AIPMT 2009 Preliminary Mock Test

In the nuclear decay given below:
$${}_Z^{A}X\stackrel{1}{\to }{}_{Z+1}^{A}Y\stackrel{2}{\to }{}_{Z-1}^{A-4}{B}^{\ast }\stackrel{3}{\to }{}_{Z-1}^{A-4}B$$
The particles emitted in the sequence are:

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:

In thermodynamic processes which of the following statements is not true?

The number of photo electrons emitted for light of a frequency $\nu$ (higher than the threshold frequency ${\nu }_0$) is proportional to:

A simple pendulum performs simple harmonic motion about $x=0$ with an amplitude $a$ and time period $T$. The speed of the pendulum at $x=a/2$ will be:

Consider an electric circuit consisting of two batteries with emfs ${ϵ}_1,{ϵ}_2$ and internal resistances $r_1,r_2$ connected in parallel with an external resistance $R$. If $i_1$ and $i_2$ are currents through the respective branches, which of the following Kirchhoff equations is correct?

A body, under the action of a force $\vec{F}=6\hat{i}-8\hat{j}+10\hat{k}$, acquires an acceleration of $1{\text{m/s}}^2$. The mass of this body must be:

The symbolic representations of four logic gates are given. The symbols for OR, NOT and NAND gates are respectively:

If $\vec{F}$ is the force acting on a particle having position vector $\vec{r}$ and $\vec{\tau }$ be the torque of this force about the origin, then:

The two ends of a rod of length $L$ and a uniform cross-sectional area $A$ are kept at two temperatures $T_1$ and $T_2$ ($T_1>T_2$). The rate of heat transfer, $\frac{dQ}{dt}$, through the rod in a steady state is given by:

A p-n photodiode is fabricated from a semiconductor with a band gap of $2.5\text{eV}$. It can detect a signal of wavelength:

If the dimensions of a physical quantity are given by $M^a{L}^b{T}^c$, then the physical quantity will be:

A transistor is operated in common-emitter configuration at $V_c=2\text{V}$ such that a change in the base current from $100\mu \text{A}$ to $200\mu \text{A}$ produces a change in the collector current from $5\text{mA}$ to $10\text{mA}$. The current gain is:

The mass of a lift is $2000\text{kg}$. When the tension in the supporting cable is $28000\text{N}$, then its acceleration is:

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:

Each of the two strings of length $51.6\text{cm}$ and $49.1\text{cm}$ are tensioned separately by $20\text{N}$ force. Mass per unit length of both the strings is same and equal to $1\text{g/m}$. When both the strings vibrate simultaneously, the number of beats is:

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:

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?

The Figure shows elliptical orbit of a planet $m$ about the sun $S$. The shaded area $SCD$ is twice the shaded area $SAB$. If $t_1$ is the time for the planet to move from $C$ to $D$ and $t_2$ is the time to move from $A$ to $B$ then:

A black body at $227^{\circ }\text{C}$ radiates heat at the rate of $7{\text{Cals/cm}}^2\text{s}$. At a temperature of $727^{\circ }\text{C}$, the rate of heat radiated in the same units will be:

The driver of a car travelling with speed $30\text{m/sec}$ towards a hill sounds a horn of frequency $600\text{Hz}$. If the velocity of sound in air is $330\text{m/s}$, the frequency of reflected sound as heard by driver is:

A wire of resistance $12\Omega /\text{m}$ is bent to form a complete circle of radius $10\text{cm}$. The resistance between its two diametrically opposite points, $A$ and $B$, is:

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, $\vec{v}=v\hat{i}$. The magnetic field is directed along the negative $z$ axis. The induced emf will not remain constant for:

A galvanometer having a coil resistance of $60\Omega$ shows full scale deflection when a current of $1.0\text{A}$ passes through it. It can be converted into an ammeter to read currents up to $5.0\text{A}$ by:

Power dissipated in an LCR series circuit connected to an a.c source of emf $ϵ$ is:

Three concentric spherical shells have radii $a,b$ and $c$ ($a<b<c$) and have surface charge densities $\sigma ,-\sigma$ and $\sigma$ respectively. If $V_A,V_B$ and $V_C$ denote the potentials of the three shells, then for $c=a+b$, we have:

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?

A bar magnet having a magnetic moment of $2\times 10^4{\text{JT}}^{-1}$ is free to rotate in a horizontal plane. A horizontal magnetic field $B=6\times 10^{-4}\text{T}$ exists in the space. The work done in taking the magnet slowly from a direction parallel to the field to a direction $60^{\circ }$ from the field is:

In a Rutherford scattering experiment when a projectile of charge $z_1$ and mass $M_1$ approaches a target nucleus of charge $z_2$ and mass $M_2$, the distance of closest approach is $r_0$. The energy of the projectile is:

Monochromatic light of wavelength $667\text{nm}$ is produced by a helium neon laser. The power emitted is $9\text{mW}$. The number of photons arriving per sec. on the average at a target irradiated by this beam is:

A wave in a string has an amplitude of $2\text{cm}$. The wave travels in the $+ve$ direction of $x$ axis with a speed of $128\text{m/sec}$ and it is noted that $5$ complete waves fit in $4\text{m}$ length of the string. The equation describing the wave is:

Which one of the following equations of motion represents simple harmonic motion?

A student measures the terminal potential difference ($V$) of a cell (of emf $ϵ$ and internal resistance $r$) as a function of the current ($I$) flowing through it. The slope and intercept of the graph between $V$ and $I$ are respectively:

If a diamagnetic substance is brought near the north or the south pole of a bar magnet, it is:

A bus is moving with a speed of $10{\text{ms}}^{-1}$ on a straight road. A scooterist wishes to overtake the bus in $100\text{s}$. If the bus is at a distance of $1\text{km}$ from the scooterist, with what speed should the scooterist chase the bus?

Sodium has body centred packing. Distance between two nearest atoms is $3.7\text{A˚}$. The lattice parameter is:

The internal energy change in a system that has absorbed $2\text{Kcals}$ of heat and done $500\text{J}$ of work is:

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:

An explosion blows a rock into three parts. Two parts go off at right angles to each other: a $1\text{kg}$ part moving at $12{\text{ms}}^{-1}$ and a $2\text{kg}$ part moving at $8{\text{ms}}^{-1}$. If the third part flies off with a velocity of $4{\text{ms}}^{-1}$, its mass would be:

A particle starts its motion from rest under the action of a constant force. If the distance covered in the first $10$ seconds is $S_1$ and that covered in the first $20$ seconds is $S_2$, then:

A body of mass $1\text{kg}$ is thrown upwards with a velocity $20\text{m/s}$. It momentarily comes to rest after attaining a height of $18\text{m}$. How much energy is lost due to air friction? ($g=10{\text{m/s}}^2$)

A conducting circular loop is placed in a uniform magnetic field $0.04\text{T}$ with its plane perpendicular to the magnetic field. The radius of the loop starts shrinking at $2\text{mm/s}$. The induced emf in the loop when the radius is $2\text{cm}$ is:

The magnetic force acting on a charged particle of charge $-2\mu \text{C}$ in a magnetic field of $2\text{T}$ acting in $y$ direction, when the particle velocity is $(2\hat{i}+3\hat{j})\times 10^6{\text{ms}}^{-1}$, is:

Two bodies of mass $1\text{kg}$ and $3\text{kg}$ have position vectors $\hat{i}+2\hat{j}+\hat{k}$ and $-3\hat{i}-2\hat{j}+\hat{k}$ respectively. The centre of mass of this system has a position vector:

The electric potential at a point $(x,y,z)$ is given by $V=-x^{2}y-x{z}^3+4$. The electric field $\vec{E}$ at that point is:

The mean free path of electrons in a metal is $4\times 10^{-8}\text{m}$. The electric field which can give on an average $2\text{eV}$ energy to an electron in the metal will be in units of $\text{V/m}$:

The ionization energy of the electron in the hydrogen atom in its ground state is $13.6\text{eV}$. The atoms are excited to higher energy levels to emit radiations of $6$ wavelengths. Maximum wavelength of emitted radiation corresponds to the transition between:

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:

The electric field part of an electromagnetic wave in a medium is represented by $E_x=0$, $E_y=2.5\text{N/C}\cos [2\pi \times 10^6\frac{\text{rad}}{\text{s}}t-\pi \times 10^{-2}\frac{\text{rad}}{\text{m}}x]$, $E_z=0$. The wave is:

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 unstretched. The maximum extension produced in the length of the spring will be:

Which one of the following is the correct pairing of a body part and the kind of muscle tissue that moves it?

The epithelial tissue present on the inner surface of bronchioles and fallopian tubes is:

Study the pedigree chart given below:What does it show?

Manganese ($\text{Mn}$) is required in:

Polyethylene glycol ($\text{PEG}$) method is used for:

The floral formula is that of:

Which one of the following groups of animals is bilaterally symmetrical and triploblastic?

Which one of the following is commonly used in transfer of foreign $\text{DNA}$ into crop plants?

Which one of the following is the correct matching of the events occurring during the menstrual cycle?
(1) Proliferative phase – Rapid regeneration of myometrium and maturation of Graafian follicle
(2) Secretory phase – Development of corpus luteum and increased secretion of progesterone
(3) Menstruation – Breakdown of myometrium and ovum not fertilised
(4) Ovulation – LH and FSH attain peak level and sharp fall in the secretion of progesterone

Which one is the wrong pairing for the disease and its causal organism?

A global agreement in specific control strategies to reduce the release of ozone depleting substances was adopted by:

What is true about $\text{Bt}$ toxin?

Peripatus is a connecting link between:

T.O. Diener discovered a:

Seminal plasma in humans is rich in:

A fruit developed from hypanthodium inflorescence is called:

The cell junctions called tight, adhering and gap junctions are found in:

What will happen if the stretch receptors of the urinary bladder wall are totally removed?

If a live earthworm is pricked with a needle on its outer surface without damaging its gut, the fluid that comes out is:

The most popularly known blood grouping is the $\text{ABO}$ grouping. It is named $\text{ABO}$ and not $\text{ABC}$, because "O" refers to having:

One of the synthetic auxins is:

A person likely to develop tetanus is immunised by administering:

Alzheimer disease in humans is associated with the deficiency of:

Biochemical Oxygen Demand ($\text{BOD}$) in a river water:

The genetic defect — adenosine deaminase ($\text{ADA}$) deficiency may be cured permanently by:

Compared to blood, our lymph has:

Sickle cell anemia is:

Which of the following plant species you would select for the production of bioethanol?

When breast feeding is replaced by less nutritive food low in proteins and calories, infants below the age of one year are likely to suffer from:

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?

Which one of the following has maximum genetic diversity in India?

Oxygenic photosynthesis occurs in:

There is no $\text{DNA}$ in:

Given below is a schematic break-up of the phases of the cell cycle. Which one of the following is the correct indication of the stage/phase?

Tiger is not a resident in which one of the following national parks?

Which one of the following statements is true regarding digestion and absorption of food in humans?

Synapsis occurs between:

Given below is a diagrammatic sketch of a portion of the human male reproductive system. Select the correct set of labels for parts A, B, C, D.

What is NOT true for the genetic code?

Which one of the following plants is monoecious?

Cyclic photophosphorylation results in the formation of:

The letter T in T-lymphocyte refers to:

Foetal ejection reflex in human female is induced by:

An anatomically fairly old dicotyledonous root is distinguished from the dicotyledonous stem by:

Plasmodesmata are:

Removal of introns and joining the exons in a defined order in a transcription unit is called:

Phylogenetic system of classification is based on:

Which part of the human brain is concerned with the regulation of body temperature?

Semiconservative replication of $\text{DNA}$ was first demonstrated in:

Which one of the following pairs of animals comprises 'jawless fishes'?

Which of the following is a pair of viral diseases?

Aerobic respiratory pathway is appropriately termed:

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:

Interpretations:
1) "B" is earlier pyramid and shows stabilised growth rate.
2) "B" is more recent showing that population is very young.
3) "A" is the earlier pyramid and no change has occurred in the growth rate.
4) "A" is more recent and shows slight reduction in the growth rate.

Cytoskeleton is made up of:

An example of axile placentation is:

Which one of the following has haplontic life cycle?

Steps taken by the Government of India to control air pollution include:

Which one of the following is considered important in the development of seed habit?

The annular and spirally thickened conducting elements generally develop in the protoxylem when the root or stem is:

The correct sequence of plants in a hydrosere is:

Stroma in the chloroplasts of higher plants contains:

A health disorder that results from the deficiency of thyroxine in adults and is characterised by (i) low metabolic rate, (ii) increase in body weight and (iii) tendency to retain water in tissues is:

Mannitol is the stored food in:

Which one of the following pairs is wrongly matched?

Which of the following is NOT used as a biopesticide?

Which one of the following is a vascular cryptogam?

In a standard ECG which one of the following alphabets is the correct representation of the respective activity of the human heart?

Uric acid is the chief nitrogenous component of the excretory products of:

Guard cells help in:

Montreal Protocol aims at:

DDT residues are rapidly passed through the food chain causing biomagnification because DDT is:

Vegetative propagation in mint occurs by:

Select the incorrect statement from the following:

Cotyledons and testa respectively are edible parts in:

Which one of the following statements is correct?

The correct sequence of spermatogenetic stages leading to the formation of sperms in a mature human testis is:

Use of anti-histamines and steroids give a quick relief from:

Chipko movement was launched for the protection of:

Which one of the following is the most likely root cause why menstruation is not taking place in a regularly cycling human female?

Globulins contained in human blood plasma are primarily involved in:

Palisade parenchyma is absent in leaves of:

In barley stem, vascular bundles are:

Which one of the following is the correct matching of three items and their grouping category?

Somaclones are obtained by:

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:

Transgenic plants are the ones:

Which one of the following pairs of food components in humans reaches the stomach totally undigested?

A change in the amount of yolk and its distribution in the egg will affect:

Middle lamella is composed mainly of:

Elbow joint is an example of:

Which of the following is a symbiotic nitrogen fixer?

Whose experiments cracked the DNA and discovered unequivocally that a genetic code is a "triplet"?

Which one of the following types of organisms occupy more than one trophic level in a pond ecosystem?

Which one of the following acids is a derivative of carotenoids?

The bacterium Bacillus thuringiensis is widely used in contemporary biology as:

An example of a seed with endosperm, perisperm, and caruncle is:

Reduction in vascular tissue, mechanical tissue and cuticle is characteristic of:

Point mutation involves:

Which one of the following correctly describes the location of some body parts in the earthworm Pheretima?

The kind of tissue that forms the supportive structure in our pinna (external ears) is also found in:

The state of hybridization of $C_2,C_3,C_5$ and $C_6$ of the hydrocarbon: is in the following sequence:

Oxidation numbers of $\text{P}$ in ${\text{PO}}_4^{3-}$, of $\text{S}$ in ${\text{SO}}_4^{2-}$ and that of $\text{Cr}$ in ${\text{Cr}}_2{\text{O}}_7^{2-}$, are respectively:

Lithium metal crystallises in a body centred cubic crystal. If the length of the side of the unit cell of lithium is $351\text{pm}$, the atomic radius of the lithium will be:

Which of the following reactions is an example of nucleophilic substitution reaction?

In the case of alkali metals, the covalent character decreases in the order:

Which one of the elements with the following outer orbital configurations may exhibit the largest number of oxidation states?

The stability of $+1$ oxidation state increases in the sequence: