AIPMT NEET 2014 Mock Test

If force ($F$), velocity ($V$) and time ($T$) are taken as fundamental units, then the dimensions of mass are:

A projectile is fired from the surface of the earth with a velocity of $5\text{m/s}$ and angle $\theta$ with the horizontal. Another projectile fired from another planet with a velocity of $3\text{m/s}$ 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 ${\text{m/s}}^2$): (given $g=9.8{\text{m/s}}^2$)

A particle is moving such that its position coordinates $(x,y)$ are $(2\text{m},3\text{m})$ at time $t=0$, $(6\text{m},7\text{m})$ at time $t=2\text{s}$ and $(13\text{m},14\text{m})$ at time $t=5\text{s}$. Average velocity vector $({\vec{V}}_{av})$ from $t=0$ to $t=5\text{s}$ is:

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 $m_1=m_2=m_3=m$)

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 $8\text{s}$ is:

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’?

A body of mass ($4m$) is lying in $x-y$ plane at rest. It suddenly explodes into three pieces. Two pieces, each of mass ($m$) move perpendicular to each other with equal speeds ($v$). The total kinetic energy generated due to explosion is:

The oscillation of a body on a smooth horizontal surface is represented by the equation $X=A\cos (\omega t)$. Which one of the following graphs shows correctly the variation of acceleration $a$ with $t$?

A solid cylinder of mass $50\text{kg}$ and radius $0.5\text{m}$ 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 $2{\text{revolutions/s}}^2$ is:

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:

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 = $5.98\times 10^{24}\text{kg}$) have to be compressed to be a black hole?

Dependence of intensity of gravitational field ($E$) of earth with distance ($r$) from centre of earth is correctly represented by:

Copper of fixed volume ‘V’ is 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?

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:

Steam at $100^{\circ }\text{C}$ is passed into $20\text{g}$ of water at $10^{\circ }\text{C}$. When water acquires a temperature of $80^{\circ }\text{C}$, the mass of water present will be: [Take specific heat of water $=1{\text{cal g}}^{-1}{}^{\circ }{\text{C}}^{-1}$ and latent heat of steam $=540{\text{cal g}}^{-1}$ ]

Certain quantity of water cools from $70^{\circ }\text{C}$ to $60^{\circ }\text{C}$ in the first $5\text{minutes}$ and $60^{\circ }\text{C}$ to $54^{\circ }\text{C}$ in the next $5\text{minutes}$. The temperature of the surroundings is:

A monoatomic gas at a pressure $P$, having a volume $V$ expands isothermally to a volume $2V$ and then adiabatically to a volume $16V$. The final pressure of the gas is: (take $\gamma =5/3$)

A thermodynamic system undergoes cyclic process $ABCDA$ as shown in figure. The work done by the system in the cycle is:[Image shows a figure of two identical triangles meeting at a point, forming an 8-shape. Loop 1 is clockwise, Loop 2 is anti-clockwise.]

The mean free path of molecules of a gas, (radius ‘r’) is inversely proportional to:

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:

The number of possible natural oscillations of air column in a pipe closed at one end of length $85\text{cm}$ whose frequencies lie below $1250\text{Hz}$ are: (velocity of sound $=340{\text{ms}}^{-1}$)

A speeding motorcyclist sees traffic jam ahead of him. He slows down to $36\text{km/hour}$. He finds that traffic has eased and a car moving ahead of him at $18\text{km/hour}$ is honking at a frequency of $1392\text{Hz}$. If the speed of sound is $343\text{m/s}$, the frequency of the honk as heard by him will be:

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. The variation of electric field '$E$ ' between the plates with distance '$d$ ' as measured from plate $P$ is correctly shown by:

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:

In a region the potential is represented by $V(x,y,z)=6x-8xy-8y+6yz$, where $V$ is in volts and $x,y,z$ are in meters. The electric force experienced by a charge of $2\text{coulomb}$ situated at point $(1,1,1)$ is:

Two cities are $150\text{km}$ apart. Electric power is sent from one city to another city through copper wires. The fall of potential per $\text{km}$ is $8\text{volt}$ and the average resistance per $\text{km}$ is $0.5\Omega$. The power loss in the wire is:

The resistance 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 $1.6l_1$. The resistance '$R$ ', is:

A potentiometer circuit has been set up for finding the internal resistance of a given cell. When the resistance, $R$, connected across the given cell, has values of (i) infinity and (ii) $9.5\Omega$, the 'balancing lengths' are found to be $3\text{m}$ and $2.85\text{m}$, respectively. The value of internal resistance of the cell is:

Following figures show the arrangement of bar magnets in different configurations. Each magnet has magnetic dipole moment $\vec{m}$. Which configuration has highest net magnetic dipole moment?

In an ammeter $0.2\%$ of main current passes through the galvanometer. If resistance of galvanometer is $G$, the resistance of ammeter will be:

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. 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 point '$P$ ' will be:

A thin semicircular conducting ring ($PQR$) of radius '$r$ ' is falling with its plane vertical in a horizontal magnetic field $B$. The potential difference developed across the ring when its speed is $v$, is:

A transformer having efficiency of $90\%$ is working on $200\text{V}$ and $3\text{kW}$ power supply. If the current in the secondary coil is $6\text{A}$, the voltage across the secondary coil and the current in the primary coil respectively are:

Light with an energy flux of $25\times 10^4{\text{Wm}}^{-2}$ falls on a perfectly reflecting surface at normal incidence. If the surface area is $15{\text{cm}}^2$, the average force exerted on the surface is:

A beam of light of $\lambda =600\text{nm}$ from a distant source falls on a single slit $1\text{mm}$ wide and the resulting diffraction pattern is observed on a screen $2\text{m}$ away. The distance between first dark fringes on either side of the central bright fringe is:

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 wave length of light used). The intensity at a point where the path difference is $\lambda /4$, will be:

If the focal length of objective lens is increased then magnifying power of:

The angle of a prism is 'A'. One of its refracting surfaces is silvered. Light rays falling at an angle of incidence $2A$ 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:

When the energy of the incident radiation is increased by $20\%$, the kinetic energy of the photoelectrons emitted from a metal surface increased from $0.5\text{eV}$ to $0.8\text{eV}$. The work function of the metal is:

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:

Hydrogen atom in ground state is excited by a monochromatic radiation of $\lambda =975\text{A˚}$. Number of spectral lines in the resulting spectrum emitted will be:

The Binding energy per nucleon of ${}_3^7\text{Li}$ and ${}_2^4\text{He}$ nuclei are $5.60\text{MeV}$ and $7.06\text{MeV}$, respectively. In the nuclear reaction ${}_3^7\text{Li}{+}_1^1\text{H}\to 2_2^4\text{He}+Q$, the value of energy $Q$ released is:

A radio isotope 'X' with a half life $1.4\times 10^9\text{years}$ decays to '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:

The given graph represents V-I characteristic for a semiconductor device. Which of the following statement is correct?

The barrier potential of a p-n junction depends on: (a) type of semiconductor material (b) amount of doping (c) temperature. Which one of the following is correct?

What is the maximum number of orbitals that can be identified with the following quantum numbers $n=3,l=1,m_l=0$?

Calculate the energy in joule corresponding to light of wavelength $45\text{nm}$: (Planck constant $h=6.63\times 10^{-34}\text{Js}$, speed of light $c=3\times 10^8{\text{ms}}^{-1}$)

Equal masses of ${\text{H}}_2,{\text{O}}_2$ and methane have been taken in a container of volume $V$ at temperature $27^{\circ }\text{C}$ in identical conditions. The ratio of the volumes of gases ${\text{H}}_2:{\text{O}}_2:\text{methane}$ would be:

If $a$ is the length of the side of a cube, the distance between the body centred atom and one corner atom in the cube will be:

Which property of colloids is not dependent on the charge on colloidal particles?

Which of the following salts will give highest $pH$ in water?

Of the following $0.10\text{m}$ aqueous solutions, which one will exhibit the largest freezing point depression?

When $22.4\text{litres}$ of ${\text{H}}_2(g)$ is mixed with $11.2\text{litres}$ of ${\text{Cl}}_2(g)$, each at S.T.P., the moles of $\text{HCl}(g)$ formed is equal to:

When $0.1\text{mol}$ ${\text{MnO}}_4^{2-}$ is oxidized, the quantity of electricity required to completely oxidize ${\text{MnO}}_4^{2-}$ to ${\text{MnO}}_4^{-}$ is:

Using the Gibbs energy change, $\Delta G^{\circ }=+63.3\text{kJ}$, for the reaction:
$${\text{Ag}}_2{\text{CO}}_3(s)\rightleftharpoons 2{\text{Ag}}^{+}(aq)+{\text{CO}}_3^{2-}(aq)$$
The $K_{sp}$ of ${\text{Ag}}_2{\text{CO}}_3(s)$ in water at $25^{\circ }\text{C}$ is: ($R=8.314{\text{J K}}^{-1}{\text{mol}}^{-1}$)

The weight of silver (at. wt. $=108$) displaced by a quantity of electricity which displaces $5600\text{mL}$ of ${\text{O}}_2$ at STP will be:

Which of the following statements is correct for the spontaneous adsorption of a gas?

For the reversible reaction: ${\text{N}}_2(g)+3{\text{H}}_2(g)\rightleftharpoons 2{\text{NH}}_3(g)+\text{heat}$, the equilibrium shifts in the forward direction:

For the reaction ${\text{X}}_2{\text{O}}_4(l)\to 2{\text{XO}}_2(g)$, $\Delta U=2.1\text{k cal}$ and $\Delta S=20{\text{cal K}}^{-1}$ at $300\text{K}$. Hence, $\Delta G$ is:

For a given exothermic reaction, $K_P$ and $K_P^{\prime }$ are the equilibrium constants at temperatures $T_1$ and $T_2$, respectively. Assuming that the heat of reaction is constant in the temperature range between $T_1$ and $T_2$, and $T_2>T_1$, it is observed that:

Which of the following orders of ionic radii is correctly represented?

$1.0\text{g}$ of magnesium is burnt with $0.56\text{g}$ ${\text{O}}_2$ in a closed vessel. Which reactant is left in excess and by how much? (At. wt. $\text{Mg}=24;\text{O}=16$)

The pair of compounds that can exist together is:

${\text{Be}}^{2+}$ is isoelectronic with which of the following ions?

Which of the following molecules has the maximum dipole moment?

Which one of the following species has plane triangular shape?

Acidity of diprotic acids in aqueous solutions increases in the order:

(a) ${\text{H}}_2{\text{O}}_2+{\text{O}}_3\to {\text{H}}_2\text{O}+2{\text{O}}_2$ (b) ${\text{H}}_2{\text{O}}_2+{\text{Ag}}_2\text{O}\to 2\text{Ag}+{\text{H}}_2\text{O}+{\text{O}}_2$ The role of hydrogen peroxide in the above reactions is respectively:

Artificial sweetener which is stable under cold conditions only is:

In acidic medium, ${\text{H}}_2{\text{O}}_2$ changes ${\text{Cr}}_2{\text{O}}_7^{2-}$ to ${\text{CrO}}_5$ which has two $(–\text{O}–\text{O}–)$ bonds. The oxidation state of $\text{Cr}$ in ${\text{CrO}}_5$ is:

The reaction of aqueous ${\text{KMnO}}_4$ with ${\text{H}}_2{\text{O}}_2$ in acidic conditions gives:

Among the following complexes, the one which shows Zero crystal field stabilisation energy (CFSE) is:

Magnetic moment $2.83\text{BM}$ is given by which of the following ions? (At. no. $\text{Ti}=22,\text{Cr}=24,\text{Mn}=25,\text{Ni}=28$)

Which of the following complexes is used as an anticancer agent?

