# Solved papers for JCECE Engineering JCECE Engineering Solved Paper-2004

### done JCECE Engineering Solved Paper-2004

• question_answer1) The direction of vector $\overset{\to }{\mathop{\mathbf{A}}}\,$ is reversed. What are the values of $\Delta \overset{\to }{\mathop{\mathbf{A}}}\,$A and$\Delta |\overset{\to }{\mathop{\mathbf{A}}}\,|$?

A) $+2\overset{\to }{\mathop{\mathbf{A}}}\,,\,\,0$

B) $+\overset{\to }{\mathop{\mathbf{A}}}\,,\,\,0$

C) $-\overset{\to }{\mathop{\mathbf{A}}}\,,\,\,0$

D) $-2\overset{\to }{\mathop{\mathbf{A}}}\,,\,\,0$

• question_answer2) The velocity of a body moving with uniform acceleration at a given instant of time $t$ is$10\,\,m/s$. After $5\,\,s$ its velocity is $20\,\,m/s$. Distance travelled in that time is:

A) $300\,\,m$

B) $400\,\,m$

C) $150\,\,m$

D) $75\,\,m$

• question_answer3) A stone falls freely such that the distance covered by it in the last second of its motion is equal to the distance covered by it in the first$5\,\,s$. It is in air for:

A) $26\,\,s$

B) $25\,\,s$

C) $13\,\,s$

D) $12\,\,s$

• question_answer4) A child is swinging a swing. Minimum and maximum heights of swing from earth's surface are $0.75\,\,m$ and $2\,\,m$ respectively. The maximum velocity of this swing is:

A) $5\,\,m/s$

B) $10\,\,m/s$

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

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

• question_answer5) An object is thrown along a direction making an angle ${{45}^{o}}$ with the horizontal direction. The horizontal range of the object is equal to:

A) twice the vertical height

B) vertical height

C) four times the vertical height

D) three times the vertical height

• question_answer6) A fireman wants to slide down a rope. The breaking load for the rope is $\frac{3}{4}th$ of the weight of the man. With what acceleration should the fireman slide down? (Acceleration due to gravity is$g)$

A) $\frac{g}{2}$

B) $\frac{g}{4}$

C) $\frac{3g}{4}$

D) $zero$

• question_answer7) A body of mass $1\,\,kg$ is rotating in a vertical circle of radius $1\,\,m$. What will be the difference in kinetic energy at the top and at the bottom of the circle? (Take$g=10\,\,m/{{s}^{2}})$

A) $50\,\,J$

B) $30\,\,J$

C) $20\,\,J$

D) $10\,\,J$

• question_answer8) A circular ring of mass m and radius r is rolling on a smooth horizontal surface with speed $v$. Its kinetic energy is:

A) $\frac{1}{8}m{{v}^{2}}$

B) $\frac{1}{4}m{{v}^{2}}$

C) $\frac{1}{3}m{{v}^{2}}$

D) $m{{v}^{2}}$

• question_answer9) A satellite is evolving around the earth in a circular orbit of radius 4 times that of the parking orbit, The time period of the satellite is:

A) $16\,\,days$

B) $2\,\,days$

C) $4\,\,days$

D) $8\,\,days$

• question_answer10) As shown, in figure, a planet revolves in elliptical orbit around the sun. Where is $KE$ of the planet maximum?

A) At${{P}_{4}}$

B) At${{P}_{1}}$

C) At${{P}_{2}}$

D) At${{P}_{3}}$

• question_answer11) If the condenser shown in the circuit is charged to $5\,\,V$ and left in the circuit, in $12\,\,s$ the charge on the condenser will become:

A) $\frac{10}{e}coulomb$

B) $\frac{{{e}^{2}}}{10}coulomb$

C) $\frac{10}{{{e}^{2}}}coulomb$

D) $\frac{e}{10}coulomb$

• question_answer12) A sings with a frequency $(n)$ and $B$ sings with a frequency $1/8$ that of $A$. If the energy remains the same and the amplitude of $A$ is $a,$ the amplitude of $B$ will be:

A) $2a$

B) $8a$

C) $4a$

D) $a$

• question_answer13) Reactance of a capacitor of capacitance $C\,\,\mu F$ for $AC$ frequency $\frac{400}{\pi }Hz$ is $25\Omega$, the value of $C$ is:

A) $75\,\,\mu F$

B) $100\,\,\mu F$

C) $25\,\,\mu F$

D) $50\,\,\mu F$

• question_answer14) An electron and a proton have same de-Broglie wavelength, then kinetic energy of the electron is:

A) greater than $KE$ of proton

B) zero

C) equal to $KE$ of proton

D) infinite

• question_answer15) Relative permeability of iron is $5500$. Its magnetic susceptibility is:

