AIIMS UG 2013 Mock Test

In an experiment, four quantities $a,b,c$ and $d$ are measured with percentage error $1\%$, $2\%$, $3\%$ and $4\%$ respectively. Quantity $P$ is calculated as follows: $P=\frac{a^3{b}^2}{cd}$. The percentage error in $P$ is:

The velocity of a projectile at the initial point $A$ is $(2\hat{i}+3\hat{j})\text{m/s}$. Its velocity (in $\text{m/s}$) at point $B$ (the end of the trajectory on the same horizontal plane) is:

A stone falls freely under gravity. It covers distances $h_1,h_2$ and $h_3$ in the first $5\text{seconds}$, the next $5\text{seconds}$ and the next $5\text{seconds}$ respectively. The relation between $h_1,h_2$ and $h_3$ is:

Three blocks with masses $m,2m$ and $3m$ are connected by strings, as shown in the figure. After an upward force $F$ is applied on block $m$, the masses move upward at constant speed $v$. What is the net force on the block of mass $2m$? ($g$ is the acceleration due to gravity)

The upper half of an inclined plane of inclination $\theta$ is perfectly smooth while the lower half is rough. A block starting from rest at the top of the plane will again come to rest at the bottom, if the coefficient of friction between the block and lower half of the plane is given by:

A uniform force of $(3\hat{i}+\hat{j})\text{N}$ acts on a particle of mass $2\text{kg}$. Hence the particle is displaced from position $(2\hat{i}+\hat{k})\text{m}$ to position $(4\hat{i}+3\hat{j}-\hat{k})\text{m}$. The work done by the force on the particle is:

An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass $1\text{kg}$ moves with a speed of $12\text{m/s}$ and the second part of mass $2\text{kg}$ moves with $8\text{m/s}$ speed. If the third part flies off with $4\text{m/s}$ speed, then its mass is:

A rod $PQ$ of mass $M$ and length $L$ is hinged at end $P$. The rod is kept horizontal by a massless string tied to point $Q$. When the string is cut, the initial angular acceleration of the rod is:

A small object of uniform density rolls up a curved surface with an initial velocity $v$. It reaches up to a maximum height of $\frac{3v^2}{4g}$ with respect to the initial position. The object is a:

A body of mass $m$ is taken from the earth's surface to the height equal to twice the radius ($R$) of the earth. The change in potential energy of the body will be:

Infinite number of bodies, each of mass $2\text{kg}$ are situated on the x-axis at distances $1\text{m},2\text{m},4\text{m},8\text{m},\dots$, respectively, from the origin. The resulting gravitational potential due to this system at the origin will be:

The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?

The wettability of a surface by a liquid depends primarily on:

The molar specific heats of an ideal gas at constant pressure and volume are denoted by $C_p$ and $C_v$, respectively. If $\gamma =\frac{C_p}{C_v}$ and $R$ is the universal gas constant, then $C_v$ is equal to:

A piece of iron is heated in a flame. It first becomes dull red, then reddish yellow, and finally turns white hot. The correct explanation for this observation is possible using:

A gas is taken through the cycle $A\to B\to C\to A$, where $A=(2,2\times 10^5)$, $B=(2,6\times 10^5)$, and $C=(7,2\times 10^5)$ in $(V,P)$ coordinates ($V$ in $10^{-3}{\text{m}}^3$, $P$ in $\text{Pa}$). What is the net work done by the gas?

During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its temperature. The ratio of $\frac{C_p}{C_v}$ for the gas is:

In a $(V-T)$ diagram for an ideal gas, two isobaric lines $P_1$ and $P_2$ are shown. If the slope of $P_2$ is less than the slope of $P_1$, what is the relation between the pressures?

The amount of heat energy required to raise the temperature of $1\text{g}$ of Helium at NTP from $T_1\text{K}$ to $T_2\text{K}$ is:

A wave travelling in the $+x$ direction having displacement along $y$ as $1\text{m}$, wavelength $2\pi \text{m}$ and frequency $\frac{1}{\pi }\text{Hz}$ is represented by:

If we study the vibration of a pipe open at both ends, then which of the following statements is not true?

A source of unknown frequency $f_u$ gives $4\text{beats/s}$ with a known source of $250\text{Hz}$. The second harmonic of $f_u$ ($2f_u$) gives $5\text{beats/s}$ with a source of $513\text{Hz}$. The unknown frequency is:

Two pith balls carrying equal charges are suspended from a common point by strings of equal length. The equilibrium separation between them is $r$. Now the strings are rigidly clamped at half the height ($y/2$). The equilibrium separation between the balls now becomes:

$A,B$ and $C$ are three points in a uniform electric field $\vec{E}$ directed along the positive x-axis. $B$ is further left than $A$, and $A$ is further left than $C$. The electric potential is:

A wire of resistance $4\Omega$ is stretched to twice its original length. The resistance of the stretched wire would be:

The internal resistance of a $2.1\text{V}$ cell which gives a current of $0.2\text{A}$ through a resistance of $10\Omega$ is:

The resistances of the four arms $P,Q,R,S$ in a Wheatstone bridge are $10\Omega ,30\Omega ,30\Omega ,90\Omega$ respectively. The e.m.f. is $7\text{V}$ and internal resistance is $5\Omega$. What is the current drawn from the cell?

A proton released from rest starts with acceleration $a_0$ towards west. When projected towards north with speed $v_0$, it moves with initial acceleration $3a_0$ towards west. The electric and magnetic fields in the room are:

A current loop in a magnetic field:

A bar magnet of length $l$ and magnetic dipole moment $M$ is bent in the form of an arc subtending $60^{\circ }$ at the center. The new magnetic dipole moment will be:

A wire loop is rotated in a magnetic field. The frequency of change of direction of the induced e.m.f. is:

A coil of self-inductance $L$ is connected in series with a bulb $B$ and an AC source. Brightness of the bulb decreases when:

The condition under which a microwave oven heats up a food item containing water molecules most efficiently is:

Ratio of longest wavelengths corresponding to Lyman and Balmer series in hydrogen spectrum is:

The half-life of a radioactive isotope 'X' is $20\text{years}$. It decays to stable element 'Y'. The ratio of 'X' to 'Y' in a rock is $1:7$. The age of the rock is:

Mass defect in a fusion reaction of Hydrogen to Helium is $0.02866\text{u}$. The energy liberated per nucleon is approximately: (Given $1\text{u}=931\text{MeV}$)

For photoelectric emission, the cutoff frequency is $\nu$. If radiation of frequency $2\nu$ impinges on the plate, the maximum velocity of emitted electrons is:

The wavelength ${\lambda }_e$ of an electron and ${\lambda }_p$ of a photon of same energy $E$ are related by:

A plano-convex lens (${\mu }_1$) fits exactly into a plano-concave lens (${\mu }_2$). Their plane surfaces are parallel. Focal length of the combination is:

For a normal eye, the cornea provides power of $40\text{D}$ and the eye lens provides $20\text{D}$. The estimated distance between the retina and the lens is:

In YDSE, slits are $2\text{mm}$ apart and $D=2\text{m}$. Two wavelengths ${\lambda }_1=12000\text{A˚}$ and ${\lambda }_2=10000\text{A˚}$ are used. At what minimum distance from the central fringe will their bright fringes coincide?

A parallel beam of fast moving electrons is incident normally on a narrow slit. If the speed of electrons is increased:

In a n-type semiconductor, which of the following is true?

In a CE amplifier, the transistor used has transconductance $0.03\text{mho}$. If replaced with another having transconductance $0.02\text{mho}$, the voltage gain $G$ becomes:

The output ($X$) of a NAND gate followed by a NOT gate is equivalent to:

What is the maximum number of electrons that can be associated with the following set of quantum numbers: $n=3,l=1,m=-1$?

What is the activation energy for a reaction if its rate doubles when the temperature is raised from $20^{\circ }\text{C}$ to $35^{\circ }\text{C}$? ($R=8.314{\text{J mol}}^{-1}{\text{K}}^{-1}$)

A hydrogen gas electrode is made by dipping platinum wire in a solution of HCl of $pH=10$. The oxidation potential of the electrode would be:

A reaction having equal energies of activation for forward and reverse reactions has:

The number of carbon atoms per unit cell of diamond unit cell is:

Maximum deviation from ideal gas behavior is expected from:

A metal has an FCC lattice with edge length $404\text{pm}$ and density $2.72{\text{g/cm}}^3$. The molar mass of the metal is:

A magnetic moment of $1.73\text{BM}$ will be shown by:

Roasting of sulphides gives a colorless gas with a choking smell. Its aqueous solution is acidic and acts as a reducing agent. The gas is:

Which is the strongest acid among the following?

Which of the following is paramagnetic?

Which of the following structure is similar to graphite?

The basic structural unit of silicates is:

By which of the following reactions can Benzaldehyde not be prepared?

Which of the following does not give oxygen on heating?

Which of the following lanthanoid ions is diamagnetic? (At. No. $\text{Yb}=70$)

Identify the correct order of solubility in aqueous medium:

${\text{XeF}}_2$ is isostructural with:

An excess of ${\text{AgNO}}_3$ is added to $100\text{mL}$ of a $0.01\text{M}$ solution of $[\text{Cr}({\text{H}}_2\text{O}{)}_4{\text{Cl}}_2]\text{Cl}$. The number of moles of $\text{AgCl}$ precipitated would be:

At $25^{\circ }\text{C}$, the molar conductance of a $0.1\text{M}$ aqueous solution of ammonium hydroxide is $9.54{\Omega }^{-1}{\text{cm}}^2{\text{mol}}^{-1}$ and at infinite dilution its molar conductance is $238{\Omega }^{-1}{\text{cm}}^2{\text{mol}}^{-1}$. The degree of ionisation of ammonium hydroxide at the same concentration and temperature is:

Based on the equation $E=-2.178\times 10^{-18}\text{J}\left(\frac{Z^2}{n^2}\right)$, which of the following conclusions is not correct?

A button cell used in watches functions as follows:$\text{Zn}(s)+{\text{Ag}}_2\text{O}(s)+{\text{H}}_2\text{O}(l)\to 2\text{Ag}(s)+{\text{Zn}}^{2+}(aq)+2{\text{OH}}^{-}(aq)$ Given:$E_{{\text{Zn}}^{2+}/\text{Zn}}^{\circ }=-0.76\text{V}$$E_{{\text{Ag}}_2\text{O}/\text{Ag}}^{\circ }=0.34\text{V}$ The cell potential $E_{cell}^{\circ }$ is:

How many grams of concentrated nitric acid solution (70% ${\text{HNO}}_3$ by mass) should be used to prepare $250\text{mL}$ of $2.0\text{M}$ ${\text{HNO}}_3$?

Dipole-induced dipole interactions are present in which of the following pairs?

Identify the structure of the compound whose IUPAC name is 3-Ethyl-2-hydroxy-4-methylhex-3-en-5-ynoic acid.

Which of the following is not a monomer for a high molecular mass silicone polymer?

Which of the following statements about interstitial compounds is incorrect?

Which one of the following molecules contains no $\pi$ bond?

Which of the following statements is not true regarding antiseptics and disinfectants?

Among the following ethers, which one will produce methyl alcohol on treatment with hot concentrated $\text{HI}$?

Nylon is an example of:

The structure of the isobutyl group in an organic compound is:

Nitrobenzene on reaction with concentrated ${\text{HNO}}_3/{\text{H}}_2{\text{SO}}_4$ at $80-100^{\circ }\text{C}$ forms:

Which of the following meta-directing groups is the most deactivating in aromatic substitution?

$6.02\times 10^{20}$ molecules of urea are present in $100\text{mL}$ of its solution. The concentration of the solution is:

Which of the following is a polar molecule?

Which of the following is the monomer of Neoprene?

What is the correct order of stability for the following tautomeric compounds?(I) ${\text{CH}}_2=\text{C}(\text{OH})-{\text{CH}}_2-\text{C}(=\text{O}){\text{CH}}_3$ (II) ${\text{CH}}_3-\text{C}(=\text{O})-{\text{CH}}_2-\text{C}(=\text{O}){\text{CH}}_3$ (III) ${\text{CH}}_3-\text{C}(\text{OH})=\text{CH}-\text{C}(=\text{O}){\text{CH}}_3$

Which of the following compounds will not undergo Friedel-Crafts reaction easily?

Select the wrong statement regarding gametes and reproduction in algae:

Which one of the following is not a correct statement?

Isogamous condition with non-flagellated gametes is found in:

Besides paddy fields, cyanobacteria are also found inside the vegetative part of:

Megasporangium is equivalent to:

Read the following statements:(A) In liverworts, mosses and ferns, gametophytes are free-living.(B) Gymnosperms and some ferns are heterosporous.(C) Sexual reproduction in Fucus, Volvox and Albugo is oogamous.(D) The sporophyte in liverworts is more elaborate than that in mosses.(E) Both Pinus and Marchantia are dioecious.How many of the above statements are correct?

Among bitter gourd, mustard, brinjal, pumpkin, china rose, lupin, cucumber, sunnhemp, gram, guava, bean, chilli, plum, petunia, tomato, rose, withania, potato, onion, aloe and tulip, how many plants have hypogynous flowers?

Interfascicular cambium develops from the cells of:

In China rose, the flowers are:

Lenticels are involved in:

The age of a tree can be estimated by:

The seed coat is not thin and membranous in:

The transition state structure of the substrate formed during an enzymatic reaction is:

A phosphoglyceride is always made up of:

Pigment-containing membranous extensions in some cyanobacteria are:

A major site for the synthesis of lipids is:

The complex formed by a pair of synapsed homologous chromosomes is called:

The three boxes in a diagram represent the major biosynthetic pathways in aerobic respiration. Pathway A is Glycolysis, B is Krebs cycle, and C is ETS. Arrows represent reactants/products. Arrows 4, 8, and 12, which exit from each pathway respectively, can all represent:

The most abundant intracellular cation is:

During seed germination, its stored food is mobilized by:

Which of the following criteria does not pertain to facilitated transport?

The first stable product of fixation of atmospheric nitrogen in leguminous plants is:

Which of the following metabolites is common to the respiration-mediated breakdown of fats, carbohydrates, and proteins?

Which one of the following statements is correct?

Product of sexual reproduction generally generates:

Meiosis takes place in:

The advantage of cleistogamy is:

Monoecious plant of Chara shows occurrence of:

Perisperm differs from endosperm in:

Which of the following statements is not true of two genes that show $50\%$ recombination frequency?

Variation in gene frequencies within populations can occur by chance rather than by natural selection. This is referred to as:

If two persons with 'AB' blood group marry and have children, the children could be classified as 'A' : 'AB' : 'B' in a $1:2:1$ ratio. Protein electrophoresis reveals presence of both 'A' and 'B' type proteins in 'AB' individuals. This is an example of:

The process by which organisms with different evolutionary history evolve similar phenotypic adaptations in response to a common environmental challenge is called:

The tendency of a population to remain in genetic equilibrium may be disturbed by:

Which of the following Bt crops is being grown in India by farmers?

A good producer of citric acid is:

DNA fragments generated by restriction endonucleases in a chemical reaction can be separated by:

The colonies of recombinant bacteria appear white in contrast to blue colonies of non-recombinant bacteria because of:

Which of the following are likely to be present in deep sea water?

Natural reservoir of phosphorus is:

Secondary productivity is the rate of formation of new organic matter by:

Which one of the following is not used for ex-situ plant conservation?

Which of the following represent the maximum number of species among global biodiversity?

Match the name of the animal with its characteristics and phylum/class:

Which group of animals belong to the same phylum?

The H-zone in the skeletal muscle fibre is due to:

What external changes are visible after the last moult of a cockroach nymph?

The Golgi complex plays a major role in:

Which organelle matches correctly with its function?

The macromolecule chitin is a:

A stage in cell division shows nuclear envelope reforming and Golgi complex reforming. Identify the stage:

Select the correct match of digested products with their absorption site and mechanism:

A baby suffers from stunted growth and mental retardation. This is a result of:

In the human respiratory system, the Bag-like structures where gas exchange occurs are:

Which vessel takes deoxygenated blood from the body parts to the right auricle?

In a standard ECG, the P-wave represents:

The gland located at the anterior part of the kidney which secretes Catecholamines is:

Select the correct statement with respect to locomotion in humans:

The joint between the atlas and axis is an example of:

In the diagram of a synapse, C represents:

Which part of the human eye contains photoreceptors (rods and cones)?

Select the correct statement in relation to the endocrine system:

The correct sequence of sperm formation is:

Menstrual flow occurs due to the lack of:

Which of the following is not a function of the placenta?

One of the legal methods of birth control is:

Which of the following cannot be detected in a developing foetus by amniocentesis?

Artificial insemination means:

The incorrect statement with regard to Haemophilia is: