AIPMT 2011 Preliminary Mock Test

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

The moment of inertia of a thin uniform rod of mass $M$ and length $L$ about an axis passing through its midpoint and perpendicular to its length is $I_0$. Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is:

A boy standing at the top of a tower of $20\text{m}$ height drops a stone. Assuming $g=10{\text{ms}}^{-2}$, the velocity with which it hits the ground is:

A person of mass $60\text{kg}$ is inside a lift of mass $940\text{kg}$ and presses the button on the control panel. The lift starts moving upwards with an acceleration $1.0{\text{m/s}}^2$. If $g=10{\text{ms}}^{-2}$, the tension in the supporting cable is:

A body projected vertically from the earth reaches a height equal to the earth's radius before returning to the earth. The power exerted by the gravitational force is greatest:

The instantaneous angular position of a point on a rotating wheel is given by the equation $\theta (t)=2t^3-6t^2$. The torque on the wheel becomes zero at:

A particle moves in a circle of radius $5\text{cm}$ with constant speed and time period $0.2\pi \text{s}$. The acceleration of the particle is:

A body of mass $M$ hits normally a rigid wall with velocity $V$ and bounces back with the same velocity. The impulse experienced by the body is:

A planet moving along an elliptical orbit is closest to the sun at a distance $r_1$ and farthest away at a distance of $r_2$. If $v_1$ and $v_2$ are the linear velocities at these points respectively, then the ratio $v_1/v_2$ is:

A radioactive nucleus of mass $M$ emits a photon of frequency $\nu$ and the nucleus recoils. The recoil energy will be:

The potential energy of a system increases if work is done:

A body is moving with velocity $30\text{m/s}$ towards east. After $10\text{seconds}$ its velocity becomes $40\text{m/s}$ towards north. The average acceleration of the body is:

A missile is fired for maximum range with an initial velocity of $20\text{m/s}$. If $g=10{\text{m/s}}^2$, the range of the missile is:

Force $F$ on a particle moving in a straight line varies with distance $d$ as shown in the figure. The work done on the particle during its displacement of $12\text{m}$ is:

A charge $Q$ is enclosed by a Gaussian spherical surface of radius $R$. If the radius is doubled, then the outward electric flux will:

Four electric charges $+q,+q,-q$ and $-q$ are placed at the corners of a square of side $2L$. The electric potential at point $A$, midway between the two charges $+q$ and $+q$, is:

A parallel plate condenser has a uniform electric field $E$ (V/m) in the space between the plates. If the distance between the plates is $d$ (m) and area of each plate is $A$ ($m^2$), the energy (joules) stored in the condenser is:

If power dissipated in the $9\Omega$ resistor in the circuit shown is $36\text{Watt}$, the potential difference across the $2\Omega$ resistor is:

A current of $2\text{A}$ flows through a $2\Omega$ resistor when connected across a battery. The same battery supplies a current of $0.5\text{A}$ when connected across a $9\Omega$ resistor. The internal resistance of the battery is:

The rate of increase of thermo e.m.f. with temperature at the neutral temperature of a thermocouple:

A current carrying closed loop in the form of a right angle isosceles triangle $ABC$ is placed in a uniform magnetic field acting along $AB$. If the magnetic force on the arm $BC$ is $\vec{F}$, the force on the arm $AC$ is:

The power obtained in a reactor using ${\text{U}}^{235}$ disintegration is $1000\text{kW}$. The mass decay of ${\text{U}}^{235}$ per hour is:

There are four light-weight-rod samples, $A,B,C,D$ separately suspended by threads. A bar magnet is slowly brought near each sample and the following observations are noted: (i) $A$ is feebly repelled (ii) $B$ is feebly attracted (iii) $C$ is strongly attracted (iv) $D$ remains unaffected. Which one of the following is true?

The electric and the magnetic field, associated with an e.m. wave, propagating along the $+z$ -axis, can be represented by:

A uniform electric field and a uniform magnetic field are acting along the same direction in certain region. If an electron is projected in the region such that its velocity is pointed along direction of fields, then the electron:

The current $i$ in a coil varies with time as shown in the figure. The variation of induced emf with time would be:

In an ac circuit an alternating voltage $e=200\sqrt{2}\sin 100t$ volts is connected to capacitor of capacity $1\mu \text{F}$. The r.m.s. value of the current in the circuit is:

An ac voltage is applied to a resistance $R$ and inductor $L$ in series. If $R$ and the inductive reactance are both equal to $3\Omega$, the phase difference between the applied voltage and the current in the circuit is:

When $1\text{kg}$ of ice at $0^{\circ }\text{C}$ melts to water at $0^{\circ }\text{C}$, the resulting change in its entropy, taking latent heat of ice to be $80\text{cal/g}$ is approximately:

During an isothermal expansion, a confined ideal gas does $-150\text{J}$ of work against its surrounding. This implies that:

A particle of mass $m$ is released from rest and follows a parabolic path as shown. Assuming that the displacement of the mass from the origin is small, which graph correctly depicts the position of the particle as a function of time?

Two waves are represented by the equations $y_1=a\sin (\omega t+kx+0.57)\text{m}$ and $y_2=a\cos (\omega t+kx)\text{m}$. The phase difference between them is:

Out of the following functions representing motion of a particle, which represents SHM?(A) $y=\sin \omega t-\cos \omega t$ (B) $y={\sin }^3\omega t$ (C) $y=5\cos \left(\frac{3\pi }{4}-3\omega t\right)$ (D) $y=1+\omega t+{\omega }^2{t}^2$

Sound waves travel at $350\text{m/s}$ through warm air and at $3500\text{m/s}$ through brass. The wavelength of a $700\text{Hz}$ acoustic wave as it enters brass from warm air:

The decreasing order of wavelength of infrared, microwave, ultraviolet and gamma rays is:

The wavelength of the first line of Lyman series for hydrogen atom is equal to that of the second line of Balmer series for a hydrogen-like ion. The atomic number $Z$ of the hydrogen-like ion is:

Which of the following is not due to total internal reflection?

A biconvex lens has a radius of curvature of magnitude $20\text{cm}$. Which one of the following options describes best the image formed of an object of height $2\text{cm}$ placed $30\text{cm}$ from the lens? (Assume refractive index $\mu =1.5$)

In photoelectric emission process from a metal of work function $1.8\text{eV}$, the kinetic energy of most energetic electrons is $0.5\text{eV}$. The corresponding stopping potential is:

Electrons used in an electron microscope are accelerated by a voltage of $25\text{kV}$. If the voltage is increased to $100\text{kV}$, then the de-Broglie wavelength associated with the electrons would:

Light of two different frequencies whose photons have energies $1\text{eV}$ and $2.5\text{eV}$ respectively illuminate a metallic surface whose work function is $0.5\text{eV}$ successively. The ratio of maximum speeds of emitted electrons will be:

In the Davisson and Germer experiment, the velocity of electrons emitted from the electron gun can be increased by:

The half-life of a radioactive isotope $X$ is $50\text{years}$. It decays to another element $Y$ which is stable. The two elements $X$ and $Y$ were found to be in the ratio of $1:15$ in a sample of a given rock. The age of the rock was estimated to be:

Photoelectric emission occurs only when the incident light has more than a certain minimum:

Fusion reaction takes place at high temperature because:

A nucleus ${}_n^{m}X$ emits one $\alpha$ particle and two $\beta$ -particles. The resulting nucleus is:

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 $300\mu \text{A}$ produces a change in the collector current from $10\text{mA}$ to $20\text{mA}$. The current gain is:

If a small amount of antimony is added to germanium crystal:

In forward biasing of the $p$ -$n$ junction:

Symbolic representation of four logic gates are shown as:(i) OR gate AND gate NOT gate [NAND gate]Pick out which ones are for AND, NAND and NOT gates, respectively:

The total number of atomic orbitals in fourth energy level of an atom is:

The electrode potentials for ${\text{Cu}}_{(\text{aq})}^{2+}+e^{-}\to {\text{Cu}}_{(\text{aq})}^{+}$ and ${\text{Cu}}_{(\text{aq})}^{+}+e^{-}\to {\text{Cu}}_{(\text{s})}$ are $+0.15\text{V}$ and $+0.50\text{V}$ respectively. The value of $E_{{\text{Cu}}^{2+}/\text{Cu}}^{\circ }$ will be:

Mole fraction of the solute in a $1.00$ molal aqueous solution is:

By what factors does the average velocity of a gaseous molecule increase when the temperature (in Kelvin) is doubled?

A buffer solution is prepared in which the concentration of ${\text{NH}}_3$ is $0.30\text{M}$ and the concentration of ${\text{NH}}_4^{+}$ is $0.20\text{M}$. If the equilibrium constant, $K_b$ for ${\text{NH}}_3$ equals $1.8\times 10^{-5}$, what is the pH of this solution?

Two gases $A$ and $B$ having the same volume diffuse through a porous partition in $20$ and $10$ seconds respectively. The molecular mass of $A$ is $49\text{u}$. Molecular mass of $B$ will be:

Which of the following is correct option for free expansion of an ideal gas under adiabatic condition?

For the reaction ${\text{N}}_2(\text{g})+{\text{O}}_2(\text{g})\rightleftharpoons 2\text{NO}(\text{g})$, the equilibrium constant is $K_1$. The equilibrium constant is $K_2$ for the reaction $2\text{NO}(\text{g})+{\text{O}}_2(\text{g})\rightleftharpoons 2{\text{NO}}_2(\text{g})$. What is $K$ for the reaction ${\text{NO}}_2(\text{g})\rightleftharpoons \frac{1}{2}{\text{N}}_2(\text{g})+{\text{O}}_2(\text{g})$?

If $x$ is the amount of adsorbate and $m$ is the amount of adsorbent, which of the following relations is NOT related to the adsorption process?

If the enthalpy change for the transition of liquid water to steam is $30{\text{kJ mol}}^{-1}$ at $27^{\circ }\text{C}$, the entropy change for the process would be:

The van't Hoff factor $i$ for a compound which undergoes dissociation in one solvent and association in another solvent is respectively:

Standard electrode potential for ${\text{Sn}}^{4+}/{\text{Sn}}^{2+}$ couple is $+0.15\text{V}$ and that for the ${\text{Cr}}^{3+}/\text{Cr}$ couple is $-0.74\text{V}$. These two couples in their standard state are connected to make a cell. The cell potential will be:

A gaseous mixture was prepared by taking equal moles of $\text{CO}$ and ${\text{N}}_2$. If the total pressure of the mixture was found to be $1$ atmosphere, the partial pressure of nitrogen (${\text{N}}_2$) in the mixture is:

If the $E_{cell}^{\circ }$ for a given reaction has a negative value, then which of the following gives the correct relationships for the values of $\Delta G^{\circ }$ and $K_{eq}$?

The freezing point depression constant for water is $1.86^{\circ }\text{C/m}$. If $5.00\text{g}$ ${\text{Na}}_2{\text{SO}}_4$ is dissolved in $45.0\text{g}$ ${\text{H}}_2\text{O}$, the freezing point is changed by $-3.82^{\circ }\text{C}$. Calculate the van't Hoff factor for ${\text{Na}}_2{\text{SO}}_4$: (Molar mass of ${\text{Na}}_2{\text{SO}}_4=142\text{g/mol}$)

The energies $E_1$ and $E_2$ of two radiations are $25\text{eV}$ and $50\text{eV}$ respectively. The relation between their wavelengths i.e. ${\lambda }_1$ and ${\lambda }_2$ will be:

Standard electrode potential of three metals $X,Y$ and $Z$ are $-1.2\text{V},+0.5\text{V}$ and $-3.0\text{V}$ respectively. The reducing power of these metals will be:

Which one of the following statements for the order of a reaction is INCORRECT?

Enthalpy change for the reaction $2{\text{H}}_{(\text{g})}\to {\text{H}}_{2(\text{g})}$ is $-869.6\text{kJ}$. The dissociation energy of $\text{H}-\text{H}$ bond is:

If $n=6$, the correct sequence of filling of electrons will be:

Which of the following compounds has the lowest melting point?

Which of the following pairs of metals is purified by van Arkel method?

The correct order of increasing bond length of $\text{C}-\text{H}$, $\text{C}-\text{O}$, $\text{C}-\text{C}$ and $\text{C}=\text{C}$ is:

Acidified ${\text{K}}_2{\text{Cr}}_2{\text{O}}_7$ solution turns green when ${\text{Na}}_2{\text{SO}}_3$ is added to it. This is due to the formation of:

For the four successive transition elements ($\text{Cr, Mn, Fe}$ and $\text{Co}$), the stability of $+2$ oxidation state will be there in which of the following order? (At. nos. $\text{Cr}=24,\text{Mn}=25,\text{Fe}=26,\text{Co}=27$)

Which of the two ions from the list given below have the geometry that is explained by the same hybridization of orbitals: ${\text{NO}}_2^{-}$, ${\text{NO}}_3^{-}$, ${\text{NH}}_2^{-}$, ${\text{NH}}_4^{+}$, ${\text{SCN}}^{-}$?

Which of the following elements is present as the impurity to the maximum extent in the pig iron?

Which of the following is least likely to behave as a Lewis base?

Which one of the following is present as an active ingredient in bleaching powder for bleaching action?

The complex $[\text{Pt}(\text{Py})({\text{NH}}_3)\text{BrCl}]$ will have how many geometrical isomers?

Name the type of the structure of silicate in which one oxygen atom of $[{\text{SiO}}_4{]}^{4-}$ is shared?

The complexes $[\text{Co}({\text{NH}}_3{)}_6][\text{Cr}(\text{CN}{)}_6]$ and $[\text{Cr}({\text{NH}}_3{)}_6][\text{Co}(\text{CN}{)}_6]$ are the examples of which type of isomerism?

The $d$ -electron configurations of ${\text{Cr}}^{2+},{\text{Mn}}^{2+},{\text{Fe}}^{2+}$ and ${\text{Co}}^{2+}$ are $d^4,d^5,d^6$ and $d^7$ respectively. Which one of the following will exhibit minimum paramagnetic behaviour?

Of the following complex ions, which is diamagnetic in nature?

Which of the following has the minimum bond length?

The value of $\Delta H$ for the reaction ${\text{X}}_{2(\text{g})}+4{\text{Y}}_{2(\text{g})}\rightleftharpoons 2{\text{XY}}_{4(\text{g})}$ is less than zero. Formation of ${\text{XY}}_{4(\text{g})}$ will be favoured at:

Of the following which one is classified as a polyester polymer?

What is the product obtained in the following reaction: $\text{Nitrobenzene}\stackrel{{\text{Zn/NH}}_4\text{Cl}}{\to }\dots$?

In a set of reactions $m$ -bromobenzoic acid gave a product $D$. Identify the product $D$.

In Dumas' method of estimation of nitrogen $0.35\text{g}$ of an organic compound gave $55\text{mL}$ of nitrogen collected at $300\text{K}$ temperature and $715\text{mm}$ pressure. The percentage composition of nitrogen in the compound would be: (Aqueous tension at $300\text{K}=15\text{mm}$)

Which one of the following is most reactive towards electrophilic reagent?

Which one is a nucleophilic substitution reaction among the following?

Considering the state of hybridization of carbon atoms, find out the molecule among the following which is linear?

In the following reactions, the major products $A$ and $C$ are respectively:$\text{2-methylbutan-2-ol}\stackrel{{\text{H}}^{+}/\Delta }{\to }A\text{ (Major)}\stackrel{\text{HBr/Dark}}{\to }C\text{ (Major)}$

The Lassaigne's extract is boiled with conc. ${\text{HNO}}_3$ while testing for halogens. By doing so it:

The correct IUPAC name of the compound

Clemmensen reduction of a ketone is carried out in the presence of which of the following?

Which one of the following is employed as Antihistamine?

Which one of the following statements is NOT true regarding (+)-Lactose?

Which one of the following statements is NOT true?

The "Eyes" of the potato tuber are:

Organisms called Methanogens are most abundant in a:

Which one of the following has the highest number of species in nature?

Archegoniophore is present in:

Compared with the gametophytes of the bryophytes, the gametophytes of vascular plants tend to be:

The gametophyte is not an independent, free-living generation in:

Important site for formation of glycoproteins and glycolipids is:

Peptide synthesis inside a cell takes place in:

In eubacteria, a cellular component that resembles eukaryotic cell is:

Mutations can be induced with:

A collection of plants and seeds having diverse alleles of all the genes of a crop is called:

Which one of the following also acts as a catalyst in a bacterial cell?

Which one of the following statements is correct?

The correct floral formula of chilli is:

Nitrifying bacteria:

The function of leghaemoglobin in the root nodules of legumes is:

Which one of the following elements in plants is not remobilised?

A drupe develops in:

Ground tissue includes:

In land plants the guard cells differ from other epidermal cells in having:

The ovary is half inferior in flowers of:

The cork cambium, cork and secondary cortex are collectively called:

Which one of the following is wrongly matched?

Flowers are Zygomorphic in:

CAM helps the plants in:

Of the total incident solar radiation, the proportion of PAR (Photosynthetically Active Radiation) is:

A prokaryotic autotrophic nitrogen fixing symbiont is found in:

Nucellar polyembryony is reported in species of:

Filiform apparatus is a characteristic feature of:

What would be the number of chromosomes of the aleurone cells of a plant with $42$ chromosomes in its root tip cells?

Wind pollination is common in:

In which one of the following, pollination is autogamous?

Mass of living matter at a trophic level in an area at any time is called:

Which one of the following statements is wrong in case of Bhopal tragedy?

Secondary sewage treatment is mainly a:

Eutrophication is often seen in:

Large Woody Vines are more commonly found in:

Which one of the following expanded forms of the followings acronyms is correct?

Which one of the following statements is correct for secondary succession?