A) $5499$

B) $5500\times {{10}^{7}}$

C) $5500\times {{10}^{-7}}$

D) $5501$

• question_answer16) A force of $7\widehat{\mathbf{i}}+6\widehat{\mathbf{k}}$ makes a body to move on a plane with the velocity $3\widehat{\mathbf{j}}+4\widehat{\mathbf{k}}$. The power developed is:

A) $\sqrt{45}$

B) $45$

C) $24$

D) $\sqrt{24}$

• question_answer17) The variation of $PV$ with $V$ of a fixed mass of an ideal gas at constant temperature is graphically represented by as shown in figure:

A)

B)

C)

D)

• question_answer18) The number of oxygen molecules in a cylinder of volume $1\,\,{{m}^{3}}$ at a temperature of ${{27}^{o}}C$ and pressure of $13.8\,\,Pa$ is: (Boltzmann's constant$k=1.38\times {{10}^{-23}}J\,\,{{K}^{-1}})$

A) $6.13\times {{10}^{26}}$

B) $0.3\times {{10}^{28}}$

C) $3.3\times {{10}^{21}}$

D) none of these

• question_answer19) The minimum magnifying power of a telescope is $M$. If the focal length of the eye lens is halved, the magnifying power will become:

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

B) $3\,\,M$

C) $2\,\,M$

D) $4\,\,M$

• question_answer20) The surface temperature is maximum for:

A) blue star

B) yellow star

C) green star

D) red star

• question_answer21) A convergent doublet of separated lens, corrected for spherical aberration, are separated by $2\,\,cm$ and has an equivalent focal length of $10\,\,cm$. The focal length of its component lenses are:

A) ${{f}_{1}}=18\,\,cm,\,\,{{f}_{2}}=10\,\,cm$

B) ${{f}_{1}}=20\,\,cm,\,\,{{f}_{2}}=28\,\,cm$

C) ${{f}_{1}}=20\,\,cm,\,\,{{f}_{2}}=18\,\,cm$

D) ${{f}_{1}}=24\,\,cm,\,\,{{f}_{2}}=18\,\,cm$

• question_answer22) In Young's experiment using light of wavelength $6000\overset{\text{o}}{\mathop{\text{A}}}\,$, fringe width obtained at distance $2.5\,\,m$ is $0.8\,\,mm$. If the entire apparatus is immersed in a liquid of refractive index $1.6$, the fringe width will be:

A) $0.2\,\,mm$

B) $0.4\,\,mm$

C) $0.5\,\,mm$

D) $0.6\,\,mm$

• question_answer23) In double slit experiment, the angular width of interference fringes with sodium light $(\lambda =5890\overset{\text{o}}{\mathop{\text{A}}}\,)$ is ${{0.20}^{o}}$. The change in wavelength required to increase the angular width by $10%$ will be:

A)  zero

B)  increased by $6479\overset{\text{o}}{\mathop{\text{A}}}\,$

C)  increased by $589\overset{\text{o}}{\mathop{\text{A}}}\,$

D)  decreased by $589\overset{\text{o}}{\mathop{\text{A}}}\,$

• question_answer24) $SHM$ is executed by a particle of mass $m$. The displacement of the particle is $\left( \frac{1}{\sqrt{2}} \right)$ times the amplitude. What fraction of the total energy is kinetic at this displacement?

A) $\frac{\sqrt{3}}{2}$

B) $\frac{1}{\sqrt{2}}$

C) $\frac{3}{4}$

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

• question_answer25) The period of SHM of a particle is 12 s. The phase difference between the positions at$t=3\,\,s$and$t=4\,\,s$will be:

A) $\pi /4$

B) $3\pi /5$

C) $\pi /6$

D) $\pi /2$

• question_answer26) The volume of a metal sphere increases by $0.15%$ when its temperature is raised by${{24}^{o}}C$. The coefficient of linear expansion of metal is:

A) $2.5\times {{10}^{-5}}{{/}^{o}}C$

B) $2.0\times {{10}^{-5}}{{/}^{o}}C$

C) $1.5\times {{10}^{-5}}{{/}^{o}}C$

D) $1.2\times {{10}^{-5}}{{/}^{o}}C$

• question_answer27) The radii of two soap bubbles are ${{r}_{1}}$ and ${{r}_{2}}$ $({{r}_{2}}>{{r}_{1}})$. When they come into contact, the radius of their common interface is:

A) ${{r}_{2}}-{{r}_{1}}$

B) $\sqrt{r_{1}^{2}-r_{2}^{2}}$

C) $\frac{{{r}_{1}}+{{r}_{2}}}{2}$

D) $\frac{{{r}_{1}}{{r}_{2}}}{{{r}_{1}}-{{r}_{2}}}$

• question_answer28) A ray of light is incident on the surface of a glass slab at ${{60}^{o}}$. The refractive index of glass, if the reflected and refracted rays are mutually perpendicular to each other, will be:

A) $1.5$

B) $4.16$

C) $2.25$

D) $1.73$

• question_answer29) A stretched string is $1\,\,m$ long. It?s mass per unit length is $0.5\,\,g/m$. It is stretched with a force of $20\,\,N$. It is plucked at a distance of $25\,\,cm$ from one end. The frequency of note emitted by it will be:

A) $400\,\,Hz$

B) $300\,\,Hz$

C) $200\,\,Hz$

D) $100\,\,Hz$

• question_answer30) A transverse wave is given by $y=A\sin 2\pi (f\,\,t-x/\lambda )$ . The maximum particle velocity is $4$ times the wave velocity when:

A) $\lambda =2\pi A$

B) $\lambda =\pi A$

C) $\lambda =\pi A/2$

D) $\lambda =\pi A/4$

• question_answer31) The energy in $eV$ of red light of wavelength $\lambda =6560\overset{\text{o}}{\mathop{\text{A}}}\,$ is:

A) $1.89\,\,eV$

B) $2.89\,\,eV$

C) $3.89\,\,eV$

D) $4.89\,\,eV$

• question_answer32) The wavelength of first member of Lyman series is $1215\overset{\text{o}}{\mathop{\text{A}}}\,$. The wavelength of ${{H}_{\alpha }}$ line is:

A) $6561\overset{\text{o}}{\mathop{\text{A}}}\,$

B) $5464\overset{\text{o}}{\mathop{\text{A}}}\,$

C) $800\overset{\text{o}}{\mathop{\text{A}}}\,$

D) $4840\overset{\text{o}}{\mathop{\text{A}}}\,$

• question_answer33) When silver is irradiated by ultraviolet light of $1000\overset{\text{o}}{\mathop{\text{A}}}\,$, potential of $7.7\,\,V$ is required to stop the photo electrons. The work function of silver will be:

A) $3.72\,\,eV$

B) $6.72\,\,eV$

C) $5.72\,\,eV$

D) $4.67\,\,eV$

• question_answer34) Maximum kinetic energy ${{E}_{k}}$ of a photoelectron varies with the frequency $v$ of the incident radiation as:

A)

B)

C)

D)

• question_answer35) A radioactive element has half-life period$1600\,\,yr$. After $6400\,\,yr$, what part of element will remain?

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

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

C) $\frac{1}{16}$

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

• question_answer36) For a transistor ${{I}_{E}}=25\,\,mA$ and ${{I}_{B}}=1\,\,mA$, the value of current gain $\alpha$ will be:

A) $\frac{25}{24}$

B) $\frac{24}{25}$

C) $\frac{25}{26}$

D) $\frac{26}{25}$

• question_answer37) When two semiconductors of $p$ and $n$ type are brought into contact, they form a $p-n$ junction which acts like a:

A) rectifier

B) amplifier

C) oscillator

D) conductor

• question_answer38) The de-Broglie wavelength of $1\,\,kg$ mass moving with a velocity of $10\,\,m/s$, will be:

A) $6.626\times {{10}^{-35}}m$

B) $6.626\times {{10}^{-34}}m$

C) $6.626\times {{10}^{-33}}m$

D) none of these

• question_answer39) Radioactive nuclei that are injected into a patient collected at certain sites within its body, undergoing radioactive decay and emitting electromagnetic radiation. These radiations can then be recorded by a detector. This procedure provides an important diagnostic tools called:

A) gamma camera

B) CAT scan

D) gamma ray spectroscopy

• question_answer40) If $R,\,\,\,C$ and $L$ denote resistance, capacitance and inductance. Which of the following will not have the dimensions of frequency?

A) $R{{L}^{-1}}$

B) ${{R}^{-1}}{{C}^{-1}}$

C) ${{L}^{-1/2}}{{C}^{-1/2}}$

D) $RCL$

• question_answer41) A $10\mu F$ capacitor is connected across a$200\,\,V,$ $50\,\,Hz\,\,AC$ supply. The peak current through the circuit is:

A) $0.6\sqrt{2}A$

B) $0.6\,\,A$

C) $\frac{0.6\pi }{2}A$

D) $\frac{0.6}{\sqrt{2}}A$

• question_answer42) What is the energy stored in $50\,\,mH$ inductor carrying a current of$4\,\,A?$

A) $0.2\,\,J$

B) $0.4\,\,J$

C) $0.05\,\,J$

D) $0.1\,\,J$

• question_answer43) In an ammeter, $4%$ of the main current is passing through galvanometer. If the galvanometer is shunted with a $5\Omega$ resistance, the resistance of the galvanometer is:

A) $120\Omega$

B) $20\Omega$

C) $5\Omega$

D) $4\Omega$

• question_answer44) If $100\,\,kWh$ of energy is consumed at $33\,\,V$ in a copper voltameter, what is the mass of copper liberated? (Electrochemical equivalent of copper is$0.33\times {{10}^{-6}}kg/C)$

A) $1\,\,mg$

B) $3.6\,\,kg$

C) $3.3\,\,kg$

D) $1\,\,kg$

• question_answer45) Four identical resistors when connected in series dissipate $5\,\,W$ power. If they are connected in parallel, the power dissipated will be:

A) $80\,\,W$

B) $60\,\,W$

C) $40\,\,W$

D) $20\,\,W$

• question_answer46) What is the magnitude of the point charge due to which the electric field 30 cm away has the magnitude of$2N/C?$ $\left( \frac{1}{4\pi {{\varepsilon }_{0}}}=9\times {{10}^{9}}N{{m}^{2}}/{{C}^{2}} \right)$

A) $4\times {{10}^{-11}}C$

B) $2\times {{10}^{-11}}C$

C) $5.4\times {{10}^{-11}}C$

D) $7.5\times {{10}^{-11}}C$

• question_answer47) A parallel plate capacitor is immersed in an oil of dielectric constant 2. The field between the plates is:

A) decreased, by a factor of$\frac{1}{\sqrt{2}}$

B) increased, by a factor of$\sqrt{2}$

C) increased, by a factor of$\frac{1}{2}$

D) decreased, by a factor of$2$

• question_answer48) A triode valve has an amplification factor of $20$ and its plate is given a potential of $300\,\,V$. The grid voltage to reduce the plate current to zero is:

A) $25\,\,V$

B) $15\,\,V$

C) $12\,\,V$

D) $10\,\,V$

• question_answer49) In an ideal parallel $LC$ circuit, the capacitor is charged by connecting it to a $DC\,$ source which is then disconnected. The current in the circuit:

A) becomes zero instantaneously

B) grows monotonically

C) decays monotonically

D) oscillates instantaneously

• question_answer50) For a satellite moving in an orbit around the earth, the ratio of kinetic to potential energy is:

A) $1:2$

B) $2:1$

C) $1:1$

D) $4:1$

• question_answer51) Which of the following statements, about zero order reaction is not true?

A) Its rate constant unit is${{s}^{-1}}$

B) The graph between time and rate of reaction is a straight line

C) Rate of reaction is independent of concentration of reactants

D) None of the above

• question_answer52) The amount of ${{H}_{2}}S$, required to precipitate $1.69\,\,g\,\,BaS$ from $BaC{{l}_{2}}$ solution is:

A) $3.4\,\,g$

B) $0.034\,\,g$

C) $0.34\,\,g$

D) $0.17\,\,g$

• question_answer53) Which of the following is not a protein?

A) Testosterone

B) Lipase

C) Keratin

D) Haemoglobin

• question_answer54) The reaction,$C{{H}_{3}}COC{{H}_{3}}\xrightarrow[(ii)\,\,KOH,\,\,glycol]{(i)\,\,N{{H}_{2}}N{{H}_{2}}}C{{H}_{3}}C{{H}_{2}}C{{H}_{3}}$is known as:

A) Clemmensen's reduction

B) Blanc's reduction

C) Birch reduction

D) Wolff-Kishner reduction

• question_answer55) $pH-$scale was proposed by:

A) Arrhenius

B) Sorenson

C) Pierre de Coubertin

D) none of the above

A) $C{{a}_{3}}{{(P{{O}_{4}})}_{2}}\cdot 2{{H}_{2}}O$

B) $C{{a}_{3}}{{(P{{O}_{4}})}_{2}}\cdot CaSi{{O}_{3}}$

C) $MgSi{{O}_{3}}$

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

A) $N{{a}_{2}}S{{O}_{4}}\cdot A{{l}_{2}}{{(S{{O}_{4}})}_{3}}\cdot 24{{H}_{2}}O$

B) $CuS{{O}_{4}}\cdot A{{l}_{2}}{{(S{{O}_{4}})}_{3}}\cdot 24{{H}_{2}}O$

C) $FeS{{O}_{4}}\cdot {{(N{{H}_{4}})}_{2}}S{{O}_{4}}\cdot 6{{H}_{2}}O$

D) ${{K}_{2}}S{{O}_{4}}\cdot F{{e}_{2}}{{(S{{O}_{4}})}_{3}}\cdot 2{{H}_{2}}O$

• question_answer58) Which of the following has maximum ionisation energy?

A) Caesium

B) Fluorine

C) Xenon

D) Nitrogen

• question_answer59) Which of the following give ammonia, on heating with$NaOH?$

A) Ethyl amine

B) Ethane nitrile

C) Nitroethane

D) Ethanamide

• question_answer60) Which of the following is poisonous?

A) Methanol

B) Ethanol

C) Glycerol

D) Castor oil

• question_answer61) Which of the following fraction of coal tar distillation is obtained at${{270}^{o}}-{{360}^{o}}C?$

A) Light oil

B) Middle oil

C) Green oil

D) Heavy oil

• question_answer62) The amount of oxalic acid, required to prepare $300\,\,mL\,\,2.5\,\,M$ solution, is:

A) $67.5\,\,g$

B) $9.45\,\,g$

C) $6.75\,\,g$

D) $94.5\,\,g$

• question_answer63) The carbon di-oxide gas does not follow gaseous laws at all ranges of pressure and temperature because:

A) it is triatomic gas

B) its internal energy is quite high

C) there is attraction between its, molecules

D) it solidify at low temperature

• question_answer64) The bond-angle in $As{{H}_{3}}$ is greater than that in:

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

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

C) $BC{{l}_{3}}$

D) none of these

• question_answer65) Which of the following gas, diffuse, most slowly?

A) ${{C}_{2}}{{H}_{6}}$

B) ${{C}_{2}}{{H}_{4}}$

C) $C{{H}_{4}}$

D) All of these diffuse at equal rate

• question_answer66) Oxidation number of fluorine is $+1$ in:

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

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

C) both [a] and [b]

D) none of these

A) $P-32$

B) $Na-24$

C) $I-128$

D) $Co-59$

• question_answer68) A metal having higher value of${{E}^{o}}$, can:

A) replace hydrogen from dilute${{H}_{2}}S{{O}_{4}}$

B) replace hydrogen from concentrate${{H}_{2}}S{{O}_{4}}$

C) act as oxidising agent

D) all of the above

• question_answer69) The method, which is used to purify colloidal solution is:

A) electrophoresis

B) dialysis

C) chromatography

D) peptisation

• question_answer70) Four gases ethane, ethene, ethyne and propene are passed into a wolf bottle containing ammoniacal $AgN{{O}_{3}}$ solution. Which gas will come out of wolf bottle?

A) Only ethyne

B) Ethane and ethyne

C) Ethane and ethane

D) Ethane, ethene and propene

• question_answer71) How many conformers are known of ethane?

A) Two

B) Three

C) $>3$

D) Ethane cannot show conformation

C) both [a] and [b]

D) none of these

A) decrease the solubility of impurities

B) increase the fusion temperature of roasted ore

C) convert impurities into slag

D) all of the above

• question_answer74) The heat of formation of $MgO,\,\,A{{l}_{2}}O$ and $Si{{O}_{2}}$ are $-692,\,\,\,-1676,\,\,\,-911,\,\,\,kJ\,\,mo{{l}^{-1}}$. Most stable oxide is:

A) $MgO$

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

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

D) cannot be predicted

• question_answer75) Which of the following reaction, will be favoured by low pressure?

A) $PC{{l}_{5}}PC{{l}_{3}}+C{{l}_{2}}$

B) ${{N}_{2}}+3{{H}_{2}}2N{{H}_{3}}$

C) ${{H}_{2}}+\frac{1}{2}{{O}_{2}}{{H}_{2}}O$

D) $2NO+{{O}_{2}}2N{{O}_{2}}$

• question_answer76) In III group of basic radical analysis, $N{{H}_{4}}Cl$ is added before group reagent $N{{H}_{4}}OH$. This is done to:

A) increase the solubility product of $III$ group salts

B) decrease the solubility product of $III$ group salts

C) increase the ionic product of $O{{H}^{-}}$ and $III$ group radicals

D) decrease the degree of ionisation of group reagent

A) $s-$block elements

B) $p-$block elements

C) both [a] and [b]

D) none of these

• question_answer78) Which of the following equation is used in Pauling's scale of electronegativity?

A) ${{x}_{A}}=0.187(IE+EA)+0.17$

B) ${{x}_{A}}-{{x}_{B}}=0.182$ ${{[{{E}_{A-B}}-\sqrt{({{E}_{A-A}}\times {{E}_{B-B}})}]}^{1/2}}$

C) ${{x}_{A}}=\frac{0.359\,\,{{Z}_{eff}}}{r_{A}^{2}}+0.744$

D) None of the above

• question_answer79) Which hybridisation has sulphur in$S{{O}_{2}}$?

A) $s{{p}^{2}}$

B) $s{{p}^{3}}{{d}^{2}}$

C) $s{{p}^{3}}$

D) $sp$

• question_answer80) The energy of last electron of Li will be:

A) $-30.6\,\,eV$

B) $-13.6\,\,eV$

C) $-24.6\,\,eV$

D) $-28.6\,\,eV$

• question_answer81) Benzaldehyde, in presence of $dil.\,\,NaOH,$changes into benzyl alcohol and sodium benzoate. This reaction is an example of:

A) rearrangement

B) oxidation

C) disproportionation

D) hone of the above

• question_answer82) Which of the following is the strongest acid?

A) $o-$nitro benzoic acid

B) $m-$nitro benzoic acid

C) $m-$chloro benzoic acid

D) $m-$cyano benzoic acid

• question_answer83) What is the product $'X'$ in the reaction$,$$C{{H}_{3}}COCl\xrightarrow{C{{H}_{3}}COONa}X$?

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

B) ${{(C{{H}_{3}}CO)}_{2}}O$

C) $C{{H}_{3}}COC{{H}_{2}}COO{{C}_{2}}{{H}_{5}}$

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

• question_answer84) A $0.5\,\,g/L$ solution of glucose is found to be isotonic with a $2.5\,\,g/L$ solution of an organic compound. What will be the molecular weight of that organic compound?

A) $300$

B) $600$

C) $925$

D) $1200$

• question_answer85) Which of the following ion does not follow $EAN$ rule?

A) ${{[Fe{{(CN)}_{6}}]}^{4-}}$

B) ${{[Ag{{(CN)}_{2}}]}^{-}}$

C) ${{[PtC{{l}_{6}}]}^{2-}}$

D) None of these

• question_answer86) Potassium, on burning in oxygen atmosphere gives:

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

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

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

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

• question_answer87) Which method is employed to prepare copper sol?

A) Peptisation

B) Bredig's arc method

C) Double decomposition

D) Reduction of$CuC{{l}_{2}}$

• question_answer88) How much copper will be deposited at cathode on passing 4 coulomb charge in $15\min ?$

A) $0.0195\,\,g$

B) $0.0013\,\,g$

C) $0.020\,\,g$

D) $0.0020\,\,g$

• question_answer89) If $50%$ of a radioactive substance dissociates in $15\min$, then the time taken by substance to dissociate $99%$ will be:

A) $50\,\,\min$

B) $100\,\,\min$

C) $99\,\,\min$

D) $150\,\,\min$

• question_answer90) Which of the following alcohol give positive iodo form test?

A) Methanol

B) Ethyl carbinol

C) Pentanol$-3$

D) Methyl carbinol

• question_answer91) Human body is an example of:

A) open system

B) closed system

C) isolated system

D) none of these

• question_answer92) The atomic size of cerium and promethium is quite close, due to:

A) they are in same period in periodic table

B) their electronic configuration is same

C) $f-$electrons have poor shielding effect

D) nuclear charge is higher on cerium than promethium

• question_answer93) Brown glass and cement have, which element common in them?

A) $Fe$

B) $Al$

C) $Na$

D) All of these

• question_answer94) The most common isomerism found in ethers, is:

A) chain isomerism

B) tautomerism

C) metamerism

D) optical isomerism

• question_answer95) $t-$butyl chloride preferably undergo hydrolysis by:

A) ${{S}_{N}}1$ mechanism

B) ${{S}_{N}}2$ mechanism

C) any of [b] and [b]

D) none of the above

• question_answer96) Which of the following has lowest boiling point?

A) $NaCl$

B) $CuCl$

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

D) $CsCl$

• question_answer97) Which of the following is true for the reaction$CO(g)+\frac{1}{2}{{O}_{2}}(g)C{{O}_{2}}(g)$

A) ${{K}_{p}}>{{K}_{c}}$

B) ${{K}_{p}}<{{K}_{c}}$

C) ${{K}_{p}}={{K}_{c}}$

D) ${{K}_{p}}\ge {{K}_{c}}$

• question_answer98) Which of the following is not a buffer solution?

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

B) ${{H}_{3}}B{{O}_{3}}+N{{a}_{3}}B{{O}_{3}}$

C) $HCl{{O}_{4}}+NaCl{{O}_{4}}$

D) $N{{H}_{4}}OH+{{(N{{H}_{4}})}_{2}}S{{O}_{4}}$

• question_answer99) Which of the following ore is concentrated by both, magnetic and gravimetric separation?

A) Dolomite

B) Tin stone

C) Galena

D) Bauxite

• question_answer100) Which of the following is not a polymer?

A) RNA

B) Oxytocin

C) Cholesterol

D) Amylose

• question_answer101) The minimum value of ${{x}^{2}}+\frac{1}{1+{{x}^{2}}}$ is at:

A) $x=0$

B) $x=4$

C) $x=1$

D) $x=3$

• question_answer102) If $\overrightarrow{\mathbf{a}},\,\,\overrightarrow{\mathbf{b}},\,\,\overrightarrow{\mathbf{c}}$are the non-coplanar vectors, then the value of$\frac{\overset{\to }{\mathop{\mathbf{a}}}\,\cdot (\overset{\to }{\mathop{\mathbf{b}}}\,\times \overset{\to }{\mathop{\mathbf{c}}}\,)}{(\overset{\to }{\mathop{\mathbf{c}}}\,\times \overset{\to }{\mathop{\mathbf{a}}}\,)\cdot \overset{\to }{\mathop{\mathbf{b}}}\,}+\frac{\overset{\to }{\mathop{\mathbf{b}}}\,(\overset{\to }{\mathop{\mathbf{a}}}\,\times \overset{\to }{\mathop{\mathbf{c}}}\,)}{\overset{\to }{\mathop{\mathbf{c}}}\,\cdot (\overset{\to }{\mathop{\mathbf{a}}}\,\times \overset{\to }{\mathop{\mathbf{b}}}\,)}$is:

A) $1$

B) $2$

C) $0$

D) None of these

• question_answer103) If$x-2y=4$, the minimum value of$xy$is:

A) $-2$

B) $0$

C) $0$

D) $-3$

• question_answer104) If$z=x+iy$and$\left| \frac{1-iz}{z-i} \right|=1$, the locus of$z$is:

A) $x-$axis

B) $y-$axis

D) none of the above

• question_answer105) The vertex of an equilateral triangle is $(2,\,\,-1)$ and the equation of its base is $x+2y=1$, the length of its sides is:

A) $2/\sqrt{15}$

B) $4/3\sqrt{3}$

C) $1/\sqrt{5}$

D) $4/\sqrt{15}$

• question_answer106) The resultant of two forces $P$ and $Q$ is $R$. If the direction of $P$ is reversed keeping the direction $Q$ same, the resultant remains unaltered. The angle between $P$ and $Q$ is:

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

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

C) ${{45}^{o}}$

D) ${{30}^{o}}$

• question_answer107) The distance $s$ (in cm) travelled by a particle in$t$ seconds is given by$,$ $s={{t}^{3}}+2{{t}^{2}}+t$. The speed of the particle after $1\,\,s$ will be:

A) $2\,\,cm/s$

B) $8\,\,cm/s$

C) $6\,\,cm/s$

D) None of these

• question_answer108) The roots of$|x-2{{|}^{2}}+|x-2|-6=0$are:

A) $4,\,\,2$

B) $0,\,\,4$

C) $-1,\,\,3$

D) $5,\,\,1$

• question_answer109) The height of a tower is$7848\,\,cm$. A particle is thrown from the top of the tower with the horizontal velocity of $1784\,\,cm/s$. The time taken by the particle to reach the ground is (g $=981\,\,cm/{{s}^{2}})$:

A) $\sqrt{8}\,\,s$

B) $2\,\,s$

C) $4\,\,s$

D) $8\,\,s$

• question_answer110) The directrix of the hyperbola$\frac{{{x}^{2}}}{9}-\frac{{{y}^{2}}}{4}=1$is:

A) $y=6/\sqrt{13}$

B) $x=6/\sqrt{13}$

C) $y=9/\sqrt{13}$

D) $x=\pm 9/\sqrt{13}$

• question_answer111) The value of${{\cos }^{-1}}\left( \cos \frac{5\pi }{3} \right)+{{\sin }^{-1}}\left( \cos \frac{5\pi }{3} \right)$is:

A) $10\pi /3$

B) $0$

C) $\pi /2$

D) $5\pi /3$

• question_answer112) If$f(x)=\log \left( \frac{1+x}{1-x} \right)$, then$f\left( \frac{2x}{1+{{x}^{2}}} \right)$will be equal to:

A) $2f({{x}^{2}})$

B) $f({{x}^{2}})$

C) $2f(2x)$

D) $2f(x)$

• question_answer113) If${{(1+x-2{{x}^{2}})}^{6}}=1+{{a}_{1}}x+{{a}_{2}}{{x}^{2}}+...+{{a}_{12}}{{x}^{12}}$ then the value of${{a}_{2}}+{{a}_{4}}+...+{{a}_{12}}$is:

A) $31$

B) $32$

C) $64$

D) $1024$

• question_answer114) $2{{x}^{3}}-6x+5$is an increasing function, if:

A) $0<x<1$

B) $-1<x<1$

C) $x<-1$or$x>1$

D) $-1<x<-\frac{1}{2}$

• question_answer115) Two trains are $2\,\,km$ apart their lengths are $200\,\,m$ and $300\,\,m$. They are approaching towards each other with speed of $20\,\,m/s$ and $30\,\,m/s$ respectively. After how much time will they cross each other?

