Official NEET UG 2008 Test

A particle of mass m is projected with velocity v making an angle of 45º with the horizontal from level ground. When the particle lands on the level ground the magnitude of the change in its momentum will be –

A long solenoid has 500 turns. When a current of 2 ampere is passed through it, the resulting magnetic flux linked with each turn of the solenoid is\( 4\times 10^{–3}\) Wb. The self-inductance of the solenoid is –

A particle of mass m, charge Q and kinetic energy T enters a transverse uniform magnetic field of induction \(\vec {B}\) . After 3 seconds the kinetic energy of the particle will be –

The distance travelled by a particle starting from rest and moving with an acceleration\(\frac{4}{3} ms^{–2}\), in the third second is –

A particle of mass 1 mg has the same wavelength as an electron moving with a velocity of\( 3 \times 10^{6}] ms^{–1}.\)The velocity of the particle is :(mass of electron =\( 9.1 \times 10^{–31}\)kg)

Sand is being dropped on a conveyor belt at the rate of M kg/s. The force necessary to keep the belt moving with a constant velocity of v m/s will be –

A thin conducting ring of radius R is given a charge + Q. The electric field at the centre O of the ring due to the charge on the part AKB of the ring is E. The electric field at the centre due to the charge on the part ACDB of the ring is –

Two nuclei have their mass numbers in the ratio of 1 : 3. The ratio of their nuclear densities would be –

If M\( (A, Z), M_{p}\) and Mn denote the masses of the nucleus X  , proton and neutron respectively in units of u \((1 u = 931.5 MeV/C^{2})\) and BE represents its bonding energy in MeV, then –

A particle moves in a straight line with a constant acceleration. It changes its velocity from 10 \(ms^{–1} to 20 ms^{–1}\) while passing through a distance 135 m in t second. The value of t is –

A particle shows distance-time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point :

An electric kettle takes 4 A current at 220 V. How much time will it take to boil 1 kg of water from temperature\(20^{º}C ?\) The temperature of boiling water is 100ºC.

In the phenomenon of electric discharge through gases at low pressure, the coloured glow in the tube appears as a result of –

The circuit is equivalent to –

If the error in the measurement of radius of a sphere is 2 % then the error in the determination of volume of the sphere will be –

A thin rod of length L and mass M is bent at its midpoint into two halves so that the angle between them is \(90^{º}\). The moment of inertia of the bent rod about an axis passing through the bending point and perpendicular to the plane defined by the two halves of the rod is –

A p-n photodiode is made of a material with a band gap of 2.0 eV. The minimum frequency of the radiation that can be absorbed by the material is nearly :

Two periodic waves of intensities I1 and I2 pass through a region at the same time in the same direction. the sum of the maximum and minimum intensities is –

If Q, E and W denote respectively the heat added, change in internal energy and the work done by a closed cycle process, then :

In the circuit shown, the current through the\( 4\Omega\) resistor is 1 amp when the points P and M are connected to a D.C. voltage source. The potential difference between the points M and N is –

On a new scale of temperature (which is linear) and called the W scale, the freezing and boiling points of water are\( 39^{º}\) W and\( 239^{º}\) W respectively. What will be the temperature on the new scale, corresponding to a temperature of \(39^{º}\)C on the Celsius scale ?

The wave described by \(y = 0.25 sin (10\pi x – 2 \pi f),\) where x and y are in metres and t in seconds, is a wave travelling along the –

The electric potential at a point in free space due to a charge \(Q coulomb is Q \times 10^{11}\) volts. The electric field at that point is –

The velocity of electromagnetic radiation in a medium of permittivity\( \varepsilon _{0}\) and permeability\( \mu_{0}\) is given by :

Two points are located at a distance of 10 m and 15 m from the source of oscillation. The period of oscillation is 0.05 sec and the velocity of the wave is 300 m/s. What is the phase difference between the oscillations of two points ?

Two simple Harmonic Motions of angular frequency 100 and 1000 rad\( s^{–1}\) have the same displacement amplitude. The ratio of their maximum accelerations is –

If the lattice parameter for a crystalline structure is 3.6 , then the atomic radius in fcc crystal is –

Water falls from a height of 60 m at the rate of15 kg/s to operate a turbine. The losses due to frictional forces are 10 % of energy. How much power is generated by the turbine ? \((g = 10 m/s^{2})\)

The energy required to charge a parallel plate condenser of plate separation d and plate area of cross-section A such that the uniform electric field between the plates is E, is :

A boy is trying to start a fire by focusing Sunlight on a piece of paper using an equiconvex lens of focal length 10 cm. The diameter of the Sun is\( 1.39 \times 10^{9}\) m and its mean distance from the earth is\( 1.5 \times 10^{11} m\). What is the diameter of the Sun’s image on the paper ?

A closed loop PQRS carrying a current is placed in a uniform magnetic field. If the magnetic forces on segments PS, SR and RQ are\( F_{1}, F_{2} and F_3\) respectively and are in the plane of the paper and along the directions shown, the forceon the segment QP is :

A wire of a certain material is stretched slowly by ten percent. Its new resistance and specific resistance become respectively –

Curie temperature is the temperature above which –

Which two of the following five physical parameters have the same dimensions ?

(a) Energy density

(b) Refractive index

(c) Dielectric constant

(d) Young’s modulus

(e) Magnetic field

The ground state energy of hydrogen atom is –13.6 eV. When its electron is in the first excited state, its excitation energy is –

The voltage gain of an amplifier with 9 % negative feedback is 10. The voltage gain without feedback will be –

A galvanometer of resistance\( 50 \Omega\) is connected to a battery of 3V along with a resistance of\( 2950 \Omega\) in series. A full scale deflection of 30 divisions is obtained in the galvanometer. In order to reduce this deflection to 20 divisions, the resistance in series should be –

A shell of mass 200 g is ejected from a gun of mass 4 kg by an explosion that generates 1.05 kJ of energy. The initial velocity of the shell is –

In an A.C. circuit the emf (e) and the current (i) at any instant are given respectively by:

\(e =E_{0} sin \omega{t}\)

\(i = I_{0} sin (\omega{t}- \phi)\)

Three forces acting on a body are shown in the figure. To have the resultant force only along the y-direction, the magnitude of the minimum additional force needed is –

A current of 3 amp. flows through the\( 2\Omega\) resistor shown in the circuit. The power dissipated in the \( 5\Omega\) resistor is –

Two radioactive materials\( X_{1} and X_{2}\) have decay constants\( 5\lambda and \lambda\) respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of \(X_{1}\) to that of\( X_{2}\) will be \(\frac{1}{e}\) after a time –

The work function of a surface of a photosensitive material is 6.2 eV. The wavelength of the incident radiation for which the stopping potential is 5 V lies in the :

A point performs simple harmonic oscillation of period T and the equation of motion is given by x = a sin \((\omega t + \pi/6)\). After the elapse of what fraction of the time period the velocity of the point will be equal to half of its maximum velocity ?

Two thin lenses of focal lengths f1 and f2 are in contact and coaxial. The power of the combination is –

At \(10^{º}C\) the value of the density of a fixed mass of an ideal gas divided by its pressure is x. At\( 110^{º}\)C this ratio is –

A roller coaster is designed such that riders experience “weightlessness” as they go round the top of a hill whose radius of curvature is 20m. The speed of the car at the top of the hill is between –

A circular disc of radius 0.2 metre is placed in a uniform magnetic field of induction\(\frac{1}{\pi} (\frac{Wb}{m^{2}})\) in such a way that its axis makes an angle of\( 60^{º}\) with\( \vec {B}.\) The magnetic flux linked with the disc is –

The ratio of the radii of gyration of a circular disc to that of a circular ring, each of same mass and radius around their respective axes is –

A cell can be balanced against 110 cm and 100 cm of potentiometer wire, respectively with and without being short circuited through a resistance of \(10 \Omega\). Its internal resistance is –

Which one of the following arrangements does not give the correct picture of the trends indicated against it ?

If a gas expands at constant temperature, it indicates that :

The dissociation equilibrium of a gas AB2 can be represented as :\(2AB_{2}(g) \rightleftharpoons 2 AB(g) + B_{2}(g)\) The degree of dissociation is ‘x’ and is small compared to 1. The expression relating the degree of dissociation (x) with equilibrium constant \(K_{p}\) and total pressure P is –

The bromination of acetone that occurs in acid solution is represented by this equation. \(CH_{3}COCH_{3}(aq.) + Br_{2}(aq.) \to CH_{3}COCH_{2}Br(aq.) + H^{+} (aq.) + Br^{-} (aq.)\) These kinetic data were obtained from given reaction concentrations.

Initial rate, disappearance of\( Br_{2}, Ms^{–1}\)

\(5.7 \times 10^{-5}\)

\(5.7 \times 10^{-5}\)

\(1.2 \times 10^{-4}\)

\(3.1 \times 10^{-4}\)

Based on these data, the rate equation is :

If the concentration of OH– ions in the reaction,\(Fe(OH)_{3}(s) \rightleftharpoons Fe^{3+} (aq.) + 3OH^{-} (aq.) is decreased by[latex]\frac{1}{4}\) times, then equilibrium concentration of\( Fe^{3+}\) will increase by –

What volume of oxygen gas \((O_{2})\) measured at \(0^{º}\)C and 1 atm, is needed to burn completely one litre, of propane gas\( (C_{3}H_{8})\) measured under the same conditions ?

Equal volumes of three acid solutions of pH 3, 4 and 5 are mixed in a vessel. What will be the \(H^{+}\) ion concentration in the mixture ?

The relative reactivities of acyl compounds towards nucleophilic substitution are in the order of –

In DNA, the complementary bases are –

Base strength of –

(i)\( H_{3} C \Theta ^{CH}_{2}\)    (ii)\( H_{2} =\Theta ^{CH}\) and

(iii)\( H – C \equiv \Theta C\) is in the order of –

Equimolar solutions of the following were prepared in water separately. Which one of the solutions will record the highest pH ?

The sequence of ionic mobility in aqueous solutions is –

If uncertainty in position and momentum are equal, then uncertainty in velocity is –

How many stereoisomers does this molecule have ?

\(CH_{3}CH = CHCH_{2}CHBrCH_{3}\)

On the basis of the following\( E^{º}\) values, the strongest oxidizing agent is :

\([Fe(CN)_{6}]^{4-} \to [Fe(CN)_{6}]^{3-} + e^{-1} ,E^{º} = -0.35 V\)

\(Fe^{2+} \to Fe^{3+} + e^{-1}, E^{º} = – 0.77 V\)

The correct order of decreasing second ionization enthalpy of Ti = 22, V = 23, Cr = 24 and Mn = 25 is –

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

Four diatomic species are listed below in different sequences. Which of these presents the correct order of their increasing bond order ?

How many moles of lead (II) chloride will be formed from a reaction between 6.5 g of PbO and 3.2 g of HCl ?

The stability of carbanions in the following :

is in the order of :

Acetophenone when reacted with a base,\(C_{2}H_{5}ONa\), yields a stable compound which has the structure :

Volume occupied by one molecule of water (density = 1\(g cm^{–3})\) is :

Bond dissociation enthalpy of \(H_{2}, Cl_{2}\) and HCl are 434, 242 and 431 kJ\( mol^{–1}\) respectively. Enthalpy of formation of HCl is –