AIPMT 2012 Mock Test

Vapour pressure of chloroform (${\text{CHCl}}_3$) and dichloromethane (${\text{CH}}_2{\text{Cl}}_2$) at $25^{\circ }\text{C}$ are $200\text{mm Hg}$ and $41.5\text{mm Hg}$ respectively. Vapour pressure of the solution obtained by mixing $25.5\text{g}$ of ${\text{CHCl}}_3$ and $40\text{g}$ of ${\text{CH}}_2{\text{Cl}}_2$ at the same temperature will be: (Molecular mass of ${\text{CHCl}}_3=119.5\text{u}$ and molecular mass of ${\text{CH}}_2{\text{Cl}}_2=85\text{u}$)

The Gibbs energy for the decomposition of ${\text{Al}}_2{\text{O}}_3$ at $500^{\circ }\text{C}$ is as follows:
$$\frac{2}{3}{\text{Al}}_2{\text{O}}_3\to \frac{4}{3}\text{Al}+{\text{O}}_2;{\Delta }_{r}G=+960{\text{kJ mol}}^{-1}$$
The potential difference needed for the electrolytic reduction of aluminium oxide (${\text{Al}}_2{\text{O}}_3$) at $500^{\circ }\text{C}$ is at least:

Four successive members of the first series of the transition metals are listed below. For which one of them the standard potential ($E_{M^{2+}/M}^{\circ }$) value has a positive sign?

Which of the following exhibits only $+3$ oxidation state?

Molar conductivities (${\Lambda }_m^{\circ }$) at infinite dilution of $\text{NaCl}$, $\text{HCl}$ and ${\text{CH}}_3\text{COONa}$ are $126.4$, $425.9$ and $91.0{\text{S cm}}^2{\text{mol}}^{-1}$ respectively. ${\Lambda }_m^{\circ }$ for ${\text{CH}}_3\text{COOH}$ will be:

In which of the following arrangements the given sequence is NOT strictly according to the property indicated against it?

Consider the reaction:
$$\text{RCHO}+{\text{NH}}_2{\text{NH}}_2\to \text{RCH}=\text{N}-{\text{NH}}_2+{\text{H}}_2\text{O}$$
What sort of reaction is it?

During change of ${\text{O}}_2$ to ${\text{O}}_2^{-}$ ion, the electron adds on which one of the following orbitals?

Standard reduction potentials of the half reactions are given below:${\text{F}}_{2(\text{g})}+2e^{-}\to 2{\text{F}}_{(\text{aq})}^{-};E^{\circ }=+2.85\text{V}$${\text{Cl}}_{2(\text{g})}+2e^{-}\to 2{\text{Cl}}_{(\text{aq})}^{-};E^{\circ }=+1.36\text{V}$${\text{Br}}_{2(\text{g})}+2e^{-}\to 2{\text{Br}}_{(\text{aq})}^{-};E^{\circ }=+1.06\text{V}$${\text{I}}_{2(\text{g})}+2e^{-}\to 2{\text{I}}_{(\text{aq})}^{-};E^{\circ }=+0.53\text{V}$ The strongest oxidising and reducing agents respectively are:

The catalytic activity of transition metals and their compounds is ascribed mainly to:

Equal volumes of two monoatomic gases, $A$ and $B$, at same temperature and pressure are mixed. The ratio of specific heats ($C_p/C_v$) of the mixture will be:

Given that the equilibrium constant for the reaction $2{\text{SO}}_{2(\text{g})}+{\text{O}}_{2(\text{g})}\rightleftharpoons 2{\text{SO}}_{3(\text{g})}$ has a value of $278$ at a particular temperature. What is the value of the equilibrium constant for the following reaction at the same temperature:
$${\text{SO}}_{3(\text{g})}\rightleftharpoons {\text{SO}}_{2(\text{g})}+\frac{1}{2}{\text{O}}_{2(\text{g})}$$

Which one of the following sets forms the biodegradable polymer?

In the replacement reaction:

The reaction will be most favourable if $\text{M}$ happens to be:

Activation energy ($E_a$) and rate constants ($k_1$ and $k_2$) of a chemical reaction at two different temperatures ($T_1$ and $T_2$) are related by:

Which one of the following does NOT correctly represent the correct order of the property indicated against it?

