question_answer2) A projectile is fired from the surface of the earth with a velocity of 5 \[m{{s}^{-1}}\] and angle \[\theta \]with the horizontal. Another projectile fired from another planet with a velocity of 3 \[m{{s}^{-1}}\] at the same angle follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet is (in\[m{{s}^{-2}}\]) is (given, \[g=9.8\,m{{s}^{-2}}\]) [AIPMT 2014]
question_answer3) A particle is moving such that its position coordinates (x, y) are (2m, 3m) at time t = 0, (6m, 7m) at time t = 2 s and (13m, 14m) at time t = 5 s. Average velocity vector (\[{{\upsilon }_{a\upsilon }}\]) from t = 0 to t = 5 s is [AIPMT 2014]
question_answer4) A system consists of three masses \[{{m}_{1}},{{m}_{2}}\] and \[{{m}_{3}}\] connected by a string passing over a pulley P. The mass \[{{m}_{1}}\] hangs freely and \[{{m}_{2}}\] and \[{{m}_{3}}\] are on a rough horizontal table (the coefficient of friction =\[\mu \]). The pulley is frictionless and of negligible mass. The downward acceleration of mass \[{{m}_{1}}\] is (Assume, \[{{m}_{1}}={{m}_{2}}={{m}_{3}}=m\]) [AIPMT 2014]
question_answer5) The force F acting on a particle of mass m is indicated by the force-time graph shown below. The change in momentum of the particle over the time interval from zero to 8 s is [AIPMT 2014]
question_answer6) A balloon with mass m is descending down with an acceleration a (where a < g). How much mass should be removed from it so that it starts moving up with an acceleration a? [AIPMT 2014]
question_answer7) A body of mass (4w) is lying in \[xy\]-plane at rest. It suddenly explodes into three pieces. Two pieces each of mass (m) move perpendicular to each other with equal speeds\[(\upsilon )\]. The total kinetic energy generated due to explosion is [AIPMT 2014]
question_answer8) The oscillation of a body on a smooth horizontal surface is represented by the equation, \[X=A\cos (\omega t)\] where X = displacement at time t, \[\omega \] = frequency of oscillation. Which one of the following graphs shows correctly the variation a with t? Note:- Here, a = acceleration at time t, T = time period [AIPMT 2014]
question_answer9) A solid cylinder of mass 50 kg and radius 0.5 m is free to rotate about the horizontal axis. A massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an angular acceleration of \[2\,\,rev/{{s}^{2}}\] is [AIPMT 2014]
question_answer10) The ratio of the accelerations for a solid sphere (mass m and radius R) rolling down an incline of angle \[\theta \] without slipping and slipping down the incline without rolling is [AIPMT 2014]
question_answer11) A black hole is an object whose gravitational field is so strong that even light cannot escape from it. To what approximate radius would earth (mass = \[5.98\times {{10}^{24}}kg\] kg) have to be compressed to be a black hole? [AIPMT 2014]
question_answer12) Dsependence of intensity of gravitational field (E) of earth with distance (r) from centre of earth is correctly represented by [AIPMT 2014]
question_answer13) Copper of fixed volume Vis drawn into wire of length\[l\]. When this wire is subjected to a constant force F, the extension produced in the wire is\[\Delta l\]. Which of the following graphs is a straight line? [AIPMT 2014]
question_answer14) A certain number of spherical drops of a liquid of radius r coalesce to form a single drop of radius R and volume V. If T is the surface tension of the liquid, then [AIPMT 2014]
A)
Energy = \[4VT\left( \frac{1}{r}-\frac{1}{R} \right)\] is released
doneclear
B)
Energy = \[3VT\left( \frac{1}{r}+\frac{1}{R} \right)\] absorbed
doneclear
C)
Energy = \[3VT\left( \frac{1}{r}-\frac{1}{R} \right)\] is released
