 1 + 2d, ... , 1 + 100d from their mean is 255, then the d is equal to AIEEE Solved Paper-2009
A) 10.0 done clear
B) 20.0 done clear
C) 10.1 done clear
D) 20.2 done clear
View Answer play_arrowquestion_answer63) If the roots of the equation\[b{{x}^{2}}+cx+a=0\]be imaginary, then for all real values of\[x,\]the expression\[3{{b}^{2}}{{x}^{2}}+6bcx+2{{c}^{2}}\]is AIEEE Solved Paper-2009
A) greater than 4ab done clear
B) less than 4ab done clear
C) greater than -4ab done clear
D) less than -4ab done clear
View Answer play_arrowquestion_answer64) Let A and B denote the statements \[A:\text{ }cos\,\alpha +cos\beta +cos\,\gamma =0\] \[B:\text{ }sin\,\alpha +sin\,\beta +sin\,\gamma =0\] If\[cos(\beta \gamma )+cos(\gamma \alpha )+cos(\alpha \beta )=3/2,\] then AIEEE Solved Paper-2009
A) A is true and B is false done clear
B) A is false and B is true done clear
C) both A and B are true done clear
D) both A and B are false done clear
View Answer play_arrowquestion_answer65) The lines\[p({{p}^{2}}+1)xy+q=0\]and \[{{({{p}^{2}}+1)}^{2}}x+({{p}^{2}}+1)y+2q=0\]are perpendicular to a common line for AIEEE Solved Paper-2009
A) no value of p done clear
B) exactly one value of p done clear
C) exactly two values of p done clear
D) more than two values of p done clear
View Answer play_arrowquestion_answer66) If A, B and C are three sets such that \[A\cap B=A\cap C\]and\[A\cup B=A\cup C,\]then AIEEE Solved Paper-2009
A) \[A=B\] done clear
B) \[A=C\] done clear
C) \[B=C\] done clear
D) \[A\cap B=\phi \] done clear
View Answer play_arrowquestion_answer67) If \[\overrightarrow{u},\overrightarrow{v},\overrightarrow{w}\]are non-coplanar vectors and p, q are real numbers, then the equality\[[3\overrightarrow{u},\text{ }p\overrightarrow{v},p\overrightarrow{w}]-[p\overrightarrow{v},\overrightarrow{w},q\overrightarrow{u}]-[2\overrightarrow{w},q\overrightarrow{v},q\overrightarrow{u}]=0\]holds for AIEEE Solved Paper-2009
A) exactly one value of (p, q) done clear
B) exactly two values of (p, q) done clear
C) more than two but not all values of (p, q) done clear
D) all values of (p, q) done clear
View Answer play_arrowquestion_answer68) Let the line \[\frac{x-2}{3}=\frac{y-1}{-5}=\frac{z+2}{2}\]lie in the plane\[x+3y\alpha z+\beta =0.\]Then \[(\alpha ,\,\,\beta )\] equals AIEEE Solved Paper-2009
A) (6, - 17) done clear
B) (-6, 7) done clear
C) (5, -15) done clear
D) (-5, 5) done clear
View Answer play_arrowquestion_answer69) 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 AIEEE Solved Paper-2009
A) less than 500 done clear
B) at least 500 but less than 750 done clear
C) at least 750 but less than 1000 done clear
D) at least 1000 done clear
View Answer play_arrowquestion_answer70) \[\int\limits_{0}^{\pi }{[\cot x]dx,}\]where [.] denotes the greatest integer function, is equal to AIEEE Solved Paper-2009 v
A) \[\pi /2\] done clear
B) 1 done clear
C) \[-1\] done clear
D) \[-\pi /2\] done clear
View Answer play_arrowquestion_answer71) For real\[x,\]let\[f(x)={{x}^{3}}+5x+1,\]then AIEEE Solved Paper-2009
A) f is one-one but not onto R done clear
B) f is onto R but not one-one done clear
C) f is one-one and onto R done clear
D) f is neither one-one nor onto R done clear
View Answer play_arrowquestion_answer72) In a binomial distribution \[B\left( n,p=\frac{1}{4} \right),\]if the probability of at least one success is greater than or equal to\[\frac{9}{10}\], then n is greater than AIEEE Solved Paper-2009
A) \[\frac{1}{\log _{10}^{4}-\log _{10}^{3}}\] done clear
B) \[\frac{1}{\log _{10}^{4}+\log _{10}^{3}}\] done clear
C) \[\frac{9}{\log _{10}^{4}-\log _{10}^{3}}\] done clear
D) \[\frac{4}{\log _{10}^{4}-\log _{10}^{3}}\] done clear
View Answer play_arrowquestion_answer73) If P and Q are the points of intersection of the circles\[{{x}^{2}}+{{y}^{2}}+3x+7y+2p5=0\]and \[{{x}^{2}}+{{y}^{2}}+2x+2y{{p}^{2}}=0,\]then there is a circle passing through P, Q and (1, 1) for AIEEE Solved Paper-2009
A) all values of p done clear
B) all except one value of p done clear
C) all except two values of p done clear
D) exactly one value of p done clear
View Answer play_arrowquestion_answer74) The projections of a vector on the three coordinate axis are 6, -3, 2 respectively. The direction cosines of the vector are AIEEE Solved Paper-2009
A) 6, -3, 2 done clear
B) \[\frac{6}{5},\frac{-3}{5},\frac{2}{5}\] done clear
C) \[\frac{6}{7},\frac{-3}{7},\frac{2}{7}\] done clear
D) \[\frac{-6}{7},\frac{-3}{7},\frac{2}{7}\] done clear
View Answer play_arrowquestion_answer75) If\[\left| Z-\frac{4}{z} \right|=2,\]then the maximum value of |Z| is equal to AIEEE Solved Paper-2009
A) \[\sqrt{3}+1\] done clear
B) \[\sqrt{5}+1\] done clear
C) 2 done clear
D) \[2+\sqrt{2}\] done clear
View Answer play_arrowquestion_answer76) Three distinct points A, B and C are given in the 2-dimensional 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\[\frac{1}{3}\]. Then the circumcentre of the triangle ABC is at the point AIEEE Solved Paper-2009
A) (0, 0) done clear
B) \[\left( \frac{5}{4},0 \right)\] done clear
C) \[\left( \frac{5}{2},0 \right)\] done clear
D) \[\left( \frac{5}{3},0 \right)\] done clear
View Answer play_arrowquestion_answer77) The remainder left out when\[{{8}^{2n}}{{(62)}^{2n+1}}\] is divided by 9 is AIEEE Solved Paper-2009
A) 0 done clear
B) 2 done clear
C) 7 done clear
D) 8 done clear
View Answer play_arrowquestion_answer78) The ellipse\[{{x}^{2}}+4{{y}^{2}}=4\]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 AIEEE Solved Paper-2009
A) \[{{x}^{2}}+16{{y}^{2}}=16\] done clear
B) \[{{x}^{2}}+12{{y}^{2}}=16\] done clear
C) \[4{{x}^{2}}+48{{y}^{2}}=48\] done clear
D) \[4{{x}^{2}}+64{{y}^{2}}=48\] done clear
View Answer play_arrowquestion_answer79) The sum to infinity of the series \[1+\frac{2}{3}+\frac{6}{{{3}^{2}}}+\frac{10}{{{3}^{3}}}\frac{14}{{{3}^{4}}}+....\]is
A) 2 done clear
B) 3 done clear
C) 4 done clear
D) 6 done clear
View Answer play_arrowquestion_answer80) 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 AIEEE Solved Paper-2009
A) \[y'={{y}^{2}}\] done clear
B) \[y''=y'y\] done clear
C) \[yy''=y'\] done clear
D) \[yy''={{(y')}^{2}}\] done clear
View Answer play_arrowquestion_answer81) 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 zero, equals AIEEE Solved Paper-2009
A) 1/14 done clear
B) 1/7 done clear
C) 5/14 done clear
D) 1/50 done clear
View Answer play_arrowquestion_answer82) Let y be an implicit function of x defined by \[{{x}^{2x}}2{{x}^{x}}coty1=0.\]Then y?(1) equals AIEEE Solved Paper-2009
A) -1 done clear
B) 1 done clear
C) \[log\text{ }2\] done clear
D) \[\text{ }log2\] done clear
View Answer play_arrowquestion_answer83) The area of the region bounded by the parabola\[{{(y2)}^{2}}=x1,\]the tangent to the parabola at the point (2, 3) and the x-axis is
A) 3 done clear
B) 6 done clear
C) 9 done clear
D) 12 done clear
View Answer play_arrowquestion_answer84) Given\[P(x)={{x}^{4}}+a{{x}^{3}}+cx+d\]such that\[x=0\]is the only real root of\[P'(x)=0\]. If \[P(1)<P(1),\]then in the interval [-1, 1]. AIEEE Solved Paper-2009
A) P(-1) is the minimum and P(1) is the maximum of P done clear
B) P(-1) is not minimum but P(1) is the maximum of P done clear
C) P(-1) is the minimum but P(1) is not the maximum of P done clear
D) neither P(-1) is the minimum nor P(1) is the maximum of P done clear
View Answer play_arrowquestion_answer85) The shortest distance between the line \[yx=1\]and the curve\[x={{y}^{2}}\]is AIEEE Solved Paper-2009
A) \[\frac{3\sqrt{2}}{8}\] done clear
B) \[\frac{2\sqrt{3}}{8}\] done clear
C) \[\frac{3\sqrt{2}}{5}\] done clear
D) \[\frac{\sqrt{3}}{4}\] done clear
View Answer play_arrowquestion_answer86) Directions: Questions No. 86 are Assertion - Reason type questions. Each of these questions contains two statements: Statement-1 (Assertion) and Statement-2 (Reason). Each of these questions also have four alternative choices, only one of which is the correct answer. You have to select the correct choice. Let \[f(x)={{(x+1)}^{2}}1,\text{ }x\ge 1\] Statement - 1: The set\[\{x:f(x)={{f}^{-1}}(x)\}\] \[=\{0,\text{ }1\}\]. Statement - 2: f is a bijection. AIEEE Solved Paper-2009
A) Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for statement-1 done clear
B) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for statement-1. done clear
C) Statement-1 is true, statement-2 is false. done clear
D) Statement-1 is false, Statement-2 is true done clear
View Answer play_arrowquestion_answer87) Directions: Questions No. 87 are Assertion - Reason type questions. Each of these questions contains two statements: Statement-1 (Assertion) and Statement-2 (Reason). Each of these questions also have four alternative choices, only one of which is the correct answer. You have to select the correct choice. 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\[\frac{n(n+1)(2n+1)}{6}\] AIEEE Solved Paper-2009
A) Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for statement-1 done clear
B) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for statement-1. done clear
C) Statement-1 is true, statement-2 is false. done clear
D) Statement-1 is false, Statement-2 is true done clear
View Answer play_arrowquestion_answer88) Directions: Questions No. 88 are Assertion - Reason type questions. Each of these questions contains two statements: Statement-1 (Assertion) and Statement-2 (Reason). Each of these questions also have four alternative choices, only one of which is the correct answer. You have to select the correct choice. Statement 1:\[\tilde{\ }(p\leftrightarrow \tilde{\ }q)\]is equivalent to\[p\leftrightarrow q\] Statement 2:\[\tilde{\ }(p\leftrightarrow \tilde{\ }q)\]is a tautology AIEEE Solved Paper-2009
A) Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for statement-1 done clear
B) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for statement-1. done clear
C) Statement-1 is true, statement-2 is false. done clear
D) Statement-1 is false, Statement-2 is true done clear
View Answer play_arrowquestion_answer89) Directions: Questions No. 89 are Assertion - Reason type questions. Each of these questions contains two statements: Statement-1 (Assertion) and Statement-2 (Reason). Each of these questions also have four alternative choices, only one of which is the correct answer. You have to select the correct choice. Let A be a 2 × 2 matrix Statement 1: adj (adj A) = A Statement 2:\[|adj\text{ }A|=|A|\] AIEEE Solved Paper-2009
A) Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for statement-1 done clear
B) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for statement-1. done clear
C) Statement-1 is true, statement-2 is false. done clear
D) Statement-1 is false, Statement-2 is true done clear
View Answer play_arrowquestion_answer90) Directions: Questions No. 90 are Assertion - Reason type questions. Each of these questions contains two statements: Statement-1 (Assertion) and Statement-2 (Reason). Each of these questions also have four alternative choices, only one of which is the correct answer. You have to select the correct choice. Let\[f(x)=x|x|\]and\[g(x)=sinx\] 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) (a) Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for statement-1 done clear
B) (b) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for statement-1. done clear
C) (c) Statement-1 is true, statement-2 is false. done clear
D) (d) Statement-1 is false, Statement-2 is true done clear
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