Solved papers for BCECE Engineering BCECE Engineering Solved Paper-2005

BCECE Engineering Solved Paper-2005 Total Questions - 150

1) Consider the following statements: The total energy of a particle executing simple harmonic motion depends on its:

(I) amplitude

(II) period

(III) displacement

Of these statements:

A)

\[\text{I}\] and \[\text{II}\] are correct

B)

\[\text{II}\] and \[\text{III}\] are correct

C)

\[\text{I}\] and \[\text{III}\] are correct

D)

\[\text{I, II }and\,\text{III}\,are\,correct\]

View Answer
2) The maximum velocity of a simple harmonic motion represented by \[y=3\sin \left( 100\,t+\frac{\pi }{6} \right)m\] is given by:

A)

300 m/s

B)

       \[\frac{\text{3}}{\text{6}}\text{m/s}\]

C)

       100 m/s

D)

       \[\frac{}{\text{6}}\text{m/s}\]

View Answer
3) When earth moves round the sun, the quantity which remains constant is:

A)

angular velocity

B)

                      kinetic energy

C)

       potential energy

D)

       areal velocity

View Answer
4) 1 kg body explodes into three fragments. The ratio of their masses is 1:1:3. The fragments of same mass move perpendicular to each other with speeds 30 m/s, while the heavier part remains in the initial direction. The speed of heavier part is:

A)

\[\frac{10}{\sqrt{2}}\text{m/s}\]

B)

       \[\text{10}\sqrt{2\,}\text{m/s}\]

C)

       \[\text{20}\sqrt{2\,}\text{m/s}\]

D)

       \[\text{30}\sqrt{2\,}\text{m/s}\]

View Answer
5) The dimensional formula for the gravitational constant is:

A)

\[\text{ }\!\![\!\!\text{ }{{\text{M}}^{\text{-1}}}{{\text{L}}^{\text{3}}}{{\text{T}}^{\text{-2}}}\text{ }\!\!]\!\!\text{ }\]

B)

       \[\text{ }\!\![\!\!\text{ ML}{{\text{T}}^{\text{-2}}}\text{ }\!\!]\!\!\text{ }\]

C)

       \[\text{ }\!\![\!\!\text{ M}{{\text{L}}^{2}}{{\text{T}}^{-2}}\text{ }\!\!]\!\!\text{ }\]

D)

       \[\text{ }\!\![\!\!\text{ }{{\text{M}}^{-1}}{{\text{L}}^{3}}\text{T }\!\!]\!\!\text{ }\]

View Answer
6) A particle is moving in a circle of radius R with constant speed v. If radius is doubled, then its centripetal force to keep the same speed gets:

A)

twice as great as before

B)

       half

C)

       one-fourth

D)

       remains constant

View Answer
7) If linear density of a rod of length 3 m varies as \[\lambda =2+x,\] then the position of the centre of gravity of the rod is:

A)

\[\frac{7}{3}m\]

B)

       \[\frac{12}{7}m\]

C)

       \[\frac{10}{7}m\]

D)

       \[\frac{9}{7}m\]

View Answer
8) A block of mass m initially at rest is dropped from a height h on to a spring of force constant k. The maximum compression in the spring is x then:

A)

\[mgh=\frac{1}{2}k\,{{x}^{2}}\]

B)

       \[mg(h+x)=\frac{1}{2}k\,{{x}^{2}}\]

C)

       \[mgh=\frac{1}{2}k\,{{(x+h)}^{2}}\]

D)

       \[mg(h+x)=\frac{1}{2}k\,{{(x+h)}^{2}}\]

View Answer
9) A ball of mass m moves with speed v and it strikes normally with a wall and reflected back normally. If its time of contact with wall is t, then find force exerted by ball on the wall.

A)

\[\frac{2mv}{t}\]

B)

       \[\frac{mv}{t}\]

C)

       \[mvt\]

D)

       \[\frac{mv}{2t}\]

View Answer
10) A wheel of radius 1m rolls forward half a revolution on a horizontal ground. The magnitude of the displacement of the point of the wheel initially in contact with the ground is :

A)

\[2\pi \]

B)

       \[\sqrt{2\pi }\]

C)

       \[\sqrt{{{\pi }^{2}}+4}\]

D)

       \[\pi \]

View Answer
11) Water is flowing in a pipe of diameter 4 cm with a velocity 3 m/s. The water then enters into a pipe of diameter 2 cm. The velocity of water in the other pipe is:

A)

3 m/s

B)

       6 m/s

C)

       12 m/s

D)

       8 m/s

View Answer
12) The surface tension of a liquid is 5 N/m. If a film is held on a ring of area \[0.02\,\,{{m}^{2}},\] its total surface energy is about:

A)

\[\text{2 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-2}}}\text{J}\]

B)

       \[\text{2}\text{.5 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-2}}}\text{J}\]

C)

       \[\text{2 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-1}}}\text{J}\]

D)

       \[\text{3 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-1}}}\text{J}\]

View Answer
13) A viscous fluid is flowing through a cylindrical tube. The velocity distribution of the fluid is best represented by the diagram:

A)



B)



C)



D)

       none of these

View Answer
14) A wire is stretched by 1 mm by a force of 1 k N. The work done in stretching the wire is :

A)

5 erg

B)

                       5 J

C)

       0.5 erg

D)

       0.5 J

View Answer
15) In isochoric process:

A)

\[\Delta U=\Delta Q\]

B)

       \[\Delta Q=\Delta W\]

C)

       \[\Delta U=\Delta W\]

D)

       none of these

View Answer
16) Which is not a path function?

A)

\[\Delta Q\]

B)

                       \[\Delta Q+\Delta W\]

C)

       \[\Delta W\]

D)

       \[\Delta Q-\Delta W\]

View Answer
17) The work done, V/during an isothermal process in which 1 mole of the gas expands from an initial volume \[{{V}_{1}}\] to a final volume \[{{V}_{2}}\] is given by: (R=gas constant, T= temperature)

A)

\[R({{V}_{2}}-{{V}_{1}}){{\log }_{e}}\left( \frac{{{T}_{1}}}{{{T}_{2}}} \right)\]

B)

       \[R({{T}_{2}}-{{T}_{1}}){{\log }_{e}}\left( \frac{{{V}_{2}}}{{{V}_{1}}} \right)\]

C)

       \[RT{{\log }_{e}}\left( \frac{{{V}_{2}}}{{{V}_{1}}} \right)\]

D)

       \[2RT{{\log }_{e}}\left( \frac{{{V}_{1}}}{{{V}_{2}}} \right)\]

View Answer
18) The P-V diagram of a system undergoing thermodynamic transformation is shown in figure. The work done by the system in going from\[A\to B\to C\] is 30 J, and 40 J heat is given to the system. The change in internal energy between A and C is:

A)

10 J

B)

       70 J

C)

       84 J

D)

       134 J

View Answer
19) The degrees of freedom of a molecule of a triatomic gas are:

A)

2

B)

       4

C)

       6

D)

       8

View Answer
20) Ozone layer blocks the radiations of wave- length:

A)

less than \[\text{3 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-7}}}\text{m}\]

B)

       equal to \[\text{3 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-7}}}\text{m}\]

C)

       more than \[\text{3 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-7}}}\text{m}\]

D)

       all of the above

View Answer
21) Two simple harmonic waves of the same amplitude and frequency differ by a phase\[\text{/2}\] When they are fed simultaneously to the X and Y-plates of a CRO, the screen would display the trace of:

A)

a circle

B)

                       an ellipse

C)

       a straight line

D)

       a square

View Answer
22) The speed of a wave is 360 m/s and frequency is 500 Hz. Phase difference between two consecutive particles is \[60{}^\circ \], then path difference between them will be:

A)

0.72 cm

B)

       120 cm

C)

       12 cm

D)

       7.2 cm

View Answer
23) A string of length 2 m is fixed at both ends. If this string vibrates in its fourth normal mode with a frequency of 500 Hz, then the waves would travel on it with a velocity of:

A)

125 m/s

B)

       250 m/s

C)

       500 m/s

D)

       1000 m/s

View Answer
24) The fundamental frequency of a sonometer wire is n. If its radius is doubled and its tension becomes half, the material of the wire remains same, the new fundamental frequency will be:

A)

\[n\]

B)

       \[\frac{n}{\sqrt{2}}\]

C)

       \[\frac{n}{2}\]

D)

       \[\frac{n}{2\sqrt{2}}\]

View Answer
25) In open organ pipe, if fundamental frequency is n, then the other frequencies are:

A)

n, 2 n, 3n, 4n

B)

       n, 3n, 5n

C)

       n, 2n, 4n, 8n

D)

       none of these

View Answer
26) A sound wave of frequency \[f\] propagating through air with a velocity c, is reflected from a surface which is moving away from the source with a constant speed v. The frequency of the reflected wave, measured by the observer at the position of the source, is:

A)

\[\frac{f(c-v)}{c+v}\]

B)

       \[\frac{f(c+v)}{c-v}\]

C)

       \[\frac{f(c+2v)}{c+v}\]

D)

       \[\frac{f(c-v)}{c-2v}\]

View Answer
27) A convex lens of focal length 10 cm and image formed by it, is at least distance of distinct vision then the magnifying power is:

A)

3.5

B)

       2.5

C)

       1.5

D)

       1.4

View Answer
28) If two +5 D, lenses are mounted at some distance apart, the equivalent power will always be negative, if the distance is:

A)

greater than 40 cm

B)

       equal to 40 cm

C)

       equal to 10 cm

D)

       less than 10 cm

View Answer
29) A Galilean telescope has an objective of focal length 100 cm and magnifying power 50. The distance between the two lenses in normal adjustment will be:

A)

98 cm

B)

       100 cm

C)

       150 cm

D)

       200 cm

View Answer
30) A film projector magnifies a \[100\,c{{m}^{2}}\] film strip on a screen. If the linear magnification is 4, the area of the magnified film on the screen is:

A)

\[1600\,c{{m}^{2}}\]

B)

       \[400\,c{{m}^{2}}\]

C)

       \[800\,c{{m}^{2}}\]

D)

       \[200\,c{{m}^{2}}\]

View Answer
31) The exposure time of a camera lens at\[f/2.8\] setting is 1/200 s. The correct exposure time at \[f/5.6\]setting is:

A)

0.02 s

B)

       0.04 s

C)

       0.20 s

D)

       0.40 s

View Answer
32) In Youngs double slit experiment, the slit width and the distance of slits from the screen both are doubled. The fringe width:

A)

increases

B)

       decreases

C)

       remains unchanged

D)

       none of the above

View Answer
33) In Youngs double slit experiment, the aperture screen distance is 2 m. The slit width is 1 mm. Light of 600 nm is used. If a thin plate of glass \[(\mu =1.5)\] of thickness 0.06 mm is placed over one of the slits, then there will be a lateral displacement of the fringes by:

A)

zero

B)

       6 cm

C)

       10 cm

D)

       15 cm

View Answer
34) A single slit is used to observe diffraction pattern with red light. on replacing the red light with violet light the diffraction pattern would:

A)

remain unchanged

B)

       become narrower

C)

       become broader

D)

       disappear

View Answer
35) The resistance of a discharge tube is:

A)

zero

B)

       ohmic

C)

       non-ohmic

D)

       infinity

View Answer
36) Which one of the following processes depends on gravity?

A)

Conduction

B)

                                      Convection

C)

       Radiation

D)

       None of the above

View Answer
37) The radius of solid metallic non-conducting sphere is 60 cm and charge on the sphere is \[500\,\mu C\]. The electric field at a distance 10 cm from centre of sphere is:

A)

\[2\times {{10}^{6}}\,N/C\]

B)

                       \[2\times {{10}^{8}}\,N/C\]

C)

       \[5\times {{10}^{6}}\,N/C\]

D)

       \[5\times {{10}^{8}}\,N/C\]

View Answer
38) The equivalent capacitance between the points A and B in the following circuit is:

A)

\[1\mu F\]

B)

       \[2\mu F\]

C)

       \[4\mu F\]

D)

       \[8\mu F\]

View Answer
39) The figure shows a network of currents. The magnitude of current is shown here. The current \[I\] will be:

A)

3 A

B)

       9 A

C)

       13 A

D)

       19 A

View Answer
40) If resistance of voltmeter is \[10000\,\Omega \] and resistance of galvanometer is \[2\,\,\Omega ,\] then find R when voltmeter reads 12 V and galvanometer reads 0.1 A.

A)

\[118\,\,\Omega \]

B)

       \[120\,\,\Omega \]

C)

       \[124\,\Omega \]

D)

       \[114\,\Omega \]

View Answer
41) Two bulbs 25 W, 220 V and 100 W, 220 V are given. Which has higher resistance?

A)

25 W bulb

B)

       100 W bulb

C)

       Both bulbs will have equal resistance

D)

       Resistance of bulbs cannot be compared

View Answer
42) An electron (mass \[9.1\times {{10}^{31}}\] kg, charge \[=1.6\times {{10}^{19}}C\]) experiences no deflection, if subjected to an electric field of \[3.2\times {{10}^{5}}V/m,\] and a magnetic field of \[2.0\times {{10}^{3}}\] \[Wb/{{m}^{2}}\]. Both the fields are normal to the path of electron and to each other. If the electric field is removed, then the electron will revolve in an orbit of radius:

A)

45 m

B)

       4.5 m

C)

       0.45 m

D)

       0.045 m

View Answer
43) An LCR circuit of R = 100 0 is connected to an AC source 100 V, 50 Hz. The magnitude of phase difference between current and voltage is \[30{}^\circ \]. The power dissipated in the LCR circuit is:

A)

50 W

B)

       86.6 W

C)

       100 W

D)

       200 W

View Answer
44) If half-life of radium is 77 days, its decay constant will be:

A)

\[\text{3 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-3}}}\text{/day}\]

B)

       \[\text{9 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-3}}}\text{/day}\]

C)

       \[\text{1 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-3}}}\text{/day}\]

D)

       \[\text{6 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-3}}}\text{/day}\]

View Answer
45) In a radioactive reaction\[_{92}{{X}^{232}}{{\to }_{82}}{{X}^{204}}\] the number of \[\alpha \]-particles emitted is:

A)

7

B)

       6

C)

       5

D)

       4

View Answer
46) According to Hubbles law, the red-shift (Z) of a receding galaxy and its distance r from aril are related as:

A)

\[Z\,\propto r\]

B)

       \[Z\,\propto \frac{1}{r}\]

C)

       \[Z\,\propto \frac{1}{{{r}^{2}}}\]

D)

       \[Z\,\propto {{r}^{3/2}}\]

View Answer
47) The de-Broglie wavelength of a body of mass m and kinetic energy E is given by:

A)

\[\lambda =\frac{h}{mE}\]

B)

       \[\lambda =\frac{\sqrt{2mE}}{h}\]

C)

       \[\lambda =\frac{h}{2mE}\]

D)

       \[\lambda =\frac{h}{\sqrt{2mE}}\]

View Answer
48) Different voltages are applied across a p-n junction and the currents are measured form each value. Which of die following graphs is obtained between voltage and current?

A)



B)



C)



D)



View Answer
49) A logic gate having two inputs A and B and output C has the following truth table

A B C

1 1 0

1 0 1

0 1 1

0 0 1

It is :

A)

an OR gate

B)

an AND gate

C)

a NOR gate

D)

a NAND gate

View Answer
50) For sky wave propagation of 10 MHz signal, what should be the minimum electron density in ionosphere?

A)

\[\sim 1.2\times {{10}^{12}}{{m}^{-3}}\]

B)

                                       \[\sim {{10}^{6}}{{m}^{-3}}\]

C)

       \[\sim {{10}^{14}}{{m}^{-3}}\]

D)

       \[\sim {{10}^{22}}{{m}^{-3}}\]

View Answer
51) The number of molecules of \[C{{O}_{2}}\]present in 44 g of \[C{{O}_{2}}\]is:

A)

\[6.0\times {{10}^{23}}\]

B)

\[3\times {{10}^{23}}\]

C)

\[12\times {{10}^{23}}\]

D)

       \[3\times {{10}^{10}}\]

View Answer
52) Magnitude of kinetic energy in an orbit is equal to:

A)

half of the potential energy

B)

twice of the potential energy

C)

one fourth of the potential energy

D)

none of the above

View Answer
53) A p-orbital in a given shell can accommodate upto:

A)

four electrons

B)

two electrons with parallel spin

C)

six electrons

D)

two electrons with opposite spin

View Answer
54) Which of the following is Heisenberg uncertainty principle?

A)

\[\Delta x.\Delta p\ge \frac{h}{4\pi }\]

B)

\[\Delta x.\Delta p=\frac{h}{4\pi }\]

C)

\[\Delta x.\Delta p\le \frac{h}{4\pi }\]

D)

\[\Delta x.\Delta p<\frac{h}{4\pi }\]

View Answer
55) Chromium is represented by the electronic configuration:

A)

\[\text{ }\!\![\!\!\text{ }Ne\text{ }\!\!]\!\!\text{ }3{{s}^{2}}\text{ }3{{P}^{6}}\text{ }3{{d}^{1}}\text{ }4{{s}^{2}}\]

B)

\[\text{ }\!\![\!\!\text{ }Ne\text{ }\!\!]\!\!\text{ }3{{s}^{2}}\text{ }3{{p}^{6}}\text{ }3{{d}^{2}}\text{ }4{{s}^{1}}\]

C)

\[\text{ }\!\![\!\!\text{ }Ne\text{ }\!\!]\!\!\text{ }3{{s}^{2}}\text{ }3{{p}^{6}}\text{ }3{{d}^{5}}\text{ }4{{s}^{1}}\]

D)

\[~[Ne]\text{ }3{{s}^{2}}\text{ }3{{p}^{6}}\text{ }4{{s}^{2}}\text{ }3{{d}^{4}}\]

View Answer
56) Number of neutron in \[{{C}^{12}}\]is:

A)

6

B)

7

C)

8

D)

       9

View Answer
57) H-bond is not present in:

A)

water

B)

glycerol

C)

hydrogen fluoride

D)

hydrogen sulphide.

View Answer
58) Oxidation number of S in\[SO_{4}^{2-}:\]

A)

+ 6

B)

+ 3

C)

+ 2

D)

       - 2

View Answer
59) 2 g of \[{{O}_{2}}\] at\[~27{{\,}^{o}}C\] and 760 mm of Hg pressure has volume:

A)

1.4 L

B)

2.8 L

C)

11.2 L

D)

       22.4 L

View Answer
60) If pressure increases then its effect on given equilibrium \[2NO(g){{N}_{2}}(g)+{{O}_{2}}(g)\] is shift in:

A)

forward direction

B)

backward direction

C)

no effect

D)

none of the above

View Answer
61) Which is Lewis base: \[{{I}_{2}}+{{I}^{-}}\xrightarrow{{}}{{I}_{3}}^{-}\]?

A)

\[{{I}_{2}}\]

B)

                       \[I_{3}^{-}\]

C)

\[{{I}^{-}}\]

D)

       None of these

View Answer
62) The heat of neutralization of any strong acid and a strong base is nearly equal to:

A)

\[-75.3\,kJ\]

B)

\[~+\,57.3\,kJ\]

C)

\[-57.3\,kJ\]

D)

       \[+\,75.3\,kJ\]

View Answer
63) pH of \[{{10}^{-8}}\,M\,HCl\]solution is:

A)

8

B)

       between 7 and 8

C)

between 6 and 7

D)

      between 8 and 9

View Answer
64) A reaction \[A\xrightarrow{{}}B\]follows a second order kinetic. Doubling the concentration of A will increase the rate of formation of B by a factor of:

A)

1/4

B)

4

C)

1/2

D)

       2

View Answer
65) Which of the following is always negative for exothermic reaction?

A)

\[\Delta H\]

B)

\[\Delta S\]

C)

\[\Delta G\]

D)

       None of these

View Answer
66) Unit of equivalent conductance is:

A)

\[oh{{m}^{-1}}\,c{{m}^{2}}\,{{(g-eq)}^{-1}}\]

B)

\[ohm\,cm\,(g-eq)\]

C)

\[ohm\,c{{m}^{2}}\,{{(g-eq)}^{-1}}\]

D)

\[oh{{m}^{-1}}\,cm\,{{(g-eq)}^{-1}}\]

View Answer
67) For cell reaction \[Zn+C{{u}^{2+}}\xrightarrow{{}}Z{{n}^{2+}}+Cu\] cell representation is:

A)

\[Zn|Z{{n}^{2+}}||C{{u}^{2+}}|Cu\]

B)

\[Cu|C{{u}^{2+}}||Z{{n}^{2+}}|Zn\]

C)

\[Cu|Z{{n}^{2+}}||Zn|C{{u}^{2+}}\]

D)

\[C{{u}^{2+}}|Zn||Z{{n}^{2+}}|Cu\]

View Answer
68) Molal solution means 1 mole of solute present in:

A)

\[1000\,g\]of solvent

B)

1 L of solvent

C)

1 L of solution

D)

       \[1000\,g\]of solution

View Answer
69) Which of the following shows maximum depression in freezing point?

A)

\[{{K}_{2}}S{{O}_{4}}\]

B)

\[NaCl\]

C)

Urea

D)

       Glucose

View Answer
70) An emulsion is a colloidal dispersion of:

A)

a liquid in a gas

B)

a liquid in a liquid

C)

a solid in a liquid

D)

a gas in a solid

View Answer
71) Size of colloidal particle is:

A)

\[1\,nm\]

B)

       \[1-100\,nm\]

C)

\[<\,100\,nm\]

D)

       \[>\,100\,nm\]

View Answer
72) Ether show isomerism with:

A)

alcohol

B)

ethane

C)

halide

D)

       aldehyde

View Answer
73) Which of the following shows geometrical isomerism?

A)

\[{{C}_{2}}{{H}_{5}}Br\]

B)

\[(C{{H}_{2}}){{(COOH)}_{2}}\]

C)

\[{{(CH)}_{2}}{{(COOH)}_{2}}\]

D)

\[{{C}_{2}}{{H}_{6}}\]

View Answer
74) Which of the following is present in natural gas?

A)

\[n-\]butane

B)

Ethane

C)

Methane

D)

       Propane

View Answer
75) Which of the following have delocalized electron?

A)

Benzene

B)

       Cyclohexane

C)

\[C{{H}_{4}}\]

D)

       \[{{C}_{2}}{{H}_{6}}\]

View Answer
76) Nitration of benzene is:

A)

electrophilic substitution

B)

electrophilic addition

C)

nucleophilic substitution

D)

nucleophilic addition

View Answer
77) Alkyl halide can be converted into alkene by:

A)

nucleophilic substitution reaction

B)

elimination reaction

C)

both nucleophilic substitution and elimination reaction

D)

rearrangement

View Answer
78) Which of the following compounds is most acidic?

A)

\[C{{H}_{4}}\]

B)

\[{{C}_{2}}{{H}_{6}}\]

C)

\[CH\equiv CH\]

D)

       \[{{C}_{2}}{{H}_{5}}OH\]

View Answer
79) Which of the following reacts with \[KMn{{O}_{4}}\]but does not react with\[AgN{{O}_{3}}\]?

A)

\[{{C}_{2}}{{H}_{6}}\]

B)

\[C{{H}_{4}}\]

C)

\[{{C}_{2}}{{H}_{4}}\]

D)

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

View Answer
80) Which of the following compound does not show anti-Markownikoffs addition?

A)

Propene

B)

1-butene

C)

2-butene

D)

       2-pentene

View Answer
81) Methyl ketone is identified by:

A)

lodoform test

B)

Fehling solution

C)

Tollens reagent

D)

Schiffs reagent

View Answer
82) Which of the following does not give Fehling solution test?

A)

Acetone

B)

                       Propanal

C)

Ethanal

D)

       Butanal

View Answer
83) Cyanide group on hydrolysis gives:

A)

acid

B)

       acetamide

C)

amine

D)

       hydrate

View Answer
84) In alkyl cyanide alkyl group attached with:

A)

C of CN group

B)

N of CN group

C)

          either C or N of CN group

D)

both C and N of CN group

View Answer
85) Fat on hydrolysis gives which alcohol

A)

Glycerol

B)

Propanol

C)

Butanol

D)

       Ethanol

View Answer
86) Which of the following is natural polymer?

A)

PVC

B)

Nylon 66

C)

Teflon

D)

       Cellulose

View Answer
87) Condensation product of caprolactum is:

A)

Nylon 6

B)

Nylon 66

C)

Nylon 60

D)

       Nylon 6, 10

View Answer
88) Which inert gas have highest boiling point

A)

\[Xe\]

B)

\[Ar\]

C)

Kr

D)

       He

View Answer
89) In Ostwald process of manufacturing of \[\text{HN}{{\text{O}}_{\text{3}}}\text{,}\]catalyst used is:

A)

Mo

B)

Fe

C)

Mn

D)

       Pt

View Answer
90) Important ore of Mg is:

A)

Gypsum

B)

Camallite

C)

Magnatide

D)

       Camolite

View Answer
91) Purification of Al by electrolysis method is called:

A)

Halls process

B)

Baeyer process

C)

Ostwald process

D)

Hoopes process

View Answer
92) Decreasing size of ions is:

A)

\[\text{I}\,\text{}\,{{\text{I}}^{-}}>{{I}^{+}}\]

B)

\[\text{I}{{\,}^{-}}\text{}\,\text{I}>{{I}^{+}}\]

C)

\[\text{I}{{\,}^{+}}\text{}\,{{\text{I}}^{-}}>I\]

D)

       \[\text{I}\,\text{}\,{{\text{I}}^{+}}>{{I}^{-}}\]

View Answer
93) Which of the following is kept in water?

A)

White phosphorus

B)

Sodium

C)

Potassium

D)

       Calcium

View Answer
94) When heated\[N{{H}_{3}}\] is passed over\[CuO\]gas evolved is:

A)

\[{{N}_{2}}\]

B)

\[{{N}_{2}}O\]

C)

\[HN{{O}_{3}}\]

D)

       \[N{{O}_{2}}\]

View Answer
95) Formula of hypophosphorus acid is:

A)

\[H-\underset{H}{\overset{O}{\mathop{\underset{||}{\overset{||}{\mathop{P}}}\,}}}\,-OH\]

B)

\[HO-\underset{OH}{\overset{O}{\mathop{\underset{||}{\overset{||}{\mathop{P}}}\,}}}\,-OH\]

C)

\[H-\underset{H}{\overset{O}{\mathop{\underset{||}{\overset{||}{\mathop{P}}}\,}}}\,=OH\]

D)

\[H-\underset{OH}{\overset{O}{\mathop{\underset{|}{\overset{||}{\mathop{P}}}\,}}}\,-OH\]

View Answer
96) Most powerful reducing agent is:

A)

\[Li\]

B)

\[Na\]

C)

\[Ca\]

D)

       \[Mg\]

View Answer
97) When calomel reacts with \[N{{H}_{4}}OH\]solution the compound formed is:

A)

\[N{{H}_{2}}-Hg-Cl\]

B)

\[H{{g}_{2}}C{{l}_{2}}N{{H}_{3}}\]

C)

\[Hg{{(N{{H}_{3}})}_{2}}C{{l}_{2}}\]

D)

\[HgC{{l}_{2}}N{{H}_{3}}\]

View Answer
98) Which of the following is colored compound?

A)

\[Cu{{F}_{2}}\]

B)

\[CuI\]

C)

\[NaCI\]

D)

       \[MgC{{l}_{2}}\]

View Answer
99) \[{{H}_{2}}{{O}_{2}}\]is formed by which of the following compounds?

A)

\[N{{a}_{2}}{{O}_{2}}\]

B)

\[NaOH\]

C)

\[N{{a}_{2}}O\]

D)

       \[K{{O}_{2}}\]

View Answer
100) Copper sulphate solution reacts with KCN and gives:

A)

\[{{K}_{3}}[Cu{{(CN)}_{4}}]\]

B)

\[CuCN\]

C)

\[Cu{{(CN)}_{2}}\]

D)

\[{{K}_{2}}[Cu{{(CN)}_{4}}]\]

View Answer
101) If \[A\subseteq B,\]then \[B\cup A\]is equal to:

A)

\[B\cap A\]

B)

A

C)

B

D)

       none of these

View Answer
102) The real value of \[\alpha \]for which the expression \[\frac{1-i\sin \alpha }{1+2i\,\sin \alpha }\] is purely real, is:

A)

\[(2n+1)\frac{\pi }{2}\]

B)

       \[(n+1)\frac{\pi }{2}\]

C)

       \[n\pi \]

D)

       none of these

View Answer
103) The medians AD and BE of the triangle with vertices A (0, b), B (0, 0) and C (a, 0) are mutually perpendicular, if:

A)

\[b=a\]

B)

       \[b=-2\sqrt{a}\]

C)

       \[a=\pm \sqrt{2b}\]

D)

       \[b=\sqrt{2}\,a\]

View Answer
104) The equation of line parallel to the tangent to the circle \[{{x}^{2}}+{{y}^{2}}={{r}^{2}}\]at the point \[({{x}_{1}},{{y}_{1}})\] and passing through origin, is:

A)

\[x{{y}_{1}}+{{x}_{1}}y=0\]

B)

       \[x{{x}_{1}}-y{{y}_{1}}=0\]

C)

                       \[x{{x}_{1}}+y{{y}_{1}}=0\]

D)

       \[xy-{{x}_{1}}y=0\]

View Answer
105) \[\sin {{200}^{o}}+\cos {{200}^{o}}\]is:

A)

positive

B)

       negative

C)

       zero

D)

       zero or positive

View Answer
106) The principal value of \[{{\sin }^{-1}}\left( -\frac{\sqrt{3}}{2} \right)\]is:

A)

\[\frac{4\pi }{3}\]

B)

       \[\frac{5\pi }{3}\]

C)

\[-\frac{2\pi }{3}\]

D)

       \[-\frac{\pi }{3}\]

View Answer
107) If \[xy+yz+zx=1,\]then \[\sum{\frac{x+y}{1-xy}}\]is equal to:

A)

\[\frac{4}{xyz}\]

B)

       \[\frac{1}{xyz}\]

C)

       \[~xyz\]

D)

       none of these

View Answer
108) A vertical pole (more than 100 m high) consists of two portions, the lower being one-third of the whole. If the upper portion subtends an angle \[{{\tan }^{-1}}\frac{1}{2}\]at a point in a horizontal plane through the foot of the pole and distance 40 ft from it, then the height of the pole is:

A)

100 ft

B)

       120 ft

C)

       150 ft

D)

       none of these

View Answer
109) When   the   three   coins   are   tossed simultaneously, then the probability of getting one head will be:

A)

\[\frac{3}{7}\]

B)

       \[\frac{1}{7}\]

C)

\[\frac{3}{8}\]

D)

       \[\frac{7}{8}\]

View Answer
110) The cosine of the angle between any two diagonals of a cube is:

A)

\[\frac{1}{3}\]

B)

       \[\frac{1}{2}\]

C)

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

D)

       \[\frac{1}{\sqrt{3}}\]

View Answer
111) If\[f\]is any function, then \[\frac{1}{2}[f(x)+f(-x)]\]is always:

A)

odd

B)

even

C)

neither even nor odd

D)

one-one

View Answer
112) If \[f(x)=\log \left( \frac{1+x}{1-x} \right)\]and \[g(x)=\frac{3x+{{x}^{3}}}{1+3{{x}^{2}}},\]then \[f(g(x))\]is equal to:

A)

\[f(3x)\]

B)

\[{{(f(x))}^{3}}\]

C)

\[3f(x)\]

D)

\[-f(x)\]

View Answer
113) \[\underset{x\to 0}{\mathop{\lim }}\,[\cos x]\]is equal to:

A)

\[-1\]

B)

       1

C)

0

D)

       none of these

View Answer
114) \[\frac{d}{dx}({{\sin }^{-1}}2x\sqrt{1-{{x}^{2}}})\]is equal to:

A)

\[-\frac{2}{\sqrt{1-{{x}^{2}}}}\]

B)

\[\frac{2}{\sqrt{1-{{x}^{2}}}}\]

C)

       \[cos\,2x\]

D)

       none of these

View Answer
115) \[\int_{0}^{\pi /2}{|\sin x-\cos x|}\,dx\] is equal to:

A)

\[2(\sqrt{2}+1)\]

B)

       \[\sqrt{2}-1\]

C)

       \[2(\sqrt{2}-1)\]

D)

       0

View Answer
116) If p and q are the roots of the equation \[{{x}^{2}}+pq=(p+1)x,\], then \[q\]is equal to:

A)

\[~-1\]

B)

       2

C)

       1

D)

       \[-2\]

View Answer
117) If a line lies in the octant OXYZ and it makes equal angle with the axes, then:

A)

\[l=m=n=\frac{1}{\sqrt{3}}\]

B)

       \[l=m=n=\pm \frac{1}{\sqrt{3}}\]

C)

       \[l=m=n=-\frac{1}{\sqrt{3}}\]

D)

       \[l=m=n=\pm \frac{1}{\sqrt{2}}\]

View Answer
118) If a, b, c are in AP, a, mb, c are in GP, then \[a,{{m}^{2}}b,c\]care in:

A)

HP

B)

GP

C)

       AP

D)

       none of these

View Answer
119) If \[p\Rightarrow (q\vee r)\]is false, then the truth values of p, q, r are respectively:

A)

\[T,F,F\]

B)

       \[F,F,F\]

C)

       \[~F,T,T\]

D)

       \[T,T,F\]

View Answer
120) In the expansion of \[{{(3x+2)}^{4}}\] the coefficient of middle term is:

A)

36

B)

       216

C)

54

D)

       81

View Answer
121) For any \[2\times 2\]matrix A, if \[A(adj\,A)=\left[ \begin{matrix}    10 & 0 \\    0 & 10 \\ \end{matrix} \right],\] then | A | i.e., det A is equal to:

A)

20

B)

       100

C)

10

D)

       0

View Answer
122) The vectors \[\vec{a}=3\hat{i}-\hat{k},\vec{b}=\hat{i}+2\hat{j}\]are adjacent sides of a parallelogram. Its area is:

A)

\[\frac{1}{2}\sqrt{7}\]

B)

\[\sqrt{41}\]

C)

       \[\frac{1}{2}\sqrt{41}\]

D)

       \[\frac{1}{2}\sqrt{17}\]

View Answer
123) If a, b, care elements of a boolean algebra, then \[a.b+c(a+b)\]is equal to:

A)

\[a.b\]

B)

       c

C)

                \[a\,.\,b+c\]

D)

       none of these

View Answer
124) \[(\vec{a}+\vec{b}).(\vec{a}-\vec{b})=0\]implies that:

A)

\[\vec{a}=-\vec{b}\]

B)

\[\vec{a}\ne \vec{b}\]

C)

       \[|\vec{a}|=|\vec{b}|\]

D)

       \[\vec{a}=\vec{b}\]

View Answer
125) 3 persons have 4 coats, 5 waist coats and 6 hats. The number of ways in which they put on the clothes are:

A)

\[{{4}^{3}}\times {{5}^{3}}\times {{6}^{3}}\]

B)

       \[4\times 5\times 6\]

C)

         \[4!5!6!\]

D)

       none of these

View Answer
126) If an integer p is chosen at random in the interval \[0\le p\le 5,\]the probability that the roots of the equation \[{{x}^{2}}+px+\frac{p}{4}+\frac{1}{2}=0\] are real, is:

A)

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

B)

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

C)

\[\frac{3}{5}\]

D)

       none of these

View Answer
127) \[\int_{0}^{1}{x{{(1-x)}^{4}}dx}\]is equal to:

A)

1

B)

       0

C)

\[\frac{1}{30}\]

D)

       \[\frac{1}{5}\]

View Answer
128) The function\[f(x)=2-3x\]is:

A)

increasing

B)

decreasing

C)

neither decreasing nor increasing

D)

none of the above

View Answer
129) The value of \[\int_{0}^{\pi /2}{\frac{\frac{\pi }{4}-x}{\sqrt{\sin x+\cos x}}dx}\]is:

A)

\[\frac{\pi \sqrt{3}}{4}\]

B)

       \[\frac{\pi }{4\sqrt{2}}\]

C)

       0

D)

       none of these

View Answer
130) If \[y=\sqrt{x+\sqrt{x+\sqrt{x+....\infty ,}}}\]then \[\frac{dy}{dx}\]is equal to:

A)

\[\frac{1}{2y+1}\]

B)

       \[\frac{1}{2y-1}\]

C)

\[\frac{1}{xy}\]

D)

       1

View Answer
131) If \[f:A\to B\]is a bijection, then:

A)

\[n(A)=n(B)\]

B)

                       \[n(A)\le n(B)\]

C)

                       \[n(A)\ge n(s)\]

D)

       none of these

View Answer
132) The equation of a straight line passing through \[(-3,2)\] and cutting an intercept equal in magnitude but opposite in sign from axis, is given by:

A)

\[x-y+5=0\]

B)

       \[x+y-5=0\]

C)

       \[~x-y-5=0\]

D)

       \[~x+y+5=0\]

View Answer
133) If \[\frac{2{{z}_{1}}}{3{{z}_{2}}}\]is a purely imaginary number, then \[\left| \frac{{{z}_{1}}-{{z}_{2}}}{{{z}_{1}}+{{z}_{2}}} \right|\]is equal to:

A)

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

B)

       1

C)

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

D)

       \[\frac{4}{9}\]

View Answer
134) If \[pth,\text{ }qth,\text{ }rth,\text{ }sth\]terms of an arithmetic progression axe in geometric progression, then \[p-q,\,q-r\] and \[r-s\]are in:

A)

HP

B)

       GP

C)

AP

D)

       no particular order

View Answer
135) Two bodies are projected from the same point with the same velocity but in different directions. If the range in each case be R and times of flight be \[{{t}_{1}}\]and \[{{t}_{2}},\]then R is equal to:

A)

\[\frac{1}{2}g\,{{t}_{1}}{{t}_{2}}\]

B)

       \[g\,{{t}_{1}}{{t}_{2}}\]

C)

       \[\frac{1}{4}g\,{{t}_{1}}{{t}_{2}}\]

D)

       \[2g\,{{t}_{1}}{{t}_{2}}\]

View Answer
136) The reciprocal of the eccentricity of rectangular hyperbola is:

A)

\[\frac{1}{\sqrt{2}}\]

B)

       \[\sqrt{2}\]

C)

\[\frac{1}{2}\]

D)

       2

View Answer
137) If \[y=\frac{{{a}^{{{\cos }^{-1}}x}}}{1+{{a}^{{{\cos }^{-1}}x}}},z={{a}^{{{\cos }^{-1}}x}},\]then \[\frac{dy}{dx}\]is equal to:

A)

\[\frac{1}{1+{{a}^{{{\cos }^{-1}}x}}}\]

B)

       \[\frac{1}{{{(1+{{a}^{{{\cos }^{-1}}x}})}^{2}}}\]

C)

       \[\frac{-1}{1+{{a}^{{{\cos }^{-1}}x}}}\]

D)

       none of these

View Answer
138) The value of \[\sin {{600}^{o}}\,\cos {{330}^{o}}+\cos {{120}^{o}}\sin {{150}^{o}}\]is:

A)

1

B)

       \[-1\]

C)

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

D)

       \[\frac{1}{\sqrt{2}}\]

View Answer
139) The area of circle whose centre is \[(h,k)\] and radius a is:

A)

\[\pi {{a}^{2}}hk\,\text{sq}\,\text{unit}\]

B)

\[\pi {{a}^{2}}\,\text{sq}\,\text{unit}\]

C)

\[\pi ({{h}^{2}}+{{k}^{2}}-{{a}^{2}})\text{sq}\,\text{unit}\]

D)

none of the above

View Answer
140) If \[\left[ \begin{matrix}    3 & 1 \\    4 & 1 \\ \end{matrix} \right]X=\left[ \begin{matrix}    5 & -1 \\    2 & 3 \\ \end{matrix} \right]\], then X is equal to:

A)

\[\left[ \begin{matrix}    -3 & 4 \\    -4 & 13 \\ \end{matrix} \right]\]

B)

       \[\left[ \begin{matrix}    3 & 4 \\    14 & 13 \\ \end{matrix} \right]\]

C)

       \[\left[ \begin{matrix}    -3 & 4 \\    14 & -13 \\ \end{matrix} \right]\]

D)

       \[\left[ \begin{matrix}    3 & -4 \\    -14 & 13 \\ \end{matrix} \right]\]

View Answer
141)  If\[\vec{a},\vec{b},\vec{c}\] are coplanar vectors, then \[[\vec{a}+\vec{b}\vec{b}+\vec{c}\vec{c}+\vec{a}]\] is equal to:

A)

\[2|\vec{a}\vec{b}\vec{c}|\]

B)

       \[|\vec{a}\vec{b}\vec{c}|\]

C)

       \[3|\vec{a}\vec{b}\vec{c}|\]

D)

       0

View Answer
142) If the resultant of two unlike parallel forces of magnitudes 10 N and 16 N act along a line at a distance of 24 cm from the line of action of the smaller force is 8 N, then the distance between the lines of action of the force is:

A)

12 cm

B)

       8 cm

C)

       10.66 cm

D)

18 cm

View Answer
143) The resultant of two forces \[\vec{P}\]and \[\vec{Q}\]is of magnitude P. If the force \[\vec{P}\] is doubled, \[\vec{Q}\]remaining unaltered, then the new resultant will be:

A)

along \[\vec{P}\]

B)

       along \[\vec{Q}\]

C)

       at \[{{60}^{o}}\]to\[\vec{Q}\]

D)

       at right angle to \[\vec{Q}\]

View Answer
144) If the ratio of the sum of m and \[n\]terms of an AP is \[{{m}^{2}}:{{n}^{2}},\]then the ratio of its \[mth\]and \[nth\]terms is:

A)

\[m-1:n-1\]

B)

       \[2m+1:2n+1\]

C)

       \[2m-1:2n-1\]

D)

       none of these

View Answer
145) A body. dropped from a height \[h\]at time \[t=0\]reaches the ground at tune \[{{t}_{0}}.\]would have reached a height \[h/2\]at time:

A)

\[\frac{{{t}_{0}}}{2}\]

B)

       \[\frac{{{t}_{0}}}{\sqrt{2}}\]

C)

\[t_{0}^{2}\]

D)

       \[\frac{1}{t_{0}^{2}}\]

View Answer
146) The area in the first quadrant between \[{{x}^{2}}+{{y}^{2}}={{\pi }^{2}}\]and \[y=\sin x\]is:

A)

\[\frac{{{\pi }^{3}}}{4}sq\]unit

B)

       \[\frac{{{\pi }^{3}}-16}{4}\text{sq}\,\text{unit}\]

C)

       \[\frac{{{\pi }^{3}}-8}{2}\text{sq}\,\text{unit}\]

D)

       \[\frac{{{\pi }^{3}}-8}{4}sq\,unit\]

View Answer
147) In triangle ABC, if\[~3a=b+c,\] then \[\cot \frac{B}{2}\cot \frac{C}{2}\] is equal to:

A)

\[\sqrt{3}\]

B)

       1

C)

       2

D)

       3

View Answer
148) If \[f(x)=2x+{{\cot }^{-1}}x+\log (\sqrt{1+{{x}^{2}}}-x),\]then \[f(x)\]:

A)

increases in \[(-\infty ,\infty )\]

B)

decreases in \[(0,\infty )\]

C)

neither increases nor decreases in \[(0,\infty )\]

D)

sometimes increases and sometimes decreases

View Answer
149) The series \[(1+3){{\log }_{e}}3+\frac{1+{{3}^{2}}}{2!}{{({{\log }_{e}}3)}^{2}}\]\[+\frac{1+{{3}^{2}}}{3!}{{({{\log }_{e}}3)}^{2}}+...\]is equal to:

A)

28

B)

                       30

C)

       25

D)

       0

View Answer
150) \[\int_{{}}^{{}}{\frac{\cos 4x-1}{\cot x-\tan x}}dx\]is equal to:

A)

\[-\frac{1}{2}\cos 4x+c\]

B)

       \[-\frac{1}{4}\cos 4x+c\]

C)

                       \[-\frac{1}{2}\sin 2x+c\]

D)

       none of these

View Answer