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Solved papers for JCECE Engineering JCECE Engineering Solved Paper-2002

done JCECE Engineering Solved Paper-2002

  • question_answer1) A long spring is stretched by \[2\,\,cm\]. Its potential energy is \[U\]. If the spring is stretched by \[10\,\,cm,\] the potential energy stored in it will be:

    A) \[\frac{U}{25}\]

    B) \[\frac{U}{5}\]

    C) \[3U\]

    D) \[25U\]

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  • question_answer2) The coefficient of restitution e for a perfectly elastic collision is:

    A) \[1\]

    B) zero

    C) infinite

    D) \[-1\]

    View Answer play_arrow
  • question_answer3) A soap bubble is given negative charge. Then its radius:

    A) decreases

    B) increases

    C) remains unchanged

    D) nothing can be said because sufficient information is not available

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  • question_answer4) Source of energy in sun is caused by:

    A) fusion of heavy nuclei

    B) fission of heavy nuclei

    C) fusion of hydrogen nuclei

    D) fission of hydrogen nuclei

    View Answer play_arrow
  • question_answer5) A particle moves along a circular path under the action of a force. The work done by the force is:

    A) positive and non-zero

    B) negative and non-zero

    C) zero

    D) none of the above

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  • question_answer6) A particle is moving in a circle with uniform speed. It has constant:

    A) velocity

    B) acceleration

    C) kinetic energy

    D) displacement

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  • question_answer7) If\[|\overset{\to }{\mathop{\mathbf{A}}}\,+\overset{\to }{\mathop{\mathbf{B}}}\,|=|\overset{\to }{\mathop{\mathbf{A}}}\,-\overset{\to }{\mathop{\mathbf{B}}}\,|\],\[A\] and \[B\] are finite then:

    A) \[\overset{\to }{\mathop{\mathbf{A}}}\,\] is parallel to \[\overset{\to }{\mathop{\mathbf{B}}}\,\]

    B) \[\overset{\to }{\mathop{\mathbf{A}}}\,\] is anti-parallel to \[\overset{\to }{\mathop{\mathbf{B}}}\,\]

    C) \[\overset{\to }{\mathop{\mathbf{A}}}\,\] and \[\overset{\to }{\mathop{\mathbf{B}}}\,\] are equal in magnitude

    D) \[\overset{\to }{\mathop{\mathbf{A}}}\,\] and \[\overset{\to }{\mathop{\mathbf{B}}}\,\] are mutually perpendicular

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  • question_answer8) A number of small drops of mercury adiabatically coalesce to form a single drop. The temperature of the drop:

    A) increases

    B) remains same

    C) decreases

    D) depend on size

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  • question_answer9) Light waves can be polarised as they are:

    A) transverse

    B) of high frequency

    C) longitudinal

    D) reflected

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  • question_answer10) In which process the speed of transfer of heat is maximum?

    A) Conduction

    B) Convection

    C) Radiation

    D) In all these heat is transferred with the same speed

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  • question_answer11) Young's experiment establishes that:

    A) light consists of waves

    B) light consists of particles

    C) light is neither of particles nor waves

    D) light consists of particles and waves both

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  • question_answer12) A heating coil is labelled \[100\,\,W,\,\,\text{ }220\,\,V\]. The coil is cut into two equal pieces and the two pieces are joined in parallel to the same source. The energy now liberated per second is:

    A) \[400\,\,J\]

    B) \[25\,\,J\]

    C) \[50\,\,J\]

    D) \[200\,\,J\]

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  • question_answer13) Bending of light rays around the edges of an obstacle is known as:

    A) refraction

    B) polarization

    C) diffraction

    D) reflection

    View Answer play_arrow
  • question_answer14) A convex lens of focal length \[40\,\,cm\] is in contact with a concave lens of focal length\[25\,\,cm\]. The power of the combination of the two lenses is:

    A) \[-1.5\,\,D\]

    B) \[-6.5\,\,D\]

    C) \[6.5\,\,D\]

    D) \[6.67\,\,D\]

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  • question_answer15) Particle \[A\] moves in \[S\text{-}N\] direction and particle \[B\] moves in \[W\text{-}E\] direction. Then the .velocity of particle \[A\] with respect to \[B\] is:

    A) \[N\text{-}W\] direction

    B) \[N\text{-}E\] direction

    C) \[S\text{-}W\] direction

    D) \[S\text{-}E\]direction

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  • question_answer16) Weightlessness experienced while orbiting the earth in space ships is the result of:

    A) inertia

    B) acceleration

    C) zero gravity

    D) centre of gravity

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  • question_answer17) If one mole of a monoatomic gas \[(\gamma =5/3)\] is mixed with one mole of a diatomic gas \[(\gamma =7/5)\], the value of \[\gamma \] for the mixture is:

    A) \[1.40\]

    B) \[1.50\]

    C) \[1.53\]

    D) \[3.07\]

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  • question_answer18) Which of the following statements is wrong?

    A) Sound travels in straight line

    B) Sound travels as waves

    C) Sound is a form of energy

    D) Sound travels faster in vacuum than in air

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  • question_answer19) If momentum of a certain body is increased by \[50%\], then increases in the KE of the body will be:

    A) \[25%\]

    B) \[50%\]

    C) \[100%\]

    D) \[125%\]

    View Answer play_arrow
  • question_answer20) A uniform chain of length \[L\] and mass \[M\] is lying on a smooth table and one-third of its length is hanging vertically down over the edge of the table. If \[g\] is the acceleration due to gravity the work required to pull the hanging pan of the chain on the table is:

    A) \[MgL\]

    B) \[\frac{1}{3}MgL\]

    C) \[\frac{1}{9}MgL\]

    D) \[\frac{1}{18}MgL\]

    View Answer play_arrow
  • question_answer21) In the arrangement shown in the figure for vertical oscillations of the mass \[m\], the period is:

    A) \[T=2\pi \sqrt{\frac{m}{{{k}_{1}}+{{k}_{2}}}}\]

    B) \[T=2\pi \sqrt{\frac{{{k}_{1}}+{{k}_{2}}}{m}}\]

    C) \[T=2\pi \sqrt{\frac{m({{k}_{1}}+{{k}_{2}})}{{{k}_{1}}+{{k}_{2}}}}\]

    D) \[T=2\pi \sqrt{\frac{mg}{{{k}_{1}}+{{k}_{2}}}}\]

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  • question_answer22) A person completes half of its journey with speed vi and rest half with speed \[{{v}_{2}}\]. The average speed of the person is:

    A) \[v=\frac{1}{2}({{v}_{1}}+{{v}_{2}})\]

    B) \[v=\frac{2{{v}_{1}}{{v}_{2}}}{{{v}_{1}}+{{v}_{2}}}\]

    C) \[v=\frac{{{v}_{1}}{{v}_{2}}}{{{v}_{1}}+{{v}_{2}}}\]

    D) \[v=\sqrt{{{v}_{1}}{{v}_{2}}}\]

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  • question_answer23) A particle moves along a straight line such that its displacement at any time \[t\] is given by\[s={{t}^{3}}-3{{t}^{2}}+2m\]. The displacement when the acceleration becomes zero is:

    A) \[zero\]

    B) \[2\,\,m\]

    C) \[3\,\,m\]

    D) \[-2\,\,m\]

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  • question_answer24) \[[M{{L}^{2}}{{T}^{-3}}]\] represents the dimensions of:

    A) pressure

    B) energy

    C) power

    D) force

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  • question_answer25) The time period of a simple pendulum in a lift descending with constant acceleration \[g\] is:

    A) \[T=2\pi \sqrt{\frac{l}{8}}\]

    B) \[T=2\pi \sqrt{\frac{l}{2g}}\]

    C) zero

    D) infinite

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  • question_answer26) A transverse wave is given by\[y=A\sin 2\pi \left( \frac{t}{T}-\frac{x}{\lambda } \right)\]. The maximum particle, velocity is equal to 4 times the wave velocity, when:

    A) \[\lambda =2\pi A\]

    B) \[\lambda =\frac{1}{2}\pi A\]

    C) \[\lambda =\pi \,\,A\]

    D) \[\lambda =\frac{1}{4}\pi A\]

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  • question_answer27) A tuning fork gives \[4\] beats with \[50\,\,cm\] length of a sonometer wire. If the length of the wire is shortened by \[1\,\,cm\] the number of beats is still the same. The frequency of the fork is:

    A) \[396\,\,Hz\]

    B) \[400\,\,Hz\]

    C) \[404\,\,Hz\]

    D) \[384\,\,Hz\]

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  • question_answer28) Electron volt is a unit of:

    A) potential

    B) charge

    C) power

    D) energy

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  • question_answer29) Light of frequency \[v\] is incident on a certain photoelectric substance with threshold frequency \[{{v}_{0}}\]. The work function for the substance is:

    A) \[hv\]

    B) \[h{{v}_{0}}\]

    C) \[h(v-{{v}_{0}})\]

    D) \[h(v+{{v}_{0}})\]

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  • question_answer30) For principal quantum number \[n=3\] the possible values of orbital quantum number\[l\]are:

    A) \[1,\,\,2,\,\,3\]

    B) \[0,\,\,1,\,\,2,\,\,3\]

    C) \[0,\,\,1,\,\,2\]

    D) \[-1,\,\,0,\,\,+1\]

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  • question_answer31) Certain radioactive substance reduces to \[25%\] of its value in \[16\] days. Its half-life is:

    A) 32 days

    B) 8 days

    C) 64 days

    D) 28 days

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  • question_answer32) Penetrating power of \[X-\]rays does not depend on:

    A) wavelength

    B) energy

    C) potential difference

    D) current in the filament

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  • question_answer33) The ratio of resistance for forward to reverse bias of \[p-n\] junction is:

    A) \[{{10}^{2}}:1\]

    B) \[{{10}^{-2}}:1\]

    C) \[1:{{10}^{-4}}\]

    D) \[1:{{10}^{4}}\]

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  • question_answer34) If a current flows through an infinitely long straight wire, the magnetic field produced at a point \[1\,\,m\] away from it, is:

    A) \[2\times {{10}^{-3}}T\]

    B) \[2\times {{10}^{-1}}T\]

    C) \[2\times {{10}^{-7}}T\]

    D) \[2\pi \times {{10}^{-6}}T\]

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  • question_answer35) Two circular discs \[A\] and \[B\] with equal radii are blackened. They are heated to same temperature and are cooled under identical conditions. What inference do you draw from their cooling curves?

    A) \[A\] and \[B\] have same specific heats

    B) Specific heat of \[A\] is less

    C) Specific heat of \[B\] is less

    D) Nothing can be said

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  • question_answer36) When a charged particle, travelling with uniform speed enters a uniform magnetic field perpendicularly then, its kinetic energy:

    A) remains constant

    B) increases

    C) decreases

    D) becomes zero

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  • question_answer37) A circular coil of radius \[4\,\,cm\] and number of turns \[20\] carries a current of \[3\,\,A\]. It is placed in a magnetic field of \[0.5\,\,T\]. The magnetic dipole moment of the coil is:

    A) \[0.60\,\,A{{m}^{2}}\]

    B) \[0.45\,\,A{{m}^{2}}\]

    C) \[0.30\,\,A{{m}^{2}}\]

    D) \[0.15\,\,A{{m}^{2}}\]

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  • question_answer38) In a circuit 5% of total current passes through a galvanometer. If resistance of the galvanometer is \[G\], then value of the shunt is:

    A) \[19\,\,G\]

    B) \[20\,\,G\]

    C) \[G/20\]

    D) \[G/19\]

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  • question_answer39) In a moving coil galvanometer, deflection \[\phi \] and current \[I\] flowing through it are related by:

    A) \[I\propto \tan \phi \]

    B) \[I\propto \phi \]

    C) \[I\propto {{\phi }^{2}}\]

    D) \[I\propto 1/\phi \]

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  • question_answer40) A solenoid of length \[l\] metre has self-inductance \[L\] henry. If number of turns are doubled, its self-inductance:

    A) remains same

    B) becomes \[2L\] henry

    C) becomes \[4L\] henry

    D) becomes \[\frac{L}{\sqrt{2}}\] henry

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  • question_answer41) The voltage of an AC supply varies with time \[(t)\] as \[V=120\sin \,\,100\pi t\cos \,\,100\pi t\]. The maximum voltage and frequency respectively are:

    A) \[120\,\,V,\,\,100\,\,Hz\]

    B) \[120/\sqrt{2}V,\,\,100\,\,Hz\]

    C) \[60\,\,V,\,\,200\,\,Hz\]

    D) \[60\,\,V,\,\,100\,\,Hz\]

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  • question_answer42) Two point charges of \[+3\mu C\] and \[-3\mu C\] are at a distance\[2\times 10\,\,m\] apart from each other. The electric field at a distance of \[0.6\,\,m\] from the dipole in broadside-on position is:

    A) \[150\,\,N{{C}^{-1}}\]

    B) \[250\,\,N{{C}^{-1}}\]

    C) \[60\,\,N{{C}^{-1}}\]

    D) \[35\,\,N{{C}^{-1}}\]

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  • question_answer43) Two parallel large thin metal sheets have equal surface charge densities \[(\sigma =26.4\times {{10}^{-12}}C/{{m}^{2}})\] of opposite signs. The electric field between these sheets is:

    A) \[1.5\,\,N/C\]

    B) \[1.5\times {{10}^{-10}}N/C\]

    C) \[3\,\,N/C\]

    D) \[3\times {{10}^{-10}}N/C\]

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  • question_answer44) \[N\] identical spherical drops are charged to the same potential \[V\]. They combine to form a bigger drop. The potential of the big drop will be:

    A) \[V{{N}^{1/3}}\]

    B) \[V{{N}^{2/3}}\]

    C) \[V\]

    D) \[VN\]

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  • question_answer45) Three condensers of capacitance \[2\mu F\] each are connected in series. The resultant capacitance is:

    A) \[6\mu F\]

    B) \[3/2\mu F\]

    C) \[2/3\mu F\]

    D) \[5\mu F\]

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  • question_answer46) Two electric bulbs rated \[{{P}_{1}}\] watt, \[V\] volt and \[{{P}_{2}}\] wan, \[V\] volt are connected in parallel and \[V\] volt supply is applied to them. The total power will be:

    A) \[{{P}_{1}}+{{P}_{2}}\]

    B) \[\sqrt{{{P}_{1}}{{P}_{2}}}\]

    C) \[\frac{{{P}_{1}}{{P}_{2}}}{{{P}_{1}}+{{P}_{2}}}\]

    D) \[\frac{{{P}_{1}}+{{P}_{2}}}{{{P}_{1}}{{P}_{2}}}\]

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  • question_answer47) A hole is in the bottom of the tank having water. If total pressure at the bottom is \[3\,\,atm\] \[(1\,\,atm={{10}^{5}}N{{m}^{-2}})\], then velocity of water flowing from hole is:

    A) \[\sqrt{400}m{{s}^{-1}}\]

    B) \[\sqrt{600}m{{s}^{-1}}\]

    C) \[\sqrt{60}m{{s}^{-1}}\]

    D) \[\sqrt{40}m{{s}^{-1}}\]

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  • question_answer48) A fluid of volume \[1\,\,L\] is subjected to a pressure change of\[{{10}^{7}}N/{{m}^{2}}\]. As a result its volume changes by \[0.4\,\,c{{m}^{3}}\]. The bulk modulus of the fluid is:

    A) \[2.5\times {{10}^{10}}N/{{m}^{2}}\]

    B) \[2.5\times {{10}^{11}}N/{{m}^{2}}\]

    C) \[2.5\times {{10}^{9}}N/{{m}^{2}}\]

    D) \[2.5\times {{10}^{15}}N/{{m}^{2}}\]

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  • question_answer49) Stationary waves are so called because in them:

    A) the particles of the medium are not disturbed at all

    B) the particles of the medium do not execute \[SHM\]

    C) Particles do not correspond flow of energy along the wire

    D) the interference effect cannot be observed

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  • question_answer50) If the degrees of freedom of the molecules of a gas are n, the ratio of its two specific heats\[({{C}_{P}}/{{C}_{V}})\]will be:

    A) \[1+\frac{2}{n}\]

    B) \[1-\frac{2}{n}\]

    C) \[1+\frac{1}{n}\]

    D) \[2-\frac{1}{n}\]

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  • question_answer51) In a radioactive decay:

    A) \[\alpha \] then \[\beta \] and then \[\gamma \] emitted

    B) \[\alpha \] or \[\beta \] and then \[\gamma \] emitted

    C) \[\alpha \] and \[\beta \] and \[\gamma \] emitted simultaneously

    D) \[\alpha \] and \[\beta \] emitted simultaneously

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  • question_answer52) The work function of a metal is \[1\,\,eV\]. If \[3000\overset{\text{o}}{\mathop{\text{A}}}\,\] wavelength light is incident, the value of stopping voltage is:

    A) \[1\,\,V\]                                            

    B) \[3.75\,\,V\]

    C)  \[3.2\,\,V\]                       

    D)  \[0.75\,\,V\]

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  • question_answer53) Equation for a real gas is\[\left( P+\frac{a}{{{V}^{2}}} \right)(V-b)=RT\]where P= pressure, \[V=\] volume, \[a,\,\,b\] and \[R\] constants, dimensional formula of \[a\] is:

    A) \[{{L}^{6}}\]

    B) \[{{M}^{1}}{{L}^{-1}}{{T}^{2}}\]

    C) \[{{M}^{1}}{{L}^{5}}{{T}^{-2}}\]

    D) \[{{L}^{3}}\]

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  • question_answer54) A monoatomic ideal gas is compressed to its \[1/8\] volume adiabatically at \[{{17}^{o}}C\]. Temperature after compression will be:

    A) \[{{34}^{o}}C\]

    B) \[{{17}^{o}}C\]

    C) \[{{136}^{o}}C\]

    D) \[{{887}^{o}}C\]

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  • question_answer55) Which quantity remains constant in adiabatic process?

    A) Work

    B) Heat

    C) Temperature

    D) All of these

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  • question_answer56) Which formula is incorrect for root mean square velocity?

    A) \[\sqrt{\frac{3RT}{M}}\]

    B) \[\sqrt{\frac{3PV}{M}}\]

    C) \[\sqrt{\frac{3d}{P}}\]

    D) \[\sqrt{\frac{2KE}{M}}\]

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  • question_answer57) If the number of molecules of hydrogen is double to that of oxygen, at the same temperature, the ratio of their average \[KE\] per molecule is:

    A) \[1:1\]

    B) \[2:3\]

    C) \[1:2\]

    D) \[1:4\]

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  • question_answer58) A liquid boils at that temperature at which the pressure of saturated vapour is:

    A) more than atmospheric pressure

    B) double to atmospheric pressure

    C) equal to atmospheric pressure

    D) less than atmospheric pressure

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  • question_answer59) What is the value of \[\frac{PV}{T}\] for a \[1\] mole of gas?

    A) \[4.2\times {{10}^{7}}cal/K\]

    B) \[4.2cal/K\]

    C) \[8.31cal/K\]

    D) \[2cal/K\]

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  • question_answer60) If a proton totally converts into energy, the value of energy will be:

    A) \[190\,\,MeV\]

    B) \[931\,\,MeV\]

    C) \[93.1\,\,MeV\]

    D) \[931\,\,J\]

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  • question_answer61) Experimental verification of matter waves was done by:

    A) de-Broglie

    B) Rutherford

    C) Bohr

    D) Davisson and Germer

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  • question_answer62) In the following nuclear reaction\[_{2}H{{e}^{3}}{{+}_{z}}{{X}^{a}}{{\xrightarrow{{}}}_{z+1}}{{Y}^{a+2}}+Q\]. What is\[Q\]?

    A) Neutron

    B) Proton

    C) Positron

    D) Electron

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  • question_answer63) For the reaction\[_{1}{{H}^{2}}{{+}_{1}}{{H}^{2}}{{\xrightarrow{{}}}_{2}}H{{e}^{4}}+v+\]Energy, what is the required condition?

    A) High temperature and pressure

    B) High temperature and low pressure

    C) Low temperature and high pressure

    D) High temperature only

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  • question_answer64) Work function of photoelectric metal is\[3.13\,\,eV\]. Threshold frequency is:

    A) \[4\times {{10}^{11}}Hz\]

    B) \[5\times {{10}^{14}}Hz\]

    C) \[8\times {{10}^{15}}Hz\]

    D) \[8\times {{10}^{10}}Hz\]

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  • question_answer65) Nitro group of nitrobenzene is:

    A) \[o-\]directing

    B) \[m-\]directing

    C) \[p-\]directing

    D) \[o,\]and \[p\] directing

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  • question_answer66) In which compound the number of \[{{3}^{o}}\] carbon is maximum:

    A) 2, 5 dimethyl hexane

    B) 2, 3, 4-trimethyl pentane

    C) 2, 2, 4, 4-tetramethyl pentane

    D) 2, 2, 3-trimethyl pentane

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  • question_answer67) The \[pH\] of a solution of concentration few less than\[1\,\,N\,\,NaOH\]:

    A) between \[13\] and \[14\]

    B) between \[12\] and \[13\]

    C) between \[0\] and \[1\]

    D) between \[1\] and\[2\]

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  • question_answer68) Dichlorocarbene is:

    A) a neutral divalent species

    B) a carbonation

    C) a carbanion

    D) a free radical

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  • question_answer69) The geometry of the hybrid orbital, which contains \[20%\] \[s-\]character is:

    A) octahedral

    B) tetrahedral

    C) trigonal bipyramidal

    D) square planar

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  • question_answer70) Which test is not ideal to distinguish 2-butanol and \[1-\]propanol?

    A) Hydrogenation

    B) Iodoform test

    C) Lucas test

    D) Oxidation test

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  • question_answer71) In the reaction of \[C{{H}_{2}}=C{{H}_{2}}\] and \[HBr\] initial addition occurs of:

    A) indefinite

    B) \[{{H}^{+}}+B{{r}^{-}}\] both at one time

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

    D) \[B{{r}^{-}}\]

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  • question_answer72) The hydrocarbon formed by electrolysis of sodium propionate:

    A) \[C{{H}_{3}}CH=C{{H}_{2}}\]

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

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

    D) \[C{{H}_{3}}-C{{H}_{3}}\]

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  • question_answer73) \[0.1\,\,M\,\,C{{H}_{3}}COOH\] is \[1.3%\] ionised. The dissociation constant of it will be:

    A) \[1.69\times {{10}^{-5}}\]

    B) \[1.69\times {{10}^{-6}}\]

    C) \[1.69\times {{10}^{-4}}\]

    D) None of these

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  • question_answer74) Which of the following give dye test?

    A) Aniline

    B) Methylamine

    C) Diphenylamine

    D) Ethylamine

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  • question_answer75) When ethanamide is heated with \[NaOH\] and \[B{{r}_{2}}\] the compound formed is:

    A) \[C{{H}_{3}}CON{{H}_{2}}\]

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

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

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

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  • question_answer76) The chemical formula of potash alum is \[{{K}_{2}}S{{O}_{4}}\cdot A{{l}_{2}}{{(S{{O}_{4}})}_{3}}x{{H}_{2}}O\], here \[x\] is:

    A) \[7\]

    B) \[12\]

    C) \[6\]

    D) \[24\]

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  • question_answer77) Brass is an alloy of:

    A) \[Cu+Zn+Fe\]

    B) \[Cu+Zn+Ni\]

    C) \[Cu+Zn+Sn\]

    D) \[Cu+Zn\]

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  • question_answer78) The electronic configuration of\[F{{e}_{26}}\]is\[[Ar]\]:

    A) \[3{{d}^{8}}4{{s}^{2}}\]

    B) \[3{{d}^{7}}4{{s}^{2}}\]

    C) \[3{{d}^{6}}4{{s}^{2}}\]

    D) \[3{{d}^{5}}4{{s}^{2}}\]

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  • question_answer79) The rate constant of forward reaction is \[2.38\times {{10}^{-4}}\] and the rate constant of backward reaction is \[4.76\times {{10}^{-5}}\]. The equilibrium constant for the reaction will be:

    A) \[5\]

    B) \[5\times {{10}^{-2}}\]

    C) \[2\times {{10}^{-4}}\]

    D) none of these

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  • question_answer80) The element with electronic configuration \[1{{s}^{2}}2{{s}^{2}}2{{p}^{6}},\,\,3{{s}^{2}}3{{p}^{6}},\,\,4{{s}^{2}}\] shows same property as:

    A) \[Mo\]

    B) \[Rb\]

    C) \[Ca\]

    D) \[Sr\]

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  • question_answer81) How much volume of \[0.4\,\,M\,\,NaOH\] is required to neutralise completely \[200\,\,mL\]\[0.5\,\,M\,\,{{H}_{2}}S{{O}_{4}}\] solution?

    A) \[600\,\,mL\]

    B) \[300\,\,mL\]

    C) \[500\,\,mL\]

    D) \[200\,\,mL\]

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  • question_answer82) The formula of acetaldehyde semi car b a zone:

    A) \[C{{H}_{3}}-CH=NNHCONHC{{H}_{3}}\]

    B) \[C{{H}_{3}}-CH=N-NHCON{{H}_{2}}\]

    C) \[C{{H}_{3}}CH=N-NHCON{{H}_{2}}\]

    D) \[C{{H}_{3}}-CH=N-NHCONH-CON{{H}_{2}}\]

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  • question_answer83) One compound reacts with chloroform in presence of \[KOH\] and produces a bad smell (nause odour) compound. The compound formed is:

    A) \[C{{H}_{3}}C{{H}_{2}}N{{H}_{2}}\]

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

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

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

    View Answer play_arrow
  • question_answer84) Phenol, chloroform and caustic potash are heated. The compound formed is:

    A) salicylic acid

    B) \[p-\]hydroxy benzaldehyde

    C) \[m-\]hydroxy benzaldehyde

    D) salicylaldehyde

    View Answer play_arrow
  • question_answer85) \[A+NaOH\xrightarrow{{}}C{{H}_{3}}OH+HCOONa\]is the reaction, compound \[A\] is:

    A) \[HCN\]

    B) \[HCHO\]

    C) \[C{{H}_{3}}CN\]

    D) \[C{{H}_{3}}Cl\]

    View Answer play_arrow
  • question_answer86) The compound obtained by the reaction of acetic anhydride and ammonia is:

    A) \[C{{H}_{3}}COON{{H}_{4}}\]

    B) \[C{{H}_{3}}CN\]

    C) \[C{{H}_{3}}CONHC{{H}_{3}}\]

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

    View Answer play_arrow
  • question_answer87) Metal which does not react with aqueous solution of copper sulphate is:

    A) \[Pb\]

    B) \[Ag\]

    C) \[Zn\]

    D) \[Fe\]

    View Answer play_arrow
  • question_answer88) When aniline react with acetic anhydride the product formed is:

    A) \[p-\]aminobenzoic acid

    B) \[m-\]aminobenzoic acid

    C) acetanilide

    D) \[o-\]aminobenzoic acid

    View Answer play_arrow
  • question_answer89) \[5SO_{2}^{-}+2MnO_{4}^{-}+6{{H}^{+}}\xrightarrow{{}}5SO_{4}^{2-}\]\[+2M{{n}^{2+}}+2{{H}_{2}}O\]the oxidation number of \[Mn\] changes from:

    A) \[+14\]to\[+4\]

    B) \[+6\]to\[+2\]

    C) \[-7\]to\[-2\]

    D) \[+7\]to\[+2\]

    View Answer play_arrow
  • question_answer90) Which has highest ionisation potential?

    A) \[N\]

    B) \[O\]

    C) \[{{O}^{+}}\]

    D) \[Na\]

    View Answer play_arrow
  • question_answer91) Formic acid and acetic acid may be distinguished by the reaction with:

    A) sodium

    B) 2, 4-dinitrophenyl hydrazine

    C) litmus paper

    D) Tollen's reagent

    View Answer play_arrow
  • question_answer92) Maximum melting point is of:

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

    B) \[BaC{{l}_{2}}\]

    C) \[CaC{{l}_{2}}\]

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

    View Answer play_arrow
  • question_answer93) The process requiring the absorption of energy is:

    A) \[F\xrightarrow{{}}{{F}^{-}}\]

    B) \[Cl-C{{l}^{-}}\]

    C) \[O\xrightarrow{{}}{{O}^{2-}}\]

    D) \[H-{{H}^{-}}\]

    View Answer play_arrow
  • question_answer94) The number of coordinate bond in a molecule of\[{{H}_{2}}S{{O}_{4}}\]:

    A) \[4\]

    B) \[3\]

    C) \[2\]

    D) \[1\]

    View Answer play_arrow
  • question_answer95) Carmelite is:

    A) \[KCl\]

    B) \[Sn{{l}_{4}}\]

    C) \[Ge{{l}_{4}}\]

    D) \[Pb{{I}_{4}}\]

    View Answer play_arrow
  • question_answer96) A piece of magnesium ribbon was heated to redness in an atmosphere of nitrogen and on cooling water was added. The gas evolved was:

    A) ammonia

    B) hydrogen

    C) nitrogen

    D) oxygen

    View Answer play_arrow
  • question_answer97) Which of the following halides is least stable and doubtful existence?

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

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

    C) \[NiS{{O}_{4}}\]

    D) \[FeS{{O}_{4}}\]

    View Answer play_arrow
  • question_answer98) Lithopone is a mixture of:

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

    B) \[CaC{{l}_{2}}\]and\[C{{a}_{3}}{{F}_{2}}\]

    C) \[Ca{{C}_{2}}\]and\[C{{a}_{3}}{{N}_{2}}\]

    D) \[ZnS+BaS{{O}_{4}}\]

    View Answer play_arrow
  • question_answer99) Iodine is liberated from \[KI\] solution when treated with:

    A) \[ZnS{{O}_{4}}\]

    B) \[CuS{{O}_{4}}\]

    C) \[NiS{{O}_{4}}\]

    D) \[FeS{{O}_{4}}\]

    View Answer play_arrow
  • question_answer100) Chlorine acts as a bleaching agent only in the presence of:

    A) dry air

    B) sun light

    C) moisture

    D) pure oxygen

    View Answer play_arrow
  • question_answer101) If\[\sin x+{{\sin }^{2}}x=1\], then the value of\[{{\cos }^{12}}x+3{{\cos }^{10}}x+3{{\cos }^{8}}x+{{\cos }^{6}}x\]is equal to:

    A) \[0\]

    B) \[1\]

    C) \[-1\]

    D) \[2\]

    View Answer play_arrow
  • question_answer102) The equations\[\frac{2{{\cos }^{2}}x}{2{{\sin }^{2}}x}=\frac{{{x}^{2}}+1}{{{x}^{2}}},\,\,0\le x\le \frac{x}{2}\]has:

    A) one real solution

    B) no real solution

    C) more than one real solution

    D) none of the above

    View Answer play_arrow
  • question_answer103) If\[f(x)=\frac{2x+1}{3x-2}\],then\[fof(2)\]is equal to:

    A) \[1\]

    B) \[3\]

    C) \[4\]

    D) \[2\]

    View Answer play_arrow
  • question_answer104) Which one of the following objective function on the set of real numbers?

    A) \[2x-5\]

    B) \[|x|\]

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

    D) \[{{x}^{2}}+1\]

    View Answer play_arrow
  • question_answer105) Let the function \[f\]be defined by\[f(x)=\frac{2x+1}{1-3x},\] then\[{{f}^{-1}}(x)\]is:

    A) \[\frac{x-1}{3x+2}\]

    B) \[\frac{3x+2}{x-1}\]

    C) \[\frac{x+1}{3x-2}\]

    D) \[\frac{2x+1}{1-3x}\]

    View Answer play_arrow
  • question_answer106) If\[\sqrt{a+ib}=x+iy\], then possible value of\[\sqrt{a-ib}\]is:

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

    B) \[\sqrt{{{x}^{2}}-{{y}^{2}}}\]

    C) \[x+iy\]

    D) \[x-iy\]

    View Answer play_arrow
  • question_answer107) If\[{{i}^{2}}=-1\]. Then sum\[i+{{i}^{2}}+{{i}^{3}}+....+{{i}^{1000}}\] term is equal to:

    A) \[1\]

    B) \[-1\]

    C) \[i\]

    D) \[0\]

    View Answer play_arrow
  • question_answer108) If\[\alpha ,\,\,\beta \]are the roots of the equation\[{{x}^{2}}+2x+4=0\], then\[\frac{1}{{{\alpha }^{3}}}+\frac{1}{{{\beta }^{3}}}\]is equal to:

    A) \[-1/2\]

    B) \[1/4\]

    C) \[{{3}^{2}}\]

    D) \[1/{{3}^{2}}\]

    View Answer play_arrow
  • question_answer109) The least integer \[k\] which makes roots of the equation \[{{x}^{2}}+5x+k=0\] become imaginary, is:

    A) \[4\]

    B) \[5\]

    C) \[6\]

    D) \[\frac{25}{4}\]

    View Answer play_arrow
  • question_answer110) The number of terms of the \[AP\,\,3,\,\,7,\,\,11,\,\,15...\] to be taken so that the sum is\[210,\,\,\,\text{is}:\]

    A) \[10\]

    B) \[12\]

    C) -1

    D) 2

    View Answer play_arrow
  • question_answer111) If \[a,\,\,b,\,\,c,\] are respectively the \[pth,\,\,qth,\,\,rth\] terms of an\[AP\], then \[\left[ \begin{matrix} a & p & 1 \\ b & q & 1 \\ c & r & 1 \\ \end{matrix} \right]\] is equal to:

    A) \[1\]

    B) \[-1\]

    C) \[0\]

    D) \[pqr\]

    View Answer play_arrow
  • question_answer112) The two geometric means between the numbers \[1\] and \[64\] are:

    A) \[1\] and \[64\]

    B) \[4\] and \[16\]

    C) \[2\] and\[16\]

    D) \[8\] and \[16\]

    View Answer play_arrow
  • question_answer113) If \[n\] and \[r\] are two positive integers such that\[n\ge r\], then\[^{n}{{C}_{r-1}}{{+}^{n}}{{C}_{r}}\]is equal to:

    A) \[^{n}{{C}_{r-1}}\]

    B) \[^{n}{{C}_{r}}\]

    C) \[^{n-1}{{C}_{r}}\]

    D) \[^{n+1}{{C}_{r}}\]

    View Answer play_arrow
  • question_answer114) The number of ways in which a committee of a \[6\] members can be formed from \[8\] gentlemen and \[4\] ladies so that the committee contains atleast \[3\] ladies, is:

    A) \[252\]

    B) \[672\]

    C) \[420\]

    D) \[250\]

    View Answer play_arrow
  • question_answer115) If \[A\] and \[B\] are \[2\] square matrices of the same order, then\[{{(A-B)}^{2}}\]is:

    A) \[{{A}^{2}}-AB-BA+{{B}^{2}}\]

    B) \[{{A}^{2}}-2BA+{{B}^{2}}\]

    C) \[{{A}^{2}}-2AB+{{B}^{2}}\]

    D) \[{{A}^{2}}-{{B}^{2}}\]

    View Answer play_arrow
  • question_answer116) If \[I\] is a unit matrix of order \[10\], then determinant of \[I\] is equal to:

    A) \[10\]

    B) \[1\]

    C) \[1/10\]

    D) \[9\]

    View Answer play_arrow
  • question_answer117) If the vectors \[3\widehat{\mathbf{i}}+\lambda \widehat{\mathbf{j}}+\widehat{\mathbf{k}}\] and \[2\widehat{\mathbf{i}}-\widehat{\mathbf{j}}+8\widehat{\mathbf{k}}\] are perpendicular, then value of \[\lambda \] is:

    A) \[-14\]

    B) \[7\]

    C) \[14\]

    D) \[1/7\]

    View Answer play_arrow
  • question_answer118) The unit vector perpendicular to both \[\widehat{\mathbf{i}}-\widehat{\mathbf{j}}\] and \[\widehat{\mathbf{j}}+\widehat{\mathbf{k}}\] is:

    A) \[\widehat{\mathbf{i}}-\widehat{\mathbf{j}}+\widehat{\mathbf{k}}\]

    B) \[\widehat{\mathbf{i}}+\widehat{\mathbf{j}}+\widehat{\mathbf{k}}\]

    C) \[\frac{\widehat{\mathbf{i}}+\widehat{\mathbf{j}}+\widehat{\mathbf{k}}}{\sqrt{3}}\]

    D) \[\frac{\widehat{\mathbf{i}}+\widehat{\mathbf{j}}-\widehat{\mathbf{k}}}{\sqrt{3}}\]

    View Answer play_arrow
  • question_answer119) For any three vectors\[\overset{\to }{\mathop{\mathbf{a}}}\,,\,\,\overset{\to }{\mathop{\mathbf{b}}}\,,\,\,\overset{\to }{\mathop{\mathbf{c}}}\,\];\[\overset{\to }{\mathop{\mathbf{a}}}\,\times (\overset{\to }{\mathop{\mathbf{b}}}\,+\overset{\to }{\mathop{\mathbf{c}}}\,)+\overset{\to }{\mathop{\mathbf{b}}}\,\times (\overset{\to }{\mathop{\mathbf{c}}}\,+\overset{\to }{\mathop{\mathbf{a}}}\,)+\overset{\to }{\mathop{\mathbf{c}}}\,\times (\overset{\to }{\mathop{\mathbf{a}}}\,+\overset{\to }{\mathop{\mathbf{b}}}\,)\]is:

    A) \[\overset{\to }{\mathop{\mathbf{0}}}\,\]

    B) \[\overset{\to }{\mathop{\mathbf{a}}}\,+\overset{\to }{\mathop{\mathbf{b}}}\,+\overset{\to }{\mathop{\mathbf{c}}}\,\]

    C) \[\overset{\to }{\mathop{\mathbf{a}}}\,\cdot (\overset{\to }{\mathop{\mathbf{b}}}\,\times \overset{\to }{\mathop{\mathbf{c}}}\,)\]

    D) none of these

    View Answer play_arrow
  • question_answer120) The point moves such that the area of the triangle formed by it with the points \[(1,\,\,5)\] and \[(3,\,\,-7)\] is\[21\,\,sq\,\,unit\]The locus of the point is:

    A) \[6x+y-32=0\]

    B) \[6x-y+32=0\]

    C) \[x+6y-32=0\]

    D) \[6x+y+32=0\]

    View Answer play_arrow
  • question_answer121) The line \[\frac{x}{a}-\frac{y}{b}=1\] cuts the \[x-\]axis at \[P\]. The equation of the line through \[P\] perpendicular to the given line is:

    A) \[x+y=ab\]

    B) \[x+y=a+b\]

    C) \[ax+by={{a}^{2}}\]

    D) \[bx+ay={{b}^{2}}\]

    View Answer play_arrow
  • question_answer122) Three vertices of a parallelogram taken in order are \[(-1,\,\,-6),\,\,\,(2,\,\,-5)\] and \[(7,\,\,2)\]. The fourth vertex is:

    A) \[(1,\,\,4)\]

    B) \[(4,\,\,1)\]

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

    D) \[(4,\,\,4)\]

    View Answer play_arrow
  • question_answer123) Distance between the lines \[5x+3y-7=0\] and\[15x+9y+14=0\] is:

    A) \[\frac{35}{\sqrt{34}}\]

    B) \[\frac{1}{3\sqrt{34}}\]

    C) \[\frac{35}{3\sqrt{34}}\]

    D) \[\frac{35}{2\sqrt{34}}\]

    View Answer play_arrow
  • question_answer124) If the equation\[2{{x}^{2}}+7xy+3{{y}^{2}}-9x-7y+k=0\] represents a pair of lines, then \[k\] is equal to:

    A) \[4\]

    B) \[2\]

    C) \[1\]

    D) None of these

    View Answer play_arrow
  • question_answer125) The centre of a circle \[(2,\,\,-3)\] and the circumference is \[10\pi \]. The equation or the circle is:

    A) \[{{x}^{2}}+{{y}^{2}}+4x+6y+12=0\]

    B) \[{{x}^{2}}+{{y}^{2}}-4x+6y+12=0\]

    C) \[{{x}^{2}}+{{y}^{2}}-4x+6y-12=0\]

    D) \[{{x}^{2}}+{{y}^{2}}-4x-6y-12=0\]

    View Answer play_arrow
  • question_answer126) The equation of the parabola whose vertex is at \[(2,\,\,-1)\] and focus at \[(2,\,\,-3)\] is:

    A) \[{{x}^{2}}+4x-8y-12=0\]

    B) \[{{x}^{2}}-4x+8y+12=0\]

    C) \[{{x}^{2}}+8y=12\]

    D) \[{{x}^{2}}-4x+12=0\]

    View Answer play_arrow
  • question_answer127) The eccentricity of the conic \[9{{x}^{2}}+25{{y}^{2}}=225\] is:

    A) \[2/5\]

    B) \[4/5\]

    C) \[1/3\]

    D) \[1/5\]

    View Answer play_arrow
  • question_answer128) If\[{{\tan }^{-1}}x+{{\tan }^{-1}}y+{{\tan }^{-1}}z=\pi \], then\[x+y+z\]is equal to:

    A) \[xyz\]

    B) \[0\]

    C) \[1\]

    D) \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}\]

    View Answer play_arrow
  • question_answer129) \[\underset{x\to 0}{\mathop{\lim }}\,\frac{1-\cos mx}{1-\cos nx}\]is:

    A) \[m/n\]

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

    C) \[0\]

    D) \[n/m\]

    View Answer play_arrow
  • question_answer130) If\[x={{\sin }^{-1}}(3t-4{{t}^{3}})\]and\[y={{\cos }^{-1}}\sqrt{(1-{{t}^{2}})}\], then \[\frac{dy}{dx}\] is equal to:

    A) \[1/2\]

    B) \[2/5\]

    C) \[3/2\]

    D) \[1/3\]

    View Answer play_arrow
  • question_answer131) The second derivative of a sin31 with respect to\[a{{\cos }^{3}}t\]at\[t=\frac{\pi }{4}\]to:

    A) \[\frac{4\sqrt{2}}{3a}\]

    B) \[2\]

    C) \[\frac{1}{12a}\]

    D) None of these

    View Answer play_arrow
  • question_answer132) If\[f(x)=\left\{ \begin{matrix} \frac{{{x}^{2}}-9}{x-3}, & if\,\,x\ne 3 \\ 2x+k, & if\,\,x=3 \\ \end{matrix} \right.\]is continuous at\[x=3\], then \[k\] is equal to:

    A) \[3\]

    B) \[0\]

    C) \[-6\]

    D) \[1/6\]

    View Answer play_arrow
  • question_answer133) The function\[y=a(1-\cos x),\,\,a>0\]is maximum when \[x\] is equal to:

    A) \[\pi \]

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

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

    D) \[-\frac{\pi }{6}\]

    View Answer play_arrow
  • question_answer134) \[\int_{0}^{\pi /2}{x\,\,\sin \,\,x\,\,dx}\]is equal to:

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

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

    C) \[\pi \]

    D) \[1\]

    View Answer play_arrow
  • question_answer135) \[\int_{0}^{\pi /2}{\frac{\sin x}{\sin x+\cos x}}dx\]is equal to:

    A) \[\pi \]

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

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

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

    View Answer play_arrow
  • question_answer136) The area bounded by the parabola \[{{y}^{2}}=4ax\] and\[{{x}^{2}}=4ay\]is:

    A) \[\frac{8{{a}^{2}}}{3}sq\,\,unit\]

    B) \[\frac{16{{a}^{2}}}{3}sq\,\,unit\]

    C) \[\frac{32{{a}^{2}}}{3}sq\,\,unit\]

    D) \[\frac{64{{a}^{2}}}{3}sq\,\,unit\]

    View Answer play_arrow
  • question_answer137) The degree of differential equation \[\frac{{{d}^{2}}y}{d{{x}^{2}}}+{{\left( \frac{dy}{dx} \right)}^{3}}+6y=0\]is:

    A) \[1\]

    B) \[3\]

    C) \[2\]

    D) \[5\]

    View Answer play_arrow
  • question_answer138) The solution\[\frac{dy}{dx}+P(x)y=0\]is:

    A) \[y=c{{e}^{\int{P\,\,dx}}}\]

    B) \[x=c{{e}^{-\int{P\,\,dx}}}\]

    C) \[y=c{{e}^{-\int{P\,\,dx}}}\]

    D) None of these

    View Answer play_arrow
  • question_answer139) If\[P(A)=2/3,\,\,P(B)=1/2\]and\[P(A\cup B)=5/6\], then events \[A\] and \[B\] are:

    A) mutually, exclusive

    B) independent as well as mutually exhaustive

    C) independent

    D) dependent only on\[A\]

    View Answer play_arrow
  • question_answer140) \[\int_{-2}^{2}{|1-{{x}^{2}}|dx}\]is equal to:

    A) \[4\]

    B) \[2\]

    C) \[-2\]

    D) \[0\]

    View Answer play_arrow
  • question_answer141) \[\int_{2}^{4}{x}\sqrt{6-x}\,dx\]is equal to:

    A) \[\frac{16}{5}(3-\sqrt{2})\]

    B) \[\frac{32}{5}(3-\sqrt{2})\]

    C) \[\frac{8}{5}(3-\sqrt{2})\]

    D) \[\frac{64}{5}(3-\sqrt{2})\]

    View Answer play_arrow
  • question_answer142) \[\int_{a}^{b}{\frac{f(x)}{f(x)+f(a+b-x)}}dx\]is equal to:

    A) \[\frac{b-a}{2}\]

    B) \[\frac{a-b}{2}\]

    C) \[\frac{a}{2}\]

    D) \[\frac{b}{2}\]

    View Answer play_arrow
  • question_answer143) The maximum value of the function\[\sin x(1+\cos x)\]is:

    A) \[3\]

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

    C) \[4\]

    D) \[3\sqrt{3}\]

    View Answer play_arrow
  • question_answer144) Let\[f(x)=\frac{1}{\sqrt{18-{{x}^{2}}}}\]. The value of\[\underset{x\to 3}{\mathop{\lim }}\,\frac{f(x)-f(3)}{x-3}\]is:

    A) \[0\]

    B) \[-1/9\]

    C) \[-1/3\]

    D) \[3\sqrt{3}\]

    View Answer play_arrow
  • question_answer145) \[{{x}^{y}}\cdot {{y}^{x}}=1\], then\[\frac{dy}{dx}\]is:

    A) \[\frac{y(y+x\log y)}{x(y\log x+x)}\]

    B) \[\frac{y(x+y\log x)}{x(y+x\log y)}\]

    C) \[\frac{-y(y+x\log y)}{x(x+y\log x)}\]

    D) None of these

    View Answer play_arrow
  • question_answer146) If in \[\Delta ABC\], \[a+\tan A+b\tan B\]\[=(a+b)\tan \frac{1}{2}(A+B)\], then:

    A) \[A=B\]

    B) \[B=C\]

    C) \[C=A\]

    D) \[A=B=C\]

    View Answer play_arrow
  • question_answer147) The centre of the ellipse\[\frac{{{(x+y-2)}^{2}}}{9}+\frac{{{(x-y)}^{2}}}{16}=1\]is:

    A) \[(0,\,\,0)\]

    B) \[(1,\,\,1)\]

    C) \[(1,\,\,0)\]

    D) \[(0,\,\,1)\]

    View Answer play_arrow
  • question_answer148) The angle between the pair of lines is given by the equation\[{{x}^{2}}+2xy-{{y}^{2}}=0\]is:

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

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

    C) \[\frac{\pi }{2}\]

    D) \[0\]

    View Answer play_arrow
  • question_answer149) The term independent of\[x\]is\[{{\left( \frac{3}{2}{{x}^{2}}-\frac{1}{3x} \right)}^{9}}\], is:

    A) \[5/27\]

    B) \[7/18\]

    C) \[8/27\]

    D) \[1/24\]

    View Answer play_arrow
  • question_answer150) If\[x\]is real, then\[\frac{{{x}^{2}}-2x+4}{{{x}^{2}}+2x+4}\]takes values in the interval:

    A) \[[1/3,\,\,3]\]

    B) \[(1/3,\,\,3)\]

    C) \[(3,\,\,3)\]

    D) \[(-1/3,\,\,3)\]

    View Answer play_arrow

   



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