Red precipitate is obtained when ethanol solution of dimethylglyoxime (DMG) is added to ammoniacal $\text{Ni(II)}$. Which of the following statements is NOT true?

An organic compound (${\text{C}}_3{\text{H}}_9\text{N}$) ($A$), when treated with nitrous acid, gave an alcohol and ${\text{N}}_2$ gas was evolved. ($A$) on warming with ${\text{CHCl}}_3$ and caustic potash gave ($C$) which on reduction gave isopropylmethylamine. Predict the structure ($A$).

Structure of a mixed oxide is cubic close-packed (c.c.p). The cubic unit cell of mixed oxide is composed of oxide ions. One fourth of the tetrahedral voids are occupied by divalent metal $A$ and the octahedral voids are occupied by a monovalent metal $B$. The formula of the oxide is:

The orbital angular momentum of a $p$ -electron is given as:

Four diatomic species are listed below. Identify the correct order in which the bond order is increasing in them:

Which of the following compounds can be used as antifreeze in automobile radiators?

For real gases van der Waals equation is written as:
$$\left(P+\frac{a{n}^2}{V^2}\right)(V-nb)=nRT$$
Select the correct order for constants '$a$ ' and '$b$ ':

A certain gas takes three times as long to effuse out as helium. Its molecular mass will be:

Consider the following reaction:
The product 'A' is:

Which of the following reagents will be able to distinguish between $1$ -butyne and $2$ -butyne?

Which of the following compounds will give a yellow precipitate with iodine and alkali?

Chloramphenicol is an:

Given the reaction between $2$ gases represented by ${\text{A}}_2$ and ${\text{B}}_2$ to give the compound ${\text{AB}}_{(\text{g})}$. At equilibrium, the concentration of:$[{\text{A}}_2]=3.0\times 10^{-3}\text{M}$$[{\text{B}}_2]=4.2\times 10^{-3}\text{M}$$[\text{AB}]=2.8\times 10^{-3}\text{M}$ If the reaction takes place in a sealed vessel at $527^{\circ }\text{C}$, then the value of $K_c$ for the reaction ${\text{A}}_2+{\text{B}}_2\rightleftharpoons 2\text{AB}$ will be:

Low spin complex of $d^6$ -cation in an octahedral field will have the following energy: (${\Delta }_o$ = Crystal Field Splitting Energy, $P$ = Electron pairing energy)

In the five-kingdom classification, Chlamydomonas and Chlorella have been included in:

Identify the likely organisms (a), (b), (c) and (d) in the food web shown below:

A test cross is carried out to:

Read the following statements (A – D):(A) In Equisetum the female gametophyte is retained on the parent sporophyte.(B) In Ginkgo male gametophyte is not independent.(C) The sporophyte in Riccia is more developed than that in Polytrichum.(D) Sexual reproduction in Volvox is isogamous.How many of the above statements are right?

Which one of the following human organs is often called the “graveyard” of RBCs?

Which one of the following generally acts as an antagonist to gibberellins?

Tobacco plants resistant to a nematode have been developed by the introduction of DNA that produced (in the host cells):

How many plants in the list given below have marginal placentation?Mustard, Gram, Tulip, Asparagus, Arhar, Sun hemp, Chilli, Colchicine, Onion, Moong, Pea, Tobacco, Lupin

For its activity, carboxypeptidase requires:

The second stage of hydrosere is occupied by plants like:

Which one of the following structures is an organelle within an organelle?

In gobar gas (biogas), the maximum amount is that of:

The first clinical gene therapy was given for treating:

Which one of the following biomolecules is correctly characterised?

Green revolution in India occurred during:

Cuscuta is an example of:

Consider the following four statements (a–d) and select the correct ones:(a) Single cell Spirulina can produce large quantities of food rich in protein.(b) Methylophilus methylotrophus may produce several times more proteins than cows per day.(c) Common button mushrooms are a very rich source of vitamin C.(d) A rice variety has been developed which is very rich in calcium.

How many organisms in the list given below are autotrophs?Lactobacillus, Nostoc, Chara, Nitrosomonas, Nitrobacter, Streptomyces, Saccharomyces, Trypanosoma, Porphyra, Wolffia

Which one of the following categories of animals, is correctly described with NO single exception in it?

The four sketches (A, B, C and D) given below represent four different types of animal tissues. Which one of these is correctly identified along with its correct location and function?

Given below is the diagrammatic sketch of a certain type of connective tissue. Identify the parts labelled A, B, C and D:

Sacred groves are specially useful in:

The figure below shows three steps (A, B, C) of Polymerase Chain Reaction (PCR). Select the option giving correct identification?

The rate of formation of new organic matter by rabbit in a grassland, is called:

Which one of the following organisms is scientifically correctly named?

Which one of the following represents palindromic sequence in DNA?

Vernalisation stimulates flowering in:

Which one of the following statements is correct with respect to immunity?

Which one of the following sets of items are correctly categorised with one exception in it?

Which one of the following pairs is wrongly matched?

Which one of the following is a wrong statement regarding mutations?

Read the following four statements (A – D):(A) Both, photophosphorylation and oxidative phosphorylation involve uphill transport of protons across the membrane.(B) In dicot stems, a new cambium originates from cells of pericycle at the time of secondary growth.(C) Stamens in flowers of Gloriosa and Petunia are polyandrous.(D) Symbiotic nitrogen-fixers occur in free-living state also in soil.How many of the above statements are right?

Where do certain symbiotic microorganisms normally occur in the human body?

The secretory phase in the human menstrual cycle is also called:

Biolistics (gene-gun) is suitable for:

A fall in glomerular filtration rate (GFR) activates:

Represented below is the inheritance pattern of a certain type of trait in humans. Which one of the following conditions could be an example of this pattern?(Note: Father (carrier/affected) $\to$ Daughter; Mother (carrier/affected) $\to$ Son)

Which one of the following cellular parts is correctly described?

Which one of the following options gives the correct categorisation of six animals according to the type of nitrogenous wastes they give out?

Which one of the following characteristics is common both in humans and adult frogs?

Identify the human developmental stage shown below as well as the related right place of its occurrence in a normal pregnant woman?

What is the function of the germ pore?

For its action, nitrogenase requires:

In genetic engineering, the antibiotics are used:

Through their effect on plant growth regulators, what do temperature and light control in plants?

What is it that forms the basis of DNA fingerprinting?

Select the correct statement about biodiversity:

The domestic sewage in large cities:

Plants with ovaries having only one or a few ovules are generally pollinated by:

Read the following four statements (A - D):(A) Colostrum is recommended for the newborn because it is rich in antigens.(B) Chikungunya is caused by a Gram-negative bacterium.(C) Tissue culture has proved useful in obtaining virus-free plants.(D) Beer is manufactured by distillation of fermented grape juice.How many of the above statements are wrong?

The supportive skeletal structures in the human external ears and in the nose tip are examples of:

As compared to a dicot root, a monocot root has:

Which one of the following organisms is correctly matched with its three characteristics?

Which one of the following pairs of chemical substances is correctly categorised?

Identify the molecules (a) and (b) shown below and select the right option:

Identify the meiotic stage in which the homologous chromosomes separate while the sister chromatids remain associated at their centromeres:

Which one of the following statements is wrong?

The idea of mutations was brought forth by:

Read the following four statements (A - D):(A) In transcription, adenosine pairs with uracil.(B) Regulation of lac operon by repressor is referred to as positive regulation.(C) The human genome has approximately $50,000$ genes.(D) Haemophilia is a sex-linked recessive disease.How many of the above statements are right?

Which one of the following pairs of animals are similar to each other pertaining to the feature stated against them?

Two metallic spheres of radii $1\text{cm}$ and $3\text{cm}$ are given charges of $-1\times 10^{-2}\text{C}$ and $5\times 10^{-2}\text{C}$, respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is:

A proton carrying $1\text{MeV}$ kinetic energy is moving in a circular path of radius $R$ in uniform magnetic field. What should be the energy of an $\alpha$ -particle to describe a circle of same radius in the same field?

A circular platform is mounted on a frictionless vertical axle. Its radius $R=2\text{m}$ and its moment of inertia $I=200{\text{kg m}}^2$. It is initially at rest. A $50\text{kg}$ man stands on the edge and begins to walk along the edge at a speed of $1{\text{ms}}^{-1}$ relative to the ground. Time taken by the man to complete one revolution is:

The ratio of amplitude of magnetic field ($B_0$) to the amplitude of electric field ($E_0$) for an electromagnetic wave propagating in vacuum is equal to:

A magnetic needle suspended parallel to a magnetic field requires $\sqrt{3}\text{J}$ of work to turn it through $60^{\circ }$. The torque needed to maintain the needle in this position will be:

A rod of length $10\text{cm}$ lies along the principal axis of a concave mirror of focal length $10\text{cm}$ in such a way that its end closer to the pole is $20\text{cm}$ away. The length of the image is:

The moment of inertia of a uniform circular disc is maximum about an axis perpendicular to the disc and passing through:

Which one of the following plots represents the variation of gravitational field ($I$) due to a thin spherical shell of radius $R$ with distance $r$?

To get an output $Y=1$ in the given circuit (AND gate with inputs $A,B$ and then OR gate with $C$), which of the following input will be correct:

The equation of a simple harmonic wave is given by $y=3\sin \frac{\pi }{2}(50t-x)$. The ratio of maximum particle velocity to the wave velocity is:

A parallel plate capacitor has a uniform electric field $E$ in the space between the plates. If the distance between the plates is $d$ and area of each plate is $A$, the energy stored in the capacitor is:

The power dissipated in the circuit shown (two $10\Omega$ resistors in parallel connected to $R$ in series, $10\text{V}$ battery) is $30\text{Watts}$. The value of $R$ is:

If $v_e$ is escape velocity and $v_o$ is orbital velocity of a satellite for orbit close to the earth’s surface, then these are related by:

A stone is dropped from a height $h$. It hits the ground with a certain momentum $P$. If the same stone is dropped from a height $100\%$ more than the previous height, the momentum when it hits the ground will change by:

An ideal gas goes from state $A$ to state $B$ via three different processes. If $Q_1,Q_2,Q_3$ indicate the heat absorbed and $\Delta U_1,\Delta U_2,\Delta U_3$ indicate the change in internal energy:

Two radiations of photon energies $1\text{eV}$ and $2.5\text{eV}$ illuminate a surface of work function $0.5\text{eV}$ successively. The ratio of the maximum speeds of the emitted electrons is:

For the angle of minimum deviation of a prism to be equal to its refracting angle ($A$), the prism must be made of a material whose refractive index ($\mu$):

If the momentum of an electron is changed by $P$, then the de Broglie wavelength changes by $0.5\%$. The initial momentum of electron was:

Three masses are placed on the x-axis: $300\text{g}$ at origin, $500\text{g}$ at $x=40\text{cm}$ and $400\text{g}$ at $x=70\text{cm}$. The distance of the centre of mass from the origin is:

A car of mass $m$ is moving on a level circular track of radius $R$. If ${\mu }_s$ is the static friction, the maximum speed is:

A slab of area $0.36{\text{m}}^2$ and thickness $0.1\text{m}$ has ice on upper surface ($0^{\circ }\text{C}$) and steam on lower surface ($100^{\circ }\text{C}$). In one hour $4.8\text{kg}$ of ice melts. Thermal conductivity of slab is: ($L_f=3.36\times 10^5{\text{J kg}}^{-1}$)

In a coil of resistance $10\Omega$, the induced current varies with time as a triangle (peak $4\text{A}$ at $t=0$, zero at $t=0.1\text{s}$). The change in flux is:

A car starts from rest and accelerates so that instantaneous power delivered is constant ($P_0$). The instantaneous velocity is proportional to:

A train moving at $220{\text{ms}}^{-1}$ towards an object emits $1000\text{Hz}$ sound. Some sound reflects back as an echo. The frequency of the echo detected by the driver is: ($v_s=330{\text{ms}}^{-1}$)

Silicon transistor input resistance is $100\Omega$. Base current changes by $40\mu \text{A}$ resulting in collector current change of $2\text{mA}$. For a load resistance of $4\text{k}\Omega$ in common emitter, voltage gain is:

A cell with emf $ϵ$ and internal resistance $r$ is connected to variable $R$. Plot of potential difference $V$ across $R$ vs $R$ is:

The dimensions of $({\mu }_0{ϵ}_0{)}^{-1/2}$ are:

Half life is $50$ days. Time interval $(t_2-t_1)$ between when $2/3$ has decayed and $1/3$ has decayed is:

$i=\sin (100\pi t)$ and $e=\sin (100\pi t+\pi /3)$. Average power in Watts is:

Transition $n=3$ to $n=1$ results in ultraviolet radiation. Infrared radiation will be obtained in: