Solved papers for BCECE Engineering BCECE Engineering Solved Paper-2009

BCECE Engineering Solved Paper-2009 Total Questions - 150

1) A rectangular coil of 100 turns and size \[0.1\times 0.05\] m is placed perpendicular to a magnetic field of 0.1 T. The induced emf when the field drops to 0.05 T in 0.05 s is

A)

0.5 V

B)

1.0 V

C)

1.5 V

D)

       2.0 V

View Answer
2) A paramagnetic substance is placed in a weak magnetic field and its absolute temperature T is increased. As a result, its magnetization

A)

increases in proportion to T

B)

decreases in proportion to \[\frac{1}{T}\]

C)

increases in proportion to\[{{T}^{2}}\]

D)

decreases in proportion to \[\frac{1}{{{T}^{2}}}\]

View Answer
3) The current through n bulb is increased by. Assuming that the resistance of the filament remains unchanged the power of the bulb will

A)

increase by 1%

B)

decrease by 1%

C)

increase by 2%

D)

decrease by 2%

View Answer
4) You are given two resistances \[{{R}_{1}}\] and\[{{R}_{2}}\] By using them singly in series and In parallel you can obtain four resistances of \[1.5\,\Omega ,\,2\,\Omega ,\,6\,\Omega \] and 8 \[\Omega .\] The values of \[{{R}_{1}}\] and \[{{R}_{2}}\] are

A)

\[1\,\,\Omega ,\,7\,\Omega \]

B)

       \[1.5\,\,\Omega ,\,6.5\,\Omega \]

C)

\[3\,\,\Omega ,\,5\,\Omega \]

D)

       \[2\,\,\Omega ,\,6\,\Omega \]

View Answer
5) A wire often the \[l\] carrying a current \[I\] A is bent into a circle. The magnitude of the magnetic moment is

A)

\[\frac{l{{I}^{2}}}{2\pi }\]

B)

\[\frac{l{{I}^{2}}}{4\pi }\]

C)

\[\frac{{{l}^{2}}I}{2\pi }\]

D)

       \[\frac{{{l}^{2}}I}{4\pi }\]

View Answer
6) A parallel beam of white light is reflected from a thin wedge-shaped film. The colour of the fringe the edge of the wedge will be

A)

white

B)

red

C)

       black

D)

       violet

View Answer
7) An object is placed at the focus of a convex mirror. If its focal length is 20 cm, the distance of mirror is

A)

20 cm

B)

10 cm

C)

40 cm

D)

       None of these

View Answer
8) A convex lens of glass (\[\mu =1\] of 8 cm when place in has a focal length of lens when air. What is the focal \[\left( \mu =\frac{4}{3} \right)?\]

A)

\[4cm\]

B)

\[8\,cm\]

C)

\[16\,cm\]

D)

       \[32\,cm\]

View Answer
9) An LCR series circuit, connected to a source E, is resonance. Then

A)

the voltage across R is zero

B)

the voltage across R equals applied voltage

C)

the voltage across C is zero

D)

the voltage across L equals applied voltage

View Answer
10) What will be the colour of the sky as seen from the earth if there were no atmosphere?

A)

Black

B)

Blue

C)

Orange

D)

       Red

View Answer
11) In a single slit diffraction experiment, the width of the slit is made double its original width. Then the central maximum on the diffraction pattern will become

A)

narrower and fainter

B)

narrower and brighter

C)

broader and fainter

D)

broader and brighter

View Answer
12) An \[\alpha -\]particle and a deuteron projected with equal kinetic energies describe circular paths or radii \[{{r}_{1}}\] and\[{{r}_{2}}\] respectively in a uniform magnetic field. The ratio\[{{\text{r}}_{\text{1}}}\text{/}{{\text{r}}_{\text{2}}}\] is

A)

1

B)

2

C)

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

D)

       \[\sqrt{2}\]

View Answer
13) The energy in monochromatic X-rays of wavelength \[1\,\overset{\text{o}}{\mathop{\text{A}}}\,\] is roughly equal to

A)

\[\text{2 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-15}}}\text{J}\]

B)

\[\text{2 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-16}}}\text{J}\]

C)

\[\text{2 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-17}}}\text{J}\]

D)

       \[\text{2 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-18}}}\text{J}\]

View Answer
14) The de-Broglie wavelength of a neutron at 927°C is \[\lambda \]. What will be its wavelength at 27°C?

A)

\[\frac{\lambda }{2}\]

B)

\[\lambda \]

C)

\[2\lambda \]

D)

                       None of these

View Answer
15) A telescope has an objective of focal length 100 cm and an eye-piece of focal length 5 cm. What is the magnifying power of the telescope when it is in normal adjustment?

A)

0.2

B)

2.0

C)

20

D)

       200

View Answer
16) An isotropic source of 2 candela produces a light flux equal to

A)

\[2\pi \] lumen

B)

\[4\pi \] lumen

C)

\[6\pi \] lumen

D)

       \[8\pi \] lumen

View Answer
17) No photoelectrons are emitted from a metal if the wavelength of the light exceeds 600 nm. The work function of the metal is approximately equal to

A)

\[\text{3 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-16}}}\text{J}\]

B)

\[\text{3 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-19}}}\text{J}\]

C)

\[\text{3 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-20}}}\text{J}\]

D)

       \[\text{3 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-22}}}\text{J}\]

View Answer
18) In Rutherfords\[\alpha -\]particle experiment with thin gold foil, 8100 scintillations per minute are observed at an angle of 60°. The number of scintillations per minute at an angle of 120° will be

A)

900

B)

2025

C)

32400

D)

       4050

View Answer
19) Which of the following gates has the truth table

A B X

0 0 1

1 0 1

0 1 1

1 1 0

A)

NAND

B)

NOR

C)

XOR

D)

AND

View Answer
20) Which of the junction diodes shown below are forward biased?

A)

B)

C)

D)

View Answer
21) A uniform rod or mass m and length l is held \[{{60}^{\text{o}}}\] with the vertical. . What will be the potential this position?

A)

Zero

B)

\[\frac{mgl}{4}\]

C)

\[\frac{mgl}{2}\]

D)

       \[mgl\]

View Answer
22) A sphere roils down an inclined plane without slipping. What fraction of its total energy is rotational?

A)

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

B)

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

C)

\[\frac{4}{7}\]

D)

       \[\frac{5}{7}\]

View Answer
23) 23.      From the top of a building 40 m tall, a boy projects a Stone vertically upwards with an initial velocity \[10\,m{{s}^{-1}}\] such that it eventually falls to the ground. After how long will the stone strike the ground? Take \[g=10\,m{{s}^{-2}}\]

A)

1 s

B)

2 s

C)

3 s

D)

       4 s

View Answer
24) A 150 m long train is travelling from east to west at a speed of \[20\,m{{s}^{-1}}\]. A bird is flying from west to east at a speed of \[5\,m{{s}^{-1}}\]. How long wilt the bird take to cross the train?

A)

6 s

B)

       7.5 s

C)

10 s

D)

       30 s

View Answer
25) An elastic spring has a length \[{{l}_{1}}\] when it is stretched with a force of 2 N and a length of \[{{l}_{2}}\] when it is stretched with a force of 3N. What will be the length of the spring if it is stretched with force of 5N?

A)

\[(l{{ }_{1}}+{{l}_{2}})\]

B)

\[\frac{1}{2}(l{{ }_{1}}+{{l}_{2}})\]

C)

\[(3l{{ }_{2}}-2{{l}_{1}})\]

D)

\[(3l{{ }_{1}}-2{{l}_{2}})\]

View Answer
26) The density of water at the surface of ocean is \[\rho \] If the bulk modulus of water is B, what is the density of ocean water at a depth where the pressure is\[n{{p}_{0,}}\] where\[{{p}_{0,}}\] is the atmospheric pressure?

A)

\[\frac{\rho B}{B-(n-1){{P}_{0}}}\]

B)

       \[\frac{\rho B}{B+(n-1)P0}\]

C)

\[\frac{\rho B}{B-n{{P}_{0}}}\]

D)

       \[\frac{\rho B}{B+n{{P}_{0}}}\]

View Answer
27) What is the torque of force \[\mathbf{\hat{F}}=-3\mathbf{\hat{i}}+\mathbf{\hat{j}}+5\mathbf{\hat{k}}\] acting at point whose position vector is\[\mathbf{\vec{r}}=7\mathbf{\hat{i}}+3\mathbf{\hat{j}}+\mathbf{\hat{k}}?\]

A)

\[14\mathbf{\hat{i}}-38\mathbf{\hat{j}}+16\mathbf{\hat{k}}\]

B)

\[4\mathbf{\hat{i}}+4\mathbf{\hat{j}}+6\mathbf{\hat{k}}\]

C)

\[-14\mathbf{\hat{i}}+38\mathbf{\hat{j}}-6\mathbf{\hat{k}}\]

D)

\[-21\mathbf{\hat{i}}+3\mathbf{\hat{j}}+5\mathbf{\hat{k}}\]

View Answer
28) Two satellites of masses 3M and M orbit the earth in circular orbits of radii r and 3r respectively. The ratio of their speeds is

A)

1 : 1

B)

       \[\sqrt{3}\]: 1

C)

3 : 1

D)

       9 : 1

View Answer
29) The dimensions of Reynoldss constant are

A)

\[\text{ }\!\![\!\!\text{ }{{\text{M}}^{\text{o}}}{{\text{L}}^{\text{o}}}{{\text{T}}^{\text{o}}}\text{ }\!\!]\!\!\text{ }\]

B)

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

C)

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

D)

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

View Answer
30) The surface tension of soap solution is \[\sigma \]. What is the work done in blowing soap bubble of radius r?

A)

\[\pi {{r}^{2}}\sigma \]

B)

       \[2\pi {{r}^{2}}\sigma \]

C)

       \[4\pi {{r}^{2}}\sigma \]

D)

       \[8\pi {{r}^{2}}\sigma \]

View Answer
31) The ratio of nns speed of \[{{O}_{2}}\] to \[{{H}_{2}}\] is

A)

\[\frac{1}{4}\]

B)

       4

C)

2

D)

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

View Answer
32) Two rods A and B of different materials are welded together as shown in figure. If their thermal conductivities are \[{{K}_{1}}\] and\[{{K}_{2}}\] the thermal conductivity of the composite rod will be

A)

\[2({{K}_{1}}+{{K}_{2}})\]

B)

\[\frac{3}{2}({{K}_{1}}+{{K}_{2}})\]

C)

       \[({{K}_{1}}+{{K}_{2}})\]

D)

       \[\frac{1}{2}({{K}_{1}}+{{K}_{2}})\]

View Answer
33) The wavelength of the radiation emitted by a body depends upon

A)

the nature of its surface

B)

the area of its surface

C)

the temperature of its surface

D)

All the above factors

View Answer
34) An ideal monoatomic gas is taken around the cycle ABCDA as shown in the p- V diagram. The work done during the cycle is given by

A)

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

B)

\[pV\]

C)

\[2pV\]

D)

\[4pV\]

View Answer
35) An ideal gas at pressure p is adiabaticalty compressed so that its density becomes n times the initial value. The final pressure of the gas will be\[\left( \gamma =\frac{{{C}_{P}}}{{{C}_{V}}} \right)\]

A)

\[{{n}^{\gamma }}P\]

B)

                                       \[{{n}^{-\gamma }}P\]

C)

\[{{n}^{(-\gamma -1)}}P\]

D)

       \[{{n}^{(1-\gamma )}}P\]

View Answer
36) The displacement of a travelling wave is given by\[y=2\,\cos \,2\pi \,(10t-\,0.008\,x\,+\,.35)\] where, x and y are in centimetre and t in second. What is the phase difference between oscillatory motion at two points separated by a distance of 4 m?

A)

\[2\pi \]

B)

\[4\pi \]

C)

\[6\pi \]

D)

       \[8\pi \]

View Answer
37) A bimetallic strip consists of brass and iron when it is heated it bends into an arc with brass on the convex and iron on the concave side of the arc. This happens because

A)

brass has a higher specific heat capacity than iron

B)

density of brass is more than that of iron

C)

it is easier to bend an iron strip than a brass strip of the same size

D)

brass has a higher coefficient of linear expansion than iron

View Answer
38) Three sound waves of equal amplitudes have frequencies (v -1), v, (v + 1). They superpose to give beats. The number of beats produced per second will be

A)

v

B)

v/2

C)

2

D)

       1

View Answer
39) Which of the following functions does not represent a stationary wave? Here a, b and c are constants.

A)

\[y=a\,\cos bx\,\sin ct\]

B)

\[y=a\sin bx\,\cos \,ct\]

C)

\[y=a\,\sin (bx+ct)\]

D)

\[y=a\sin (bx+ct)\,+a\,\sin \,(bx-ct)\]

View Answer
40) The velocity of sound is greatest in

A)

water

B)

air

C)

vacuum

D)

       steel

View Answer
41) Due to Doppler effect, the shift in wavelength observed is \[0.1\,\overset{\text{o}}{\mathop{\text{A}}}\,,\] for a star producing wavelength \[6000\overset{\text{o}}{\mathop{\text{A}}}\,\]. The velocity of recession of star will be

A)

\[2.5\,km{{s}^{-1}}\]

B)

\[10\,km{{s}^{-1}}\]

C)

           \[5\,km{{s}^{-1}}\]

D)

       \[20\,km{{s}^{-1}}\]

View Answer
42) A body executing linear simple harmonic motion has a velocity of \[3\,m{{s}^{-1}}\] when its displacement is 4 cm and a velocity of \[4\,m{{s}^{-1}}\] when its displacement is 3 cm. What is the amplitude of oscillation?

A)

5 cm

B)

7.5 cm

C)

10 cm

D)

       12.5 cm

View Answer
43) Two masses \[{{m}_{1}}\] and\[{{m}_{2}}\] are suspended together by a massless spring of force constant k, as shown in figure. When the masses are in equilibrium, mass \[{{m}_{1}}\]is removed without disturbing the system. The angular frequency of oscillation of mass \[{{m}_{2}}\] is

A)

\[\sqrt{\frac{k}{{{m}_{2}}}}\]

B)

\[\sqrt{\frac{k}{{{m}_{1}}}}\]

C)

\[\sqrt{\frac{k{{m}_{1}}}{m\,_{2}^{2}}}\]

D)

       \[\sqrt{\frac{k{{m}_{2}}}{m_{1}^{2}\,}}\]

View Answer
44) The intensity level of a sound wave is defined by an arbitrary scale. The zero of the scale is taken at the sound wave intensity

A)

\[\text{1 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-10}}}\,\text{W}{{\text{m}}^{\text{-2}}}\]

B)

\[\text{1 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-12}}}\,\text{W}{{\text{m}}^{\text{-2}}}\]

C)

\[\text{1 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-14}}}\,\text{W}{{\text{m}}^{\text{-2}}}\]

D)

\[\text{1 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-16}}}\,\text{W}{{\text{m}}^{\text{-2}}}\]

View Answer
45) A pendulum bob of mass m carrying a charge q is at rest with its string making an angle \[\theta \] with the vertical in a uniform horizontal electric field E. The tension in the siring is

A)

\[\frac{\text{mg}}{\text{sin}}\text{and}\frac{\text{qE}}{\text{cos}\,}\]

B)

\[\frac{\text{mg}}{\text{cos}}\text{and}\frac{\text{qE}}{\sin \,}\]

C)

\[\frac{\text{qE}}{mg}\]

D)

       \[\frac{mg}{\text{qE}}\]

View Answer
46) A galvanometer of resistance 10 \[\Omega \] gives full-scale deflection when 1 mA current passes through it. The resistance required to convert it into a voltmeter reading upto 2.5 V is

A)

\[24.9\,\Omega \]

B)

\[249\,\Omega \]

C)

\[2490\,\Omega \]

D)

       \[24900\,\Omega \]

View Answer
47) The current inside an electrolytic cell is carried by

A)

positive ions

B)

negative ions

C)

both positive and negative ions

D)

electrons

View Answer
48) The electric potential V (in volt) varies with x (in metre) according to the relation \[V=(5+4{{x}^{2}})\]. The force experienced by a negative charge of 2x10-6C located at a =0.5 m is

A)

\[\text{2 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-6}}}\text{N}\]

B)

\[\text{4 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-6}}}\text{N}\]

C)

       \[\text{6 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-6}}}\text{N}\]

D)

       \[\text{8 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-6}}}\text{N}\]

View Answer
49) A parallel plate capacitor of plate area A has a charge Q. The force on each plate of the capacitor is

A)

\[\frac{2{{Q}^{2}}}{{{\varepsilon }_{0}}A}\]

B)

\[\frac{{{Q}^{2}}}{{{\varepsilon }_{0}}A}\]

C)

\[\frac{{{Q}^{2}}}{2{{\varepsilon }_{0}}A}\]

D)

       Zero

View Answer
50) In Millikans oil drop experiment, an oil drop is observed to move vertically upwards. The upward motion of the drop is due to

A)

gravity

B)

viscosity

C)

       buoyancy

D)

       electric field

View Answer
51) Which one of these is an important polysaccharide present in plants?

A)

Glucose

B)

Glycogen

C)

       Sucrose

D)

       Starch

View Answer
52) Cannizaro reaction would be given by

A)

\[{{C}_{6}}{{H}_{5}}CHO\]

B)

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

C)

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

D)

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

View Answer
53) \[C{{H}_{3}}C\equiv CH\xrightarrow[+H{{g}^{2+}},60{{\,}^{o}}C]{{{H}_{2}}S{{O}_{4}}}\]?

A)

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

B)

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

C)

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

D)

       \[C{{H}_{3}}C{{H}_{2}}COOH\]

View Answer
54) In which of the following can peroxide effect operate?

A)

\[C{{H}_{3}}C{{H}_{2}}CH=C{{H}_{2}}+HCl\]

B)

\[C{{H}_{3}}C{{H}_{2}}CH=C{{H}_{2}}+HBr\]

C)

\[C{{H}_{3}}CH=CH.C{{H}_{3}}+HBr\]

D)

\[C{{H}_{3}}C{{H}_{2}}CH=C{{H}_{2}}+HI\]

View Answer
55) The term quaternary structure is used in the context of

A)

carbohydrates

B)

vitamins

C)

       proteins

D)

       nucleic acids

View Answer
56) Aspirin is

A)

antibiotic

B)

       sedative

C)

       tranquilizer

D)

       antipyretic

View Answer
57) The following is a coordination compound of iron

A)

chlorophyll

B)

       Mohrs salt

C)

       haemoglobin

D)

       vitamin \[{{B}_{12}}\]

View Answer
58) This metal is extracted from its ore by formation of a cyanide complex

A)

\[Ag\]

B)

       \[Cu\]

C)

\[Al\]

D)

       \[Zn\]

View Answer
59) Smoke is an example of

A)

emulsion

B)

       aerosol

C)

       gel

D)

       foam

View Answer
60) Propan-2-ol + ethanoic acid\[\xrightarrow{{}}\]

A)

\[{{(C{{H}_{3}})}_{2}}CHCOOC{{H}_{3}}\]

B)

\[C{{H}_{3}}COOCH{{(C{{H}_{3}})}_{2}}\]

C)

\[C{{H}_{3}}COOC{{H}_{2}}C{{H}_{3}}\]

D)

\[{{(C{{H}_{3}})}_{2}}CHCOOC{{H}_{2}}C{{H}_{3}}\]

View Answer
61) Which of the following gives RNC when treated with \[CHC{{l}_{3}}\]and KOH?

A)

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

B)

       \[{{R}_{2}}NH\]

C)

       \[{{R}_{4}}{{N}^{+}}C{{l}^{-}}\]

D)

       \[{{R}_{3}}N\]

View Answer
62) Which of the following is a soap?

A)

Sodium acetate

B)

Magnesium butyrate

C)

Sodium palmitate

D)

Palmitic acid

View Answer
63) The C-C bond dissociation energy in kcal/mol is

A)

8.1

B)

                       0.81

C)

81

D)

       810

View Answer
64) A compound has four \[s{{p}^{3}}\]hybridized covalent bonds. Its shape is

A)

linear

B)

square planar

C)

octahedral

D)

tetrahedral

View Answer
65) The resonance energy of benzene in kcal/mol is about

A)

\[\approx 20\]

B)

       \[\approx 40\]

C)

       \[\approx 60\]

D)

       \[\approx 80\]

View Answer
66) 1 mole of \[\text{C}{{\text{O}}_{\text{2}}}\]contains

A)

\[6\times {{10}^{23}}\]atoms of C

B)

\[6\times {{10}^{23}}\]atoms of O

C)

\[18\times {{10}^{23}}\]molecules of \[C{{O}_{2}}\]

D)

3 g-atoms of \[C{{O}_{2}}\]

View Answer
67) Rutherfords   famous   experiment   with \[\alpha -\]particles used this metal

A)

Ni

B)

       Au

C)

Fe

D)

       Zn

View Answer
68) The charge on an electron in Coulombs is

A)

\[1.602\times {{10}^{-19}}\]

B)

       \[1.062\times {{10}^{-19}}\]

C)

                       \[1.620\times {{10}^{-19}}\]

D)

       \[1.006\times {{10}^{-19}}\]

View Answer
69) The number of subshells for a shell with principal quantum number \[n\] is

A)

\[n\]

B)

       \[~n+1\]

C)

       \[n-1\]

D)

       \[2{{n}^{2}}\]

View Answer
70) Which of the following pairs of atomic numbers represents s-block elements?

A)

7, 15

B)

       6, 12

C)

       9, 17

D)

       3, 11

View Answer
71) For a system in equilibrium

A)

\[\Delta G=0\]

B)

       \[\Delta G>0\]

C)

\[\Delta G<0\]

D)

       \[\Delta H=0\]

View Answer
72) Which of the following will produce the highest rise in temperature?

A)

\[\text{64}\,\text{mL}\,\text{1M}\,\text{NaOH}\,\text{+}\,\text{33}\,\text{mL}\]of \[\text{0}\text{.5}\,\text{M}\,{{\text{H}}_{\text{2}}}\text{S}{{\text{O}}_{\text{4}}}\]

B)

\[\text{33}\,\text{mL}\]of \[\text{1}\,\text{M}\,\text{NaOH}\,\text{+}\,\text{67}\,\text{mL}\,\]of \[\text{0}\text{.5}\,\text{M}\,{{\text{H}}_{\text{2}}}\text{S}{{\text{O}}_{\text{4}}}\]

C)

\[\text{40}\,\text{mL}\]of \[\text{1}\,\text{M}\,\text{NaOH}\,\text{+}\,\text{60}\,\text{mL}\]of \[\text{0}\text{.5}\,\text{M}\,{{\text{H}}_{\text{2}}}\text{S}{{\text{O}}_{\text{4}}}\]

D)

\[\text{50}\,\text{mL}\]of \[\text{1}\,\text{M}\,\text{NaOH}\,\text{+}\,\text{50}\,\text{mL}\]of \[\text{0}\text{.5}\,\text{M}\,{{\text{H}}_{\text{2}}}\text{S}{{\text{O}}_{\text{4}}}\]

View Answer
73) The standard for atomic mass is

A)

\[_{1}^{1}H\]

B)

       \[_{6}^{12}C\]

C)

\[_{6}^{14}C\]

D)

       \[_{8}^{16}O\]

View Answer
74) Which of the following involves absorption of energy?

A)

\[Cl+{{e}^{-}}\xrightarrow{{}}C{{l}^{-}}\]

B)

\[{{O}^{-}}+{{e}^{-}}\xrightarrow{{}}{{O}^{2-}}\]

C)

\[O+{{e}^{-}}\xrightarrow{{}}{{O}^{-}}\]

D)

\[S+{{e}^{-}}\xrightarrow{{}}{{S}^{-}}\]

View Answer
75) The successive ionization energies of an element are 800, 2,000, 3,600, 25,000 and 32,000 kJ/mol. The number of valence electrons are

A)

5

B)

       2

C)

3

D)

       4

View Answer
76) The first order rate constant for the decomposition of \[{{\text{N}}_{\text{2}}}{{\text{O}}_{\text{5}}}\]is \[6.2\times {{10}^{-4}}{{s}^{-1}}.\] The half-life in seconds is nearly

A)

1117.7

B)

       111.7

C)

       223

D)

       160

View Answer
77) The rate constant of a reaction is \[1\times {{10}^{-2}}mo{{l}^{-2}}{{L}^{2}}{{s}^{-1}}.\] The order of the reaction is

A)

0

B)

       1

C)

2

D)

       3

View Answer
78) The oxidation number of O in \[\text{O}{{\text{F}}_{\text{2}}}\]is

A)

\[-2\]

B)

       \[+\,1\]

C)

       \[+\,2\]

D)

       \[-1\]

View Answer
79) The correct relationship is

A)

\[{{K}_{C}}=n\times {{K}_{p}}\]

B)

\[{{K}_{p}}={{K}_{C}}{{(RT)}^{\Delta {{n}_{g}}}}\]

C)

\[{{K}_{p}}=n\times {{K}_{C}}\]

D)

\[{{K}_{C}}-{{K}_{p}}={{(RT)}^{\Delta N}}\]

View Answer
80) W. For the reaction,   \[2B+AC,\]   the equilibrium constant is

A)

\[\frac{[A]{{[B]}^{3}}}{[C]}\]

B)

       \[\frac{[C]}{[A][2B]}\]

C)

       \[\frac{[C]}{[A]{{[B]}^{2}}}\]

D)

       \[\frac{[A][B]}{[C]}\]

View Answer
81) A buffer contains equal concentrations of \[{{X}^{-}}\] and HX. The \[{{K}_{a}}\]for HX is \[{{10}^{-8}}.\] The pH of the buffer is

A)

3

B)

       8

C)

7

D)

       11

View Answer
82) The metal which gives \[{{\text{H}}_{\text{2}}}\]on treatment with acid as well as \[NaOH\] is

A)

Fe

B)

       Cu

C)

Zn

D)

       Hg

View Answer
83) Which is isoelectronic with hydride ion?

A)

He

B)

       \[\text{H}{{\text{e}}^{+}}\]

C)

Li

D)

       \[{{H}^{+}}\]

View Answer
84) A solution of Na in liquid\[\text{N}{{\text{H}}_{\text{3}}}\] is

A)

green

B)

       blue

C)

pink

D)

       yellow

View Answer
85) The oxide which gives \[{{\text{H}}_{\text{2}}}{{\text{O}}_{\text{2}}}\]on treatment with dilute acid is

A)

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

B)

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

C)

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

D)

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

View Answer
86) During the electrolysis of fused \[NaCl,\] this happens at cathode

A)

oxidation of\[N{{a}^{+}}\]

B)

reduction of\[N{{a}^{+}}\]

C)

reduction of \[C{{l}^{-}}\]

D)

oxidation of \[C{{l}^{-}}\]

View Answer
87) Which of the following-s a colored gas?

A)

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

B)

       \[NO\]

C)

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

D)

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

View Answer
88) This compound gives off \[{{\text{O}}_{\text{2}}}\]on moderate heating

A)

\[HgO\]

B)

       \[ZnO\]

C)

       \[CaO\]

D)

       \[A{{l}_{2}}{{O}_{3}}\]

View Answer
89) Plaster of Paris is hardened by

A)

liberating \[C{{O}_{2}}\]

B)

hydration

C)

dehydration

D)

changing into \[CaC{{O}_{3}}\]

View Answer
90) The least ionic chloride is formed by

A)

Mg

B)

       Ca

C)

Be

D)

       Sr

View Answer
91) Aluminium bronze has

A)

90% Cu

B)

       50% Ni

C)

       90% Sn

D)

       50% Cu

View Answer
92) In the thermite welding, this is used

A)

Ca

B)

       Al + Fe

C)

       Fe

D)

       \[Al+F{{e}_{2}}{{O}_{3}}\]

View Answer
93) \[{{\text{K}}_{\text{2}}}\text{C}{{\text{O}}_{\text{3}}}\]cannot be prepared by Solvay-ammonia process because

A)

\[{{\text{K}}_{\text{2}}}\text{C}{{\text{O}}_{\text{3}}}\]is fairly soluble in water

B)

it has no water of crystallization

C)

\[\text{KHC}{{\text{O}}_{\text{3}}}\] is highly soluble in water

D)

\[{{\text{K}}_{\text{2}}}\text{C}{{\text{O}}_{\text{3}}}\]decomposes in \[{{\text{H}}_{\text{2}}}\text{O}\]

View Answer
94) Glaubers salt is

A)

\[N{{a}_{2}}S{{O}_{4}}.10{{H}_{2}}O\]

B)

\[FeS{{O}_{4}}.7{{H}_{2}}O\]

C)

\[ZnS{{O}_{4}}.7{{H}_{2}}O\]

D)

\[MgS{{O}_{4}}.7{{H}_{2}}O\]

View Answer
95) The salt responsible for permanent hardness of \[{{\text{H}}_{\text{2}}}\text{O}\]is

A)

\[N{{a}_{2}}S{{O}_{4}}\]

B)

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

C)

       \[NaCl\]

D)

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

View Answer
96) Which of the following carbonium ion is most stable?

A)

\[{{C}_{6}}{{H}_{5}}\overset{+}{\mathop{C}}\,{{H}_{2}}\]

B)

\[{{(C{{H}_{3}})}_{3}}\overset{+}{\mathop{C}}\,\]

C)

       \[{{(C{{H}_{3}})}_{2}}\overset{+}{\mathop{C}}\,H\]

D)

       \[C{{H}_{3}}\overset{+}{\mathop{C}}\,{{H}_{2}}\]

View Answer
97) Which of the following reacts in presence of anhydrpus \[\text{AlC}{{\text{l}}_{\text{3}}}\]to give acetophenone?

A)

\[{{C}_{6}}{{H}_{6}}+C{{H}_{3}}COC{{H}_{3}}\]

B)

\[{{C}_{6}}{{H}_{5}}OH+C{{H}_{3}}COC{{H}_{3}}\]

C)

\[{{C}_{6}}{{H}_{5}}OH+C{{H}_{3}}COOH\]

D)

\[{{C}_{6}}{{H}_{6}}+C{{H}_{3}}COCl\]

View Answer
98) The isomers which can be interconverted through rotation around a single bond are

A)

conformers

B)

       diastereoisomers

C)

enantiomers

D)

       position isomers

View Answer
99) Phenol is the component of this fraction upon fractional distillation of petroleum

A)

light oil

B)

       middle oil

C)

       heavy oil

D)

       pitch

View Answer
100) Ethyl chloride on treatment with alcoholic alkali gives

A)

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

B)

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

C)

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

D)

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

View Answer
101) The area of the figure bounded by \[{{y}^{2}}=2x+1\] and \[x-y=1\]is

A)

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

B)

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

C)

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

D)

       \[\frac{11}{3}\]

View Answer
102) The order of the differential equation of all tangent lines to the parabola \[y={{x}^{2}}\]is

A)

1

B)

2

C)

3

D)

4

View Answer
103) \[\int_{{}}^{{}}{\frac{dx}{\sqrt{(1-x)(x-2)}}}\]is equal to

A)

\[{{\sin }^{-1}}(2x-3)+C\]

B)

\[{{\sin }^{-1}}(2x+5)+C\]

C)

\[{{\sin }^{-1}}(3-2x)+C\]

D)

\[{{\sin }^{-1}}(5-2x)+C\]

View Answer
104) \[\int_{{}}^{{}}{\frac{({{\sec }^{2}}x-7)}{{{\sin }^{7}}x}}dx\]is equal to

A)

\[\frac{\tan x}{{{\sin }^{7}}x}+C\]

B)

\[\frac{\cos x}{{{\sin }^{7}}x}+C\]

C)

\[\frac{\sin x}{{{\cos }^{7}}x}+C\]

D)

\[\frac{\sin x}{{{\tan }^{7}}x}+C\]

View Answer
105) \[\int_{-3}^{2}{\{|x+1|+|x+2|+||x-1|\}}\,dx\]is equal to

A)

\[\frac{31}{2}\]

B)

\[\frac{35}{2}\]

C)

\[\frac{37}{2}\]

D)

       \[\frac{39}{2}\]

View Answer
106) The variance of first \[n\]natural numbers is

A)

\[\frac{{{n}^{2}}+1}{12}\]

B)

\[\frac{{{n}^{2}}-1}{12}\]

C)

\[\frac{(n+1)(2n+1)}{6}\]

D)

\[{{\left[ \frac{n(n+1)}{2} \right]}^{2}}\]

View Answer
107) A particular solution of \[\log \left( \frac{dy}{dx} \right)=3x+4y,y(0)=0\]is

A)

\[{{e}^{3x}}+3{{e}^{-4y}}=4\]

B)

\[4{{e}^{3x}}-3{{e}^{-4y}}=3\]

C)

\[3{{e}^{3x}}+4{{e}^{-4y}}=7\]

D)

\[4{{e}^{3x}}+3{{e}^{-4y}}=7\]

View Answer
108) The equation of the curve whose subnormal is equal to a constant a is

A)

\[y=ax+b\]

B)

\[{{y}^{2}}=2ax+2b\]

C)

\[a{{y}^{2}}-{{x}^{3}}=a\]

D)

None of these

View Answer
109) If the standard deviation of a variable X is \[\sigma ,\]then the standard deviation of \[\sigma ,\](a, b, c are constants) is

A)

\[\frac{a}{c}\sigma \]

B)

\[\left| \frac{a}{c} \right|\sigma \]

C)

                       \[\left| \frac{c}{a} \right|\sigma \]

D)

       \[\frac{c}{a}\sigma \]

View Answer
110) If \[\sin \alpha ,\cos \alpha \]are the roots of the equation\[a{{x}^{2}}+bx+c=0,(c\ne 0),\]the

A)

\[{{a}^{2}}-{{b}^{2}}+2ac=0\]

B)

\[{{(a+c)}^{2}}={{b}^{2}}-{{c}^{2}}\]

C)

\[{{a}^{2}}+{{b}^{2}}-2ac=0\]

D)

\[{{(a-c)}^{2}}={{b}^{2}}+{{c}^{2}}\]

View Answer
111) If \[\alpha ,\beta ,\gamma \]are such that \[\alpha +\beta +\gamma =2,\]\[{{\alpha }^{2}}+{{\beta }^{2}}+{{\gamma }^{2}}=6,\]\[{{\alpha }^{3}}+{{\beta }^{3}}+{{\gamma }^{3}}=8,\]then \[{{\alpha }^{4}}+{{\beta }^{4}}+{{\gamma }^{4}}\]is equal to

A)

7

B)

12

C)

18

D)

       36

View Answer
112) The equation \[\bar{z}=\bar{a}+\frac{{{r}^{2}}}{(z-a)},r>0\] represents

A)

an ellipse

B)

a parabola

C)

a circle

D)

_ a straight line through point \[\bar{a}\]

View Answer
113) If \[\frac{3}{2+\cos \theta +i\sin \theta }=a+ib,\]then \[[{{(a-2)}^{2}}+{{b}^{2}}]\]is equal to

A)

0

B)

       1

C)

\[-1\]

D)

       2

View Answer
114) The value of \[4+5{{\left( -\frac{1}{2}+\frac{i\sqrt{3}}{2} \right)}^{334}}+3{{\left( -\frac{1}{2}+\frac{i\sqrt{3}}{2} \right)}^{365}}\]is

A)

\[1-i\sqrt{3}\]

B)

       \[-1+i\sqrt{3}\]

C)

       \[i\sqrt{3}\]

D)

       \[-i\sqrt{3}\]

View Answer
115) If in the expansion of \[{{(a-2b)}^{n}},\] the sum of 4th and 5th term is zero, then the value of\[\frac{a}{b}\] is

A)

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

B)

       \[\frac{2(n-4)}{5}\]

C)

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

D)

       \[\frac{5}{2(n-4)}\]

View Answer
116) If\[A=\left[ \begin{matrix}    a & b \\    c & d \\ \end{matrix} \right]\]is such that \[|A|=0\] and\[{{A}^{2}}-(a+d)A+kI=0,\] then \[k\]is equal to

A)

\[b+c\]

B)

       \[a+d\]

C)

       \[ab+cd\]

D)

       zero

View Answer
117) The sum of series\[1+\frac{3}{2}+\frac{7}{4}+\frac{15}{8}+\frac{31}{16}+...\]is equal to

A)

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

B)

       \[2n-\frac{1}{{{2}^{n}}}\]

C)

\[2+\frac{1}{{{2}^{n}}}\]

D)

       \[2n-1+\frac{1}{{{2}^{n}}}\]

View Answer
118) The number of meaningful solutions of \[{{\log }_{4}}(x-1)={{\log }_{2}}(x-3)\]is

A)

3

B)

                       2

C)

1

D)

       zero

View Answer
119) The number of ways of arranging letters of the word HAVANA so that V and N do not appear together is

A)

60

B)

80

C)

100

D)

       120

View Answer
120) A man is known to speak the truth 3 out of 4 times. He throws a die and reports that it is a six. The probability that it is actually a six is

A)

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

B)

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

C)

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

D)

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

View Answer
121) The expression \[{{\cos }^{2}}(A-B)+co{{s}^{2}}B-2\cos (A-B)cos\,A\,cos\,B\]is independent of

A)

A

B)

       B

C)

both A and B

D)

       neither A nor B

View Answer
122) If the system of equations \[ax+y=3,\]\[x+2y=3,3x+4y=7\]is consistent, then value of a is equal to

A)

2

B)

       1

C)

       -1

D)

       0

View Answer
123) If \[\left| \begin{matrix}    x-1 & 5x & 7 \\    {{x}^{2}}-1 & x-1 & 8 \\    2x & 3x & 0 \\ \end{matrix} \right|=a{{x}^{3}}+b{{x}^{2}}+cx+d,\]then c is equal to

A)

\[-1\]

B)

       12

C)

15

D)

       17

View Answer
124) If \[a,b,c>0,\]the minimum value of \[\frac{a}{b+c}+\frac{b}{c+a}+\frac{c}{a+b}\]is

A)

1

B)

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

C)

2

D)

       \[\frac{5}{2}\]

View Answer
125) If \[\tan {{1}^{o}}\tan {{2}^{o}}...tan{{2}^{o}}....\tan {{89}^{o}}={{x}^{2}}-8,\]then the value of \[x\]can be

A)

\[\pm \,1\]

B)

       \[\pm \,\,2\]

C)

       \[\pm \,\,3\]

D)

       \[\pm \,\,4\]

View Answer
126) If \[\sin (x+3\alpha )=3\sin (\alpha -x),\]then

A)

\[\tan \,x=\tan \alpha \]

B)

\[\tan \,x={{\tan }^{2}}\alpha \]

C)

\[\tan x={{\tan }^{3}}\alpha \]

D)

\[\tan x=3\tan \alpha \]

View Answer
127) In a \[\Delta ABC,2{{a}^{2}}+4{{b}^{2}}+{{c}^{2}}=4ab+2ac,\]then \[\cos \,B\]is equal to

A)

0

B)

       \[\frac{1}{8}\]

C)

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

D)

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

View Answer
128) Let A and B be two events such that \[P(A)=0.3\]and \[p(A\cup B)=0.8.\]If A and B are independent events, then \[P(B)\] is

A)

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

B)

       \[\frac{4}{7}\]

C)

\[\frac{5}{7}\]

D)

       \[\frac{6}{7}\]

View Answer
129) A bag contains 4 brown and 5 white balls. A man pulls two balls at random without replacement. The probability that the man gets both the balls of the same colour is

A)

\[\frac{5}{108}\]

B)

\[\frac{1}{6}\]

C)

\[\frac{5}{18}\]

D)

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

View Answer
130) The value of expression\[\frac{1}{\cos {{290}^{o}}}+\frac{1}{\sqrt{3}\sin {{250}^{o}}}\] is equal to

A)

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

B)

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

C)

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

D)

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

View Answer
131) An equation of a line through the point (1, 2) whose distance from the point (3, 1) has the greatest value is

A)

\[y=2x\]

B)

\[y=x+1\]

C)

\[x+2y=5\]

D)

       \[y=3x-1\]

View Answer
132) A line is drawn through the point P(3,11) to cut the circle \[{{x}^{2}}+{{y}^{2}}=9\]at A and B. Then, \[PA.PB\]is equal to

A)

9

B)

       121

C)

205

D)

       139

View Answer
133) If the tangent at point P on the circle \[{{x}^{2}}+{{y}^{2}}+6x+6y-2=0\] meets the straight line \[5x-2y+6=0\] at a point Q on the. \[y-\]axis, then length PQ is

A)

4

B)

       \[2\sqrt{5}\]

C)

       5

D)

       \[3\sqrt{5}\]

View Answer
134) In a triangle ABC, \[a:\text{ }b:\text{ }c\text{ }=\text{ }4:\text{ }5:\text{ }6.\]The ratio of the radius of the circumcircle to that of the incircle is

A)

\[\frac{15}{4}\]

B)

       \[\frac{11}{5}\]

C)

       \[\frac{16}{7}\]

D)

       \[\frac{16}{3}\]

View Answer
135) If \[4{{\sin }^{-1}}x+{{\cos }^{-1}}x=\pi ,\]then \[x\]is equal to

A)

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

B)

       0

C)

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

D)

       1

View Answer
136) The Value of \[\cos \left( \frac{1}{2}{{\cos }^{-1}}\frac{1}{8} \right)\] is equal to

A)

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

B)

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

C)

\[\frac{1}{16}\]

D)

       \[\frac{1}{4}\]

View Answer
137) The     vectors    \[\vec{a}=\hat{i}+\hat{j}+m\hat{k},\]\[\vec{b}=\hat{i}+\hat{j}+(m+1)\hat{k}\] and \[\vec{c}=\hat{i}-\hat{j}+m\hat{k}\] are coplanar, if \[m\]is equal to

A)

1

B)

       4

C)

3

D)

no value of m for which vectors are coplanar

View Answer
138) If|\[|\vec{a}|=2,|\vec{b}|=3,|\vec{c}|=4\]and \[\vec{a}+\vec{b}+\vec{c}=0,\] then the value of \[\vec{b}.\vec{c}+\vec{c}.\vec{a}+\vec{a}+\vec{a}.\vec{b}\]is equal to

A)

\[\frac{19}{2}\]

B)

       \[-\frac{19}{2}\]

C)

       \[\frac{29}{2}\]

D)

       \[-\frac{29}{2}\]

View Answer
139) The line \[x+y=6\]is a normal to the parabola \[{{y}^{2}}=8x\]at the point

A)

\[(18,-12)\]

B)

       \[(4,2)\]

C)

       \[(2,4)\]

D)

       \[(8,8)\]

View Answer
140) If\[{{F}_{1}}=(3,0),{{F}_{2}}=(-3,0)\] and P is any point on the curve \[16{{x}^{2}}+25{{y}^{2}}=400,\] then \[P{{F}_{1}}+P{{F}_{2}}\]is equal to

A)

6

B)

       8

C)

10

D)

       12

View Answer
141) If e and\[{{e}_{1}}\]are the eccentricities of a hyperbola and its conjugate, then\[\frac{1}{{{e}^{2}}}+\frac{1}{e_{1}^{2}}\] is equal to

A)

\[-1\]

B)

       0

C)

1

D)

       2

View Answer
142) \[\underset{x\to 0}{\mathop{\lim }}\,\frac{1-{{\cos }^{3}}x}{x\sin \cos x}\]is equal to

A)

\[\frac{2}{5}\]

B)

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

C)

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

D)

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

View Answer
143) If \[y={{\cos }^{-1}}(\cos \,x),\]then \[y(x)\]is equal to

A)

1 for all \[x\]

B)

\[-1\]for all \[x\]

C)

1 in 2nd and 3rd quadrant

D)

\[-1\]in 3rd and 4th quadrant

View Answer
144) If   the   vectors   \[\overrightarrow{AB}=3\hat{i}+4\hat{k}\] and =\[\overrightarrow{AC}=5\hat{i}-2\hat{j}+4\hat{k}\]are the sides of a \[\Delta ABC,\] then the length of the median through A is

A)

\[\sqrt{14}\]

B)

       \[\sqrt{18}\]

C)

       \[\sqrt{29}\]

D)

       4

View Answer
145) The period of the function\[f(x)=\cos e{{c}^{2}}3x+\cot 4x\]is

A)

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

B)

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

C)

\[\frac{\pi }{6}\]

D)

       \[\pi \]

View Answer
146) The     graph     of     the function\[f(x)={{\log }_{a}}(x+\sqrt{{{x}^{2}}+1})\] is symmetric about

A)

\[x-\]axis

B)

                       origin

C)

\[y-\]axis

D)

                       the line \[y=x\]

View Answer
147) The difference between the greatest and least values of the function\[f(x)=\cos x+\frac{1}{2}\cos 2x-\frac{1}{3}\cos 3x\]is

A)

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

B)

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

C)

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

D)

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

View Answer
148) \[f(x)=\left\{ \begin{matrix} a{{x}^{2}}+b, & b\ne 0,x\le 1 \\ b{{x}^{2}}+ax+c, & x>1 \\ \end{matrix} \right.\] then\[f(x)\] is continuous and differentiable at \[x=1\]if

A)

\[c=0,\,a=2b\]

B)

\[a=b,\,c\in R\]

C)

\[a=b,c=0\]

D)

\[a=b,c\ne 0\]

View Answer
149) Let \[g(x)\]be the inverse of function \[f(x)\] and \[f(x)=\frac{1}{1+{{x}^{3}}},\] then \[g(x)\]is equal to

A)

\[\frac{1}{1+{{\{g(x)\}}^{3}}}\]

B)

\[\frac{1}{1+{{\{f(x)\}}^{3}}}\]

C)

\[1+{{\{g(x)\}}^{3}}\]

D)

\[1+{{\{f(x)\}}^{3}}\]

View Answer
150) If \[\theta \] is the semi vertical angle of a cone of maximum volume and given slant height, then\[\tan \,\theta \]is given by

A)

2

B)

       1

C)

\[\sqrt{2}\]

D)

       \[\sqrt{3}\]

View Answer

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