Solved papers for VIT Engineering VIT Engineering Solved Paper-2010

done VIT Engineering Solved Paper-2010

  • question_answer1) A straight wire carrying current \[i\] is turned into a circular loop. If the magnitude of magnetic moment associated with it in MKS unit is \[M\], the length of wire will be

    A) \[\frac{4\pi }{M}\]

    B) \[\sqrt{\frac{4\pi M}{i}}\]

    C) \[\sqrt{\frac{4\pi i}{M}}\]

    D) \[\frac{M\pi }{i}\]

    View Answer play_arrow
  • question_answer2) The ratio of the amounts of heat developed in the four arms of a balance Wheatstone bridge, when the arms have resistances \[P=100\,\Omega \], \[Q=10\,\Omega \], \[R=300\,\Omega \] and \[S=30\,\Omega \] respectively is

    A) 3 : 30 : 1 : 10

    B) 30 : 3 : 10 : 1

    C) 30 : 10 : 1 : 3

    D) 30 : 1 : 3 : 10

    View Answer play_arrow
  • question_answer3) An electric kettle takes 4 A current at 220 V. How much time will it take to boil 1 kg of water from temperature\[20{}^\circ C\]? The temperature of boiling water is\[100{}^\circ C\].

    A) 12.6 min

    B) 4.2 min

    C) 6.3 min

    D) 8.4 min

    View Answer play_arrow
  • question_answer4) Magnetic field at the center of a circular loop of area A is B. The magnetic moment of the loop will be

    A) \[\frac{B{{A}^{2}}}{{{\mu }_{0}}\pi }\]

    B) \[\frac{B{{A}^{3/2}}}{{{\mu }_{0}}\pi }\]

    C) \[\frac{B{{A}^{3/2}}}{{{\mu }_{0}}{{\pi }^{1/2}}}\]

    D) \[\frac{2B{{A}^{3/2}}}{{{\mu }_{0}}{{\pi }^{1/2}}}\]

    View Answer play_arrow
  • question_answer5) In Youngs double slit experiment, the spacing between the slits is d and wavelength of light used is \[\text{6000}\overset{\text{o}}{\mathop{\text{A}}}\,\].If the angular width of a fringe formed on a distance screen is \[1{}^\circ \], then value of \[d\] is

    A) 1 mm

    B) 0.05 mm

    C) 0.03mm

    D) 0.01 mm

    View Answer play_arrow
  • question_answer6) An electric dipole consists of two opposite charges of magnitude \[q=1\times {{10}^{-6}}C\] separated by 2.0 cm. The dipole is placed in an external field of\[1\times {{10}^{5}}N{{C}^{-1}}\]. What maximum torque does the field exert on the dipole? How much work must an external agent do to turn the dipole end to end, starring from position of alignment\[(9=0{}^\circ )\]?

    A) \[4.4\times {{10}^{6}}N-m,\text{ }3.2\times {{10}^{-4}}J\]

    B) \[-2\times {{10}^{-3}}N-m,\text{ }-4\times {{10}^{3}}J\]

    C) \[4\times {{10}^{3}},\text{ }2\times {{10}^{-3}}J\]

    D) \[2\times {{10}^{-3}}N-m,\text{ }4\times {{10}^{-3}}J\]

    View Answer play_arrow
  • question_answer7) The electron of hydrogen atom is considered to be revolving round a proton in circular orbit of radius \[{{h}^{2}}/m{{e}^{2}}\] with velocity\[{{e}^{2}}/h\], where\[h=h/2\pi \]. The current \[i\] is

    A) \[\frac{4{{\pi }^{2}}m{{e}^{5}}}{{{h}^{2}}}\]

    B) \[\frac{4{{\pi }^{2}}m{{e}^{5}}}{{{h}^{3}}}\]

    C) \[\frac{4{{\pi }^{2}}{{m}^{2}}{{e}^{5}}}{{{h}^{3}}}\]

    D) \[\frac{4{{\pi }^{2}}{{m}^{2}}{{e}^{2}}}{{{h}^{3}}}\]

    View Answer play_arrow
  • question_answer8) In a double slit experiment, 5th dark fringe is formed opposite to one of the slits, the wavelength of light is

    A) \[\frac{d{{e}^{2}}}{6D}\]

    B) \[\frac{{{d}^{2}}}{9D}\]

    C) \[\frac{{{d}^{2}}}{15D}\]

    D) \[\frac{{{d}^{2}}}{9D}\]

    View Answer play_arrow
  • question_answer9) Which of the following rays is emitted by a human body?

    A) X-rays

    B) UV rays

    C) Visible rays

    D) IR rays

    View Answer play_arrow
  • question_answer10) A proton of mass \[1.67\times {{10}^{-27}}kg\] enters a uniform magnetic field of 1 T at point A as shown in figure, with a speed of\[{{10}^{7}}m{{s}^{-1}}\]. The magnetic field is directed normal to the plane of paper downwards. The proton emerges out of the magnetic field at point\[C\], then the distance \[AC\] and the value of angle \[\theta \] will respectively be

    A) \[0.7m,\text{ }45{}^\circ \]

    B) \[0.7\text{ }m,\,\,90{}^\circ \]

    C) \[0.14\text{ }m,\text{ }90{}^\circ \]

    D) \[0.14\text{ }m,\text{ }45{}^\circ \]

    View Answer play_arrow
  • question_answer11) A neutral water molecule\[\text{(}{{\text{H}}_{\text{2}}}\text{O)}\]in its vapour state has an electric dipole moment of magnitude\[6.4\times {{10}^{-30}}C-m\]. How far apart are the molecules centres of positive and negative charges?

    A) 4m

    B) 4 mm

    C) \[4\mu \]m

    D) 4 pm

    View Answer play_arrow
  • question_answer12) Figure shows a straight wire of length \[l\] carrying current \[i\]. The magnitude of magnetic field produced by the current at point P is

    A) \[\frac{\sqrt{2}{{\mu }_{0}}i}{\pi l}\]

    B) \[\frac{{{\mu }_{0}}i}{4\pi l}\]

    C) \[\frac{\sqrt{2}{{\mu }_{0}}i}{8\pi l}\]

    D) \[\frac{{{\mu }_{0}}i}{2\sqrt{2}\pi l}\]

    View Answer play_arrow
  • question_answer13) Zener diode is used for

    A) producing oscillations in an oscillator

    B) amplification

    C) stabilization

    D) rectification

    View Answer play_arrow
  • question_answer14) Two light sources are said to be coherent if they are obtained from

    A) two independent point sources emitting light of the same wavelength

    B) a single point source

    C) a wide source

    D) two ordinary bulbs emitting light of different wavelengths

    View Answer play_arrow
  • question_answer15) A small coil is introduced between the poles of an electromagnet so that its axis coincides with the magnetic field direction. The number of turns is n and the cross-sectional area of the coil is A. When the coil turns through \[180{}^\circ \] about its diameter, the charge flowing through the coil is Q. The total resistance of the circuit is R. What is the magnitude of the magnetic induction?

    A) \[\frac{QR}{nA}\]

    B) \[\frac{2QR}{nA}\]

    C) \[\frac{Qn}{2RA}\]

    D) \[\frac{QR}{2nA}\]

    View Answer play_arrow
  • question_answer16) The attenuation in optical fibre is mainly due to

    A) absorption

    B) scattering

    C) neither absorption nor scattering

    D) Both [a] and [b]

    View Answer play_arrow
  • question_answer17) An arc of radius r carries charge. The linear density of charge is \[\lambda \] and the arc subtends an angle \[\frac{\pi }{3}\]at the centre. What is electric potential at the centre?

    A) \[\frac{\lambda }{4{{\varepsilon }_{0}}}\]

    B) \[\frac{\lambda }{8{{\varepsilon }_{0}}}\]

    C) \[\frac{\lambda }{12{{\varepsilon }_{0}}}\]

    D) \[\frac{\lambda }{16{{\varepsilon }_{0}}}\]

    View Answer play_arrow
  • question_answer18) Sinusoidal carrier voltage of frequency 1.5 MHz and amplitude 50 V is amplitude modulated by sinusoidal voltage of frequency 10 kHz producing 50% modulation. The lower and upper side-band frequencies in kHz are

    A) 1490, 1510

    B) 1510,1490

    C) \[\frac{1}{1490},\frac{1}{1510}\]

    D) \[\frac{1}{1510},\frac{1}{1490}\]

    View Answer play_arrow
  • question_answer19) 50\[\Omega \] and 100\[\Omega \] resistors are connected in series. This connection is connected with a battery of 2.4 V. When a voltmeter of 100\[\Omega \]resistance is connected across 100\[\Omega \] resistor, then the reading of the voltmeter will be

    A) 1.6 V

    B) 1.0 V

    C) 1.2 V

    D) 2.0 V

    View Answer play_arrow
  • question_answer20) In space charge limited region, the plate current in a diode is 10 mA for plate voltage 150 V. If the plate voltage is increased to 600V, then the plate current will be

    A) 10 mA

    B) 40 mA

    C) 80 mA

    D) 160 mA

    View Answer play_arrow
  • question_answer21) Light of wavelength strikes a photo-sensitive surface and electrons are ejected with kinetic energy E. If. the kinetic energy is to be increased to 2E, the wavelength must be changed to \[\lambda \]where

    A) \[{{\lambda }^{}}=\frac{\lambda }{2}\]

    B) \[{{\lambda }^{}}=2\lambda \]

    C) \[\frac{\lambda }{2}<{{\lambda }^{}}<\lambda \]

    D) \[{{\lambda }^{}}>\lambda \]

    View Answer play_arrow
  • question_answer22) The maximum velocity of electrons emitted from a metal surface is\[v\], when frequency of light falling on it is\[f\]. The maximum velocity when frequency becomes \[4f\]is

    A) \[2v\]

    B) \[>2v\]

    C) \[<2v\]

    D) between \[2v\] and \[4v\]

    View Answer play_arrow
  • question_answer23) The collector plate in an experiment on photoelectric effect is kept vertically above the emitter plate. Light source is put on and a saturation photo-current is recorded. An electric field is switched on which has a vertically downward direction, then

    A) the photo- current will increase

    B) the kinetic energy of the electrons will increase

    C) the slopping potential will decrease

    D) the threshold wavelength will increase

    View Answer play_arrow
  • question_answer24) A cylindrical conductor of radius R carries a current i. The value of magnetic field at a point which is \[\frac{R}{4}\]distance inside from the surface is 10 T. The value of magnetic field at point which is 4R distance outside from the surface

    A) \[\frac{4}{3}T\]

    B) \[\frac{8}{3}T\]

    C) \[\frac{40}{3}T\]

    D) \[\frac{80}{3}T\]

    View Answer play_arrow
  • question_answer25) The power of a thin convex lens \[\left( _{a}{{n}_{g}}=1.5 \right)\] is 5.0 D. When it is placed in a liquid of refractive index \[_{a}{{n}_{l}},\] then it behaves as a concave lens of focal length 100 cm. The refractive index of the liquid\[_{a}{{n}_{l}},\]will be

    A) 5/3

    B) 4/3

    C) \[\sqrt{3}\]

    D) 5/4

    View Answer play_arrow
  • question_answer26) Find the value of magnetic field between plates of capacitor at a distance 1 m from centre, where electric field varies by \[{{10}^{10}}V/m\]per second.

    A) \[5.56\times {{10}^{-8}}T\]

    B) \[5.56\times {{10}^{-3}}T\]

    C) \[\text{5}\text{.56 }\!\!\mu\!\!\text{ T }\!\!~\!\!\text{ }\!\!~\!\!\text{ }\!\!~\!\!\text{ }\!\!~\!\!\text{ }\!\!~\!\!\text{ }\!\!~\!\!\text{ }\!\!~\!\!\text{ }\!\!~\!\!\text{ }\!\!~\!\!\text{ }\]

    D) \[5.55\text{ }T\]

    View Answer play_arrow
  • question_answer27) sing an AC voltmeter the potential difference in the electrical line in a house is read to be 234 V. If line frequency is known to be 50 cycles/s, the equation for the line voltage is

    A) \[\text{V }\!\!~\!\!\text{ = 165 sin (100 }\!\!\pi\!\!\text{ t)}\]

    B) \[\text{V=331 sin}\,\text{(100 }\!\!\pi\!\!\text{ t)}\]

    C) \[\text{V=220}\,\text{sin}\,\text{(100 }\!\!\pi\!\!\text{ t)}\]

    D) \[\text{V=440 sin (100 }\!\!\pi\!\!\text{ t)}\]

    View Answer play_arrow
  • question_answer28) There are a 25 W - 220 V bulb and a 100 W -220 V line. Which electric bulb will glow more brightly?

    A) 25 W bulb

    B) 100 W bulb

    C) Both will have equal incandescence

    D) Neither 25 W nor 100 W bulb will give light

    View Answer play_arrow
  • question_answer29) Silver has a work function of 4.7 eV. When ultraviolet light of wavelength 100 nm is incident upon it, potential of 7.7 V is required to stop photoelectrons from reaching the collector plate. The potential required to stop electrons when light of wavelength 200 nm is incident upon silver is

    A) 1.5 V

    B) 1.85 V

    C) 1.95 V

    D) 2.37 V

    View Answer play_arrow
  • question_answer30) Two particles X and Y having equal charges, after being accelerated through the same potential difference, enter a region of uniform magnetic field and describe circular paths of radii \[{{R}_{1}}\] and \[{{R}_{2}}\], respectively. The ratio of masses of X and Y is

    A) \[\left( {{R}_{1}}/{{R}_{2}} \right)\]

    B) \[\left( {{R}_{2}}/{{R}_{1}} \right)\]

    C) \[{{\left( {{R}_{1}}/{{R}_{2}} \right)}^{2}}\]

    D) \[\left( {{R}_{1}}/{{R}_{2}} \right)\]

    View Answer play_arrow
  • question_answer31) According to the Bohrs theory of hydrogen atom, the speed of the electron, energy and the radius of its orbit vary with the principal quantum number n, respectively, as

    A) \[\frac{1}{n},\frac{1}{{{n}^{2}}},{{n}^{2}}\]

    B) \[\frac{1}{n},{{n}^{2}}\frac{1}{{{n}^{2}}}\]

    C) \[{{n}^{2}},\frac{1}{{{n}^{2}}},{{n}^{2}}\]

    D) \[n,\frac{1}{{{n}^{2}}},\frac{1}{{{n}^{2}}}\]

    View Answer play_arrow
  • question_answer32) In the hydrogen atom, the electron is making\[6.6\times {{10}^{15}}\,\text{rps}\]. If the radius of the orbit is \[0.53\times {{10}^{-10}}m\], then magnetic field produced at the centre of the orbit is

    A) 140 T

    B) 12.5 T

    C) 1.4 T

    D) 0.14 T

    View Answer play_arrow
  • question_answer33) Two identical light sources \[{{S}_{1}}\] and \[{{S}_{2}}\]emit light of same wavelength\[\lambda \]. These light rays will exhibit interference if

    A) their phase differences remain constant

    B) their phases are distributed randomly

    C) their light intensities remain constant

    D) their light intensities change randomly

    View Answer play_arrow
  • question_answer34) In Meter bridge or Wheatstone bridge for measurement of resistance, the known and the unknown resistances are interchanged. The error so removed is

    A) end correction

    B) index errror

    C) due to temperature effect

    D) random error

    View Answer play_arrow
  • question_answer35) A fish, looking up through the water, sees the outside world contained in a circular horizon. If the refractive index of water is 4/3 and the fish is 12 cm below the surface of water, the radius of the circle in centimetre is

    A) \[\frac{12\,\times \,3}{\sqrt{5}}\]

    B) \[12\,\times \,3\,\times \,\sqrt{5}\]

    C) \[\frac{12\,\times \,3}{\sqrt{7}}\]

    D) \[12\,\times \,3\,\times \,\sqrt{7}\]

    View Answer play_arrow
  • question_answer36) Radio waves diffract around building although light waves do not. The reason is that radio waves

    A) travel with speed larger than c

    B) have much larger wavelength than light

    C) carry news

    D) are not electromagnetic waves

    View Answer play_arrow
  • question_answer37) In the Bohr model of a hydrogen atom, the centripetal force is furnished by the coulomb attraction between the proton and the electron. If \[{{a}_{0}}\] is the radius of the ground state orbit, \[m\] is the mass and \[e\] is charge on the electron and \[{{\varepsilon }_{0}}\] is the vacuum permittivity, the speed of the electron is

    A) \[0\]

    B) \[\frac{e}{\sqrt{{{\varepsilon }_{0}}{{a}_{0}}m}}\]

    C) \[\frac{e}{\sqrt{4\pi {{\varepsilon }_{0}}{{a}_{0}}m}}\]

    D) \[\frac{\sqrt{4\pi {{\varepsilon }_{0}}{{a}_{0}}m}}{e}\]

    View Answer play_arrow
  • question_answer38) A potential difference of \[2V\] is applied between the opposite faces of a Ge crystal plate of area \[1c{{m}^{2}}\] and thickness 0.5 mm. If the concentration of electrons in Ge is \[2\times {{10}^{19}}/{{m}^{2}}\] and mobilitys of electrons and holes are \[\text{0}\text{.36 }{{\text{m}}^{\text{2}}}{{\text{V}}^{\text{-1}}}{{\text{s}}^{\text{-1}}}\]and \[\text{0}\text{.14 }{{\text{m}}^{\text{2}}}{{\text{V}}^{\text{-1}}}{{\text{s}}^{\text{-1}}}\]respectively, then the current flowing through the plate will be

    A) 0.25 A

    B) 0.45 A

    C) 0.56 A

    D) 0.64 A

    View Answer play_arrow
  • question_answer39) An AM wave has 1800 W of total power content. For 100% modulation the carrier should have power content equal to

    A) 1000 W

    B) 1200 W

    C) 1500 W

    D) 1600 W

    View Answer play_arrow
  • question_answer40) Two light rays having the same wavelength \[\lambda \] in vacuum are in phase initially. Then the first ray travels a path \[{{l}_{1}}\] through a medium of refractive index \[{{n}_{1}}\] while the second ray travels a path of length \[{{l}_{2}}\] through a median of refractive index\[{{n}_{2}}\]. The two waves are then combined to observe interference. The phase difference between the two waves is

    A) \[\frac{2\pi }{\lambda }\left( {{l}_{2}}-{{l}_{1}} \right)\]

    B) \[\frac{2\pi }{\lambda }\left( {{n}_{1}}{{l}_{1}}-{{n}_{2}}{{l}_{2}} \right)\]

    C) \[\frac{2\pi }{\lambda }\left( {{n}_{2}}{{l}_{2}}-{{n}_{1}}{{l}_{1}} \right)\]

    D) \[\frac{2\pi }{\lambda }\left( \frac{{{l}_{1}}}{{{n}_{1}}}-\frac{{{l}_{2}}}{{{n}_{2}}} \right)\]

    View Answer play_arrow
  • question_answer41) The correct formula of the complex tetraammineaquachlorocobalt (III) chloride is

    A) \[[Cl({{H}_{2}}O){{(N{{H}_{3}})}_{4}}Co]Cl\]

    B) \[[CoCl({{H}_{2}}O){{(N{{H}_{3}})}_{4}}]Cl\]

    C) \[[Co{{(N{{H}_{3}})}_{4}}({{H}_{2}}O)Cl]Cl\]

    D) \[[CoCl({{H}_{2}}O){{(N{{H}_{3}})}_{4}}]C{{l}_{2}}\]

    View Answer play_arrow
  • question_answer42) The equivalent conductance at infinite dilution of a weak acid such as HF

    A) can be determined by extrapolation of measurements on dilute solutions of \[HCl\],\[HBr\] and \[HI\]

    B) can be determined by measurement on very dilute HF solutions

    C) can best be determined from measurements on dilute solutions of \[NaF\],\[NaCl\] and \[HCl\]

    D) is an undefined quantity

    View Answer play_arrow
  • question_answer43) The product A is

    A) succinic acid

    B) melonic acid

    C) oxalic acid

    D) maleic acid

    View Answer play_arrow
  • question_answer44) For a reaction of type \[A+B\xrightarrow{{}}\] products, it is observed that doubling concentration of A causes the reaction rate to be four times as great, but doubling amount of B does not affect the rate. The unit of rate constant is

    A) \[{{s}^{-1}}\]

    B) \[{{s}^{-1}}\,mol\,\,{{L}^{-1}}\]

    C) \[{{s}^{-1}}\,mo{{l}^{-1}}\,\,L\]

    D) \[s\,\,{{s}^{-1}}\,mo{{l}^{-2}}\,\,{{L}^{2}}\]

    View Answer play_arrow
  • question_answer45) A chemical reaction was carried out at 320 K and 300 K. The rate constants were found to be \[{{k}_{1}}\] and \[{{k}_{2}}\] respectively. Then

    A) \[{{k}_{2}}=4{{k}_{1}}\]

    B) \[{{k}_{2}}=2{{k}_{1}}\]

    C) \[{{k}_{2}}=0.25{{k}_{1}}\]

    D) \[{{k}_{2}}=0.5{{k}_{1}}\]

    View Answer play_arrow
  • question_answer46) The formula of ethyl carbinol is

    A) \[C{{H}_{3}}OH\]

    B) \[C{{H}_{3}}C{{H}_{2}}OH\]

    C) \[C{{H}_{3}}C{{H}_{2}}C{{H}_{2}}OH\]

    D) \[{{(C{{H}_{3}})}_{3}}COH\]

    View Answer play_arrow
  • question_answer47) Which of the following gives red colour in Victor Meyers test?

    A) n-propyl alcohol

    B) Isopropyl alcohol

    C) hert-butyl alcohol

    D) sec-butyl alcohol

    View Answer play_arrow
  • question_answer48) Enthalpy of a compound is equal to its

    A) heat of combustion

    B) heat of formation

    C) heat of reaction

    D) heat of solution

    View Answer play_arrow
  • question_answer49) For which one of the following reactions will there be a positive \[\Delta S\]?

    A) \[{{H}_{2}}O(g)\xrightarrow{{}}{{H}_{2}}O(l)\]

    B) \[{{H}_{2}}+{{I}_{2}}\xrightarrow{{}}2HI\]

    C) \[CaC{{O}_{3}}(s)\xrightarrow{{}}CaO(s)+C{{O}_{2}}(g)\]

    D) \[{{N}_{2}}(g)+3{{H}_{2}}(g)\xrightarrow{{}}2N{{H}_{3}}(g)\]

    View Answer play_arrow
  • question_answer50) Across the lanthanide series, the basicity of the lanthanide hydroxides

    A) increases

    B) decreases

    C) first increases and then decreases

    D) first decreases and then increases

    View Answer play_arrow
  • question_answer51) When p-nitrobromobenzene reacts with sodium ethoxide, the product obtained is

    A) p-nitroanisole

    B) ethyl phenyl ether

    C) p-nitrophenetole

    D) no reaction occurs

    View Answer play_arrow
  • question_answer52) A radioactive element X emits \[3\alpha \],\[1\beta \] and \[1\gamma \]-particles and forms \[_{76}{{Y}^{235}}\]. Element X is

    A) \[_{81}{{X}^{247}}\]

    B) \[_{80}{{X}^{247}}\]

    C) \[_{81}{{X}^{246}}\]

    D) \[_{80}{{X}^{246}}\]

    View Answer play_arrow
  • question_answer53) For the reaction, \[2A(g)+{{B}_{2}}(g)2A{{B}_{2}}(g)\] the equilibrium constant, \[{{K}_{p}}\] at 300 K is 16.0. The value of \[{{K}_{p}}\] for \[A{{B}_{2}}(g)A(g)+1/2{{B}_{2}}(g)\]

    A) \[8\]

    B) \[0.25\]

    C) \[0.125\]

    D) \[32\]

    View Answer play_arrow
  • question_answer54) Frenkel defect is generally observed in

    A) \[AgBr\]

    B) \[AgI\]

    C) \[ZnS\]

    D) All of the above

    View Answer play_arrow
  • question_answer55) Most crystals show good cleavage because their atoms, ions or molecules are weakly

    A) bonded together

    B) strongly bonded together

    C) spherically symmetrical

    D) arranged in planes

    View Answer play_arrow
  • question_answer56) \[[Co{{(N{{H}_{3}})}_{4}}C{{l}_{2}}]N{{O}_{2}}\]and \[[Co{{(N{{H}_{3}})}_{4}}ClN{{O}_{2}}]Cl\] exhibit which type of isomerism?

    A) Geometrical

    B) Optical

    C) Linkage

    D) lonisation

    View Answer play_arrow
  • question_answer57) Which of the following compounds is not coloured?

    A) \[N{{a}_{2}}[Cu{{(Cl)}_{4}}]\]

    B) \[Na[Cd{{(Cl)}_{4}}]\]

    C) \[{{K}_{4}}[Fe{{(CN)}_{6}}]\]

    D) \[{{K}_{3}}[Fe{{(CN)}_{6}}]\]

    View Answer play_arrow
  • question_answer58) Which of the following is a Gattermann aldehyde synthesis?

    A)

    B)

    C)

    D)

    View Answer play_arrow
  • question_answer59) Aldol is

    A) \[\beta \]-hydroxybutyraldehyde

    B) \[\alpha \]-hydroxybutanal

    C) \[\beta \]-hydroxypropanal

    D) None. of the above

    View Answer play_arrow
  • question_answer60) Nitrobenzene can be converted into azobenzene by reduction with

    A) \[Zn,\,N{{H}_{4}}Cl,\,\Delta \]

    B) \[Zn/NaOH,\,C{{H}_{3}}OH\]

    C) \[Zn/NaOH\]

    D) \[LiAl{{H}_{4}}\], ether

    View Answer play_arrow
  • question_answer61) The one which is least basic is

    A) \[N{{H}_{3}}\]

    B) \[{{C}_{6}}{{H}_{5}}N{{H}_{2}}\]

    C) \[{{({{C}_{6}}{{H}_{5}})}_{3}}N\]

    D) \[{{({{C}_{6}}{{H}_{5}})}_{2}}NH\]

    View Answer play_arrow
  • question_answer62) Coordination number of \[Ni\] in \[{{[Ni{{({{C}_{2}}{{O}_{4}})}_{3}}]}^{4-}}\]is

    A) 3

    B) 6

    C) 4

    D) 5

    View Answer play_arrow
  • question_answer63) Mg. is an important component of which biomolecule occurring extensively in living world?

    A) Haemoglobin

    B) Chlorophyll

    C) Florigen

    D) ATP

    View Answer play_arrow
  • question_answer64) Sterling silver is

    A) \[AgN{{O}_{3}}\]

    B) \[A{{g}_{2}}S\]

    C) Alloy of 80% \[Ag+20%\,Cu\]

    D) \[AgCl\]

    View Answer play_arrow
  • question_answer65) Identify the statement which is not correct regarding \[CuS{{O}_{4}}\]

    A) It reacts with \[KI\] to give iodine

    B) It reacts with \[KCl\] to give \[C{{u}_{2}}C{{l}_{2}}\]

    C) It reacts with \[NaOH\] and glucose to give\[C{{u}_{2}}O\]

    D) It gives \[CuO\] on strong heating in air

    View Answer play_arrow
  • question_answer66) Transition metals usually exhibit highest oxidation states in their

    A) chlorides

    B) fluorides

    C) bromides

    D) iodides

    View Answer play_arrow
  • question_answer67) The number of Faradays needed to reduce 4 g equivalents of \[C{{u}^{2+}}\]to \[Cu\] metal will be

    A) \[1\]

    B) \[2\]

    C) \[1/2\]

    D) \[4\]

    View Answer play_arrow
  • question_answer68) Which one of the following cells can convert chemical energy of \[{{H}_{2}}\] and \[{{O}_{2}}\] directly into electrical energy?

    A) Mercury cell

    B) Daniell cell

    C) Fuel cell

    D) Lead storage cell

    View Answer play_arrow
  • question_answer69) On treatment of propanone with dilute \[Ba{{(OH)}_{2}}\], the product formed is

    A) aldol

    B) phorone

    C) propionaldehyde

    D) 4-hydroxy-4-methyl-2-pentanone

    View Answer play_arrow
  • question_answer70) Which of the following converts \[C{{H}_{3}}CON{{H}_{2}}\]to \[C{{H}_{3}}N{{H}_{2}}\]?

    A) \[NaBr\]

    B) \[NaOBr\]

    C) \[B{{r}_{2}}\]

    D) None of the above

    View Answer play_arrow
  • question_answer71) Which metal aprons are worn by radiographer .to protect him from radiation?

    A) Mercury coated apron

    B) Lead apron

    C) Copper apron

    D) Aluminimised apron

    View Answer play_arrow
  • question_answer72) The standard Gibbs free energy change, \[\Delta {{G}^{o}}\] is related to equilibrium constant, \[{{K}_{P}}\] as

    A) \[{{K}_{P}}=-RT\] In \[\Delta {{G}^{o}}\]

    B) \[{{K}_{P}}={{\left[ \frac{e}{RT} \right]}^{\Delta {{G}^{o}}}}\]

    C) \[{{K}_{P}}=-\frac{\Delta G}{RT}\]

    D) \[{{K}_{P}}={{e}^{-\Delta {{G}^{o}}/RT}}\]

    View Answer play_arrow
  • question_answer73) The yield of the product in the reaction \[{{A}_{2}}(g)+2B(g)C(g)+Q\,\,kJ\] would be higher at

    A) high temperature and high pressure

    B) high temperature and low pressure

    C) low temperature and high pressure

    D) low temperature and low pressure

    View Answer play_arrow
  • question_answer74) In which of the following case, does the reaction go farthest to completion?

    A) \[K={{10}^{2}}\]

    B) \[K=10\]

    C) \[K={{10}^{-2}}\]

    D) \[K=1\]

    View Answer play_arrow
  • question_answer75) Formation of cyanohydrin-from a ketone is an example of

    A) electrophilic addition

    B) nucleophilic addition

    C) nucleophilic substitution

    D) electrophilic substitution

    View Answer play_arrow
  • question_answer76) Glycerol on treatment with oxalic acid at \[{{110}^{o}}C\] forms

    A) formic acid

    B) allyl alcohol

    C) \[C{{O}_{2}}\] and \[CO\]

    D) acrolein

    View Answer play_arrow
  • question_answer77) The activity of an old piece of wood is just 25% of the fresh piece of wood. If \[{{t}_{1/2}}\] of C-14 is 6000 yr, the age of piece of wood is

    A) \[6000\text{ }yr\]

    B) \[3000\text{ }yr\]

    C) \[9000\text{ }yr\]

    D) \[12000\text{ }yr\]

    View Answer play_arrow
  • question_answer78) The radius of \[N{{a}^{+}}\] is 95 pm and that of \[C{{l}^{-}}\] ion is 181 pm. Hence, the coordination number of \[N{{a}^{+}}\] will be

    A) 4

    B) 6

    C) 8

    D) unpredictable

    View Answer play_arrow
  • question_answer79) The reaction, \[ROH+{{H}_{2}}C{{N}_{2}}\] in the presence of \[HB{{F}_{4}}\], gives the following product

    A) \[ROC{{H}_{3}}\]

    B) \[RC{{H}_{2}}OH\]

    C) \[ROHC{{N}_{2}}{{N}_{2}}\]

    D) \[RC{{H}_{2}}C{{H}_{3}}\]

    View Answer play_arrow
  • question_answer80) The fatty acid which shows reducing property is

    A) acetic acid

    B) ethanoic acid

    C) oxalic acid

    D) formic acid

    View Answer play_arrow
  • question_answer81) If \[F\] is functions such that \[F(0)=2,\]\[F(1)=3,\]\[F(x+2)=2F(x)-F(x+1)\] for \[x\ge 0,\] than\[F(5)\] is equal to

    A) -7

    B) -3

    C) 17

    D) 13

    View Answer play_arrow
  • question_answer82) Let\[S\]be a set containing \[n\]elements. Then, number of binary operations on \[S\]is

    A) \[{{n}^{n}}\]

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

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

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

    View Answer play_arrow
  • question_answer83) The numerically greatest term in the expansion of \[{{(2-5x)}^{11}}\]when \[x=\frac{1}{5},\]is

    A) \[55\times {{3}^{9}}\]

    B) \[55\times {{3}^{6}}\]

    C) \[45\times {{3}^{6}}\]

    D) \[45\times {{3}^{9}}\]

    View Answer play_arrow
  • question_answer84) The number of solutions of the equation\[\sin \,({{e}^{x}})={{5}^{x}}+{{5}^{-x}},\]is

    A) 0

    B) 1

    C) 2

    D) infinitely many

    View Answer play_arrow
  • question_answer85) If \[{{a}^{x}}={{b}^{y}}={{c}^{z}}={{d}^{u}}\]and \[a,b,c,d\]are in GP, then \[x,y,z,u\]are in

    A) AP

    B) GP

    C) HP

    D) None of these

    View Answer play_arrow
  • question_answer86) If z satisfies the equation \[\left| \,z\, \right|-z=1+2i,\]then z is equal to

    A) \[\frac{3}{2}+2i\]

    B) \[\frac{3}{2}-2i\]

    C) \[2-\frac{3}{2}i\]

    D) \[2+\frac{3}{2}i\]

    View Answer play_arrow
  • question_answer87) If \[z=\frac{1-i\sqrt{3}}{1+i\sqrt{3}},\]then arg (z) is

    A) \[60{}^\circ \]

    B) \[120{}^\circ \]

    C) \[240{}^\circ \]

    D) \[300{}^\circ \]

    View Answer play_arrow
  • question_answer88) If \[f(x)=\sqrt{{{\log }_{10}}{{x}^{2}}}.\] The set of all values of \[x\]for which \[f(x)\]is real, is

    A) \[[-1,\,1]\]

    B) \[[1,\,\infty )\]

    C) \[(-\infty ,\,-1]\]

    D) \[(-\infty ,\,-1]\cup [1,\infty )\]

    View Answer play_arrow
  • question_answer89) For what values of m can the expression \[2{{x}^{2}}+mxy+3{{y}^{2}}-5y-2\] be expressed as the product of two linear factors?

    A) \[0\]

    B) \[\pm 1\]

    C) \[\pm 7\]

    D) \[49\]

    View Answer play_arrow
  • question_answer90) If \[B\]is non-singular matrix and\[A\]is a square matrix, then det\[({{B}^{-1}}AB)\]is equal to

    A) \[\det \,({{A}^{-1}})\]

    B) \[\det \,({{B}^{-1}})\]

    C) \[\det \,(A)\]

    D) \[\det \,(B)\]

    View Answer play_arrow
  • question_answer91) If \[f(x),\,g(x)\]and \[h\,(x)\]are three polynomials of degree 2 and \[\Delta (x)=\left| \begin{matrix} f(x) & g(x) & h(x) \\ f(x) & g(x) & h(x) \\ f(x) & g(x) & h(x) \\ \end{matrix} \right|\] then \[\Delta (x)\]is a polynomial of degree

    A) 2

    B) 3

    C) 0

    D) atmost 3

    View Answer play_arrow
  • question_answer92) The chances of defective screws in three boxes A, B, C are \[\frac{1}{5},\frac{1}{6},\frac{1}{7}\]respectively. A box is selected at random and a screw drawn from it at random is found to be defective, Then, the probability that it came from box A, is

    A) \[\frac{16}{29}\]

    B) \[\frac{1}{15}\]

    C) \[\frac{27}{59}\]

    D) \[\frac{42}{107}\]

    View Answer play_arrow
  • question_answer93) The value of \[\frac{\cos \theta }{1+\sin \theta }\]is equal to

    A) \[\tan \left( \frac{\theta }{2}-\frac{\pi }{4} \right)\]

    B) \[\tan \left( -\frac{\pi }{4}-\frac{\theta }{2} \right)\]

    C) \[\tan \left( \frac{\pi }{4}-\frac{\theta }{2} \right)\]

    D) \[\tan \left( \frac{\pi }{4}+\frac{\theta }{2} \right)\]

    View Answer play_arrow
  • question_answer94) If \[3\sin \theta +5cos\theta =5,\] then the value of \[5\sin \theta -3cos\theta \]is equal to

    A) 5

    B) 4

    C) 3

    D) None of these

    View Answer play_arrow
  • question_answer95) The principal value of \[{{\sin }^{-1}}\left\{ \sin \frac{5\pi }{6} \right\}\]is

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

    B) \[\frac{5\pi }{6}\]

    C) \[\frac{7\pi }{6}\]

    D) None of these

    View Answer play_arrow
  • question_answer96) A rod of length \[l\]slides with its ends of two perpendicular lines. Then, the locus of its mid-point is

    A) \[{{x}^{2}}+{{y}^{2}}=\frac{{{l}^{2}}}{4}\]

    B) \[{{x}^{2}}+{{y}^{2}}=\frac{{{l}^{2}}}{2}\]

    C) \[{{x}^{2}}-{{y}^{2}}=\frac{{{l}^{2}}}{4}\]

    D) None of these

    View Answer play_arrow
  • question_answer97) The equation of straight line through the intersection of line \[2x+y=1\]and \[3x+2y=5\]and passing through the origin is

    A) \[7x+3y=0\]

    B) \[7x-y=0\]

    C) \[3x+2y=0\]

    D) \[x+y=0\]

    View Answer play_arrow
  • question_answer98) The line joining (5, 0) to \[(10\,\cos \theta ,\,10\sin \theta )\] is divided internally in the ratio 2 : 3 at P. If \[\theta \]varies, then the locus of P is

    A) a straight line

    B) a pair of straight lines

    C) a circle

    D) None of the above

    View Answer play_arrow
  • question_answer99) If \[2x+y+k=0\]is a normal to the parabola \[{{y}^{2}}=-8x,\]then the value of k, is

    A) 8

    B) 16

    C) 24

    D) 32

    View Answer play_arrow
  • question_answer100) \[\underset{n\to \infty }{\mathop{\lim }}\,\left[ \frac{1}{1\cdot 2}+\frac{1}{2\cdot 3}+\frac{1}{3\cdot 4}+.....+\frac{1}{n\,(n+1)} \right]\] is equal to

    A) 1

    B) -1

    C) 0

    D) None of these

    View Answer play_arrow
  • question_answer101) The condition that the line \[lx+my=1\]may be normal to the curve\[{{y}^{2}}=4ax,\]is

    A) \[a{{l}^{3}}-2al{{m}^{2}}={{m}^{2}}\]

    B) \[a{{l}^{2}}+2al{{m}^{3}}={{m}^{2}}\]

    C) \[a{{l}^{3}}+2al{{m}^{2}}={{m}^{3}}\]

    D) \[a{{l}^{3}}+2al{{m}^{2}}={{m}^{2}}\]

    View Answer play_arrow
  • question_answer102) If \[\int{f(x)dx=f(x),}\] then \[\int{{{\left\{ f(x) \right\}}^{2}}dx}\]is equal to

    A) \[\frac{1}{2}{{\left\{ f(x) \right\}}^{2}}\]

    B) \[{{\left\{ f(x) \right\}}^{3}}\]

    C) \[\frac{{{\left\{ f(x) \right\}}^{3}}}{3}\]

    D) \[{{\left\{ f(x) \right\}}^{2}}\]

    View Answer play_arrow
  • question_answer103) \[\int{{{\sin }^{-1}}\left\{ \frac{(2x+2)}{\sqrt{4{{x}^{2}}+8x+13}} \right\}}\,dx\]is equal to

    A) \[(x+1){{\tan }^{-1}}\left( \frac{2x+2}{3} \right)\] \[-\frac{3}{4}\log \left( \frac{4{{x}^{2}}+8x+13}{9} \right)+c\]

    B) \[\frac{3}{2}{{\tan }^{-1}}\left( \frac{2x+2}{3} \right)\] \[-\frac{3}{4}\log \left( \frac{4{{x}^{2}}+8x+13}{9} \right)+c\]

    C) \[(x+1){{\tan }^{-1}}\left( \frac{2x+2}{3} \right)\] \[-\frac{3}{2}\log \,(4{{x}^{2}}+8x+13)+c\]

    D) \[\frac{3}{2}(x+1){{\tan }^{-1}}\left( \frac{2x+2}{3} \right)\] \[-\frac{3}{4}\log \,(4{{x}^{2}}+8x+13)+c\]

    View Answer play_arrow
  • question_answer104) If the equation of an ellipse is \[3{{x}^{2}}+2{{y}^{2}}+6x-8y+5=0,\] then which of the following are true?

    A) \[e=\frac{1}{\sqrt{3}}\]

    B) centre is \[(-1,\,2)\]

    C) foci are \[(-1,\,1)\]are \[(-1,\,3)\]

    D) All of the above

    View Answer play_arrow
  • question_answer105) The equation of the common tangents to the two hyperbolas \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\]and \[\frac{{{y}^{2}}}{{{a}^{2}}}-\frac{{{x}^{2}}}{{{b}^{2}}}=1,\]are

    A) \[y=\pm \,\,x\,\,\pm \sqrt{{{b}^{2}}-{{a}^{2}}}\]

    B) \[y=\pm \,\,x\,\,\pm \sqrt{{{a}^{2}}-{{b}^{2}}}\]

    C) \[y=\pm \,\,x\,\,\pm \sqrt{{{a}^{2}}+{{b}^{2}}}\]

    D) \[y=\pm \,\,x\,\,\pm \left( {{a}^{2}}-{{b}^{2}} \right)\]

    View Answer play_arrow
  • question_answer106) Domain of the function \[f(x)={{\log }_{x}}\cos x,\]is

    A) \[\left( -\frac{\pi }{2},\frac{\pi }{2} \right)-\{\,1\,\}\]

    B) \[\left[ -\frac{\pi }{2},\frac{\pi }{2} \right]-\{\,1\,\}\]

    C) \[\left( -\frac{\pi }{2},\frac{\pi }{2} \right)\]

    D) None of these

    View Answer play_arrow
  • question_answer107) Range of the function \[y={{\sin }^{-1}}\left( \frac{{{x}^{2}}}{1+{{x}^{2}}} \right),\]is

    A) \[\left( 0,\frac{\pi }{2} \right)\]

    B) \[\left[ \underset{{}}{\mathop{0,}}\, \right.\left. \frac{\pi }{2} \right)\]

    C) \[\left( \left. 0,\frac{\pi }{2} \right] \right.\]

    D) \[\left[ 0,\,\frac{\pi }{2} \right]\]

    View Answer play_arrow
  • question_answer108) If \[x=\sec \theta -\cos \theta ,\] \[y={{\sec }^{n}}\theta -{{\cos }^{n}}\theta ,\] then \[({{x}^{2}}+4){{\left( \frac{dy}{dx} \right)}^{2}}\]is equal to

    A) \[{{n}^{2}}({{y}^{2}}-4)\]

    B) \[{{n}^{2}}(4-{{y}^{2}})\]

    C) \[{{n}^{2}}({{y}^{2}}+4)\]

    D) None of these

    View Answer play_arrow
  • question_answer109) If \[y=\sqrt{x+\sqrt{y+\sqrt{x+\sqrt{y+.....\infty }}}},\]then \[\frac{dy}{dx}\]is equal to

    A) \[\frac{y+x}{{{y}^{2}}-2x}\]

    B) \[\frac{{{y}^{3}}-x}{2{{y}^{2}}-2xy-1}\]

    C) \[\frac{{{y}^{3}}+x}{2{{y}^{2}}-x}\]

    D) None of these

    View Answer play_arrow
  • question_answer110) If \[\int_{1}^{x}{\frac{dt}{\left| \,t\, \right|\sqrt{{{t}^{2}}-1}}}=\frac{\pi }{6},\]then \[x\]can be equal to

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

    B) \[\sqrt{3}\]

    C) \[2\]

    D) None of these

    View Answer play_arrow
  • question_answer111) The area bounded by the curve \[y=\left| \,\sin x\, \right|,\]\[x\text{-}\]axis and the lines \[\left| \,x\, \right|=\pi ,\]is

    A) 2 sq unit

    B) 1 sq unit

    C) 4 sq unit

    D) None of these

    View Answer play_arrow
  • question_answer112) The degree of the differential equation of all curves having normal of constant length c is

    A) 1

    B) 3

    C) 4

    D) None of these

    View Answer play_arrow
  • question_answer113) If \[\overrightarrow{a}=2\hat{i}+2\hat{j}+3\hat{k},\] \[\overrightarrow{b}=-\hat{i}+2\hat{j}+\hat{k}\] and \[\overrightarrow{c}=3\hat{i}+\hat{j},\] then \[\overrightarrow{a}+t\,\overrightarrow{b}\] is perpendicular to \[\overrightarrow{c},\]if t is equal to

    A) 2

    B) 4

    C) 6

    D) 8

    View Answer play_arrow
  • question_answer114) The distance between the line \[\overrightarrow{r}=2\hat{i}-2\hat{j}+3\hat{k}+\lambda (\hat{i}-\hat{j}+4\hat{k})\] and the plane \[\overrightarrow{r}\cdot (\hat{i}+5\hat{j}+\hat{k})=5,\]is

    A) \[\frac{10}{3}\]

    B) \[\frac{10}{\sqrt{3}}\]

    C) \[\frac{10}{3\sqrt{3}}\]

    D) \[\frac{10}{9}\]

    View Answer play_arrow
  • question_answer115) The equation of sphere concentric with the sphere \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-4x-6y-8z-5=0\]and which passes through the origin is

    A) \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-4x-6y-8z=0\]

    B) \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-6y-8z=0\]

    C) \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}=0\]

    D) \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-4x-6y-8z-6=0\]

    View Answer play_arrow
  • question_answer116) If the lines \[\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-1}{4}\] and \[\frac{x-3}{1}=\frac{y-k}{2}=\frac{z}{1}\] intersect, then the value of k, is

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

    B) \[\frac{9}{2}\]

    C) \[-\frac{2}{9}\]

    D) \[-\frac{3}{2}\]

    View Answer play_arrow
  • question_answer117) The two curves \[y={{3}^{x}}\]and \[y={{5}^{x}}\]intersect at an angle

    A) \[{{\tan }^{-1}}\left( \frac{\log 3-\log 5}{1+\log 3\,\,\log 5} \right)\]

    B) \[{{\tan }^{-1}}\left( \frac{\log 3+\log 5}{1-\log 3\,\,\log 5} \right)\]

    C) \[{{\tan }^{-1}}\left( \frac{\log 3+\log 5}{1+\log 3\,\,\log 5} \right)\]

    D) \[{{\tan }^{-1}}\left( \frac{\log 3-\log 5}{1-\log 3\,\,\log 5} \right)\]

    View Answer play_arrow
  • question_answer118) The equation \[\lambda {{x}^{2}}+4xy+{{y}^{2}}+\lambda x+3y+2=0\] represents a parabola, if \[\lambda \] is

    A) 0

    B) 1

    C) 2

    D) 4

    View Answer play_arrow
  • question_answer119) If two circles \[2{{x}^{2}}+2{{y}^{2}}-3x+6y+k=0\] and \[{{x}^{2}}+{{y}^{2}}-4x+10y+16=0\] cut orthogonally, then the value of k is

    A) 41

    B) 14

    C) 4

    D) 1

    View Answer play_arrow
  • question_answer120) If \[A\,(-2,\,1),\] \[B\,(2,\,3)\] and \[C\,(-2,\,-4)\] are three points. Then the angle between \[BA\]and \[BC\]is

    A) \[{{\tan }^{-1}}\left( \frac{2}{3} \right)\]

    B) \[{{\tan }^{-1}}\left( \frac{3}{2} \right)\]

    C) \[{{\tan }^{-1}}\left( \frac{1}{3} \right)\]

    D) \[{{\tan }^{-1}}\left( \frac{1}{2} \right)\]

    View Answer play_arrow

   

You need to login to perform this action.
You will be redirected in 3 sec spinner

Free
Videos