Solved papers for BCECE Engineering BCECE Engineering Solved Paper-2005

done BCECE Engineering Solved Paper-2005

  • question_answer1) 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) \[\text{I, II }and\,\text{III}\,are\,correct\]

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  • question_answer2) 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) \[\frac{}{\text{6}}\text{m/s}\]

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  • question_answer3) When earth moves round the sun, the quantity which remains constant is:

    A) angular velocity

    B) kinetic energy

    C) potential energy

    D) areal velocity

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  • question_answer4) 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) \[\text{30}\sqrt{2\,}\text{m/s}\]

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  • question_answer5) 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) \[\text{ }\!\![\!\!\text{ }{{\text{M}}^{-1}}{{\text{L}}^{3}}\text{T }\!\!]\!\!\text{ }\]

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  • question_answer6) 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

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  • question_answer7) 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) \[\frac{9}{7}m\]

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  • question_answer8) 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) \[mg(h+x)=\frac{1}{2}k\,{{(x+h)}^{2}}\]

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  • question_answer9) 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) \[\frac{mv}{2t}\]

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  • question_answer10) 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) \[\pi \]

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  • question_answer11) 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

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  • question_answer12) 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) \[\text{3 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-1}}}\text{J}\]

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  • question_answer13) 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

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  • question_answer14) 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

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  • question_answer15) In isochoric process:

    A) \[\Delta U=\Delta Q\]

    B) \[\Delta Q=\Delta W\]

    C) \[\Delta U=\Delta W\]

    D) none of these

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  • question_answer16) Which is not a path function?

    A) \[\Delta Q\]

    B) \[\Delta Q+\Delta W\]

    C) \[\Delta W\]

    D) \[\Delta Q-\Delta W\]

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  • question_answer17) 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) \[2RT{{\log }_{e}}\left( \frac{{{V}_{1}}}{{{V}_{2}}} \right)\]

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  • question_answer18) 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

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  • question_answer19) The degrees of freedom of a molecule of a triatomic gas are:

    A) 2

    B) 4

    C) 6

    D) 8

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  • question_answer20) 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

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  • question_answer21) 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

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  • question_answer22) 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

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  • question_answer23) 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

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  • question_answer24) 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) \[\frac{n}{2\sqrt{2}}\]

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  • question_answer25) 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

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  • question_answer26) 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) \[\frac{f(c-v)}{c-2v}\]

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  • question_answer27) 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

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  • question_answer28) 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

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  • question_answer29) 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

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  • question_answer30) 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) \[200\,c{{m}^{2}}\]

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  • question_answer31) 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

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  • question_answer32) 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

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  • question_answer33) 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

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  • question_answer34) 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

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  • question_answer35) The resistance of a discharge tube is:

    A) zero

    B) ohmic

    C) non-ohmic

    D) infinity

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  • question_answer36) Which one of the following processes depends on gravity?

    A) Conduction

    B) Convection

    C) Radiation

    D) None of the above

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  • question_answer37) 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) \[5\times {{10}^{8}}\,N/C\]

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  • question_answer38) 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) \[8\mu F\]

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  • question_answer39) 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

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  • question_answer40) 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) \[114\,\Omega \]

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  • question_answer41) 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

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  • question_answer42) 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

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  • question_answer43) 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

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  • question_answer44) 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) \[\text{6 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-3}}}\text{/day}\]

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  • question_answer45) 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

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  • question_answer46) 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) \[Z\,\propto {{r}^{3/2}}\]

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  • question_answer47) 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) \[\lambda =\frac{h}{\sqrt{2mE}}\]

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  • question_answer48) 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)

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  • question_answer49) 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

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  • question_answer50) 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) \[\sim {{10}^{22}}{{m}^{-3}}\]

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  • question_answer51) 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) \[3\times {{10}^{10}}\]

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  • question_answer52) 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

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  • question_answer53) 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

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  • question_answer54) 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) \[\Delta x.\Delta p<\frac{h}{4\pi }\]

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  • question_answer55) 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) \[~[Ne]\text{ }3{{s}^{2}}\text{ }3{{p}^{6}}\text{ }4{{s}^{2}}\text{ }3{{d}^{4}}\]

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  • question_answer56) Number of neutron in \[{{C}^{12}}\]is:

    A) 6

    B) 7

    C) 8

    D) 9

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  • question_answer57) H-bond is not present in:

    A) water

    B) glycerol

    C) hydrogen fluoride

    D) hydrogen sulphide.

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  • question_answer58) Oxidation number of S in\[SO_{4}^{2-}:\]

    A) + 6

    B) + 3

    C) + 2

    D) - 2

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  • question_answer59) 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

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  • question_answer60) 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

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  • question_answer61) Which is Lewis base: \[{{I}_{2}}+{{I}^{-}}\xrightarrow{{}}{{I}_{3}}^{-}\]?

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

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

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

    D) None of these

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  • question_answer62) 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) \[+\,75.3\,kJ\]

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  • question_answer63) 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

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  • question_answer64) 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

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  • question_answer65) Which of the following is always negative for exothermic reaction?

    A) \[\Delta H\]

    B) \[\Delta S\]

    C) \[\Delta G\]

    D) None of these

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  • question_answer66) 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) \[oh{{m}^{-1}}\,cm\,{{(g-eq)}^{-1}}\]

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  • question_answer67) 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) \[C{{u}^{2+}}|Zn||Z{{n}^{2+}}|Cu\]

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  • question_answer68) 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

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  • question_answer69) Which of the following shows maximum depression in freezing point?

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

    B) \[NaCl\]

    C) Urea

    D) Glucose

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  • question_answer70) 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

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  • question_answer71) Size of colloidal particle is:

    A) \[1\,nm\]

    B) \[1-100\,nm\]

    C) \[<\,100\,nm\]

    D) \[>\,100\,nm\]

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  • question_answer72) Ether show isomerism with:

    A) alcohol

    B) ethane

    C) halide

    D) aldehyde

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  • question_answer73) 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) \[{{C}_{2}}{{H}_{6}}\]

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  • question_answer74) Which of the following is present in natural gas?

    A) \[n-\]butane

    B) Ethane

    C) Methane

    D) Propane

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  • question_answer75) Which of the following have delocalized electron?

    A) Benzene

    B) Cyclohexane

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

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

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  • question_answer76) Nitration of benzene is:

    A) electrophilic substitution

    B) electrophilic addition

    C) nucleophilic substitution

    D) nucleophilic addition

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  • question_answer77) Alkyl halide can be converted into alkene by:

    A) nucleophilic substitution reaction

    B) elimination reaction

    C) both nucleophilic substitution and elimination reaction

    D) rearrangement

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  • question_answer78) Which of the following compounds is most acidic?

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

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

    C) \[CH\equiv CH\]

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

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  • question_answer79) 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) \[{{C}_{2}}{{H}_{2}}\]

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  • question_answer80) Which of the following compound does not show anti-Markownikoffs addition?

    A) Propene

    B) 1-butene

    C) 2-butene

    D) 2-pentene

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  • question_answer81) Methyl ketone is identified by:

    A) lodoform test

    B) Fehling solution

    C) Tollens reagent

    D) Schiffs reagent

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  • question_answer82) Which of the following does not give Fehling solution test?

    A) Acetone

    B) Propanal

    C) Ethanal

    D) Butanal

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  • question_answer83) Cyanide group on hydrolysis gives:

    A) acid

    B) acetamide

    C) amine

    D) hydrate

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  • question_answer84) 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

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  • question_answer85) Fat on hydrolysis gives which alcohol

    A) Glycerol

    B) Propanol

    C) Butanol

    D) Ethanol

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  • question_answer86) Which of the following is natural polymer?

    A) PVC

    B) Nylon 66

    C) Teflon

    D) Cellulose

    View Answer play_arrow
  • question_answer87) Condensation product of caprolactum is:

    A) Nylon 6

    B) Nylon 66

    C) Nylon 60

    D) Nylon 6, 10

    View Answer play_arrow
  • question_answer88) Which inert gas have highest boiling point

    A) \[Xe\]

    B) \[Ar\]

    C) Kr

    D) He

    View Answer play_arrow
  • question_answer89) 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 play_arrow
  • question_answer90) Important ore of Mg is:

    A) Gypsum

    B) Camallite

    C) Magnatide

    D) Camolite

    View Answer play_arrow
  • question_answer91) Purification of Al by electrolysis method is called:

    A) Halls process

    B) Baeyer process

    C) Ostwald process

    D) Hoopes process

    View Answer play_arrow
  • question_answer92) 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 play_arrow
  • question_answer93) Which of the following is kept in water?

    A) White phosphorus

    B) Sodium

    C) Potassium

    D) Calcium

    View Answer play_arrow
  • question_answer94) 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 play_arrow
  • question_answer95) 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 play_arrow
  • question_answer96) Most powerful reducing agent is:

    A) \[Li\]

    B) \[Na\]

    C) \[Ca\]

    D) \[Mg\]

    View Answer play_arrow
  • question_answer97) 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 play_arrow
  • question_answer98) Which of the following is colored compound?

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

    B) \[CuI\]

    C) \[NaCI\]

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

    View Answer play_arrow
  • question_answer99) \[{{H}_{2}}{{O}_{2}}\]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 play_arrow
  • question_answer100) 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 play_arrow
  • question_answer101) 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 play_arrow
  • question_answer102) 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 play_arrow
  • question_answer103) 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 play_arrow
  • question_answer104) 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 play_arrow
  • question_answer105) \[\sin {{200}^{o}}+\cos {{200}^{o}}\]is:

    A) positive

    B) negative

    C) zero

    D) zero or positive

    View Answer play_arrow
  • question_answer106) 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 play_arrow
  • question_answer107) 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 play_arrow
  • question_answer108) 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 play_arrow
  • question_answer109) 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 play_arrow
  • question_answer110) 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 play_arrow
  • question_answer111) 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 play_arrow
  • question_answer112) 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 play_arrow
  • question_answer113) \[\underset{x\to 0}{\mathop{\lim }}\,[\cos x]\]is equal to:

    A) \[-1\]

    B) 1

    C) 0

    D) none of these

    View Answer play_arrow
  • question_answer114) \[\frac{d}{dx}({{\sin }^{-1}}2x\sqrt{1-{{x}^{2}}})\]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 play_arrow
  • question_answer115) \[\int_{0}^{\pi /2}{|\sin x-\cos x|}\,dx\] is equal to:

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

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

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

    D) 0

    View Answer play_arrow
  • question_answer116) 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 play_arrow
  • question_answer117) 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 play_arrow
  • question_answer118) 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 play_arrow
  • question_answer119) 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 play_arrow
  • question_answer120) In the expansion of \[{{(3x+2)}^{4}}\] the coefficient of middle term is:

    A) 36

    B) 216

    C) 54

    D) 81

    View Answer play_arrow
  • question_answer121) 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 play_arrow
  • question_answer122) 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 play_arrow
  • question_answer123) 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 play_arrow
  • question_answer124) \[(\vec{a}+\vec{b}).(\vec{a}-\vec{b})=0\]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 play_arrow
  • question_answer125) 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 play_arrow
  • question_answer126) 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 play_arrow
  • question_answer127) \[\int_{0}^{1}{x{{(1-x)}^{4}}dx}\]is equal to:

    A) 1

    B) 0

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

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

    View Answer play_arrow
  • question_answer128) The function\[f(x)=2-3x\]is:

    A) increasing

    B) decreasing

    C) neither decreasing nor increasing

    D) none of the above

    View Answer play_arrow
  • question_answer129) 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 play_arrow
  • question_answer130) 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 play_arrow
  • question_answer131) 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 play_arrow
  • question_answer132) 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 play_arrow
  • question_answer133) 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 play_arrow
  • question_answer134) 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 play_arrow
  • question_answer135) 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 play_arrow
  • question_answer136) 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 play_arrow
  • question_answer137) 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 play_arrow
  • question_answer138) 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 play_arrow
  • question_answer139) 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 play_arrow
  • question_answer140) 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 play_arrow
  • question_answer141) 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 play_arrow
  • question_answer142) 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 play_arrow
  • question_answer143) 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 play_arrow
  • question_answer144) 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 play_arrow
  • question_answer145) 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 play_arrow
  • question_answer146) 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 play_arrow
  • question_answer147) 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 play_arrow
  • question_answer148) 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 play_arrow
  • question_answer149) 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 play_arrow
  • question_answer150) \[\int_{{}}^{{}}{\frac{\cos 4x-1}{\cot x-\tan x}}dx\]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 play_arrow

   

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