# Solved papers for CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2002

### done CET - Karnataka Engineering Solved Paper-2002

• question_answer1) A ray of light travels from an optically denser to a rarer medium. The critical angle for the two media is C. The maximum possible deviation of the ray will be :

A) $2C$

B) $\frac{\pi }{2}-C$

C) $\pi -C$

D) $\pi -2C$

• question_answer2) When one of the slits of Young's experiment is covered with a transparent sheet of thickness 4.8 mm, the central shifts to a position originally occupies by the 30th bright fringe. What should be the thickness of the sheet if the central fringe has to shift to the position occupied by 20th bright fringe?

A) $1.6\,mm$

B) $3.8\,mm$

C) $3.2\,mm$

D) $7.6\,mm$

• question_answer3) Light passes successively through two polarimeter tubes each of length 0.29 m. The first tube contains dextro rotatory solution of concentration$60\,kg\,{{m}^{-3}}$and specific rotation 0.01 rad${{m}^{2}}\,k{{g}^{-1}}.$The second tube contains laevo rotatory solution of concentration $30\,kg\,{{m}^{-5}}$and specific rotation 0$0.02\,$rad ${{m}^{2}}k{{g}^{-1}}.$The net rotation produced is:

A) ${{0}^{o}}$

B) ${{15}^{o}}$

C) ${{10}^{o}}$

D) ${{20}^{o}}$

• question_answer4) ${{\upsilon }_{O}}$and${{\upsilon }_{E}}$represent the velocities, ${{\mu }_{O}}$and ${{\mu }_{E}}$he the refractive indices of ordinary and extraordinary rays for a double refracting crystal. Then:

A) ${{\upsilon }_{O}}\le {{\mu }_{O}}\le {{\mu }_{E}},$if the crystal is quartz

B) ${{\upsilon }_{O}}\ge {{\upsilon }_{E}},{{\mu }_{O}}\le {{\mu }_{E}},$if the crystal is calcite

C) ${{\upsilon }_{o}}\ge {{\upsilon }_{E}},{{\mu }_{o}}\ge {{\mu }_{E}},$if the crystal is quartz

D) ${{\upsilon }_{1}}\le {{\upsilon }_{E}},{{\mu }_{o}}\ge {{\mu }_{E}},$if the crystal is calcite.

• question_answer5) A racing car moving towards a cliff, sounds its horn. The driver observes that the sound reflected from the cliff has a pitch one octave higher than the actual sound of the horn. If v is the velocity of sound, then the velocity of the car is:

A) $\upsilon /2$

B) $\upsilon /\sqrt{2}$

C) $\upsilon /4$

D) $\upsilon /3$

• question_answer6) The de-Broglie wavelength of an electron in the first Bohr orbit is:

A) equal to half the circumference of the first orbit

B) equal to one fourth the circumference of the first orbit

C) equal to the circumference of the first orbit

D) equal to twice the circumference of the first orbit

• question_answer7) Out of the following statements which is not true?

A) Infrared radiations arise due to minor electron transitions in atoms.

B) Infrared radiations are used for long distance photography.

C) Sun is the natural source of infrared radiation.

D) Infrared radiations are detected by using a bolometer.

• question_answer8) In nuclear fission the percentage of mass converted into energy is about:

A) $0.01%$

B) $10%$

C) $1%$

D) $0.1%$

• question_answer9) If ${{l}_{1}},{{l}_{2}},{{l}_{3}},$are the lengths of the emitter, base and collector of a transistor, then:

A) ${{l}_{3}}<{{l}_{2}}<{{l}_{1}}$

B) ${{l}_{1}}={{l}_{2}}={{l}_{3}}$

C) ${{l}_{3}}<{{l}_{1}}<{{l}_{2}}$

D) (d ${{l}_{3}}<{{l}_{1}}<{{l}_{2}}$

• question_answer10) When the conductivity of a semiconductor is only due to breaking of covalent bonds, the semiconductor is called:

A) intrinsic

B) extrinsic

C) p-type

D) n-type

• question_answer11) A very large number of balls are thrown vertically upwards in quick successions in such a way that the next ball is thrown when the previous one is at the maximum height. If the maximum height is 5 m, the number of balls thrown per minute is: (take$g=10m/{{s}^{2}}$)

A) 80

B) 120

C) 40

D) 60

• question_answer12) The light reflected by a plane mirror may form a real image:

A) if the rays incident on the mirror are converging

B) if the rays incident on the mirror are diverging

C) under no circumstances

D) if the object is placed very close to the mirror.

• question_answer13) A convex is made up of three different materials as shown in the figure. For a point object places on its axis, the number of images formed are:

A) 5

B) 1

C) 3

D) 4

• question_answer14) Light appears to travel in straight lines because:

A) light consists of very small particles

B) the frequency of light is very small

C) the velocity of light is different for different colours

D) the wavelength of light is very small.

• question_answer15) In Young's double slit experiment, the central bright fringe can be identified:

A) as it a narrower than other bright fringes

B) by using white light instead of monochromatic light

C) as it has a greater intensity than other bright fringes

D) as it is wider than other bright fringes.

• question_answer16) A railway engine whistling at a constant frequency moves with a constant speed. It goes past a stationary observer beside the railway track. Which of the following graphs best represent the variation of frequency of the sound n heard by the observer with the time t?

A)

B)

C)

D)

• question_answer17) The tension of a stretched string is increased by 69%. In order to keep its frequency of vibration constant, its length must be increased by:

A) $30%$

B) $~20%$

C) $~69%$

D) $\sqrt{69%}$

• question_answer18) Under the same conditions of temperature and pressure, the velocity of sound in oxygen and hydrogen are ${{\upsilon }_{O}}$and $\upsilon H.$Then:

A) ${{\upsilon }_{O}}=4{{\upsilon }_{H}}$

B) ${{\upsilon }_{H}}=4{{\upsilon }_{O}}$

C) ${{\upsilon }_{O}}={{\upsilon }_{H}}$

D) ${{\upsilon }_{H}}=16{{\upsilon }_{O}}$

• question_answer19) small drops of mercury, each of radius r and charge q coalesce to form a big drop. The ratio of the surface density of charge of each small drop with of the big drop is:

A) 64 : 1

B) 1 : 64

C) 1 : 4

D) 4 : 1

• question_answer20) Two capacitors of capacitances $\text{3}\,\text{ }\!\!\mu\!\!\text{ F}$and $6\,\text{ }\!\!\mu\!\!\text{ F}$are charged to a potential of 12 V each. They are now connected to each other, with the positive plate to each joined to the negative plate to the other. The potential difference across each will be:

A) 4V

B) 6V

C) zero

D) 3 V

• question_answer21) The resultant of two forces, one double the other in magnitude, is perpendicular to the smaller of the two forces. The angle between the two forces is:

A) ${{120}^{o}}$

B) $~{{60}^{o}}$

C) ${{90}^{o}}$

D) ${{150}^{o}}$

• question_answer22) The load versus elongation graph for four wires of the same meterials is shown in the figure. The thinnest wire is represented by the line:

A) OC

B) OD

C) OA

D) OB

• question_answer23) One kilogram of ice at $\text{0}{{\,}^{\text{o}}}\text{C}$is mixed with one kilogram of water at$\text{80}{{\,}^{\text{o}}}\text{C}\text{.}$The final temperature of the mixture is (take: specific heat of water $=4200\,J\,k{{g}^{-1}}\,{{K}^{-1}},$ latent heat of ice$=336\,kJ\,k{{g}^{-1}}$).

A) $40{{\,}^{o}}C$

B) $~60{{\,}^{o}}C$

C) $~0{{\,}^{o}}C$

D) $~50{{\,}^{o}}C$

• question_answer24) A Carnot's engine is made to work between $200{{\,}^{o}}C$and$0{{\,}^{o}}C$first and then between $0{{\,}^{o}}C$and $-200{{\,}^{o}}C.$The ratio of efficiencies of the engine in the two cases is:

A) $1:1.73$

B) $1.73:1$

C) $1:2$

D) $1:1$

• question_answer25) An object is placed 12 cm to the left of a converging lens of focal length 8 cm. Another converging lens of 6 cm focal length is placed at a distance of 30 cm. to the right of the first lens. The second lens will produce:

A) virtual enlarged image

B) no image

C) a real inverted image

D) a real enlarged image

• question_answer26) The resistance of an incandescent lamp is:

A) smaller when switched on

B) greater when switched off

C) the same whether it is switch off or switch on

D) greater when switched on

• question_answer27) A superconductor exhibits perfect:

A) ferromagnetism

B) ferrimagnetism

C) diamagnetism

D) paramagnetism

• question_answer28) A magnet is dropped down an infinitely long vertical copper tube. Then:

A) the magnet moves with continuously decreasing velocity and ultimately comes to rest

B) the magnet moves with continuously increasing velocity and ultimately acquires a constant terminal velocity

C) the magnet moves with continuously increasing velocity and acceleration

D) the magnet moves with continuously increasing velocity but constant acceleration.

• question_answer29) Whenever a hydrogen atom emits a photon in the Balmer series, it:

A) may emit another photon in the Paschen series

B) need not emit any more photon

C) may emit another photon in the Balmer series

D) must emit another photon in the Lyman series.

A) Rutherford

B) Roentgen

C) Becqueral

D) Curie.

• question_answer31) An ammeter and a voltmeter are joined in series to a cell. Their readings are A and V respectively. If a resistance is now joined in parallel with the voltmeter, then:

A) A will decrease, V will increase

B) A will increase, V will decrease

C) both A and V will increase

D) both A and V will increase

• question_answer32) If each of the resistance of the network shown in figure is R, the equivalent resistance between A and B is:

A) 3R

B) 5R

C) R/2

D) R

• question_answer33) A cell supplies a current of 0.9 A through a $2\Omega$resistor and a current of 0-3 A through a $7\Omega$resistor. The internal resistance of the cell is:

A) $1.2\,\Omega$

B) $2.0\,\,\Omega$

C) $0.5\,\,\Omega$

D) $1.0\,\,\Omega$

• question_answer34) A wire carrying current$i$is shaped as shown. Section AB is a quarter circle of radius r. The magnetic field is directed:

A) perpendicular to the plane of the paper and directed into the paper

B) at an angle $\pi /4$to the plane of the paper

C) along the bisector of the angle ACB away from AB

D) along the bisector of ACB towards AB.

• question_answer35) The wire loop formed by joining two semicircular sections of radii${{R}_{1}}$and${{R}_{2}}$and centre C, carries a current$I$as shown. The magnetic field at C has a magnitude:

A) $\frac{{{\mu }_{0}}I}{2}\left( \frac{1}{{{R}_{1}}}-\frac{1}{{{R}_{2}}} \right)$

B) $\frac{{{\mu }_{0}}I}{4}\left( \frac{1}{{{R}_{1}}}-\frac{1}{{{R}_{2}}} \right)$

C) $\frac{{{\mu }_{0}}I}{2}\left( \frac{1}{{{R}_{1}}}+\frac{1}{{{R}_{2}}} \right)$

D) $\frac{{{\mu }_{0}}I}{4}\left( \frac{1}{{{R}_{1}}}+\frac{1}{{{R}_{2}}} \right)$

• question_answer36) To increase both the resolving power and magnifying power of a telescope:

A) the focal length of the objective has to be increased

B) both the focal length and aperture of the objective has to be increased

C) the wavelength of light has to be decreased

D) the aperture of the objective has to be increased

• question_answer37) Forty one tuning forks are arranged in increasing order of frequencies such that every fork gives 5 beats with the next. The last fork has a frequency that is double the frequency of the first fork is:

A) 210

B) 400

C) 205

D) 200

• question_answer38) In a stationary wave all the particles:

A) in the region between two nodes vibrate in same phase

B) on either side of a node vibrate in same phase

C) of the medium vibrate in same phase

D) in the region between two antinodes vibrate in same phase.

• question_answer39) A cylindrical tube, open at both ends, has a fundamental frequency${{f}_{0}}$in air. The tube is dipped vertically into water such that half of its length is inside water. The fundamental frequency of the air column now is:

A) ${{f}_{0}}$

B) $3{{f}_{0}}/4$

C) $2{{f}_{0}}$

D) ${{f}_{0}}/2$

• question_answer40) A man $x$can hear upto 10 kHz and another man $y$upto 2 kHz. A note of frequency 500 Hz is produced before them from a stretched string then both will hear sounds of:

A) different pitch but same quality

B) same pitch but different quality

C) same pitch and same quality

D) different pitch and different quality.

• question_answer41) When 100 V D.C. is applied across a coil, a current of 1 A flows through it. When 100 V A.C. of 50 Hz is applied to the same, coil only 0.5 A flows. The inductance of the coil is:

A) $5.5\,mH$

B) $0.55\,mH$

C) $55\text{ }mH$

D) $~0.55\text{ }H.$

• question_answer42) In the circuit shown in the figure, the A.C. source gives a voltage $y=20\,cos\text{ (}2000t\text{)}.$Neglecting source resistance, the voltmeter and ammeter reading will be:

A) $1.68\text{ }V,\text{ }0.47\text{ }A$

B) $~0\text{ }V,\text{ }0.47\text{ }A$

C) $5.6\,V,1.4\,A$

D) $0\,V,\,1.4\,A$

• question_answer43) In the Bohr model of the hydrogen atom, let R, V and E represent the radius of the orbit, the speed of electron and the total energy of the electron respectively. Which of the following quantity is proportional to the quantum number$n$?

A) $E/V$

B) $R/E$

C) $VR$

D) $RE$

• question_answer44) In a sample of radioactive material, what percentage of the initial number of active nuclei will decay during one mean life?

A) 63%

B) $69.3%$

C) 37%

D) 50%

• question_answer45) A caesium photocell, with a steady potential difference of 60V across it, is illuminated by a bright point source of light 50 cm away. When the same light is places 1cm. away, the photoelectrons emitted from the cell:

A) are half as numerous;

B) are one quarter as numerous

C) each carry one quarter of their previous energy

D) each carry one quarter of their previous momentum.

• question_answer46) The equation$y=A{{\cos }^{2}}\left[ 2\pi nt-2\pi \frac{x}{y} \right]$ represents a wave with:

A) amplitude$A/2,$frequency$2n$and wavelength $\lambda$

B) amplitude$A/2,$frequency$2n$and wavelength$\lambda /2$

C) amplitude A, frequency $n$and wavelength

D) amplitude A, frequency$2n$and wavelength $2\lambda$

• question_answer47) A light points fixed to one prong of a tuning fork touches a vertical plate. The fork is set vibrating and the plate is allowed to fall freely. If eight oscillations are counted when the plate falls through 10 cm, the frequency of the tuning fork is:

A) 280 Hz

B) 360 Hz

C) 56 Hz

D) 56.0 Hz

• question_answer48) Three point charges are placed at the comers of an equilateral triangle. Assuming only electrostatic forces are acting. Then the system:

A) will be in equilibrium if the charges rotate about the centre of the triangle

B) can never be in equilibrium

C) will be in equilibrium if the charges have the same magnitudes but different signs

D) will be in equilibrium if the charges have different magnitude and different signs.

• question_answer49) Two copper balls, each weighing 10 g are kept in air 10 cm apart. If one electron from every ${{10}^{6}}$ atoms is transferred from one ball to the other, the coulomb force between them is: (atomic weight of copper is 63.5)

A) $2.0\times {{10}^{4}}N$

B) $2.0\times {{10}^{10}}N$

C) $2.0\,{{10}^{6}}N$

D) $2.0\times {{10}^{8}}N$

• question_answer50) What fraction of the energy drawn from the charging battery is stored in a capacitor?

A) 75%

B) 100%

C) 25%

D) 50%

• question_answer51) A projectile is moving at $20\,\text{m}{{\text{s}}^{-1}}$at its highest point, where it breaks into equal parts due to an internal explosion. One part moves vertically up at $30\,\text{m}{{\text{s}}^{-1}}$with respect to the ground. Then the other part will move at:

A) $20\,m{{s}^{-1}}$

B) $10\sqrt{31}\,m{{s}^{-1}}$

C) $50\,m{{s}^{-1}}$

D) $30\,m{{s}^{-1}}$

• question_answer52) A body is projected vertically upwards from the surface of a planet of radius R with a velocity equal to half the escape velocity for that planet. The maximum height attained by the body is:

A) R/2

B) R/3

C) R/5

D) R/4

• question_answer53) From the top of a tower a stone is thrown up which reaches the ground in a time h. A second stone thrown down with the same speed reaches the ground in a time ${{t}_{2}}.$A third stone released from rest from the same between reaches the ground in a time ${{t}_{3}}.$Then:

A) $\frac{1}{{{t}_{3}}}=\frac{1}{{{t}_{2}}}-\frac{1}{{{t}_{1}}}$

B) $t_{3}^{2}=t_{1}^{2}-t_{2}^{2}$

C) ${{t}_{3}}=\frac{{{t}_{1}}+{{t}_{2}}}{2}$

D) ${{t}_{3}}=\sqrt{{{t}_{1}}{{t}_{2}}}$

• question_answer54) Five rods of same dimensions are arranged as shown in the figure. They have thermal conductivities and ${{k}_{5}}$ when points A and B are maintained at different temperatures. No heat flows through the central rod if:

A) ${{k}_{1}}{{k}_{4}}={{k}_{2}}{{k}_{3}}$

B) ${{k}_{1}}={{k}_{4}}$and ${{k}_{2}}={{k}_{3}}$

C) $\frac{{{k}_{1}}}{{{k}_{4}}}=\frac{{{k}_{2}}}{{{k}_{3}}}$

D) ${{k}_{1}}{{k}_{2}}={{k}_{3}}{{k}_{4}}$

• question_answer55) The energy spectrum of a black body exhibits a maximum around a wavelength${{\lambda }_{0}}.$The temperature of the black body is now changed such that the energy is maximum around a wavelength$3{{\lambda }_{0}}/4.$ The power radiated by the black body will now increase by a factor of:

A) 64/27

B) 256/81

C) 4/3

D) 16/9

• question_answer56) $n$identical bulbs, each designated to draw a power P from a certain voltage supply. The total power which they will draw is:

A) $P/n$

B) $P/{{n}^{2}}$

C) $np$

D) $P$

• question_answer57) A and B are two conductors carrying a current $\text{I}$in the same direction,$x$and$~y$are two electron beams moving in the same direction. Then there will be :

A) attraction between A and B, repulsion between $x$ and $y$

B) repulsion between A and B, attraction between $x$and $y$

C) attraction between A and B and $x$and $y$

D) repulsion between A and B and $x$and $y$

• question_answer58) The current-voltage graph for a given metallic conductor at two different temperature ${{\text{T}}_{\text{1}}}$and ${{\text{T}}_{2}}$are as shown in the figure. Then:

A) ${{T}_{1}}<{{T}_{2}}$

B) nothing can be said about ${{T}_{1}}$and ${{T}_{2}}$

C) ${{T}_{1}}={{T}_{2}}$

D) ${{T}_{1}}>{{T}_{2}}$

• question_answer59) The variation of the intensity of magnetisation $(I)$ with respect to the magnetising field (H) in a diamagnetic substance is described by the graph:

A) OC

B) OD

C) OA

D) OB

• question_answer60) An aluminium ring B faces an electromagnet A. The current $I$through A can be altered. Then which of the following statements is correct?

A) If $I$decreases, A will repel B

B) Whether $I$ increases or decreases, B will not experience any force

C) If $I$ increases, A will repel B

D) If $I$ increases, A will attract B

• question_answer61) Glacial acetic acid is obtained by:

A) chemically separating acetic acid

B) treating vinegar with dehydrating agents

C) crystallising, separating and melting acetic acid

D) distilling vinegar.

• question_answer62) An organic acid without a carboxylic acid group is:

A) picric acid

B) oxalic acid

C) vinegar

D) ascorbic acid

• question_answer63) An ester used as medicine is:

A) ethyl benzoate

B) methyl salicylate

C) methyl acetate

D) ethyl acetate

• question_answer64) Reaction of aniline with benzaldehyde is:

A) polymerisation

B) condensation

D) substitution

• question_answer65) Halo alkane in the presence of alcoholic KOH undergoes:

A) elimination

B) poly merisation

C) dimerisation

D) substitution

• question_answer66) The simplest way to check whether a system is colloidal is by:

A) electrodialysis

B) finding out particle size

C) Tyndall effect

D) Brownian movement.

• question_answer67) An example for a strong electrolyte is:

A) urea

B) ammonium hydroxide

C) sugar

D) sodium acetate

• question_answer68) An example of a salt that will not hydrolyse is:

A) $C{{H}_{3}}COON{{H}_{4}}$

B) $C{{H}_{3}}COOK$

C) $N{{H}_{4}}Cl$

D) $KCl$

• question_answer69) $C{{}^{14}}$is:

• question_answer70) A cuprous ore among the following is:

A) cuprite

B) malachite

C) chalcopyrites

D) azurite

• question_answer71) van der Waal's equation for $n$moles of a gas is:

A) $\left( P+\frac{{{n}^{2}}a}{{{V}^{2}}} \right)(V-nb)=RT$

B) $\left( P+\frac{na}{{{V}^{2}}} \right)(V-nb)=RT$

C) $\left( P+\frac{a}{{{V}^{2}}} \right)(V-b)=nRT$

D) $\left( P+\frac{{{n}^{2}}a}{{{V}^{2}}} \right)(V-b)=RT$

• question_answer72) Smallest among these species is:

A) lithium

B) lithium ion

C) hydrogen

D) helium

• question_answer73) Sodium chloride is an ionic compound where as hydrogen chloride gas is mainly convalent because :

A) electronegativity difference in the case of hydrogen is less than 2.1.

B) hydrogen chloride is a gas

C) hydrogen is a non-metal

D) sodium is reactive.

• question_answer74) Covalent compounds have low melting point because:

A) covalent molecules are held by weak van der Waal?s force of attraction

B) covalent bond is less exothermic

C) covalent bond is weaker than ionic bond

D) covalent molecules have definite shape.

• question_answer75) A neutral fertilizer among these compounds is:

A) ammonium nitrate

B) urea

C) CAN

D) ammonium sulphate

• question_answer76) A condensation polymer among the following polymers is:

A) teflon

B) polysterene

C) PVC

D) decron

• question_answer77) A compound that undergoes bromination easily is:

A) toluene

B) benzoic acid

C) phenol

D) benzene

• question_answer78) A sugar that is not a disacharide among the following is:

A) galactose

B) lactose

C) maltose

D) sucrose

• question_answer79) DryiAg soil invariably contains:

A) butyric acid

B) stearic acid

C) lauric acid

D) linoleic acid

• question_answer80) Hetrocyclic amino acid among these compound is:

A) lysine

B) tyrosin

C) proline

D) serine

• question_answer81) Aluminium oxide is not reduced by chemical reactions since:

A) reducing agent contaminate

B) the process pollute the environment

C) aluminium oxide is highly stable

D) aluminium oxide is reactive.

• question_answer82) Iron loses magnetic property at:

A) melting point

B) 1000 K

C) Curie point

D) boiling point

• question_answer83) An example for a double salt is:

A) potassium ferricyanide

B) cobalt hexamine chloride

C) cuprous sulphate

D) Mohr's salt.

• question_answer84) The set of compounds in which the reactivity of halogen atom in the ascending order is:

A) vinyl chloride, chloroethane, chlorobenzene

B) vinyl chloride, chlorobenzene, chloroethane

C) chloroethane, chlorobenzene, vinyl chloride

D) chlorobenzene, vinyl chloride, chloroethane.

A) $C{{H}_{3}}CHO$

B) $C{{H}_{3}}COC{{H}_{3}}$

C) $C{{H}_{2}}OH$

D) $HCHO.$

• question_answer86) In the case of auto catalysis:

A) product catalysis

B) solvent catalysis

C) reactant catalysis

D) heat produced in the reaction catalysis.

• question_answer87) Which of the following statements is true?

A) $\Delta E$is always greater than $\Delta H$

B) $\Delta E$is always less than $\Delta H$

C) $\Delta E$may be lesser or greater or equal to $\Delta H$

D) $\Delta E$is always proportional to $\Delta H$

• question_answer88) Order of reaction is decided by:

A) molecularity

B) pressure

C) temperature

D) mechanism of reaction as well as relative concentration of reactants

• question_answer89) Half-life of a reaction is found to be inversely proportional to the cube of initial concentration. The order of reaction is:

A) 5

B) 2

C) 4

D) 3

• question_answer90) Which among the following statement is false?

A) The adsorption may be mono layered or multilayered.

B) Particle size of adsorbent will not affect the amount of adsorption.

C) Increase of pressure increases amount of adsorption.

D) Increase of temperature may decrease the amount of adsorption.

• question_answer91) Purine derivative among the following bases is:

A) cytosine

B) guanine

C) uracil

D) thymine.

• question_answer92) A drug that is antipyretic as well as analgesic is:

A) penicillin

B) chloroquin

C) para acetamidophenol

D) chloropromazine hydrochloride.

• question_answer93) For a $f-$orbital the values of $m$are:

A) $=1,0,+1$

B) $0,+1,0,+1,+\,2$

C) $-2,-1,0+1,+\,2$

D) $-3,-2,-1,0,+1,+\,2,+\,3$

• question_answer94) Chloride ion and potassium ion are isoelectronic. Then:

A) potassium ion is relatively bigger

B) depends on the other cation and anion

C) their size are same

D) chloride ion is bigger than potassium ion.

• question_answer95) In a reversible reaction a catalyst will affect:

A) the rate of forward reaction and reverse reaction

B) neither the forward reaction nor the rate of reverse reaction

C) the rate of forward reaction

D) the rate of reverse reaction.

• question_answer96) Pentavalence in phosphorous is more stable when compared to that of nitrogen even through they belong to same group is due to:

A) reactivity of phosphorous

B) inert nature of nitrogen

C) dissimilar electronic configuration

D) larger size of phosphorous atom.

• question_answer97) Aqueous solutions of hydrogen sulphide and sulphurdioxide when mixed together, yield:

A) sulphur trioxide and water

B) hydrogen and sulphurous acid

C) sulphur and water

D) hydrogen peroxide and sulphur.

• question_answer98) A salt producing hydrocarbon among these compounds is:

A) ethane

B) methane

C) ethene

D) ethyne

• question_answer99) Octane number is zero for:

A) $n-$octane

B) $iso-$octane

C) $n-$heptane

D) $iso-$ heptane

• question_answer100) The intensive property among these quantities is:

A) enthalpy

B) mass/volume

C) mass

D) volume

• question_answer101) 30g of Mg and 30g of oxygen are reacted and the residual mixture contains:

A) $45\text{ }g$of $MgO$and$~15\text{ }g$ of${{O}_{2}}$

B) $50\text{ }g$of$~MgO$ and $10\text{ }g$of$~{{O}_{2}}$

C) $60\text{ }g$ of$MgO$only

D) $~40\text{ }g$ of $MgO$and $20\text{ }g$of ${{O}_{2}}.$

• question_answer102) 3g of oxide of a metal is converted to chloride completely and it yielded 5 g of chloride. The equivalent weight of metal is:

A) $12$

B) $~20$

C) $33.25~~~~~~~~~~$

D) $2.325$

• question_answer103) 20 ml of $\text{0}\text{.25}\,\text{N}$strong acid and 30 ml $\text{0}\text{.2}\,\text{N}$of strong base are mixed; the resulting solution is:

A) $\text{0}\text{.02 N}$acidic

B) $0.025$N basic

C) $\text{ }\!\!~\!\!\text{ 0}\text{.02 N}$ basic

D) $\text{ }\!\!~\!\!\text{ 0}\text{.025 N}$acidic

• question_answer104) The rate of forward reaction is two times that of reverse reaction at a given temperature and identical concentration. ${{K}_{\text{equilibrium}}}$is:

A) $2.5$

B) $2.0$

C) $0.5$

D) $1.5$

• question_answer105) A chemical reaction was carried out at 300 K and 280 K. The rate constants were found to be ${{K}_{1}}$and ${{K}_{2}}$respectively. Then:

A) ${{K}_{2}}=0.25\,{{K}_{1}}$

B) ${{K}_{2}}\approx 0.5\,{{K}_{1}}$

C) ${{K}_{2}}\approx 4{{K}_{1}}$

D) ${{K}_{2}}\approx 2{{K}_{1}}$

A) neither an acid nor base

B) both an acid and a base

C) a conjugate acid

D) a conjugate base

A) amphoteric acid

B) aprotic solvent

C) protophobic solvent

D) protophilic solvent

• question_answer108) A smuggler could not carry gold by depositing iron on gold surface since:

A) gold has higher standard reduction potential than iron

B) gold has lower standard reduction potential than iron

C) gold is denser

D) iron rusts.

• question_answer109) A, is an aqueous acid; B is an aqueous base. They are diluted separately, then:

A) pH of A decreases and pH of B increases

B) pH of A increases and pH of B decreases till pH in each case is 7

C) pH of A and B increase

D) pH of B and A decrease.

• question_answer110) $_{z}{{X}^{M}}+{{\,}_{2}}H{{e}^{4}}\to {{\,}_{15}}{{P}^{30}}+{{\,}_{0}}{{n}^{1}}.$Then:

A) $Z=12,M=27$

B) $Z=13,M=27$

C) $Z=12,M=17$

D) $Z=13,M=28$

• question_answer111) Kinetic theory of gases presumes that collision between the molecules to be perfectly elastic because:

A) collisions will not split the molecule

B) the molecules are tiny

C) the molecules are rigid

D) the temperature remains constant irrespective of collisions.

• question_answer112) Bio-gas production is more useful when compared to the direct use of dung because:

A) both fuel value and fertilizer value are effectively utilized

B) production of bio-gas involves less labour

C) fuel is quickly produced

D) the fertilizer produced is a fluid.

• question_answer113) Compounds with high heat of formation are less stable because:

A) high temperature is required to synthesise them

B) molecules of such compounds are distorted

C) it is difficult to synthesise them

D) energy rich state leads to instability.

• question_answer114) In the case of a radio isotope the value of ${{T}_{1/2}}$and $\lambda$are identical in magnitude. The value is:

A) $0.693$

B) ${{(0.693)}^{1/2}}$

C) $1/0.693$

D) ${{(0.693)}^{2}}$

• question_answer115) Heat of neutralisation of weak acid and strong base is less than the heat of neutralisation of strong acid and strong base due to:

A) energy has to be spent for the total dissociation of weak acid

B) salt of weak acid and strong base is not stable

C) incomplete dissociation of weak acid

D) incomplete neutralisation of weak acid.

A) gamma and alpha rays simultaneously

B) gamma rays only

C) alpha and beta rays simultaneously

D) beta and gamma rays simultaneously.

• question_answer117) Heat treatment alters the properties of steel due to:

A) chemical reaction on heating

B) partial rusting

C) change in the residual energy

D) change in the lattice structure due to differential rate of cooling.

A) attraction and repulsion

B) attraction and repulsion balanced at a particular distance

C) attraction

D) repulsion.

• question_answer119) Grignard reagent is not prepared in aqueous medium but prepared in either medium. Because:

A) the reagent reacts with water

B) the reagent becomes inactive in water

C) it is insoluble in water

D) the reagent is highly reactive in water.

• question_answer120) A lone pair of electrons in an atom implies:

A) a pair of valence electrons not involved in bonding

B) a pair of electrons involved in bonding

C) a pair of electrons

D) a pair of valence electrons

• question_answer121) The value of $\underset{x\to \pi }{\mathop{\lim }}\,\frac{\sqrt{2+\cos x}-1}{{{(\pi -x)}^{2}}}$is :

A) 1/4

B) 2

C) 1/2

D) zero

• question_answer122) If ${{\tan }^{-1}}\frac{x+1}{x-1}+{{\tan }^{-1}}\frac{x-1}{x}={{\tan }^{-1}}(-7)$ then the value of $x$ is:

A) zero

B) $~-2$

C) 1

D) 2

• question_answer123) Let the function$f:R\to R$ be defined by $f(x)=2x+\cos x$then $f:$

A) has maximum at $x=0$

B) has minimum at $x=\pi$

C) is an increasing function

D) is a decreasing

• question_answer124) If ${{\cos }^{-1}}\sqrt{p}+{{\cos }^{-1}}\sqrt{1-p}+{{\cos }^{-1}}\sqrt{1-q}$$=\frac{3\pi }{4}$ then the value of $q$ is:

A) $2/\sqrt{2}$

B) $1$

C) $1/2$

D) $1/3$

• question_answer125) If the equation $3{{x}^{2}}+xy-{{y}^{2}}-3x+6y+k=0$represents a pair of lines, then the value of k is:

A) 9

B) 1

C) $-9$

D) zero

• question_answer126) The acute angle in radians between the minute the hour hand of a clock when the time is 4 hours 20 minutes is:

A) $\pi /18$

B) zero

C) $\pi /6$

D) $\pi /9$

• question_answer127) Let $n\ge 5$and$b\ne 0.$In the binomial expansion of ${{(a-b)}^{n}},$ the sum of the 5th and 6th terms is zero then a/b equals:

A) $\frac{5}{n-4}$

B) $\frac{1}{5(n-4)}$

C) $\frac{n-5}{6}$

D) $\frac{n-4}{5}$

• question_answer128) In a H.P. $pth$term is q and $qth$term is p. Then the $pqth$term is:

A) zero

B) $\frac{p+q}{pq}$

C) 1

D) $\frac{pq}{p+q}$

• question_answer129) Orbit of the earth around the sun is an ellipse with sun at one of its foci. If the semi-major axis is 150 million kilometers and the eccentricity is 1/60. The difference between the maximum and the minimum distance between the earth and the sun is:

A) 20 million km.

B) 5 million km.

C) 50 million km.

D) 2.5 million km.

• question_answer130) If ${{\log }_{2}}7=x,$then $x$is:

A) a rational number such that $0<x<2$

B) an rational number

C) a rational number such that $2<x<3$

D) a prime number of the form $7x+2$

• question_answer131) The value of ${{\cos }^{2}}\frac{\pi }{12}+{{\cos }^{2}}\frac{\pi }{4}+{{\cos }^{2}}\frac{5\pi }{12}$is

A) $2/3$

B) $\frac{2}{3+\sqrt{3}}$

C) $3/2$

D) $\frac{3+\sqrt{3}}{2}$

• question_answer132) If $0<x<\frac{\pi }{2},$then the largest angle of a triangle whose sides are $1,\,\sin x,\cos x$is:

A) $\pi /3$

B) $\pi /2$

C) $\pi$

D) $\frac{\pi }{2}-x$

• question_answer133) The general solution of the equation $\sin \theta +\cos \theta =1$is:

A) $\theta =2n\pi +\frac{\pi }{2},n=0,\pm 1,\,\pm 2$

B) $\theta -n\pi +\{{{(-1)}^{n}}+1\}\pi /4,n=0,\pm \,1,\pm \,2$

C) $\theta =n\pi +\{{{(-1)}^{n}}-1\}\frac{\pi }{4},n=0,\pm \,1,\,\pm 2$

D) $\theta =2n\pi ,n=0,\pm 1,\,\pm 2+...$

• question_answer134) If $y={{\tan }^{-1}}\left( \frac{\cos x-\sin x}{\cos x+\sin x} \right),$then $\frac{dy}{dx}=$

A) $-1$

B) $\sin 2\pi$

C) $\cos 2x$

D) zero

• question_answer135) The differential of ${{e}^{{{x}^{3}}}}$with respect to $\log x$ is:

A) ${{e}^{{{x}^{3}}}}$

B) $3{{x}^{2}}{{e}^{{{x}^{3}}}}+3{{x}^{2}}$

C) $3{{x}^{3}}{{e}^{{{x}^{3}}}}$

D) $3{{x}^{3}}{{e}^{{{x}^{3}}}}$

• question_answer136) If 5 is one root of the equations $\left| \begin{matrix} x & 3 & 7 \\ 2 & x & -2 \\ 7 & 8 & x \\ \end{matrix} \right|=0,$ then the other two roots of the equation are:

A) $-2,-7$

B) $-2,7$

C) $2,-7$

D) $2,7$

• question_answer137) The value of$\sum\limits_{k=1}^{6}{\left( \sin \frac{2\pi k}{7}-i\cos \frac{2\pi k}{7} \right)}$is:

A) $i$

B) zero

C) $-i$

D) $-1$

• question_answer138) If $x=2\cot \,t+\cos 2t,$$y=2\sin t-\sin 2t$then $\frac{dy}{dx}$at $t=\frac{\pi }{4}$is:

A) $1-\sqrt{2}$

B) $-(1+\sqrt{2})$

C) $\sqrt{2}$

D) $1/\sqrt{2}$

• question_answer139) If $\vec{a},\vec{b},\vec{c}$are mutually perpendicular unit vectors, then $|\vec{a}+\vec{b}+\vec{c}|$is equal to:

A) 3

B) $\sqrt{3}$

C) zero

D) 1

• question_answer140) If ABCDEF is a regular hexagon then $\overrightarrow{AD}+\overrightarrow{EB}+\overrightarrow{FC}$ equals:

A) zero

B) $2\overrightarrow{AB}$

C) $4\overrightarrow{AB}$

D) $3\overrightarrow{AB}$

• question_answer141) The value of $\int_{{}}^{{}}{\frac{dx}{\sqrt{2x-{{x}^{2}}}}}$is:

A) ${{\sin }^{-1}}(1-x)+c$

B) ${{\sin }^{-1}}(x-1)+c$

C) ${{\sin }^{-1}}(1+x)+c$

D) $-\sqrt{2x-{{x}^{2}}}+c$

• question_answer142) Which of the following functions is a solution of the differential equation${{\left( \frac{dy}{dx} \right)}^{2}}-x\left( \frac{dy}{dx} \right)+y=0$

A) $y=2x-4$

B) $y=2{{x}^{2}}-4$

C) $y=2$

D) $y=2x$

• question_answer143) $y=a{{e}^{mx}}+b{{e}^{-mx}}$satisfies which of the following differential equations:

A) $\frac{dy}{dx}+my=0$

B) $\frac{dy}{dx}-my=0$

C) $\frac{{{d}^{2}}y}{d{{x}^{2}}}-{{m}^{2}}y=0$

D) $\frac{{{d}^{2}}y}{d{{x}^{2}}}+{{m}^{2}}y=0$

• question_answer144) Solution of the differential equation$\frac{dx}{x}+\frac{dy}{y}=0$is:

A) $\frac{1}{x}+\frac{1}{y}=c$

B) $\log x\log y=c$

C) $xy=c$

D) $x+y=c$

• question_answer145) The value of $\int_{{}}^{{}}{{{x}^{3}}\log x\,dx}$is:

A) $\frac{1}{16}(4{{x}^{4}}\log x-{{x}^{4}}+c)$

B) $\frac{1}{8}({{x}^{4}}\log x-4{{x}^{4}}+c)$

C) $\frac{1}{16}(4{{x}^{4}}\log x+{{x}^{4}}+c)$

D) $\frac{{{x}^{4}}\log x}{4}+c$

• question_answer146) The equation to the tangent to the curve $y=b{{e}^{-x/a}}$at the point where it crosses the $y-$axis is:

A) $ax+by=1$

B) $\frac{x}{a}-\frac{y}{b}=1$

C) $\frac{x}{a}+\frac{y}{b}=1$

D) $ax-by=1$

• question_answer147) The value of$\int_{0}^{\pi }{\frac{dx}{5+3\cos x}}$is:

A) $\pi /4$

B) $\pi /8$

C) $\pi /2$

D) zero

• question_answer148) If the vectors $3\vec{i}+\vec{j}-2\vec{k},\vec{i}+2\vec{j}-3\vec{k},$$3\vec{i}+\lambda \vec{j}+5\vec{k}$ are co-planar, the value of is:

A) $-4$

B) $4$

C) 8

D) $-8$

• question_answer149) Equation of the tangent and the normal drawn at the point (6, 0) on the ellipse$\frac{{{x}^{2}}}{36}+\frac{{{y}^{2}}}{9}=1$respectively are:

A) $x=6,y=0$

B) $y+x-6=0,y-x+6=0$

C) $x=0,y=3$

D) $x=-6,y=0$

• question_answer150) The equation to the parabola whose focus is $(1,-1)$ and the directrix is $x+y+7=0$is:

A) ${{x}^{2}}+{{y}^{2}}-2xy-18x-10y=0$

B) ${{x}^{2}}-18x-10y-45=0$

C) ${{x}^{2}}+{{y}^{2}}-18x-10y-45=0$

D) ${{x}^{2}}+{{y}^{2}}-2xy-18x-10y-45=0$

• question_answer151) If$\omega =-\frac{1}{2}+\frac{\sqrt{3i}}{2},$the value of the determinant$\left| \begin{matrix} 1 & \omega & {{\omega }^{2}} \\ \omega & {{\omega }^{2}} & 1 \\ {{\omega }^{2}} & 1 & \omega \\ \end{matrix} \right|$is:

A) zero

B) 3

C) $-1$

D) $1$

• question_answer152) Two intersecting circles have their radii and 1 and$\sqrt{3}$meters. The distance between their centres is 2 meters. Then the overlapping area in sq. meters is:

A) $\frac{19\pi +6\sqrt{3}}{6}$

B) $\frac{5\pi +6\sqrt{3}}{6}$

C) $\frac{\pi }{6}$

D) $\frac{5\pi -6\sqrt{3}}{6}$

• question_answer153) Which of the statement in the following is false in respect of the conic${{x}^{2}}-3{{y}^{2}}-4x-6y-11=0$

A) length of the latus rectum is $4/\sqrt{3}$

B) asymptotes, intersect at right angles

C) the eccentricity of the conic is $2/\sqrt{3}$

D) centre of the conic is $(2,-1)$

• question_answer154) Let${{z}_{1}}$and${{z}_{2}}$be nth roots of unity which subtend a right angle at the origin. Then $n$must be of the form:

A) $4k+3$

B) $4k$

C) $4k+3$

D) $4k+2$

• question_answer155) The height of the cylinder of maximum volume inscribed in a sphere of radius ?a? is:

A) $\frac{3a}{2}$

B) $\frac{\sqrt{2}a}{3}$

C) $\frac{a}{\sqrt{3}}$

D) $\frac{2}{\sqrt{3a}}$

• question_answer156) For all positive value of $x$ and $y,$the value of $\frac{(1+x+{{x}^{2}})(1+y+{{y}^{2}})}{xy}$is:

A) $\le 9$

B) $<9$

C) $\ge 9$

D) $>9$

• question_answer157) How many nine digit numbers can be formed using the digits 2, 2, 3, 3, 5,5, 8, 8, 8 so that the odd digits occupy even positions:

A) 180

B) 7560

C) 60

D) 16

• question_answer158) There are points in a plane of which p points are collinear. How many lines can be formed from these points:

A)

B)

C)

D)

A)

B)

C) 1

D) zero

• question_answer160) If for a triangle then the value ofis:

A)

B)

C) 1

D)

• question_answer161) The value of is:

A)

B)

C) zero

D) 1

• question_answer162) The value of is:

A)

B)

C)

D) zero

• question_answer163) The area of the figure bounded by the curves and and the co-ordinate and is:

A)

B)

C)

D)

A)

B)

C)

D)

• question_answer165) Let if is continuous at the value of k is:

A)

B)

C) zero

D) 1

• question_answer166) Let M be the set of allmatrices with eptries from the set of real number R. Then the function defined by for ever is:

A) one-one and onto

B) neither one-one nor onto

C) one-one but not onto

D) onto but not one-one

• question_answer167) For how many values of x in the closed interval the matrixis singular:

A) zero

B)

C) 1

D) 3

• question_answer168) is a group under matrix multiplication. Then which one of the following statements in respect of G is ture.

A) is the inverse of itself

B) G is a finite group

C) is not an element of G

D) is an element of G.

• question_answer169) If two circles and intersect in two distinct points, then:

A)

B)

C)

D)

• question_answer170) If are four distinct points on a circle, then is equal to:

A) 4

B)

C) 1

D) zero

• question_answer171) Which of the following linear congruences has no solution:

A)

B)

C)

D)

• question_answer172) The digit in the unit place of the number is:

A) 6

B) 7

C) zero

D) 3

• question_answer173) If then at the function is:

A) continuous but not differentiable

B) differentiable but not continuous

C) continuous and differentiable

D) not continuous

• question_answer174) The perimeter of a sector is P. The area of the sector is maximum when its radius is:

A)

B)

C)

D)

• question_answer175) Which one of the following subsets of is a subgroup of

A)

B)

C)

D)

• question_answer176) The False statement in the following is:

C) P is a tautology

D) is a tautology.

A) zero

B) 2

C) 3

D) 5

A) an even function

B) an odd function

C) a periodic function

D) none of these

A) increasing on and decreasing on

B) decreasing on and increasing on

C) increasing on and decreasing on

D) decreasing on and increasing on

• question_answer180) The area of the circle centred at (1, 2) and passing through is:

A)

B)

C)

D) none of these