Solved papers for NEET AIPMT SOLVED PAPER SCREENING 2009
done AIPMT SOLVED PAPER SCREENING 2009 Total Questions - 200
question_answer1) An explosion blows a rock into three parts. Two parts go off at right angles to each other. These two are, 1 kg first part moving with a velocity of 12\[=\frac{\sigma }{{{\varepsilon }_{0}}}\left( \frac{{{a}^{2}}}{c}-b+c \right)\frac{\sigma }{{{\varepsilon }_{0}}}(2a)\,(\because c=a+b)\]and 2 kg second part moving with a velocity of 8 \[{{V}_{C}}=\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{\sigma 4\pi {{a}^{2}}}{c}-\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{\sigma 4\pi {{b}^{2}}}{c}\]. If the third part flies off with a velocity of 4 \[+\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{\sigma 4\pi {{c}^{2}}}{c}\], its mass would be
question_answer2) A conducting circular loop is placed in a uniform magnetic field 0.04 T with its plane perpendicular to the magnetic field. The radius of the loop starts shrinking at 2 \[=\frac{\sigma }{{{\varepsilon }_{0}}}\left( \frac{{{a}^{2}}}{c}-\frac{{{b}^{2}}}{c}+c \right)=\frac{\sigma }{{{\varepsilon }_{0}}}(2a)\,(\because c=a+b)\]. The induced emf in the loop when the radius is 2 cm is
question_answer5) Three concentric spherical shells have radii a, b and c( a < b < c) and have surface charge densities \[\therefore \]and \[y=2\sin (7.85\times -1005t)\] respectively. If \[=(0.02)m\sin (7.85x-1005t)\] and \[v=\frac{dy}{dt}=A\omega \cos \omega t=A\omega \sqrt{1-{{\sin }^{2}}\omega t}\]denote the potentials of the three shells, then for c = a + b, we have
question_answer6) A bus is moving with a speed of 10 \[E=hv=h\frac{c}{\lambda }\] on a straight road. A scooterist wishes to overtake the bus in 100 s. If the bus is at a distance of 1 km from the scooterist, with what speed should the scooterist chase the bus ?
question_answer7) Under the influence of a uniform magnetic field, a charged particle moves with constant speed v in a circle of radius R. The time period of rotation of the particle
question_answer8) A wave in a string has an amplitude of 2 cm. The wave travels in the +ve direction of x axis with a speed of 128 \[=\frac{1}{2}m{{v}^{2}}-mgh\] and it is noted that 5 complete waves fit in 4 m length of the string. The equation describing the wave is
question_answer9) A simple pendulum performs simple harmonic motion about x = 0 with an amplitude \[a\] and time period T. The speed of the pendulum at \[\overrightarrow{\tau }=\overrightarrow{r}\times \overrightarrow{F}\]will be
question_answer11) A body of mass 1 kg is thrown upwards with a velocity 20 \[\overrightarrow{F}.\overrightarrow{\tau }=0\]. It momentarily comes to rest after attaining a height of 18 m. How much energy is lost due to air friction? \[\text{m}{{\text{s}}^{-1}}\]
question_answer13) If\[\text{m}{{\text{s}}^{-1}}\] is the force acting on a particle having position vector \[\text{m}{{\text{s}}^{-1}}\] and \[\text{mm}{{\text{s}}^{-1}}\] be the torque of this force about the origin, then
question_answer16) The number of beta particles emitted by a radioactive substance is twice the number of alpha particles emitted by it. The resulting daughter is an
question_answer17) A rectangular, a square, a circular and an elliptical loop, all in the (x-y) plane, are moving out of a uniform magnetic field with a constant velocity, \[\beta ,\gamma ,\alpha \]The magnetic field is directed along the negative z-axis direction. The induced emf, during the passage of these loops, out of the field region, will not remain constant for
question_answer18) A particle starts its motion from rest under the action of a constant force. If the distance covered in first 10 s is \[\alpha ,\beta ,\gamma \] and that covered in the first 20 s is\[\sigma ,-\sigma \], then
question_answer19) A wire of resistance \[{{V}_{C}}={{V}_{B}}\ne {{V}_{A}}\] is bent to form a complete circle of radius 10 cm. The resistance between its two diametrically opposite points, A and B as shown in the figure, is
question_answer20) The electric field part of an electromagnetic wave in a medium is represented by \[\text{40m}{{\text{s}}^{-1}}\] \[\text{25m}{{\text{s}}^{-1}}\] \[\text{10m}{{\text{s}}^{-1}}\]\[\text{m}{{\text{s}}^{-1}}\] The wave is
A)
moving along y direction with frequency \[2\pi \times \,{{10}^{6}}Hz\] and wavelength 200 m.
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B)
moving along x direction with frequency 106 Hz and wavelength 100 m
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C)
moving along x direction with frequency \[{{10}^{6}}Hz\] and wavelength 200 m
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D)
moving along - x direction with frequency \[{{10}^{6}}Hz\] and wavelength 200 m
question_answer21) A thin circular ring of mass M and radius R is rotating in a horizontal plane about an axis vertical to its plane with a constant angular velocity \[\omega \]. If two objects each of mass m be attached gently to the opposite ends of a diameter of the ring, the ring will then rotate with an angular velocity
question_answer22) A transistor is operated in common-emitter configuration at \[\frac{\pi a\sqrt{3}}{2T}\] volt such that a change in the base current from 100 \[\frac{\pi a}{T}\] to 200 \[\frac{3{{\pi }^{2}}a}{T}\]produces a change in the collector current from 5 mA to 10 mA. The current gain is
question_answer23) A black body at 227°C radiates heat at the rate of 7 cal \[\frac{\pi a\sqrt{3}}{T}\]. At a temperature of 727°C, the rate of heat radiated in the same units will be
question_answer24) A student measures the terminal potential difference (V) of a cell (of emf s and internal resistance r) as a function of the current (I) flowing through it. The slope and intercept of the graph between V and I, then respectively, equal
question_answer25) Two bodies of mass 1 kg and 3 kg have position vectors \[\overrightarrow{\tau }\]and \[\overrightarrow{r}.\overrightarrow{\tau }\ne 0\]respectively. The centre of mass of this system has a position vector
question_answer27) An engine pumps water continuously through a hose. Water leaves the hose with a velocity v and m is the mass per unit length of the water jet. What is the rate at which kinetic energy is imparted to water?
question_answer28) The driver of a car travelling with speed \[30m{{s}^{-2}}\] towards a hill sounds a horn of frequency 600 Hz. If the velocity of sound in air is \[4m{{s}^{-2}}\]tile-frequency of reflected sound as heard by driver is
question_answer29) In a Rutherford scattering experiment when a projectile of charge\[4m{{s}^{-2}}\]and mass\[14m{{s}^{-2}}\] approaches a target nucleus of charge \[\overrightarrow{v}=v\hat{i}.\] and mass \[{{s}_{1}}\]the distance of closest approach is \[{{s}_{2}}\]. The energy of the projectile is
A)
directly proportional to\[{{s}_{2}}=2{{s}_{1}}\]
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B)
directly proportional to \[{{s}_{2}}=3{{s}_{1}}\]
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C)
inversely proportional to \[{{s}_{2}}=4{{s}_{1}}\]
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D)
directly proportional to mass \[{{s}_{2}}={{s}_{1}}\]
question_answer30) Three capacitors each of capacitance C and of breakdown voltage V are joined in series. The [Capacitance and breakdown voltage of the combination will be
question_answer31) The magnetic force acting on a charged particle of charge \[6\,\Omega \]in a magnetic field of 2T acting in y direction, when the particle velocity is \[{{E}_{x}}=0;\] is
question_answer33) Monochromatic light of wavelength 667 nm is produced by a helium neon laser. The power emitted is 9 mW. The number of photons arriving per second on the average at a target irradiated by this beam is
question_answer34) The figure shows a plot of photo current versus anode potential for a photo sensitive surface for three different radiations. Which one of the following is a correct statement?
A)
Curves a and b represent incident radiations of different frequencies and different intensities
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B)
Curves a and b represent incident radiations of same frequency but of different intensities
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C)
Curves b and c represent incident radiations of different frequencies and different intensities
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D)
Curves b and c represent incident radiations of same frequency having same intensity
question_answer37) A bar magnet having a magnetic moment of \[-2\hat{i}+2\hat{k}\] is free to rotate in a horizontal plane. A horizontal magnetic field \[-2\hat{i}-\hat{j}+\hat{k}\] exists in the Space. The work done in taking the magnet slowly from a direction parallel to the field to a direction 60° from the field is
question_answer38) A galvanometer having a coil resistance of \[2\hat{i}-\hat{j}-2\hat{k}\]shows full scale deflection when a current of A passes through it. It can be converted into an ammeter to read currents up to 5.0 A by
A)
putting in parallel a resistance of\[\frac{1}{2}m{{v}^{3}}\]
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B)
putting in series a resistance of \[m{{v}^{3}}\]
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C)
putting in series a resistance of \[\frac{1}{2}m{{v}^{2}}\]
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D)
putting in parallel a resistance of\[\frac{1}{2}{{m}^{2}}{{v}^{2}}\]
question_answer39) The two ends of a rod of length L and a uniform cross-sectional area A are kept at two temperatures \[30m{{s}^{-1}}\]and\[330m{{s}^{-1}},\]The rate of heat transfer, \[{{Z}_{1}}\], through the rod in a steady state is given by
question_answer41) The mean free path of electrons in a metal is \[\frac{C}{3},\frac{V}{3}\]The electric field which can give on an average 2 eV energy to an electron in the metal will be in unit of \[3C,\frac{V}{3}\]
question_answer42) The number of photoelectrons emitted for light of a frequency v (higher than the threshold frequency \[=-{{k}_{0}}x+{{k}_{1}}{{x}^{2}}\] ) is proportional to
question_answer43) Each of the two strings of length 51.6 cm and 49.1 cm are tensioned separately by 20 N force. Mass per unit length of both the strings is same and equal to \[k,{{k}_{0}},{{k}_{1}}\]When both the strings vibrate simultaneously the number of beats is
question_answer44) The ionization energy of the electron in the hydrogen atom in its ground state is 13.6 eV atoms are excited to higher energy levels to emit radiations of 6 wavelengths. Maximum wavelength of emitted radiation corresponds to the transition between
question_answer45) Four identical thin rods each of mass M and length l, form a square frame. Moment of inertia of this frame about an axis through the centre of the square and perpendicular to its plane is
question_answer47) The figure shows elliptical orbit of a planet m about the sun S. The shaded area SCD is twice the shaded area SAB. If \[\frac{{{\varepsilon }^{2}}\sqrt{{{R}^{2}}+{{\left( L\omega -\frac{1}{C\omega } \right)}^{2}}}}{R}\] is the time for the planet to move from C to D and \[\frac{{{\varepsilon }^{2}}\left[ {{R}^{2}}+{{\left( L\omega -\frac{1}{C\omega } \right)}^{2}} \right]}{R}\] is the time to move from A to B, then
question_answer48) Sodium has body centred packing. Distance between two nearest atoms is \[3.7\,\overset{\text{o}}{\mathop{\text{A}}}\,\]. The lattice parameter is
question_answer49) A block of mass M is attached to the lower end of a vertical spring. The spring is hung from a ceiling and has force constant value k. The mass is released from rest with the spring initially un stretched. The maximum extension produced in the length of the spring will be
question_answer50) A body, under the action of a force \[\overrightarrow{E}=\hat{i}2xy+\hat{j}({{x}^{2}}+{{y}^{2}})+\hat{k}(3xz-{{y}^{2}})\]acquires an acceleration of \[1\,m{{s}^{-2}}\]. The mass of this body must be
question_answer53) From the following bond energies: H?H bond energy: 431.37 kJ \[\frac{dQ}{dt}\] C = O bond energy: 606.10 kJ\[\frac{dQ}{dt}=\frac{KL({{T}_{1}}-{{T}_{2}})}{A}\] C - C bond energy: 336.49 kJ\[\frac{dQ}{dt}=\frac{K({{T}_{1}}-{{T}_{2}})}{LA}\] C ? H bond energy: 410.50 kJ \[\frac{dQ}{dt}=KLA({{T}_{1}}-{{T}_{2}})\] Enthalpy for the reaction, \[\frac{dQ}{dt}=\frac{KA({{T}_{1}}-{{T}_{2}})}{L}\]will be
question_answer59) \[\frac{1}{3}M{{l}^{2}}\]is reduced by electrolysis at low potentials and high currents. If \[\text{p}{{\text{V}}^{}}\] A of current is passed through molten \[{{t}_{1}}\] for 6 h, what mass of aluminium is produced ? (Assume 100% current efficiency, at. mass of \[{{t}_{2}}\])
question_answer60) Trichloroacetaldehyde, \[\overrightarrow{F}=6\hat{i}-8\hat{j}+10\hat{k},\]reacts with chlorobenzene in presence of sulphuric acid and produces
question_answer65) For the reaction, \[RX+Mg\xrightarrow[{}]{{}}RMgX\]products, it is observed that (1) On doubling the initial concentration of A only, the rate of reaction is also doubled and. (2) On doubling the initial concentrations of both A and B, there is a change by a factor of 8 in the rate of the reaction. The rate of this reaction is, given by
question_answer69) The equivalent conductance of\[{{B}_{2}}{{O}_{3}}\] solution of a weak monobasic acid is \[8.0\,\,\text{mho}\,\text{c}{{\text{m}}^{2}}\] and at infinite dilution is \[400\,\,\text{mho}\,\,\text{c}{{\text{m}}^{2}}\]. The dissociation constant of this acid is
question_answer71) Oxidation numbers of P in \[A{{l}_{2}}{{O}_{3}}\]of S in \[4.5\times {{10}^{4}}\]and that of Cr in \[A{{l}_{2}}{{O}_{3}}\] are respectively,
question_answer75) For the reaction, \[(At.no.Zn=30,Sc=21,Ti=22,Cr=24)\]if \[{{[Sc{{({{H}_{2}}O)}_{3}}{{(N{{H}_{3}})}_{3}}]}^{3+}}\] mol \[{{[Ti{{(en)}_{2}}{{(N{{H}_{3}})}_{2}}]}^{4+}}\]the value of \[{{[Cr{{(N{{H}_{3}})}_{6}}]}^{2+}}\]would be
question_answer76) What is the \[0.0\times {{10}^{-2}}{{s}^{-1}}\]in the final solution prepared by mixing 20.0 mL of 0.050 M HCl with 30.0 mL of 0.10 M \[Phenol\xrightarrow[{}]{Zn\,dust}X\xrightarrow[Anhydrous\,AlC{{l}_{3}}]{C{{H}_{3}}Cl}Y\xrightarrow[{}]{\begin{smallmatrix} Alkaline \\ KMn{{O}_{4}} \end{smallmatrix}}Z,\]?
question_answer80) Lithium metal crystallises in a body centred cubic crystal. If the length of the side of the unit cell of lithium is 351 pm, the atomic radius of the lithium will be
question_answer84) The values of \[1.25\times {{10}^{-4}}\]and\[-C{{F}_{2}}-C{{F}_{2}}-{{)}_{n}}\]for the reaction, \[{{\left( -C{{H}_{2}}-\underset{\begin{smallmatrix} | \\ Cl \end{smallmatrix}}{\mathop{C}}\,=CH-C{{H}_{2}}-C{{H}_{2}}- \right)}_{n}}\]are 170 kJ and \[-{{[NH{{(C{{H}_{2}})}_{6}}NHCO{{(C{{H}_{2}})}_{4}}-CO-]}_{n}}\]respectively. This reaction will be spontaneous at
question_answer86) The dissociation constants for. acetic acid and HCN at 25°C are \[CH\equiv C-CH=C{{H}_{2}}\]and \[C{{u}^{2+}}+2{{e}^{-}}\xrightarrow[{}]{{}}Cu,\]respectively. The equilibrium constant for the equilibrium,\[{{E}^{o}}=0.337V\]\[C{{u}^{2+}}+{{e}^{-}}\xrightarrow[{}]{{}}C{{u}^{+}},\]would be
question_answer87) Nitrobenzene can be prepared from benzene by using a mixture of cone \[HN{{O}_{3}}\], and cone. \[{{L}^{-1}}{{s}^{-1}},\]In the mixture, nitric acid acts as a/an:
question_answer88) In the reaction, \[\frac{-d[{{H}_{2}}]}{dt}\] \[3\times {{10}^{4}}\,mol\,{{L}^{-1}}\,{{s}^{-1}}\] The rate of appearance of bromine \[4\times {{10}^{4}}\,mol\,{{L}^{-1}}\,{{s}^{-1}}\]) is related to rate of disappearance of bromide ions as following
question_answer89) In which of the following molecules/ions \[TiF_{6}^{2-},CoF_{6}^{3-},C{{u}_{2}}C{{l}_{2}}\]and \[NiCl_{4}^{2-}\]the central atom is sp2 hybridised ?
question_answer92) The energy absorbed by each molecule \[NiCl_{4}^{2-}\] of a substance is \[[Ne]3{{s}^{2}}3{{p}^{3}}\] and bond energy per molecule is \[[Ne]3{{s}^{2}}3{{p}^{3}}\]. The kinetic energy of the molecule per atom will be
question_answer95) Consider the following reaction, \[\underset{\begin{smallmatrix} \text{ }\!\!|\!\!\text{ } \\ \text{CHO} \end{smallmatrix}}{\mathop{\text{CHO}}}\,\] \[1.5\times {{10}^{-s}}\] the product Z, is
question_answer96) A 0.0020 m aqueous solution .of an ionic compound \[3.0\times {{10}^{-5}}\] freezes at 0.00732° C. Number of moles of ions which 1 mol of ionic compound produces on being dissolved in water will be \[3.0\times {{10}^{-4}}\]
question_answer98) Benzene reacts with \[{{H}_{2}}S{{O}_{4}},\] in the presence of anhydrous \[BrO_{3}^{-}(aq)+5B{{r}^{-}}(aq)+6{{H}^{+}}\xrightarrow[{}]{{}}\] to form
question_answer103) A health disorder that results from the deficiency of thyroxin in adults and characterized by (i) a low metabolic rate (ii) increase in body weight (iii) tendency to retain water in tissues is
question_answer113) When breast feeding is replaced by less nutritive food low in proteins and calories; the infants below the age of one year are likely to suffer from
question_answer121) In the case of peppered moth (Biston betularia) the black-coloured form became dominant over the light-coloured form in England during industrial revolution. This is an example of
A)
natural selection whereby the darker forms were selected
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B)
appearance of the darker coloured individuals due to very poor sunlight
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C)
protective mimicry
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D)
inheritance of darker colour character acquired due to the darker environment
question_answer131) In a standard ECG, which one of the following alphabets is the correct representation of the respective activity of the human heart?
question_answer145) Given below is a schematic break-up of the phases/stages of cell cycle Which one of the following is the correct indication of the stage/phase in the cell cycle?
question_answer163) Given below is a diagrammatic sketch of a portion of human male reproductive system. Select the correct set of the names of the parts labelled A, B, C, D.
A)
A B C D Ureter Prostate Seminal vesicle Bulbourethral gland
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B)
Vas deferens Seminal vesicle Prostate Bulbourethral gland
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C)
Vas deferens Seminal vesicle Bulbourethral gland Prostate
question_answer167) A country with a high rate of population growth took measures to reduce it. The figure below shows age sex pyramids of populations. A and B twenty years apart. Select the correct interpretation about them Interpretations
A)
'A' is more recent and shows slight reduction in the growth rate
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B)
'B' is earlier pyramid and shows stabilized growth rate
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C)
'B' is more recent showing that population is very young
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D)
'A' is the earlier pyramid and no change has occurred in the growth rate.
question_answer191) A young infant may be feeding entirely on mother's milk, which is white in colour but the stools, which the infant passes out is quite yellowish. What is this yellow colour due to?