question_answer15) Steam at \[{{100}^{o}}C\] is passed into 20 g of water at\[{{10}^{o}}C\]. When water acquires a temperature of\[{{80}^{o}}C\], the mass of water present will be [Take specific heat of water = \[1\,cal{{g}^{-1}}{{\,}^{{}^\circ }}{{C}^{-1}}\] and latent heat of steam\[=540cal{{g}^{-1}}]\] [AIPMT 2014]
question_answer16) Certain quantity of water cools from \[{{70}^{o}}C\] to \[{{60}^{o}}C\] in the first 5 min and to \[{{54}^{o}}C\] in the next 5 min. The temperature of the surroundings is [AIPMT 2014]
question_answer17) A monoatomic gas at a pressure p, having a volume V expands isothermally to a volume 2 V and then adiabatically to a volume 16 V. The final pressure of the gas is (take \[\gamma =\frac{5}{3}\]) [AIPMT 2014]
question_answer20) If \[{{n}_{1}},{{n}_{2}}\] and \[{{n}_{3}}\] are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency n of the string is given by [AIPMT 2014]
question_answer21) The number of possible natural oscillations of air column in a pipe closed at one end of length 85 cm whose frequencies lie below 1250 Hz are (velocity of sound = 340 \[m{{s}^{-1}}\]) [AIPMT 2014]
question_answer22) A speeding motorcyclist sees traffic jam ahead of him. He slows down to 36 km/h. He finds that traffic has eased and a car moving head of him at 18 km/h is honking at a frequency of 1392 Hz. If the speed of sound is 343 m/s, the frequency of the honk as heard by him will be [AIPMT 2014]
question_answer23) Two thin dielectric slabs of dielectric constants \[{{K}_{1}}\] and \[{{K}_{2}}({{K}_{1}}<{{K}_{2}})\] are inserted between plates of a parallel plate capacitor, as shown in the figure. The variation of electric field E between the plates with distance d as measured from plate P is correctly shown by [AIPMT 2014]
question_answer24) A conducting sphere of radius R is given a charge Q. The electric potential and the electric field at the centre of the sphere respectively are [AIPMT 2014]
A)
zero and \[\frac{Q}{4\pi {{\varepsilon }_{0}}{{R}^{2}}}\]
doneclear
B)
\[\frac{Q}{4\pi {{\varepsilon }_{0}}R}\] and zero .
doneclear
C)
\[\frac{Q}{4\pi {{\varepsilon }_{0}}R}\] and \[\frac{Q}{4\pi {{\varepsilon }_{0}}{{R}^{2}}}\]
question_answer25) In a region, the potential is represented by V (x, v, z) = 6x - 8xy - 8y + 6yz, where V is in volts and x, y, z are in metres. The electric force experienced by a charge of 2 coulomb situated at point (1, 1, 1) is [AIPMT 2014]
question_answer26) Two cities are 150 km apart. Electric power is sent from one city to another city through copper wires. The fall of potential per km is 8 V and the average resistance per km is 0.5\[\Omega \]. The power loss in the wire is [AIPMT 2014]
question_answer27) The resistances in the two arms of the meter bridge are 5 \[\Omega \] and R\[\Omega \], respectively. When the resistance R is shunted with an equal resistance, the new balance point is at 1.6\[{{l}_{1}}\] . The resistance R, is [AIPMT 2014]
question_answer28) A potentiometer circuit has been set up for finding the internal resistance of a given cell. The main battery, used across the potentiometer wire, has an emf of 2.0 V and a negligible internal resistance. The potentiometer wire itself is 4 m long. When the resistance, R, connected across the given cell, has values of (i) infinity, (ii) \[9.5\Omega \] the 'balancing lengths', on the potentiometer wire are found to be 3 m and 2.85 m, respectively. The value of internal resistance of the cell is [AIPMT 2014]
question_answer29) Following figures show the arrangement of bar magnets in different configurations. Each magnet has magnetic dipole moment m. Which configuration has highest net magnetic dipole moment? [AIPMT 2014]
question_answer30) In an ammeter 0.2% of main current passes through the galvanometer. If resistance of galvanometer is G, the resistance of ammeter will be [AIPMT 2014]
question_answer31) Two identical long conducting wires AOB and COD are placed at right angle to each other, with one above other such that O is their common point for the two. The wires carry \[{{I}_{1}}\] and \[{{I}_{2}}\] currents, respectively. Point P is lying at distance d from O along a direction perpendicular to the plane containing the wires. The magnetic field at the point P will be [AIPMT 2014]
question_answer32) A thin semicircular conducting ring (PQR) of radius r is falling with its plane vertical in a horizontal magnetic field B, as shown in figure. The potential difference developed across the ring when its speed is u, is [AIPMT 2014]
A)
zero
doneclear
B)
\[Bv\pi {{r}^{2}}/2\]. and P is at higher potential
question_answer33) A transformer having efficiency of 90% is working on 200 V and 3 kW power supply. If the current in the secondary coil is 6 A, the voltage across the secondary coil and the current in the primary coil respectively are [AIPMT 2014]
question_answer34) Light with an energy flux of \[25\times {{10}^{4}}W{{m}^{-2}}\] falls on a perfectly reflecting surface at normal incidence. If the surface area is 15\[c{{m}^{2}}\], the average force exerted on the surface is [AIPMT 2014]
question_answer35) A beam of light of \[\lambda \] = 600 nm from a distant source falls on a single slit 1 mm wide and the resulting diffraction pattern is observed on a screen 2 m away. The distance between first dark fringes on either side of the central bright fringe is [AIPMT 2014]
question_answer36) In the Young's double-slit experiment, the intensity of light at a point on the screen (where the path difference is\[\lambda \]) is K, (\[\lambda \] being the wavelength of light used). The intensity at a point where the path difference is \[\lambda \], / 4, will be [AIPMT 2014]
question_answer38) The angle of a prism is A. One of its refracting surfaces is silvered. Light rays falling at an angle of incidence 2 A on the first surface returns back through the same path after suffering reflection at the silvered surface. The refractive index \[\mu \], of the prism is [AIPMT 2014]
question_answer39) When the energy of the incident radiation is increased by 20%, the kinetic energy of the photoelectrons emitted from a metal surface increased from 0.5 eV to 0.8 eV. 'The work function of the metal is [AIPMT 2014]
question_answer40) If the kinetic energy of the particle is increased to 16 times its previous value, the percentage change in the de-Broglie wavelength of the particle is [AIPMT 2014]
question_answer41) Hydrogen atom in ground state is excited by a monochromatic radiation of\[\lambda =975\overset{o}{\mathop{A}}\,\]. Number of spectral lines in the resulting spectrum emitted will be [AIPMT 2014]
question_answer42) The binding energy per nucleon of \[_{3}^{7}Li\] and \[_{2}^{4}He\] nuclei are 5.60 MeV and 7.06 MeV, respectively. In the nuclear reaction \[_{3}^{7}Li+_{1}^{1}H\to _{2}^{4}He+_{2}^{4}He+Q\], the value of energy Q released is [AIPMT 2014]
question_answer43) A radio isotope X with a half-life \[1.4\times {{10}^{9}}\]yr decays of Y which is stable. A sample of the rock from a cave was found to contain X and Y in the ratio 1 : 7. The age of the rock is [AIPMT 2014]
question_answer44) The given graph represents \[V.I\] characteristic for a semiconductor device. [AIPMT 2014] Which of the following statement is correct?
A)
It is V-I characteristic for solar cell where point A represents open circuit voltage and point B short circuit current
doneclear
B)
It is for a solar cell and points A and B represent open circuit voltage and current, respectively
doneclear
C)
It is for a photodiode and points A and B represent open circuit voltage and current, respectively
doneclear
D)
It is for a LED and points A and B represents open circuit voltage and short circuit current respectively
question_answer46) What is the maximum number of orbitals that can be identified with the following quantum numbers? \[n=3,l=1,{{m}_{l}}=0\] [AIPMT 2014]
question_answer47) Calculate the energy in joule corresponding to light of wavelength 45 nm : (Planck's constant \[h=6.63\times {{10}^{-34}}\] Js; speed of light \[c=3\times {{10}^{8}}m{{s}^{-1}})\] [AIPMT 2014]
question_answer48) Equal masses of \[{{H}_{2}},{{O}_{2}}\], and methane have been taken in a container of volume V at temperature \[27{}^\circ C\] in identical conditions. The ratio of the volumes of gases \[{{H}_{2}}:{{O}_{2}}:C{{H}_{4}}\]would be [AIPMT 2014]
question_answer49) If a is the length of the side of a cube, the distance between the body centered atom and one corner atom in the cube will be [AIPMT 2014]
question_answer53) When 22.4 L of \[{{H}_{2}}(g)\] is mixed with 11.2 L of \[C{{l}_{2}}\] each at STP, the moles of \[HCl(g)\] formed is equal to [AIPMT 2014]
question_answer54) When \[0.1\text{mol}\,\text{MnO}_{4}^{2-}\] is oxidised, the quantity of electricity required to completely oxidise \[MnO_{4}^{2-}\] is \[MnO_{4}^{-}\] [AIPMT 2014]
question_answer55) Using the Gibbs energy change \[\Delta {{G}^{{}^\circ }}=+63.3kJ\] for the following reaction, \[A{{g}_{2}}C{{O}_{3}}(s)r\,2A{{g}^{+}}(aq)+CO_{3}^{2-}(aq)\] the \[{{K}_{sp}}\] of \[A{{g}_{2}}C{{O}_{3}}(s)\]in water at \[{{25}^{o}}C\] is \[(R=8.314J{{K}^{-1}}mo{{l}^{-1}})\][AIPMT 2014]
question_answer56) The weight of silver (at. wt. = 108) displaced by a quantity of electricity which displaces 5600 mL of \[{{O}_{2}}\] at STP will be [AIPMT 2014]
question_answer58) For the reversible reaction, \[{{N}_{2}}(g)+3{{H}_{2}}(g)\rightleftharpoons 2N{{H}_{3}}(g)+Heat\] the equilibrium shifts in forward direction [AIPMT 2014]
A)
by increasing the concentration of \[N{{H}_{3}}(g)\]
doneclear
B)
by decreasing the pressure
doneclear
C)
by decreasing the concentrations of \[{{N}_{2}}(g)\] and \[{{H}_{2}}(g)\]
question_answer59) For the reaction, \[{{X}_{2}}{{O}_{4}}(l)\to 2X{{O}_{2}}(g)\] \[\Delta U=2.1kcal,\Delta S=20cal\,{{K}^{-1}}\]at\[300K.\]Hence, \[\Delta G\] is [AIPMT 2014]
question_answer60) For a given exothermic reaction, \[{{K}_{p}}\] and \[K_{p}^{'}\] are the equilibrium constants at temperatures \[{{T}_{1}}\] and\[{{T}_{2}}\], respectively. Assuming that heat of reaction is constant in 'temperature range between \[{{T}_{1}}\] and \[{{T}_{2}}\], it is readily observed that [AIPMT 2014]
question_answer62) 1.0 g of magnesium is burnt with 0.56 g \[{{O}_{2}}\] in a closed verssel. Which reactant is left in excess and how much? \[(At.wt.Mg=24;O=16)\] [AIPMT 2014]
question_answer70) In acidic medium, \[{{H}_{2}}{{O}_{2}}\] changes \[C{{r}_{2}}O_{7}^{2-}\] to \[Cr{{O}_{5}}\] which has two (-O-O-) bonds. Oxidation state of Cr in \[Cr{{O}_{5}}\] is [AIPMT 2014]
question_answer79) Which of the following hormones is produced under the condition of stress which stimulates glycogenolysis in the liver of human beings? [AIPMT 2014]
question_answer83) In the Kjeldahl?s method for estimation of nitrogen present in a soil sample, ammonia evolved from 0.75 g of sample neutralised 10 mL of 1 M\[{{H}_{2}}S{{O}_{4}}\]. The percentage of nitrogen in the soil is [AIPMT 2014]
question_answer84) What products are formed when the following compound is treated with \[B{{r}_{2}}\] in the presence of\[FeB{{r}_{3}}\]? [AIPMT 2014]
question_answer89) Identity Z in the sequence of reactions, [AIPMT 2014] \[C{{H}_{3}}C{{H}_{2}}CH=C{{H}_{2}}\xrightarrow{HBr/{{H}_{2}}{{O}_{2}}}Y\] \[\xrightarrow{{{C}_{2}}{{H}_{5}}ONa}Z\]
question_answer99) You are given a fairly old piece of dicot stem and a dicot root. Which of the following anatomical structures will you use to distinguish between the two? [AIPMT 2014]
question_answer106) During which phase(s) of cell cycle, amount of DNA in a cell remains at 4C level if the initial amount is denoted as 2C? [AIPMT 2014]
question_answer108) Dr. F Went noted that if coleoptile tips were removed and placed on agar for one hour, the agar would produce a bending when placed on one side of freshly cut coleoptile stumps. Of what significance is this experiment? [AIPMT 2014]
A)
It made possible the isolation and exact identification of auxin
doneclear
B)
It is the basis for quantitative determination of small amounts of growth-promoting substances
question_answer112) A few normal seedlings of tomato were kept in a dark room. After a few days they were found to have become white-coloured like albinos. Which of the following terms will you use to describe them? [AIPMT 2014]
question_answer165) A man whose father was colourblind marries a woman, who had a colourblind mother and normal father. What percentage of male children of this couple will be colourblind? [AIPMT 2014]
question_answer166) In a population of 1000 individuals 360 belongs to genotype AA, 480 to Aa and the remaining 160 to aa. Based on this data, the frequency of allele A in the population is [AIPMT 2014]
question_answer170) Forelimbs of cat, lizard used in walking; forelimbs of whale used in swimming and forelimbs of bats used in flying are an example of [AIPMT 2014]
question_answer174) To obtain virus-free healthy plants from a diseased one by tissue culture technique, which part/parts of the diseased plant will be taken? [AIPMT 2014]
question_answer176) Just as a person moving from Delhi to Shimla to escape the heat for the duration of hot summer, thousands of migratory birds from Siberia and other extremely cold Northern regions move to [AIPMT 2014]
question_answer177) Given below is a simplified model of phosphorus cycling in a terrestrial ecosystem with four blanks (A-D). Identify the blanks. [AIPMT 2014]
A)
A- Rock Mineral B- Detritus C- Litter fall D- Producers
doneclear
B)
A- Litter fall B- Producers C- Rock minerals D- Detritus
doneclear
C)
A- Detritus B- Rock Minerals C- Producer D- Litter fall
doneclear
D)
A- Producers B- Litter C- Rock minerals D- Detritus
question_answer178) Given below is the representation of the extent of global diversity of invertebrates. What groups the four portions represent respectively? [AIPMT 2014]
A)
A- lnsects, B- Crustaceans , C- Other animal Groups , D- Molluscs
doneclear
B)
A- Crustacean , B- lnsects , C- Molluscs , D- Other animal groups
doneclear
C)
A- Molluscss, B- Other animal groups, C- Crustaceans, D- lnsects
doneclear
D)
A- lnsects, B- Molluscs, C- Crustaceans, D- Other animal groups
question_answer180) If 20 J of energy is trapped at producer level, then how much energy will be available to peacock as food in the following chain? Plant ® Mice ® Snake ® Peacock [AIPMT 2014]