The reason for lanthanoid contraction is:

In the following reaction, the product (A) is:

Which of the following will be the most stable diazonium salt $R{N}_2^{+}{X}^{-}$?

$D(+)$ glucose reacts with hydroxyl amine and yields an oxime. The structure of the oxime would be:

Which of the following hormones is produced under conditions of stress and stimulates glycogenolysis in the liver?

Which one of the following is an example of a thermosetting polymer?

Which organic compounds polymerize to form the polyester Dacron?

Which one of the following is not a common component of Photochemical Smog?

In the Kjeldahl's method for estimation of nitrogen, ammonia evolved from $0.75\text{g}$ of a soil sample neutralized $10\text{mL}$ of $1\text{M}$ ${\text{H}}_2{\text{SO}}_4$. The percentage of nitrogen in the soil is:

What products are formed when m-xylene is treated with ${\text{Br}}_2$ in the presence of ${\text{FeBr}}_3$?

Which of the following compounds will undergo racemisation when a solution of $\text{KOH}$ hydrolyses them?

Among the following sets of reactants, which one produces anisole?

Which of the following will not be soluble in sodium hydrogen carbonate (${\text{NaHCO}}_3$)?

Which one is most reactive towards Nucleophilic addition reaction?

Identify Z in the sequence of reactions:$\text{But-1-ene}\stackrel{HBr/H_2{O}_2}{\to }Y\stackrel{C_2{H}_{5}ONa}{\to }Z$

Which of the following organic compounds has the same hybridization as its combustion product (${\text{CO}}_2$)?

Which one of the following shows isogamy with non-flagellated gametes?

The Five Kingdom system of classification suggested by R.H. Whittaker is not based on:

Which one of the following fungi contains hallucinogens?

Archaebacteria differ from eubacteria in:

Which one of the following is wrong about Chara?

Which of the following is responsible for peat formation?

Placenta and pericarp are both edible portions in:

When the margins of sepals or petals overlap one another without any particular direction, the condition is termed as:

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 them?

Which one of the following statements is correct?

Tracheids differ from other tracheary elements (vessels) in:

An example of an edible underground stem is:

Which structures perform the function of mitochondria in bacteria?

The solid linear cytoskeletal elements having a diameter of $6\text{nm}$ and made up of a single type of monomer are known as:

The osmotic expansion of a cell kept in water is chiefly regulated by:

During which phase(s) of the cell cycle does the amount of DNA in a cell remain at $4\text{C}$ level if the initial amount is denoted as $2\text{C}$?

Match the following and select the correct answer:(a) Centriole — (i) Infoldings in mitochondria(b) Chlorophyll — (ii) Thylakoids(c) Cristae — (iii) Nucleic acids(d) Ribozymes — (iv) Basal body of cilia or flagella

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?

Deficiency symptoms of nitrogen and potassium are visible first in:

In which one of the following processes is ${\text{CO}}_2$ not released?

Anoxygenic photosynthesis is characteristic of:

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?

Which one of the following growth regulators is known as the 'stress hormone'?

Geitonogamy involves:

Male gametophyte with the least number of cells is present in:

An aggregate fruit is one which develops from:

Pollen tablets are available in the market for:

The function of the filiform apparatus is to:

Non-albuminous (non-endospermic) seed is produced in:

Which of the following shows a coiled RNA strand and capsomeres?

Which one of the following is wrongly matched?

Transformation was discovered by:

Fruit colour in squash is an example of:

Viruses have:

The first human hormone produced by recombinant DNA technology is:

An analysis of chromosomal DNA using the Southern hybridization technique does not use:

In vitro clonal propagation in plants is characterized by:

An alga which can be employed as food for human being is:

Which vector can clone only a small fragment of DNA?

An example of ex situ conservation is: