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

CET - Karnataka Engineering Solved Paper-2002 Total Questions - 180

1) 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)

\[\pi -2C\]

View Answer
2) 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)

\[7.6\,mm\]

View Answer
3) 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)

\[{{20}^{o}}\]

View Answer
4) \[{{\upsilon }_{O}}\]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.

View Answer
5) 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)

\[\upsilon /3\]

View Answer
6) 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

View Answer
7) 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.

View Answer
8) In nuclear fission the percentage of mass converted into energy is about:

A)

\[0.01%\]

B)

\[10%\]

C)

\[1%\]

D)

\[0.1%\]

View Answer
9)  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 \[{{l}_{3}}<{{l}_{1}}<{{l}_{2}}\]

View Answer
10) 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

View Answer
11) 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

View Answer
12) 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.

View Answer
13) 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

View Answer
14) 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.

View Answer
15) 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.

View Answer
16) 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)

View Answer
17) 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)

\[\sqrt{69%}\]

View Answer
18) 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)

\[{{\upsilon }_{H}}=16{{\upsilon }_{O}}\]

View Answer
19) 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

View Answer
20) 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

View Answer
21) 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)

\[{{150}^{o}}\]

View Answer
22) 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

View Answer
23) 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)

\[~50{{\,}^{o}}C\]

View Answer
24) 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)

\[1:1\]

View Answer
25) 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

View Answer
26) 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

View Answer
27) A superconductor exhibits perfect:

A)

ferromagnetism

B)

ferrimagnetism

C)

diamagnetism

D)

paramagnetism

View Answer
28) 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.

View Answer
29) 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.

View Answer
30) The SI unit of radioactivity is:

A)

Rutherford

B)

Roentgen

C)

Becqueral

D)

Curie.

View Answer
31) 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

View Answer
32) 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

View Answer
33) 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)

\[1.0\,\,\Omega \]

View Answer
34) 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.

View Answer
35) 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)

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

View Answer
36) 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

View Answer
37) 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

View Answer
38) 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.

View Answer
39) 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)

\[{{f}_{0}}/2\]

View Answer
40) 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.

View Answer
41) 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)

\[~0.55\text{ }H.\]

View Answer
42) 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)

\[0\,V,\,1.4\,A\]

View Answer
43) 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)

\[RE\]

View Answer
44) 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%

View Answer
45) 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.

View Answer
46) 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 \[2\lambda \]

View Answer
47) 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

View Answer
48) 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.

View Answer
49) 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)

\[2.0\times {{10}^{8}}N\]

View Answer
50) What fraction of the energy drawn from the charging battery is stored in a capacitor?

A)

75%

B)

100%

C)

25%

D)

50%

View Answer
51) 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)

\[30\,m{{s}^{-1}}\]

View Answer
52) 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

View Answer
53) 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)

\[{{t}_{3}}=\sqrt{{{t}_{1}}{{t}_{2}}}\]

View Answer
54) 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)

\[{{k}_{1}}{{k}_{2}}={{k}_{3}}{{k}_{4}}\]

View Answer
55) 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

View Answer
56) \[n\]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)

\[P\]

View Answer
57) 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 \[y\]

View Answer
58) 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)

\[{{T}_{1}}>{{T}_{2}}\]

View Answer
59) 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

View Answer
60) 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

View Answer
61) 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.

View Answer
62) An organic acid without a carboxylic acid group is:

A)

picric acid

B)

oxalic acid

C)

vinegar

D)

ascorbic acid

View Answer
63) An ester used as medicine is:

A)

ethyl benzoate

B)

methyl salicylate

C)

methyl acetate

D)

ethyl acetate

View Answer
64) Reaction of aniline with benzaldehyde is:

A)

polymerisation

B)

condensation

C)

addition

D)

substitution

View Answer
65) Halo alkane in the presence of alcoholic KOH undergoes:

A)

elimination

B)

poly merisation

C)

dimerisation

D)

substitution

View Answer
66) 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.

View Answer
67) An example for a strong electrolyte is:

A)

urea

B)

ammonium hydroxide

C)

sugar

D)

sodium acetate

View Answer
68) 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)

\[KCl\]

View Answer
69) \[C{{}^{14}}\]is:

A)

a natural non-radioactive isotope

B)

an artificial non-radioactive isotope

C)

an artificial radioactive isotope

D)

a natural radioactive isotope.

View Answer
70) A cuprous ore among the following is:

A)

cuprite

B)

malachite

C)

chalcopyrites

D)

azurite

View Answer
71) 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)

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

View Answer
72) Smallest among these species is:

A)

lithium

B)

lithium ion

C)

hydrogen

D)

helium

View Answer
73) 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.

View Answer
74) 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.

View Answer
75) A neutral fertilizer among these compounds is:

A)

ammonium nitrate

B)

urea

C)

CAN

D)

ammonium sulphate

View Answer
76) A condensation polymer among the following polymers is:

A)

teflon

B)

polysterene

C)

PVC

D)

decron

View Answer
77) A compound that undergoes bromination easily is:

A)

toluene

B)

benzoic acid

C)

phenol

D)

benzene

View Answer
78) A sugar that is not a disacharide among the following is:

A)

galactose

B)

lactose

C)

maltose

D)

sucrose

View Answer
79) DryiAg soil invariably contains:

A)

butyric acid

B)

stearic acid

C)

lauric acid

D)

linoleic acid

View Answer
80) Hetrocyclic amino acid among these compound is:

A)

lysine

B)

tyrosin

C)

proline

D)

serine

View Answer
81) 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.

View Answer
82) Iron loses magnetic property at:

A)

melting point

B)

1000 K

C)

Curie point

D)

boiling point

View Answer
83) An example for a double salt is:

A)

potassium ferricyanide

B)

cobalt hexamine chloride

C)

cuprous sulphate

D)

Mohr's salt.

View Answer
84) 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.

View Answer
85) Methanal is:

A)

\[C{{H}_{3}}CHO\]

B)

\[C{{H}_{3}}COC{{H}_{3}}\]

C)

\[C{{H}_{2}}OH\]

D)

\[HCHO.\]

View Answer
86) In the case of auto catalysis:

A)

product catalysis

B)

solvent catalysis

C)

reactant catalysis

D)

heat produced in the reaction catalysis.

View Answer
87) 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 \[\Delta H\]

View Answer
88) Order of reaction is decided by:

A)

molecularity

B)

pressure

C)

temperature

D)

mechanism of reaction as well as relative concentration of reactants

View Answer
89) 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

View Answer
90) 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.

View Answer
91) Purine derivative among the following bases is:

A)

cytosine

B)

guanine

C)

uracil

D)

thymine.

View Answer
92) A drug that is antipyretic as well as analgesic is:

A)

penicillin

B)

chloroquin

C)

para acetamidophenol

D)

chloropromazine hydrochloride.

View Answer
93) 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)

\[-3,-2,-1,0,+1,+\,2,+\,3\]

View Answer
94) 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.

View Answer
95) 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.

View Answer
96) 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.

View Answer
97) 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.

View Answer
98) A salt producing hydrocarbon among these compounds is:

A)

ethane

B)

methane

C)

ethene

D)

ethyne

View Answer
99) Octane number is zero for:

A)

\[n-\]octane

B)

\[iso-\]octane

C)

\[n-\]heptane

D)

\[iso-\] heptane

View Answer
100) The intensive property among these quantities is:

A)

enthalpy

B)

mass/volume

C)

mass

D)

volume

View Answer
101) 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 \[{{O}_{2}}.\]

View Answer
102) 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)

\[2.325\]

View Answer
103) 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

View Answer
104) 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)

\[1.5\]

View Answer
105) 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)

\[{{K}_{2}}\approx 2{{K}_{1}}\]

View Answer
106) Ammonium ion is:

A)

neither an acid nor base

B)

both an acid and a base

C)

a conjugate acid

D)

a conjugate base

View Answer
107) Water is a:

A)

amphoteric acid

B)

aprotic solvent

C)

protophobic solvent

D)

protophilic solvent

View Answer
108) 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.

View Answer
109) 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.

View Answer
110) \[_{z}{{X}^{M}}+{{\,}_{2}}H{{e}^{4}}\to {{\,}_{15}}{{P}^{30}}+{{\,}_{0}}{{n}^{1}}.\]Then:

A)

\[Z=12,M=27\]

B)

\[Z=13,M=27\]

C)

\[Z=12,M=17\]

D)

\[Z=13,M=28\]

View Answer
111) 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.

View Answer
112) 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.

View Answer
113) 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.

View Answer
114) 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)

\[{{(0.693)}^{2}}\]

View Answer
115) 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.

View Answer
116) A radio isotope will not emit:

A)

gamma and alpha rays simultaneously

B)

gamma rays only

C)

alpha and beta rays simultaneously

D)

beta and gamma rays simultaneously.

View Answer
117) 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.

View Answer
118) Chemical bond implies:

A)

attraction and repulsion

B)

attraction and repulsion balanced at a particular distance

C)

attraction

D)

repulsion.

View Answer
119) 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.

View Answer
120) 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

View Answer
121) 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

View Answer
122) 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

View Answer
123) 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

View Answer
124) 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)

\[1/3\]

View Answer
125) 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

View Answer
126) 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)

\[\pi /9\]

View Answer
127) 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)

\[\frac{n-4}{5}\]

View Answer
128) 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)

\[\frac{pq}{p+q}\]

View Answer
129) 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.

View Answer
130) 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 \[7x+2\]

View Answer
131) 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)

\[\frac{3+\sqrt{3}}{2}\]

View Answer
132) 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)

\[\frac{\pi }{2}-x\]

View Answer
133) 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)

\[\theta =2n\pi ,n=0,\pm 1,\,\pm 2+...\]

View Answer
134) 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

View Answer
135) 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)

\[3{{x}^{3}}{{e}^{{{x}^{3}}}}\]

View Answer
136) 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)

\[2,7\]

View Answer
137) 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)

\[-1\]

View Answer
138) 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)

\[1/\sqrt{2}\]

View Answer
139) 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

View Answer
140) 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)

\[3\overrightarrow{AB}\]

View Answer
141) 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)

\[-\sqrt{2x-{{x}^{2}}}+c\]

View Answer
142) 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)

\[y=2x\]

View Answer
143) \[y=a{{e}^{mx}}+b{{e}^{-mx}}\]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)

\[\frac{{{d}^{2}}y}{d{{x}^{2}}}+{{m}^{2}}y=0\]

View Answer
144) 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)

\[x+y=c\]

View Answer
145) 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)

\[\frac{{{x}^{4}}\log x}{4}+c\]

View Answer
146) 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)

\[ax-by=1\]

View Answer
147) The value of\[\int_{0}^{\pi }{\frac{dx}{5+3\cos x}}\]is:

A)

\[\pi /4\]

B)

\[\pi /8\]

C)

\[\pi /2\]

D)

zero

View Answer
148) 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)

\[-8\]

View Answer
149) 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)

\[x=-6,y=0\]

View Answer
150) 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)

\[{{x}^{2}}+{{y}^{2}}-2xy-18x-10y-45=0\]

View Answer
151) 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)

\[1\]

View Answer
152) 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)

\[\frac{5\pi -6\sqrt{3}}{6}\]

View Answer
153) 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 \[(2,-1)\]

View Answer
154) 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)

\[4k+2\]

View Answer
155) 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)

\[\frac{2}{\sqrt{3a}}\]

View Answer
156) 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)

\[>9\]

View Answer
157) 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

View Answer
158) 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)

View Answer
159) If then is:

A)

B)

C)

1

D)

zero

View Answer
160) If for a triangle then the value ofis:

A)

B)

C)

1

D)

View Answer
161) The value of is:

A)

B)

C)

zero

D)

1

View Answer
162) The value of is:

A)

B)

C)

D)

zero

View Answer
163) The area of the figure bounded by the curves and and the co-ordinate and is:

A)

B)

C)

D)

View Answer
164) If

A)

B)

C)

D)

View Answer
165) Let if is continuous at the value of k is:

A)

B)

C)

zero

D)

1

View Answer
166) 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

View Answer
167) For how many values of x in the closed interval the matrixis singular:

A)

zero

B)

C)

1

D)

3

View Answer
168) 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.

View Answer
169) If two circles and intersect in two distinct points, then:

A)

B)

C)

D)

View Answer
170) If are four distinct points on a circle, then is equal to:

A)

4

B)

C)

1

D)

zero

View Answer
171) Which of the following linear congruences has no solution:

A)

B)

C)

D)

View Answer
172) The digit in the unit place of the number is:

A)

6

B)

7

C)

zero

D)

3

View Answer
173) If then at the function is:

A)

continuous but not differentiable

B)

differentiable but not continuous

C)

continuous and differentiable

D)

not continuous

View Answer
174) The perimeter of a sector is P. The area of the sector is maximum when its radius is:

A)

B)

C)

D)

View Answer
175) Which one of the following subsets of is a subgroup of

A)

B)

C)

D)

View Answer
176) The False statement in the following is:

A)

is contradiction

B)

is a contradiction

C)

P is a tautology

D)

is a tautology.

View Answer
177) In the groupunder addition modulo

A)

zero

B)

2

C)

3

D)

5

View Answer
178) The functionis:

A)

an even function

B)

an odd function

C)

a periodic function

D)

none of these

View Answer
179) The function is:

A)

increasing on and decreasing on

B)

decreasing on and increasing on

C)

increasing on and decreasing on

D)

decreasing on and increasing on

View Answer
180) The area of the circle centred at (1, 2) and passing through is:

A)

B)

C)

D)

none of these

View Answer