NEET 2010 PYQ Mock Test

The dimension of $\frac{1}{2}{ϵ}_0{E}^2$, where ${ϵ}_0$ is permittivity of free space and $E$ is electric field, is:

A particle moves a distance $x$ in time $t$ according to equation $x=(t+5{)}^{-1}$. The acceleration of the particle is proportional to:

Six vectors, $\vec{a}$ through $\vec{f}$ have the magnitudes and directions indicated in the figure. Which of the following statements is true?

A particle has initial velocity $(3\hat{i}+4\hat{j})$ and has acceleration $(0.4\hat{i}+0.3\hat{j})$. Its speed after $10\text{ s}$ is:

A block of mass $m$ is in contact with the cart $C$ as shown in the figure. The coefficient of static friction between the block and the cart is $\mu$. The acceleration $\alpha$ of the cart that will prevent the block from falling satisfies:

A man of $50\text{ kg}$ mass is standing in a gravity free space at a height of $10\text{ m}$ above the floor. He throws a stone of $0.5\text{ kg}$ mass downwards with a speed $2\text{ m/s}$. When the stone reaches the floor, the distance of the man above the floor will be:

An engine pumps water through a hose pipe. Water passes through the pipe and leaves it with a velocity of $2\text{ m/s}$. The mass per unit length of water in the pipe is $100\text{ kg/m}$. What is the power of the engine?

A ball moving with velocity $2\text{ m/s}$ collides head on with another stationary ball of double the mass. If the coefficient of restitution is $0.5$ then their velocities (in $\text{m/s}$) after collision will be:

A gramophone record is revolving with an angular velocity $\omega$. A coin is placed at a distance $r$ from the centre of the record. The static coefficient of friction is $\mu$. The coin will revolve with the record if:

A circular disk of moment of inertia $I_t$ is rotating in a horizontal plane, about its symmetry axis, with a constant angular speed ${\omega }_i$. Another disk of moment of inertia $I_b$ is dropped coaxially onto the rotating disk. Initially the second disk has zero angular speed. Eventually both the disks rotate with a constant angular speed ${\omega }_f$. The energy lost by the initially rotating disc to friction is:

Two particles which are initially at rest, move towards each other under the action of their internal attraction. If their speeds are $v$ and $2v$ at any instant, then the speed of centre of mass of the system will be:

The radii of circular orbits of two satellites $A$ and $B$ of the earth, are $4R$ and $R$, respectively. If the speed of satellite $A$ is $3V$, then the speed of satellite $B$ will be:

A particle of mass $M$ is situated at the centre of a spherical shell of same mass and radius $a$. The gravitational potential at a point situated at $\frac{a}{2}$ distance from the centre, will be:

A ball is dropped from a high rise platform at $t=0$ starting from rest. After $6\text{ seconds}$ another ball is thrown downwards from the same platform with a speed $v$. The two balls meet at $t=18\text{ s}$. What is the value of $v$? (Take $g=10{\text{ m/s}}^2$)

A cylindrical metallic rod in thermal contact with two reservoirs of heat at its two ends conducts an amount of heat $Q$ in time $t$. The metallic rod is melted and the material is formed into a rod of half the radius of the original rod. What is the amount of heat conducted by the new rod, when placed in thermal contact with the two reservoirs in time $t$?

The total radiant energy per unit area, normal to the direction of incidence, received at a distance $R$ from the centre of a star of radius $r$, whose outer surface radiates as a black body at a temperature $T\text{ K}$ is given by:

If $\Delta U$ and $\Delta W$ represent the increase in internal energy and work done by the system respectively in a thermodynamical process, which of the following is true?

The displacement of a particle along the x-axis is given by $x=a{\sin }^2\omega t$. The motion of the particle corresponds to:

The period of oscillation of a mass $M$ suspended from a spring of negligible mass is $T$. If along with it another mass $M$ is also suspended, the period of oscillation will now be:

A transverse wave is represented by $y=A\sin (\omega t-kx)$. For what value of the wavelength is the wave velocity equal to the maximum particle velocity?

A tuning fork of frequency $512\text{ Hz}$ makes $4\text{ beats per second}$ with the vibrating string of a piano. The beat frequency decreases to $2\text{ beats per sec}$ when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was:

Which of the following statements is false for the properties of electromagnetic waves?

A lens having focal length $f$ and aperture of diameter $d$ forms an image of intensity $I$. Aperture of diameter $d/2$ in central region of lens is covered by a black paper. Focal length of lens and intensity of image now will be respectively:

A ray of light travelling in a transparent medium of refractive index $\mu$, falls on a surface separating the medium from air at an angle of incidence of $45^{\circ }$. For which of the following values of $\mu$ the ray can undergo total internal reflection?

Two positive ions, each carrying a charge $q$, are separated by a distance $d$. If $F$ is the force of repulsion between the ions, the number of electrons missing from each ion will be ($e$ being the charge on an electron):

A square surface of side $L\text{ meter}$ in the plane of the paper is placed in a uniform electric field $E\text{ (volt/m)}$ acting along the same plane at an angle $\theta$ with the horizontal side of the square as shown in figure. The electric flux linked to the surface, in units of volt-m, is:

A series combination of $n_1$ capacitors, each of value $C_1$, is charged by a source of potential difference $4V$. When another parallel combination of $n_2$ capacitors, each of value $C_2$, is charged by a source of potential difference $V$, it has the same (total) energy stored in it, as the first combination has. The value of $C_2$, in terms of $C_1$, is then:

A potentiometer circuit is set up as shown. The potential gradient, across the potentiometer wire, is $k\text{ volt/cm}$ and the ammeter reads $1.0\text{ A}$ when two way key is switched off. The balance points, when the key between the terminals (i) 1 and 2 (ii) 1 and 3, is plugged in, are found to be at lengths $l_1\text{ cm}$ and $l_2\text{ cm}$ respectively. The magnitudes, of the resistors $R$ and $X$, in ohms, are:

A galvanometer has a coil of resistance $100\text{ ohm}$ and gives a full scale deflection for $30\text{ mA}$ current. If it is to work as a voltmeter of $30\text{ volt}$ range, the resistance required to be added will be:

Consider the following two statements:
(A) Kirchhoff's junction law follows from the conservation of charge.
(B) Kirchhoff's loop law follows from the conservation of energy.
Which of the following is correct?

In producing chlorine by electrolysis $100\text{ kW}$ power at $125\text{ V}$ is being consumed. How much chlorine per minute is liberated (E.C.E. of chlorine is $0.367\times 10^{-6}\text{ kg/C}$)?

A square current carrying loop is suspended in a uniform magnetic field acting in the plane of the loop. If the force on one arm of the loop is $\vec{F}$, the net force on the remaining three arms of the loop is:

A thin ring of radius $R\text{ meter}$ has charge $q\text{ coulomb}$ uniformly spread on it. The ring rotates about its axis with a constant frequency of $f\text{ revolutions/s}$. The value of magnetic induction in ${\text{Wb/m}}^2$ at the centre of the ring is:

Electromagnets are made of soft iron because soft iron has:

A vibration magnetometer placed in magnetic meridian has a small bar magnet. The magnet executes oscillations with a time period of $2\text{ sec}$ in earth's horizontal magnetic field of $24\text{ microtesla}$. When a horizontal field of $18\text{ microtesla}$ is produced opposite to the earth's field by placing a current carrying wire, the new time period of magnet will be:

A conducting circular loop is placed in a uniform magnetic field, $B=0.025\text{ T}$ with its plane perpendicular to the loop. The radius of the loop is made to shrink at a constant rate of $1{\text{ mms}}^{-1}$. The induced emf when the radius is $2\text{ cm}$ is:

In the given circuit the reading of voltmeter $V_1$ and $V_2$ are $300\text{ volts}$ each. The reading of the voltmeter $V_3$ and ammeter $A$ are respectively:

A $220\text{-volt}$ input is supplied to a transformer. The output circuit draws a current of $2.0\text{ ampere}$ at $440\text{ volts}$. If the efficiency of the transformer is $80\%$, the current drawn by the primary windings of the transformer is:

A source $S_1$ is producing $10^{15}\text{ photons per second}$ of wavelength $5000\text{ A˚}$. Another source $S_2$ is producing $1.02\times 10^{15}\text{ photons per second}$ of wavelength $5100\text{ A˚}$. Then (power of $S_2$)/(power of $S_1$) is equal to:

A beam of cathode rays is subjected to crossed Electric ($E$) and Magnetic field ($B$). The fields are adjusted such that the beam is not deflected. The specific charge ($e/m$) of the cathode rays is given by (where $V$ is the potential difference between cathode and anode):

The potential difference that must be applied to stop the fastest photo electrons emitted by a nickel surface, having work function $5.01\text{ eV}$, when ultraviolet light of $200\text{ nm}$ falls on it, must be:

The activity of a radioactive sample is measured as $N_0\text{ counts per minute}$ at $t=0$ and $N_0/e\text{ counts per minute}$ at $t=5\text{ minutes}$. The time (in minutes) at which the activity reduces to half its value is:

The energy of a hydrogen atom in the ground state is $-13.6\text{ eV}$. The energy of a ${\text{He}}^{+}$ ion in the first excited state will be:

The mass of a ${}_3^7\text{Li}$ nucleus is $0.042\text{ u}$ less than the sum of the masses of all its nucleons. The binding energy per nucleon of ${}_3^7\text{Li}$ nucleus is nearly:

An alpha nucleus of energy $\frac{1}{2}m{v}^2$ bombards a heavy nuclear target of charge $Ze$. Then the distance of closest approach for the alpha nucleus will be proportional to:

A common emitter amplifier has a voltage gain of $50$, an input impedance of $100\Omega$ and an output impedance of $200\Omega$. The power gain of the amplifier is:

Which one of the following bonds produces a solid that reflects light in the visible region and whose electrical conductivity decreases with temperature and has high melting point?

The device that can act as a complete electronic circuit is:

Which of the following statements is False?

To get an output $Y=1$ from the circuit shown below, the input must be ($A,B,C$):

An increase in equivalent conductance of a strong electrolyte with dilution is mainly due to:

$25.3\text{g}$ of sodium carbonate, ${\text{Na}}_2{\text{CO}}_3$ is dissolved in enough water to make $250\text{mL}$ of solution. If sodium carbonate dissociates completely, molar concentration of sodium ion, ${\text{Na}}^{+}$ and carbonate ions, ${\text{CO}}_3^{2-}$ are respectively: (Molar mass of ${\text{Na}}_2{\text{CO}}_3=106{\text{g mol}}^{-1}$)

Which property of the alkaline earth metals increases with their atomic number?

Which of the following pairs has the same size?

In a buffer solution containing equal concentration of ${\text{B}}^{-}$ and $\text{HB}$, the $K_b$ for ${\text{B}}^{-}$ is $10^{-10}$. The $\text{pH}$ of the buffer solution is:

An aqueous solution is $1.00\text{ molal}$ in $\text{KI}$. Which change will cause the vapour pressure of the solution to increase?

What is $[{\text{H}}^{+}]$ in $\text{mol/L}$ of a solution that is $0.20\text{M}$ in ${\text{CH}}_3\text{COONa}$ and $0.10\text{M}$ in ${\text{CH}}_3\text{COOH}$? ($K_a$ for ${\text{CH}}_3\text{COOH}=1.8\times 10^{-5}$)

For the reaction $N_2{O}_5(g)\to 2N{O}_2(g)+\frac{1}{2}{O}_2(g)$ the value of rate of disappearance of $N_2{O}_5$ is given as $6.25\times 10^{-3}{\text{mol L}}^{-1}{\text{s}}^{-1}$. The rate of formation of $N{O}_2$ and $O_2$ is given respectively as:

Standard entropies of $X_2,Y_2$ and $X{Y}_3$ are $60,40$ and $50{\text{JK}}^{-1}{\text{mol}}^{-1}$ respectively. For the reaction $\frac{1}{2}{X}_2+\frac{3}{2}{Y}_2\rightleftharpoons X{Y}_3,\Delta H=-30\text{kJ}$ to be at equilibrium, the temperature should be:

During the kinetic study of the reaction $2A+B\to C+D$, the following results were obtained:| Run | $[A]$ (M) | $[B]$ (M) | Initial Rate (${\text{mol L}}^{-1}{\text{min}}^{-1}$) ||---|---|---|---|| I | $0.1$ | $0.1$ | $6.0\times 10^{-3}$ || II | $0.3$ | $0.2$ | $7.2\times 10^{-2}$ || III | $0.3$ | $0.4$ | $2.88\times 10^{-1}$ || IV | $0.4$ | $0.1$ | $2.40\times 10^{-2}$ |Based on the above data which one of the following is correct?

For the reduction of silver ions with copper metal, the standard cell potential was found to be $+0.46\text{V}$ at $25^{\circ }\text{C}$. The value of standard Gibbs energy, $\Delta G^{\circ }$ will be ($F=96500{\text{C mol}}^{-1}$):

Which one of the following species does not exist under normal conditions?

$\text{AB}$ crystallizes in a body centred cubic lattice with edge length '$a$ ' equal to $387\text{pm}$. The distance between two oppositely charged ions in the lattice is:

For an endothermic reaction, energy of activation is $E_a$ and enthalpy of reaction is $\Delta H$ (both of these in $\text{kJ/mol}$). The minimum value of $E_a$ will be:

Which one of the following ions has electronic configuration $[\text{Ar}]3d^6$?

In which of the following equilibrium $K_c$ and $K_p$ are not equal?

If $\text{pH}$ of a saturated solution of ${\text{Ba(OH)}}_2$ is $12$, the value of its $K_{sp}$ is:

Which of the following ions will exhibit colour in aqueous solutions?

The correct order of increasing bond angles in the following species is:

Which one of the following compounds is a peroxide?

In which of the following pairs of molecules/ions, the central atoms have $s{p}^2$ hybridization?

The correct order of the decreasing ionic radii among the following isoelectronic species is:

The number of atoms in $0.1\text{mol}$ of a triatomic gas is ($N_A=6.02\times 10^{23}{\text{mol}}^{-1}$):

Which of the following complex ion is not expected to absorb visible light?

Which of the following alkaline earth metal sulphates has hydration enthalpy higher than the lattice enthalpy?

The existence of two different coloured complexes with the composition of $[{\text{Co(NH}}_3{)}_4{\text{Cl}}_2{]}^{+}$ is due to:

Oxidation states of $\text{P}$ in ${\text{H}}_4{\text{P}}_2{\text{O}}_5,{\text{H}}_4{\text{P}}_2{\text{O}}_6,{\text{H}}_4{\text{P}}_2{\text{O}}_7$, are respectively:

The tendency of ${\text{BF}}_3,{\text{BCl}}_3$ and ${\text{BBr}}_3$ to behave as Lewis acid decreases in the sequence:

Which of the following represents the correct order of increasing electron gain enthalpy with negative sign for the elements $\text{O, S, F and Cl}$?

Crystal field stabilization energy for high spin $d^4$ octahedral complex is:

In which one of the following species the central atom has the type of hybridisation which is not the same as that present in the other three?

Which one of the following molecular hydrides acts as a Lewis acid?

Aniline in a set of the following reactions yielded a coloured product Y: The structure of Y would be:

The reaction of toluene with ${\text{Cl}}_2$ in presence of ${\text{FeCl}}_3$ gives $X$ and reaction in presence of light gives $Y$. Thus, $X$ and $Y$ are:

Liquid hydrocarbons can be converted to a mixture of gaseous hydrocarbons by:

Which one of the following is employed as a Tranquilizer drug?

Which one of the following does not exhibit the phenomenon of mutarotation?

Which of the following structures represents Neoprene polymer?

In a set of reactions, ethyl benzene yielded a product D: would be:

Which one is most reactive towards $S_{N}1$ reaction?

Which one is most reactive towards electrophilic reagent?

Which one of the following compounds has the most acidic nature?

Given are cyclohexanol (I), acetic acid (II), 2, 4, 6-trinitrophenol (III) and phenol (IV). In these the order of decreasing acidic character will be:

Which of the following statements about primary amines is ‘False’?

Acetamide is treated with the following reagents separately. Which one of these would yield methyl amine?

Which of the following reactions will not result in the formation of carbon-carbon bonds?

In the following, the most stable conformation of n-butane is:

The correct order of increasing reactivity of $\text{C-X}$ bond towards nucleophile in the following compound is:

Among the given compounds, the most susceptible to nucleophilic attack at the carbonyl group is:

A solution of sucrose (molar mass $=342{\text{g mol}}^{-1}$) has been prepared by dissolving $68.5\text{g}$ of sucrose in $1000\text{g}$ of water. The freezing point of the solution obtained will be ($K_f$ for water $=1.86{\text{K kg mol}}^{-1}$):

Virus envelope is known as:

Some hyperthermophilic organisms that grow in highly acidic ($\text{pH }2$) habitats belong to the two groups:

Infectious proteins are present in:

Male and female gametophytes are independent and free-living in:

Single-celled eukaryotes are included in:

One example of animals having a single opening to the outside that serves both as mouth as well as anus is:

Which one of the following statements about all the four of Spongilla, Leech, Dolphin and Penguin is correct?

Which one of the following kinds of animals are triploblastic?

Which one of the following statements about certain given animals is correct?

The plasma membrane consists mainly of:

Which one of the following structures between two adjacent cells is an effective transport pathway?

Which one of the following has its own $\text{DNA}$?

The main arena of various types of activities of a cell is:

During mitosis, $\text{ER}$ and nucleolus begin to disappear at:

Algae have cell walls made up of:

Membrane-bound organelles are absent in: