# Solved papers for JCECE Engineering JCECE Engineering Solved Paper-2003

### done JCECE Engineering Solved Paper-2003

• question_answer1) The internal resistance of a cell is the resistance of:

A) electrolyte used in cell

B) electrodes of the cell

C) material used in cell

D) vessel of the cell

• question_answer2) A device for generating an alternating current of d desired frequency is known as:

A) an oscillator

B) an amplifier

C) a rectifier

D) none of these

• question_answer3) The angle of minimum deviation for a thin prism with respect to air and when dipped in water will be:$\left( _{a}{{\mu }_{g}}=\frac{3}{2},\,{{\,}_{a}}{{\mu }_{w}}=\frac{4}{3} \right)$

A) $\frac{1}{4}$

B) $\frac{1}{8}$

C) $\frac{1}{3}$

D) $\frac{1}{2}$

• question_answer4) Escape velocity of a body when projected from the earth's surface is $11.2\,\,km/s$. If it is projected at an angle of ${{50}^{o}}$ from the horizontal, the escape velocity is:

A) $11.8\,\,km/s$

B) $16.5\,\,km/s$

C) $11.2\,\,km/s$

D) $14.5\,\,km/s$

• question_answer5) A diamagnetic substance is brought near a strong magnet, then it is:

A) attracted by a magnet

B) repelled by a magnet

C) repelled by north pole and attracted by south pole

D) attracted by north pole and repelled by south pole

• question_answer6) The ratio of intensities of two waves is $9:16$. If they interfere, the ratio of maximum to minimum intensity will be:

A) $4:1$

B) $1:25$

C) $1:3$

D) $49:1$

• question_answer7) The sun emits a light with maximum wavelength$510\,\,nm$ while another star emits a light with maximum wavelength of $350\,\,nm$. The ratio of surface temperature of sun and the star will be:

A) $0.69$

B) $0.46$

C) $1.45$

D) $2.1$

• question_answer8) If the equation of Motion of standing wave is$y=0.3\sin (314t-1.57x)$, then the velocity of standing wave is:

A) $400\,\,unit$

B) $350\,\,unit$

C) $209\,\,unit$

D) $200\,\,unit$

• question_answer9) For driving current of $2\,\,A$ for $6\min$ in a circuit, $1000\,\,J$ of work is to be done. The emf-of the source in the circuit is:

A) $2.03\,\,V$

B) $2.54\,\,V$

C) $1.25\,\,V$

D) $1.39\,\,V$

• question_answer10) The moment of momentum for an electron in second orbit of hydrogen atom as per Bohr's model is:

A) $\frac{h}{\pi }$

B) $2\pi h$

C) $\frac{2h}{\pi }$

D) $\frac{\pi }{h}$

• question_answer11) The latent heat of vaporisation of water is$2250\,\,J/kg$. If the work done in the process of vaporisation of $1\,\,kg$ is $168\,\,J$, then increase in internal energy will be:

A) $1904\,\,J$

B) $1984\,\,J$

C) $3202\,\,J$

D) $2082\,\,J$

• question_answer12) Huygen's wave theory of light could not explain:

A) photoelectric effect

B) interference

C) diffraction

D) polarization

• question_answer13) In a triode valve, when the plate potential is increased from $200\,\,V$ to $220\,\,V$ and-grid potential is decreased from $-0.5\,\,V$ to $-\text{ }1.3\,\,V,$ there is no change in plate current. The amplification factor of the triode is:

A) $25$

B) $14$

C) $11$

D) $73$

• question_answer14) A bar magnet of magnetic moment $220\,\,A{{m}^{2}}$ is suspended in a magnetic field of intensity$0.25\,\,N/Am$. The couple required to deflect it through ${{30}^{o}}$ is:

A) $27.5\,\,Nm$

B) $20.25\,\,Nm$

C) $47.63\,\,Nm$

D) $12\,\,Nm$

• question_answer15) A plano-convex lens has refractive index $1.5$ and radius of curvature $50\,\,cm$. What is focal length of lens?

A) $100\,\,cm$

B) $200\,\,cm$

C) $178\,\,cm$

D) $150\,\,cm$

• question_answer16) A source and an observer move away from each other, with a velocity of $20\,\,m/s$. If the apparent frequency heard by the observer is $1840\,\,Hz$, the actual frequency of the source is: (Velocity of sound in$=340\,\,m/s)$:

A) $2486\,\,Hz$

B) $2070\,\,Hz$

C) $2134\,\,Hz$

D) $1872\,\,Hz$

• question_answer17) The speed of wave in a medium is $650\,\,m/s$. If $3500$ waves are passing through a point in the medium in $1.67\,\,\min$, then its wavelength will be:

A) $16.25\,\,m$

B) $14.29\,\,m$

C) $18.57\,\,m$

D) $20.50\,\,m$

• question_answer18) The body is projected at such angle that the horizontal range is three times the greatest height. The angle of projection is:

A) ${{43}^{o}}8'$

B) ${{25}^{o}}8'$

C) ${{33}^{o}}7'$

D) ${{53}^{o}}1'$

• question_answer19) On the horizontal surface of a truck, a block of mass $1\,\,kg$ is placed $(\mu =0.6)$ and truck is moving with acceleration $5m/{{s}^{2}}$. The frictional force acting on the block will be: $(g=10\,\,m/{{s}^{2}})$

A) $6\,\,N$

B) $5.88\,\,N$

C) $7\,\,N$

D) $9\,\,N$

• question_answer20) Calculate the work done when a force$\overset{\to }{\mathop{\mathbf{F}}}\,=2\widehat{\mathbf{i}}+3\widehat{\mathbf{j}}-5\widehat{\mathbf{k}}$. units acts on a body producing a displacement $\overset{\to }{\mathop{\mathbf{s}}}\,=2\widehat{\mathbf{i}}+4\widehat{\mathbf{j}}+3\widehat{\mathbf{k}}$ units:

A) $1\,\,unit$

B) $20\,\,unit$

C) $5\,\,unit$

D) $zero$

• question_answer21) The efficiency of Carnot engine is, $50%$ and temperature of sink is $500\,\,K$. If the temperature of source is kept constant and its efficiency is to be raised to $60%$, then the required temperature of the sink will be:

A) $600\,\,K$

B) $400\,\,K$

C) $500\,\,K$

D) $100\,\,K$

• question_answer22) What happens to the internal energy of a gas during isothermal expansion?

A) Internal energy will decrease

B) Internal energy will increase

C) Internal energy will become zero

D) Internal energy will remain same

• question_answer23) $100\,\,g$ ice is mixed with $100\,\,g$ of water at ${{100}^{o}}C$. What will be the final temperature of the mixture?

A) ${{10}^{o}}C$

B) ${{27}^{o}}C$

C) ${{14}^{o}}C$

D) none of these

• question_answer24) Black hole consists of:

A) ozone layer

B) super dense planetary material

C) upper surface of atmosphere

D) none of the above

• question_answer25) Three resistors $2\,\,\Omega ,\,\,\,3\,\,\Omega$ and $4\,\,\Omega$ are connected as shown in the given diagram. The equivalent resistance will be:

A) $\frac{12}{13}$

B) $\frac{11}{10}$

C) $2$

D) $\frac{10}{11}$

• question_answer26) If an electron jumps from first orbit to third orbit of hydrogen atom it will:

A) not loose energy

B) release energy

C) absorb energy

D) not gain energy

• question_answer27) A body of mass $10\,\,kg$ moving with velocity $10\,\,m/s$ collides with a stationary body of mass$5\,\,kg$. After collision both bodies stick to each other, velocity of the joint body after collision is:

A) $\frac{3}{10}m/s$

B) $20\,\,m/s$

C) $\frac{20}{3}m/s$

D) $15\,\,m/s$

• question_answer28) If a body starts from rest and travels $110\,\,cm$ in the $9th$ second, then acceleration of the body is:

A) $0.13m/{{s}^{2}}$

B) $0.16m/{{s}^{2}}$

C) $0.18m/{{s}^{2}}$

D) $0.34m/{{s}^{2}}$

• question_answer29) It the momentum of a particle is doubled, then its de-Broglie wavelength will:

A) become four times

B) become half

C) become two times

D) remain unchanged

• question_answer30) Dimensions of torque are:

A) $[{{M}^{2}}{{L}^{2}}{{T}^{-2}}]$

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

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

D) $[M{{L}^{0}}{{T}^{-2}}]$

• question_answer31) Two vectors have magnitudes $3$ and $5$. If angle between them is ${{60}^{o}}$, then the dot product of two vectors will be:

A) $7.5$

B) $6.5$

C) $8.4$

D) $7.9$

• question_answer32) The kinetic energy of $1\,\,g$ molecule of a gas, at normal temperature and pressure is:$(R=8.321\,\,J/mol\text{-}K)$

A) $1.2\times {{10}^{2}}J$

B) $3.4\times {{10}^{3}}J$

C) $1.66\times {{10}^{4}}J$

D) $2.97\times {{10}^{4}}J$

• question_answer33) If the coefficient of cubical expansion is $x$ times of the coefficient of superficial expansion, then value of $x$ is:

A) $2.7$

B) $2$

C) $1.5$

D) $9.5$

• question_answer34) $X-$ray will not show the phenomenon of:

A) interference

B) deflection by electric field

C) diffraction

D) polarisation

• question_answer35) Bernoulli's theorem is based on:

A) conservation of mass, energy and momentum

B) conservation of mass

C) conservation of momentum

D) conservation of energy

• question_answer36) In bringing an electron towards another electron, the electrostatic potential energy of the system:

A) decreases

B) increases

C) remains same

D) becomes zero

• question_answer37) The half-life of radium is $1600\,\,yr$. What is the mean life and disintegration constant of radium?

A) $2309\,\,yr,\,\,\frac{1}{2309}/yr$

B) $3309\,\,yr,\,\,\frac{1}{3309}/yr$

C) $1309\,\,yr,\,\,\frac{1}{1309}/yr$

D) none of the above

• question_answer38) Energy obtained when $1\,\,mg$ mass is completely converted in to energy will be:

A) $9\times {{10}^{13}}J$

B) $3\times {{10}^{8}}J$

C) $3\times {{10}^{15}}J$

D) $9\times {{10}^{15}}J$

• question_answer39) A ray of light is incident on a surface of a plate of glass of refractive index $1.5$ at polarising angle. The angle of refraction of the ray will be:

A) ${{53.7}^{o}}$

B) ${{43.7}^{o}}$

C) ${{33.7}^{o}}$

D) none of these

• question_answer40) A closed organ pipe and an open organ pipe are tuned to the same fundamental frequency. The ratio of their lengths is:

A) $1:2$

B) $4:1$

C) $1:4$

D) $2:1$

• question_answer41) A particle is moving along a circular path of radius $5\,\,m$ with uniform speed $5\,\,m/s$. What will be the average acceleration when the particle completes half revolution?

A) $\frac{10}{\pi }m/{{s}^{2}}$

B) $10\,\,m/{{s}^{2}}$

C) $10\pi \,\,m/{{s}^{2}}$

D) $Zero$

• question_answer42) A body of mass $m$ is attached between two springs of force constants ${{k}_{1}}$ and ${{k}_{2}}$ as Shown in figure. The other ends of the springs are fixed to firm supports. The frequency of the oscillation is:

A) $n=\frac{1}{2\pi }\sqrt{\frac{{{k}_{1}}-{{k}_{2}}}{m}}$

B) $n=\frac{1}{2\pi }\sqrt{\frac{{{k}_{1}}{{k}_{2}}}{m}}$

C) $n=\frac{1}{2\pi }\sqrt{\frac{{{k}_{1}}+{{k}_{2}}}{m}}$

D) none of the above

• question_answer43) In a $p-$type semicoriductor, germanium is doped with:

A) boron

B) gallium

C) aluminium

D) all of these

• question_answer44) In a full wave rectifier circuit operating from $50\,\,Hz$ mains frequency, what is the fundamental frequency in the ripple?

A) $50\,\,Hz$

B) $100\,\,Hz$

C) $25\,\,Hz$

D) $70\,\,Hz$

• question_answer45) An ideal gas at ${{27}^{o}}C$ is compressed adiabatically to $\frac{8}{27}$ of its original volume. The rise in temperature will be$\left( \gamma =\frac{5}{3} \right)$.

A) ${{480}^{o}}C$

B) ${{275}^{o}}C$

C) ${{450}^{o}}C$

D) ${{375}^{o}}C$

• question_answer46) When you make ice cubes, entropy of water:

A) does not change

B) increases

C) decreases

D) may either increase or decrease depending on the process used

• question_answer47) The focal length of the objective lens and eye-piece of an astronomical telescope are $2\,\,m$ and$0.05\,\,m$. Find the length of the telescope.

A) $2.05\,\,m$

B) $1.16\,\,m$

C) $1.05\,\,m$

D) $2.9\,\,m$

• question_answer48) Two identical batteries, each of emf $2\,\,V$ and internal resistance $1\Omega$ pass a current through external, resistance$R=0.5\Omega$. The maximum power that can be developed across $R$ using these batteries is:

A) $3.2\,\,W$

B) $8.2\,\,W$

C) $4\,\,W$

D) $2\,\,W$

• question_answer49) At what height from the earth's surface, the acceleration due to gravity will be half the value of $g$ at surface? $(R=6400\,\,km)$

A) $6400\,\,km$

B) $8200\,\,km$

C) $4800\,\,km$

D) $1600\,\,km$

• question_answer50) In a semiconducting material the motilities of electrons and holes are ${{\mu }_{e}}$ and ${{\mu }_{h}}$ respectively which of the following is true?

A) ${{\mu }_{e}}>{{\mu }_{h}}$

B) ${{\mu }_{e}}<{{\mu }_{h}}$

C) ${{\mu }_{e}}={{\mu }_{h}}$

D) ${{\mu }_{e}}<0,\,\,{{\mu }_{h}}>0$

• question_answer51) Tyndall effect is shown by:

A) solution

B) precipitate

C) sol

D) none of these

• question_answer52) In reaction,$MnO_{4}^{-}+{{H}^{+}}+{{C}_{2}}O_{4}^{2-}\xrightarrow{{}}M{{n}^{2+}}$$+{{H}_{2}}O+C{{O}_{2}}$What is happening?

A) Reduction of$Mn$

B) Reduction of${{C}_{2}}O_{4}^{2-}$

C) Oxidation of$Mn$

D) None of these

• question_answer53) In which of the following ionic bond is present?

A) $B{{F}_{3}}$

B) $CC{{l}_{4}}$

C) $HCl$

D) $BaC{{l}_{2}}$

• question_answer54) Deficiency of vitamin $E$ causes:

A) scurvy

B) beri-beri

C) sterility

D) xerophthalmia

• question_answer55) The reaction of Lucas reagent is fast with:

A) $C{{H}_{3}}C{{H}_{2}}OH$

B) ${{(C{{H}_{3}})}_{3}}COH$

C) ${{(C{{H}_{3}})}_{2}}CHOH$

D) $C{{H}_{3}}C{{H}_{2}}C{{H}_{2}}OH$

• question_answer56) $IUPAC$ name of the compound is: $H-\overset{\begin{smallmatrix} O \\ || \end{smallmatrix}}{\mathop{C}}\,-C{{H}_{2}}-C{{H}_{2}}-COOH$

A) 3-oxo-butanoic acid

B) 4-oxo-propanoic acid

C) 3-formyl-propanoic acid

D) none of the above

A) alkaline $CuS{{O}_{4}}$ solution

B) ammoniacal cuproxide solution

C) aqueous solution of sodium cupritartarate

D) ammoniacal $AgN{{O}_{3}}$ solution

A) $MgS{{O}_{4}}\cdot 2{{H}_{2}}O$

B) $BaS{{O}_{4}}\cdot 2{{H}_{2}}O$

C) $MgS{{O}_{4}}\cdot 7{{H}_{2}}O$

D) $CaS{{O}_{4}}\cdot 2{{H}_{2}}O$

• question_answer59) Which of the following carbonate decompose most easily on heating?

A) $R{{b}_{2}}C{{O}_{3}}$

B) ${{K}_{2}}C{{O}_{3}}$

C) $N{{a}_{2}}C{{O}_{3}}$

D) $MgC{{O}_{3}}$

• question_answer60) In an isothermal expansion of an ideal gas:

A) $W=0$

B) $\Delta E=0$

C) $q=0$

D) $\Delta V=0$

• question_answer61) The degree of hydrolysis of $0.01\,\,M\,\,N{{H}_{4}}Cl$ is:$({{K}_{h}}=2.5\times {{10}^{-9}})$

A) $5\times {{10}^{-5}}$

B) $5\times {{10}^{-4}}$

C) $5\times {{10}^{-3}}$

D) $5\times {{10}^{-7}}$

• question_answer62) The number of gram equivalent of ${{H}_{2}}S{{O}_{4}}$ in $1000\,\,mL\,\,3M$ solution, is:

A) $3$

B) $6$

C) $4$

D) $1.5$

A) ${{I}^{128}}$

B) $C{{o}^{60}}$

C) $C{{o}^{59}}$

D) ${{p}^{32}}$

• question_answer64) The expression of angular momentum of an electron in a Bohr's orbit is:

A) $\frac{n\,\,h}{3\,\,\pi }$

B) $\frac{n\,\,h}{2\,\,\pi }$

C) $\frac{h}{4\pi }$

D) $\sqrt{l(l+1)}\cdot \frac{h}{2\pi }$

• question_answer65) Which of the following is called Hofmann's bromamide reaction?

A) $C{{H}_{3}}CHN+2{{H}_{2}}O\xrightarrow{{}}C{{H}_{3}}COO+N{{H}_{3}}$

B) $C{{H}_{3}}CN+4H\xrightarrow{Na/ErOH}C{{H}_{3}}C{{H}_{2}}N{{H}_{2}}$

C) $C{{H}_{3}}CON{{H}_{2}}\xrightarrow{B{{r}_{2}}/NaOH}C{{H}_{3}}N{{H}_{2}}$

D) $C{{H}_{3}}COCl+C{{H}_{3}}OH\xrightarrow{{}}$$C{{H}_{3}}COOC{{H}_{3}}+HCl$

• question_answer66) Which one among the following contains a phenolic $-OH$ group?

A) Oxalic acid

B) Formic acid

C) Picric acid

D) Citric acid

• question_answer67) In the reaction, product $'X'$ is: $C{{H}_{3}}-C\equiv CH+{{H}_{2}}O\xrightarrow{{{H}^{+}}/H{{g}^{2+}}}X$

A) $C{{H}_{3}}C{{H}_{2}}CHO$

B) $C{{H}_{3}}C{{H}_{2}}COOH$

C) $C{{H}_{3}}-C(OH)=CHOH$

D) $C{{H}_{3}}COC{{H}_{3}}$

• question_answer68) Which is an amphoteric oxide?

A) $MgO$

B) ${{K}_{2}}O$

C) $A{{l}_{2}}{{O}_{3}}$

D) $CuO$

• question_answer69) The oxidation number of $S$ in${{H}_{2}}{{S}_{2}}{{O}_{8}}$ is:

A) $+6$

B) $-6$

C) $+4$

D) $+8$

• question_answer70) Bleaching powder is obtained by treating chlorine with:

A) $CaC{{O}_{3}}$

B) $Ca{{(OH)}_{2}}$

C) $CaO$

D) none of these

• question_answer71) For reaction,$PC{{l}_{3}}(g)+C{{l}_{2}}(g)PC{{l}_{5}}(g)$the value of${{K}_{c}}$at${{250}^{o}}C$is$26$. At the same temperature, the value of ${{K}_{p}}$ is:

A) $0.46$

B) $0.61$

C) $0.95$

D) $0.73$

• question_answer72) The volume of a gas is reduced to $1.0\,\,L$ at ${{25}^{o}}C$ and $1\,\,atm$ pressure. Its pressure at ${{35}^{o}}C$ would be:

A) $0.96\,\,atm$

B) $1.03\,\,atm$

C) $2.04\,\,atm$

D) $3.08\,\,atm$

• question_answer73) The strongest acid among the following is:

A) $C{{H}_{3}}COOH$

B) $C{{H}_{2}}ClCOOH$

C) $C{{H}_{2}}FCOOH$

D) $C{{H}_{3}}C{{H}_{2}}COOH$

• question_answer74) The compressibility factor for an ideal gas is:

A) $<1$

B) $=1$

C) $>1$

D) always$2$

• question_answer75) The standard reduction potential of$L{{i}^{+}},\,B{{a}^{2+}},\,\,N{{a}^{+}}$and$M{{g}^{2+}}$are$-3.05,\,\,-2.73,$$-2.71$ and $-2.37$ volts respectively. Which one is the strongest reducing agent?

A) $Li$

B) $Na$

C) $Mg$

D) $Ba$

• question_answer76) The unit of rate constant for 1st order reaction is:

A) $mol\,\,{{L}^{-1}}{{s}^{-1}}$

B) $mo{{l}^{-1}}L{{s}^{-1}}$

C) ${{s}^{-1}}$

D) $mo{{l}^{2}}{{L}^{-2}}{{s}^{-1}}$

• question_answer77) In which of the following, the dipole moment is zero?

A) ${{H}_{2}}{{O}_{2}}$

B) $C{{O}_{2}}$

C) $S{{O}_{2}}$

D) $N{{H}_{3}}$

• question_answer78) The bond order of$O_{2}^{+}$is:

A) $2$

B) $2.5$

C) $1.5$

D) $0.5$

• question_answer79) Addition of $HgC{{l}_{2}}$ to $SnC{{l}_{2}}$ gives a black colour due to:

A) oxidation of$Sn$

B) reduction of$HgC{{l}_{2}}$

C) formation of amalgam

D) oxidation of$Hg$

• question_answer80) Which one of the following is a trihydric alcohol containing only secondary hydroxyl group?

A) $C{{H}_{3}}-\underset{\begin{smallmatrix} | \\ OH \end{smallmatrix}}{\overset{\begin{smallmatrix} C{{H}_{3}} \\ | \end{smallmatrix}}{\mathop{C}}}\,-\underset{\begin{smallmatrix} | \\ OH \end{smallmatrix}}{\mathop{C}}\,H-C{{H}_{2}}OH$

B) $\underset{\begin{smallmatrix} | \\ OH \end{smallmatrix}}{\mathop{C}}\,{{H}_{2}}-\underset{\begin{smallmatrix} | \\ OH \end{smallmatrix}}{\mathop{C}}\,H-\underset{\begin{smallmatrix} | \\ OH \end{smallmatrix}}{\mathop{C}}\,{{H}_{2}}$

C) $C{{H}_{3}}-\underset{\begin{smallmatrix} | \\ OH \end{smallmatrix}}{\mathop{C}}\,H-\underset{\begin{smallmatrix} | \\ OH \end{smallmatrix}}{\mathop{C}}\,H-\underset{\begin{smallmatrix} | \\ OH \end{smallmatrix}}{\mathop{C}}\,H-C{{H}_{3}}$

D) None of the above

• question_answer81) How, many sigma and it-bonds are there in the following compound? $C{{H}_{2}}=CH-C\equiv C-\overset{\begin{smallmatrix} C{{H}_{3}} \\ | \end{smallmatrix}}{\mathop{C}}\,=C{{H}_{2}}$

A) $11\sigma ,\,\,4\pi$

B) $12\sigma ,\,\,3\pi$

C) $14\sigma ,\,\,4\pi$

D) $15\sigma ,\,\,4\pi$

• question_answer82) In the nitration of benzene, the reactive species is:

A) $N{{O}_{2}}$

B) $NO_{2}^{+}$

C) $NO_{2}^{-}$

D) $N{{O}^{-}}$

• question_answer83) Reaction of phenol with$CC{{l}_{4}}$and$NaOH$, followed by hydrolysis is likely to give:

A)

B)

C)

D)

• question_answer84) In the reaction, $_{92}{{U}^{238}}{{\xrightarrow{{}}}_{82}}P{{b}^{206}}$, the number of $\alpha$ and $\beta -$particles emitted are:

A) $7\alpha ,\,\,5\beta$

B) $6\alpha ,\,\,4\beta$

C) $4\alpha ,\,\,3\beta$

D) $8\alpha ,\,\,6\beta$

• question_answer85) Which is the correct Gibb's Helmholtz equation?

A) $\Delta H=\Delta G=T\cdot \Delta S$

B) $\Delta S=\frac{1}{T}[\Delta G-\Delta H]$

C) $\Delta S=\frac{1}{T}[\Delta H-\Delta G]$

D) $-\Delta G=\Delta H-T\cdot \Delta S$

A) $8-10%$ acetic acid

B) $6-10%$ ethyl alcohol'

C) glacial acetic acid

D) $10%$ formic acid

• question_answer87) Decreasing order of electron affinity of halogens is:

A) $Cl>Br>F>I$

B) $Cl>F>Br>I$

C) $Br>Cl>F>I$

D) $F>Cl>Br>I$

• question_answer88) Which of the following is an acidic salt?

A) $N{{a}_{2}}S{{O}_{4}}$

B) $Pb(OH)Cl$

C) $BaC{{l}_{2}}$

D) $N{{a}_{2}}HP{{O}_{4}}$

• question_answer89) Which one is the Lewis acid?

A) ${{H}_{2}}O$

B) $AlC{{l}_{3}}$

C) $RN{{H}_{2}}$

D) $N{{H}_{3}}$

• question_answer90) $720\,\,g$ water contain the number of moles:

A) $2$

B) $190$

C) $40$

D) $55$

• question_answer91) $2HCHO\xrightarrow{50%NaOH}C{{H}_{3}}OH+HCOONa$ This reaction is called:

A) aldol condensation

B) Tischenko reaction

C) Cannizaro reaction

D) Reimer Tiemann reaction

• question_answer92) The geometry of the molecule having $s$ and $p-$characters equal to $25%$ and $75%$ respectively, is:

A) trigonal

B) linear

C) tetrahedral

D) octahedral

A) $1{{s}^{2}},\,\,2{{s}^{2}}2{{p}^{2}},\,\,3{{s}^{2}}$

B) $1{{s}^{2}},\,\,2{{s}^{2}}$

C) $1{{s}^{2}},\,\,2{{s}^{2}}2{{p}^{6}}$

D) None of these

• question_answer94) The solubility product of $PbB{{r}_{2}}$ is $10.8\times {{10}^{-5}}$. It, is $70%$ dissociated in saturated solution. The solubility of salt is:

A) $4.18\times {{10}^{-2}}$

B) $6.76\times {{10}^{-3}}$

C) $3.4\times {{10}^{-4}}$

D) $5.44\times {{10}^{-2}}$

• question_answer95) The latent heat of vaporisation of water is $540\,\,cal\,\,{{g}^{-1}}$ at ${{100}^{o}}C$. What will be the entropy increase when one mole of water is evaporated at${{100}^{o}}C?$

A) $28\,\,cal\,\,{{K}^{-1}}mo{{l}^{-1}}$

B) $26\,\,cal\,\,{{K}^{-1}}mo{{l}^{-1}}$

C) $540\,\,cal\,\,{{K}^{-1}}mo{{l}^{-1}}$

D) $1.82\,\,cal\,\,{{K}^{-1}}mo{{l}^{-1}}$

• question_answer96) The brown ring in the test of nitrate is formed due to:

A) ${{[Fe{{({{H}_{2}}O)}_{5}}N{{O}_{2}}]}^{2+}}$

B) $Fe{{(N{{O}_{3}})}_{3}}$

C) ${{[Fe{{({{H}_{2}}O)}_{5}}NO]}^{2+}}$

D) ${{[Fe({{H}_{2}}O){{(NO)}_{5}}]}^{2+}}$

• question_answer97) The corrosive sublimate is :

A) $Hg$

B) $H{{g}_{2}}O$

C) $H{{g}_{2}}C{{l}_{2}}$

D) $HgC{{l}_{2}}$

• question_answer98) The half-life of radium is$1580\,\,yr$. Its average life is:

A) $2.275\times {{10}^{3}}yr$

B) $3.735\times {{10}^{2}}yr$

C) $1.62\times {{10}^{3}}yr$

D) $7.28\times {{10}^{2}}yr$

• question_answer99) Cobalt is present in:

A) vitamin${{B}_{12}}$

B) vitamin${{B}_{6}}$

C) vitamin${{B}_{2}}$

D) vitamin${{B}_{1}}$

A) nylon$-6$

B) Dacron

C) nylon$-66$

D) bakelite

• question_answer101) If $z=x+iy$, then the area of a triangle whose vertices are points $z,\,\,iz$ and $z+iz$ is:

A) $2|z{{|}^{2}}$

B) $\frac{1}{2}|z{{|}^{2}}$

C) $|z{{|}^{2}}$

D) $\frac{3}{2}|z{{|}^{2}}$

• question_answer102) If the-complex number ${{z}_{1}},\,\,{{z}_{2}}$ and ${{z}_{3}}$ represent the vertices of an equilateral triangle such that $|{{z}_{1}}|=|{{z}_{2}}|=|{{z}_{3}}|$, then ${{z}_{1}}+{{z}_{2}}+{{z}_{3}}$ is equal to:

A) $0$

B) $1$

C) $-1$

D) none of these

• question_answer103) If${{i}^{2}}=-1$, then the value of$\sum\limits_{n=1}^{200}{{{i}^{n}}}$is:

A) $50$

B) $-50$

C) $0$

D) $100$

• question_answer104) The sum to infinity of the series$2+\frac{1}{2}+\frac{1}{3}+\frac{1}{{{2}^{2}}}+\frac{1}{{{3}^{2}}}+\frac{1}{{{2}^{3}}}+\frac{1}{{{3}^{3}}}+...$

A) $3$

B) $4$

C) $\frac{7}{2}$

D) $\frac{9}{2}$

• question_answer105) If$x>1,\,\,y>1,\,\,z>1$are in$GP$, then$\frac{1}{1+\log x},\,\,\frac{1}{1+\log y},\,\,\frac{1}{1+\log z}$are in:

A) $AP$

B) $HP$

C) $GP$

D) none of these

• question_answer106) If${{x}^{2}}-3x+2$be a factor of${{x}^{4}}-p{{x}^{2}}+q$, then $(p,\,\,q)$is equal to:

A) $(3,\,\,4)$

B) $(4,\,\,5)$

C) $(4,\,\,3)$

D) $(5,\,\,4)$

• question_answer107) If$a{{x}^{2}}+bx+c=0$and$b{{x}^{2}}+cx+a=0$, then a common root and$a\ne 0$, then$\frac{{{a}^{3}}+{{b}^{3}}+{{c}^{3}}}{abc}$is equal to:

A) $1$

B) $2$

C) $3$

D) $4$

• question_answer108) If$^{15}{{C}_{3r}}{{=}^{15}}{{C}_{r+3}}$, then the value of$r$is:

A) $3$

B) $4$

C) $5$

D) $8$

• question_answer109) The number of divisors of $9600$ including $1$ and $9600$ are:

A) $60$

B) $58$

C) $48$

D) $46$

• question_answer110) If${{a}_{n}}=\sum\limits_{r=0}^{n}{\frac{1}{^{n}{{C}_{r}}}}$, then$\sum\limits_{r=0}^{n}{\frac{r}{^{n}{{C}_{r}}}}$is equal to:

A) $(n-1){{a}_{n}}$

B) $n{{a}_{n}}$

C) $\frac{1}{2}n{{a}_{n}}$

D) none of these

• question_answer111) 6th term in expansion of${{\left( 2{{x}^{2}}-\frac{1}{3{{x}^{2}}} \right)}^{10}}$is:

A) $\frac{4580}{17}$

B) $-\frac{896}{27}$

C) $\frac{5580}{17}$

D) none of these

• question_answer112) In the expansion of${{(1+x)}^{m}}{{(1-x)}^{n}}$, the coefficient of $x$ and${{x}^{2}}$are $3$ and $-6$ respectively, then $m$ is equal to:

A) $6$

B) $9$

C) $12$

D) $24$

• question_answer113) $(1+3){{\log }_{e}}3+\frac{1+{{3}^{2}}}{2!}{{({{\log }_{e}}3)}^{2}}$$+\frac{1+{{3}^{3}}}{3!}{{({{\log }_{e}}3)}^{3}}+...\infty$is equal to:

A) $28$

B) $30$

C) $25$

D) $0$

• question_answer114) The sum of$\frac{1}{2}+\frac{1}{3}+\frac{1}{{{2}^{3}}}+\frac{1}{5}\cdot \frac{1}{{{2}^{5}}}+...\infty$is:

A) ${{\log }_{e}}\sqrt{\frac{3}{2}}$

B) ${{\log }_{e}}\sqrt{3}$

C) ${{\log }_{e}}\sqrt{\frac{7}{2}}$

D) ${{\log }_{e}}3$

• question_answer115) $\left| \begin{matrix} 1 & a & {{a}^{2}}-bc \\ 1 & b & {{b}^{2}}-ac \\ 1 & c & {{c}^{2}}-ac \\ \end{matrix} \right|$is equal to:

A) $0$

B) ${{a}^{3}}+{{b}^{3}}+{{c}^{3}}-3abc$

C) $3abc$

D) ${{(a+b+c)}^{3}}$

• question_answer116) $x+ky-z=0$,$3x-ky-z=0$and$x-3y+z=0$ has non-zero solution for $k$ is equal to:

A) $-1$

B) $0$

C) $1$

D) $2$

• question_answer117) If$A=\left| \begin{matrix} 1 & -2 & 3 \\ 0 & -1 & 4 \\ -2 & 2 & 1 \\ \end{matrix} \right|$, then${{(A')}^{-1}}$ is equal to:

A) $\left[ \begin{matrix} -9 & -8 & -2 \\ 8 & 7 & 2 \\ -5 & -4 & -1 \\ \end{matrix} \right]$

B) $\left[ \begin{matrix} 1 & -1 & -2 \\ -2 & -1 & 2 \\ 3 & 4 & 1 \\ \end{matrix} \right]$

C) $\left[ \begin{matrix} -9 & 8 & 5 \\ -8 & 7 & -4 \\ 2 & 2 & -1 \\ \end{matrix} \right]$

D) $\left[ \begin{matrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \\ \end{matrix} \right]$

• question_answer118) Inverse matrix of$\left[ \begin{matrix} 4 & 7 \\ 1 & 2 \\ \end{matrix} \right]$is equal to:

A) $\left[ \begin{matrix} 2 & -7 \\ -1 & 4 \\ \end{matrix} \right]$

B) $\left[ \begin{matrix} 2 & -1 \\ -7 & 4 \\ \end{matrix} \right]$

C) $\left[ \begin{matrix} -2 & 7 \\ 1 & -4 \\ \end{matrix} \right]$

D) $\left[ \begin{matrix} -2 & 1 \\ 7 & -4 \\ \end{matrix} \right]$

• question_answer119) If $A$ lies in the second quadrant and$3\tan A+4=0$, then value of$2\cot A-5\cos A+\sin A$is equal to:

A) $-53/10$

B) $-7/10$

C) $7/10$

D) $23/10$

• question_answer120) If$\sin \theta +\cos \theta =1$, then the general value of$\theta$is:

A) $2n\pi$

B) $n\pi +{{(-1)}^{n}}\frac{\pi }{4}-\frac{\pi }{4}$

C) $2n\pi +\frac{\pi }{2}$

D) none of these

• question_answer121) $\cos \left[ 2{{\cos }^{-1}}\frac{1}{5}+{{\sin }^{-1}}\frac{1}{5} \right]$is equal to:

A) $\frac{2\sqrt{6}}{5}$

B) $\frac{-2\sqrt{6}}{5}$

C) $\frac{1}{5}$

D) $\frac{-1}{5}$

• question_answer122) From a roof of a $15\,\,m$ high house the angle of elevation of a point located $15\,\,m$ distant to the base of the house is:

A) ${{45}^{o}}$

B) ${{30}^{o}}$

C) ${{60}^{o}}$

D) ${{90}^{o}}$

• question_answer123) If $A$ and $B$ are two fixed point and $P$ is a variable point such that$PA+PB=4$, then the locus of $P$ is a/an:

A) parabola

B) ellipse

C) hyperbola

D) none of these

• question_answer124) A line passes through $(2,\,\,2)$ and is perpendicular to the line $3x+y=3$, its $y-$intercept is:

A) $1/3$

B) $2/3$

C) $1$

D) $4/3$

• question_answer125) The angle between the pair of straight lines ${{x}^{2}}-{{y}^{2}}-2xy-1=0$is :

A) ${{90}^{o}}$

B) ${{60}^{o}}$

C) ${{75}^{o}}$

D) ${{36}^{o}}$

• question_answer126) The point of intersection of the line $4x-3y-10=0$ and the circle ${{x}^{2}}+{{y}^{2}}-2x+4y-20=0$ are:

A) $(-2,\,\,-6),\,\,(4,\,\,2)$

B) $(2,\,\,6),\,\,(-4,\,\,-2)$

C) $(-2,\,\,6),\,\,(-4,\,\,2)$

D) none of the above

• question_answer127) The focus of the parabola${{y}^{2}}=4y-4x$is:

A) $(0,\,\,2)$

B) $(1,\,\,2)$

C) $(2,\,\,0)$

D) $(2,\,\,1)$

• question_answer128) The eccentricity of the ellipse$4{{x}^{2}}+9{{y}^{2}}+8x+36y+4=0$is:

A) $5/6$

B) $3/5$

C) $\sqrt{2}/3$

D) $\sqrt{5}/3$

• question_answer129) The angle of intersection of the curves${{y}^{2}}=2x/\pi$and$y=\sin x$is:

A) ${{\cot }^{-1}}(-1/\pi )$

B) ${{\cot }^{-1}}\pi$

C) ${{\tan }^{-1}}(-\pi )$

D) ${{\cot }^{-1}}\left( \frac{1}{\pi } \right)$

• question_answer130) The projection of any line on coordinate axes be respectively $3,\,\,\,4,\,\,\,5,$ then its length is:

A) $12$

B) $50$

C) $5\sqrt{2}$

D) none of these

• question_answer131) If the direction ratios of a line are $1,\,\,-3,\,\,2,$ then the direction cosines of the line are :

A) $\frac{1}{\sqrt{14}},\,\,\frac{-3}{\sqrt{14}},\,\,\frac{2}{\sqrt{14}}$

B) $\frac{1}{\sqrt{14}},\,\,\frac{2}{\sqrt{14}},\,\,\frac{3}{\sqrt{14}}$

C) $\frac{-1}{\sqrt{14}},\,\,\frac{3}{\sqrt{14}},\,\frac{-2}{\sqrt{14}}$

D) $\frac{-1}{\sqrt{14}},\,\,\frac{-2}{\sqrt{14}},\,\,\frac{-3}{\sqrt{14}}$

• question_answer132) The area of triangle whose vertices are$A(1,\,\,-1,\,\,2),\,\,\,B(2,\,\,1,\,\,-1)$and$C(3,\,\,-1,\,\,2)$is:

A) $13\,\,sq\,\,unit$

B) $\sqrt{13}\,\,sq\,\,unit$

C) $56\,\,sq\,\,unit$

D) $\sqrt{6}\,\,sq\,\,unit$

• question_answer133) $|(\overset{\to }{\mathop{\mathbf{a}}}\,\times \overset{\to }{\mathop{\mathbf{b}}}\,)\cdot \overset{\to }{\mathop{\mathbf{c}}}\,|=|\overset{\to }{\mathop{\mathbf{a}}}\,||\overset{\to }{\mathop{\mathbf{b}}}\,||\overset{\to }{\mathop{\mathbf{c}}}\,|$if:

A) $\overset{\to }{\mathop{\mathbf{a}}}\,\cdot \overset{\to }{\mathop{\mathbf{b}}}\,=\overset{\to }{\mathop{\mathbf{b}}}\,\cdot \overset{\to }{\mathop{\mathbf{c}}}\,=0$

B) $\overset{\to }{\mathop{\mathbf{b}}}\,\cdot \overset{\to }{\mathop{\mathbf{c}}}\,=\overset{\to }{\mathop{\mathbf{c}}}\,\cdot \overset{\to }{\mathop{\mathbf{a}}}\,=0$

C) $\overset{\to }{\mathop{\mathbf{c}}}\,\cdot \overset{\to }{\mathop{\mathbf{a}}}\,=\overset{\to }{\mathop{\mathbf{a}}}\,\cdot \overset{\to }{\mathop{\mathbf{b}}}\,=0$

D) $\overset{\to }{\mathop{\mathbf{a}}}\,\cdot \overset{\to }{\mathop{\mathbf{b}}}\,=\overset{\to }{\mathop{\mathbf{b}}}\,\cdot \overset{\to }{\mathop{\mathbf{c}}}\,=\overset{\to }{\mathop{\mathbf{c}}}\,\cdot \overset{\to }{\mathop{\mathbf{a}}}\,=0$

• question_answer134) The angle between the vectors $(2\widehat{\mathbf{i}}+6\widehat{\mathbf{j}}+3\widehat{\mathbf{k}})$ and$(12\widehat{\mathbf{i}}-4\widehat{\mathbf{j}}+3\widehat{\mathbf{k}})$is:

A) ${{\cos }^{-1}}\left( \frac{1}{10} \right)$

B) ${{\cos }^{-1}}\left( \frac{9}{11} \right)$

C) ${{\cos }^{-1}}\left( \frac{9}{91} \right)$

D) ${{\cos }^{-1}}\left( \frac{1}{9} \right)$

• question_answer135) Domain of the function$\sin \log \left( \frac{\sqrt{4-{{x}^{2}}}}{1-x} \right)$is:

A) $[-2,\,\,1]$

B) $(-2,\,\,1)$

C) $[-2,\,\,1)$

D) $(-2,\,\,1]$

• question_answer136) If$f(9)=9,\,\,f'(9)=4$and$\underset{x\to 9}{\mathop{\lim }}\,\frac{f(x)-9}{x-9}=4$then $\underset{x\to 9}{\mathop{\lim }}\,\frac{\sqrt{f(x)}-3}{\sqrt{x}-3}$is equal to:

A) $2$

B) $4$

C) $-2$

D) $-4$

• question_answer137) Let $f(x)$ be defined for all $x>0$ and be continuous, let $f(x)$ satisfy$f\left( \frac{x}{y} \right)=f(x)-f(y)$for all $x,\,\,y,$ then:

A) $f(x)=\log x$

B) $f(x)$is bounded

C) $f\left( \frac{1}{2} \right)\to 0$as$x\to 0$

D) $x\,\,f(x)\to 1$as$x\to 0$

• question_answer138) The domain of the function$y=\frac{1}{\sqrt{|x|-x}}$is:

A) $(-\infty ,\,\,0)$

B) $(+\infty ,\,\,0)$

C) $(-\infty ,\,\,-1)$

D) $(-\infty ,\,\,\infty )$

• question_answer139) Differential coefficient of ${{\sin }^{-1}}\frac{1-x}{1+x}$ with respect to$\sqrt{x}$is:

A) $\frac{1}{2\sqrt{x}}$

B) $\frac{\sqrt{x}}{\sqrt{1-x}}$

C) $1$

D) none of these

• question_answer140) The number that exceeds its square by the greatest number is:

A) $-1$

B) $0$

C) $\frac{1}{2}$

D) $1$

• question_answer141) $\int{\frac{{{\sin }^{8}}x-{{\cos }^{8}}x}{1-2{{\sin }^{2}}x{{\cos }^{2}}x}dx}$is equal to:

A) $\sin 2x+c$

B) $-\frac{1}{2}\sin 2x+c$

C) $\frac{1}{2}\sin 2x+c$

D) $-\sin 2x+c$

• question_answer142) If$f(x)=A\sin \left( \frac{\pi x}{2} \right)+B,\,\,\,f'\left( \frac{1}{2} \right)=\sqrt{2}$and$\int_{0}^{1}{f(x)}dx=\frac{2A}{\pi }$, then the constants $A$ and $B$ are respectively:

A) $\frac{\pi }{2}$and$\frac{\pi }{2}$

B) $\frac{2}{\pi }$and$\frac{3}{\pi }$

C) $\frac{4}{\pi }$and$0$

D) $0$and$\frac{-4}{\pi }$

• question_answer143) Let$f(x)=x-[x]$for all real number, where$[x]$is the integral part of$x$, then$\int_{-1}^{1}{f(x)}dx$is equal to:

A) $1$

B) $2$

C) $0$

D) $1/2$

• question_answer144) A solution of the differential equation${{\left( \frac{dy}{dx} \right)}^{2}}-x\frac{dy}{dx}+y=0$is:

A) $y=2$

B) $y=2x$

C) $y=2x-4$

D) $y=2{{x}^{2}}-4$

• question_answer145) If $A$ and $B$ are two independent events, then $P(A+B)$ is equal to:

A) $P(A)+P(B)-P(A)P(B)$

B) $P(A)-P(B)$

C) $P(A)+P(B)$

D) $P(A)+P(B)+P(A)P(B)$

• question_answer146) A bag contains $6$ red, $5$ white and $4$ black balls, two balls are drawn the probability that none of them is red, is:

A) $12/35$

B) $6/35$

C) $4/35$

D) none of these

• question_answer147) If$P(A)=0.65,\,\,P(B)=0.15$, then$P(\bar{A})+P(\bar{B})$is equal to:

A) $1.5$

B) $1.2$

C) $0.8$

D) none of these

• question_answer148) If the regression equations of the variables $x$and $y$ be $x=19.13-0.83y$ and$y=11.64-0.50x$, then the correlation coefficient between x and y is:

A) $0.66$

B) $-0.64$

C) $0.001$

D) $-0.001$

• question_answer149) The roots of $x+{{\log }_{10}}x=3.375$ is approximately:

A) $2.09$

B) $2.909$

C) $2.990$

D) $3.003$

• question_answer150) After second iteration of Newton-Raphson method, the positive root of equation ${{x}^{2}}=3$(taking initial approximation$\frac{3}{2}):$

A) $3/2$

B) $7/4$

C) $97/56$

D) $347/200$