A) $150\,\,s$

B) $100\,\,s$

C) $50\,\,s$

D) $\frac{25}{3}s$

• question_answer116) $\frac{{{d}^{3}}y}{d{{x}^{3}}}+\left[ 1+\frac{{{d}^{2}}y}{d{{x}^{2}}} \right]=1$, has degree and order as:

A) $3,\,\,1$

B) $3,\,\,2$

C) $1,\,\,3$

D) $2,\,\,3$

• question_answer117) The value of$I=\int_{0}^{1}{x\left| x-\frac{1}{2} \right|\,}dx$is:

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

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

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

D) none of these

• question_answer118) If$A=\left[ \begin{matrix} 4 & 2 \\ 3 & 4 \\ \end{matrix} \right]$,$|adj\,\,A|$is equal to:

A) $6$

B) $16$

C) $10$

D) none of these

• question_answer119) $\overset{\to }{\mathop{\mathbf{a}}}\,\cdot (\overset{\to }{\mathop{\mathbf{b}}}\,+\overset{\to }{\mathop{\mathbf{c}}}\,)\times (\overset{\to }{\mathop{\mathbf{a}}}\,+\overset{\to }{\mathop{\mathbf{b}}}\,+\overset{\to }{\mathop{\mathbf{c}}}\,)$is equal to:

A) $[\overset{\to }{\mathop{\mathbf{a}}}\,\overset{\to }{\mathop{\mathbf{b}}}\,\overset{\to }{\mathop{\mathbf{c}}}\,]$

B) $3[\overset{\to }{\mathop{\mathbf{a}}}\,\overset{\to }{\mathop{\mathbf{b}}}\,\overset{\to }{\mathop{\mathbf{c}}}\,]$

C) $0$

D) $2[\overset{\to }{\mathop{\mathbf{a}}}\,\overset{\to }{\mathop{\mathbf{b}}}\,\overset{\to }{\mathop{\mathbf{c}}}\,]$

• question_answer120) A block weighing $w$, is supported on an inclined surface with the help of a horizontal force $P$. The same block can be supported with the help of another force $Q$ acting parallel to the inclined surface, then $\frac{1}{{{p}^{2}}}+\frac{1}{{{w}^{2}}}$ is equal to:

A) $w\sin \alpha$

B) $1$

C) $1/Q$

D) $1/{{Q}^{2}}$

• question_answer121) $\int_{0}^{2}{|x-1}|dx$is equal to:

A) $0$

B) $1/2$

C) $1$

D) $2$

• question_answer122) Two cards are drawn one by one from a pack of cards. The probability of getting first card an ace and second a coloured one is (before drawing second card first card is not placed again in the pack):

A) $4/13$

B) $1/26$

C) $5/52$

D) $5/221$

• question_answer123) A particle is displaced from the point$A(5,\,\,-5,\,\,-7)$to the point$B(6,\,\,2,\,\,-2)$under the influence of the forces${{P}_{1}}=10\widehat{\mathbf{i}}-\widehat{\mathbf{j}}+11\widehat{\mathbf{k}}$,${{P}_{2}}=4\widehat{\mathbf{i}}+5\widehat{\mathbf{j}}+6\widehat{\mathbf{k}}$${{P}_{3}}=-2\widehat{\mathbf{i}}+\widehat{\mathbf{j}}-9\widehat{\mathbf{k}}$, the work done is:

A) $87\,\,unit$

B) $85\,\,unit$

C) $81\,\,unit$

D) none of these

• question_answer124) If$\sin x+\cos x=\frac{1}{5}$, then$\tan 2x$is:

A) $\frac{25}{17}$

B) $\frac{24}{7}$

C) $\frac{7}{25}$

D) $\frac{25}{7}$

• question_answer125) In $\text{a}$ $\Delta ABC,\,\,\angle B=\pi /3$and$\angle C=\pi /4$. If$D$divides $BC$ internally in ratio $1:3$, then$\frac{\sin \angle BAD}{\sin \angle CAD}$is equal to:

A) $1/\sqrt{3}$

B) $1/\sqrt{6}$

C) $\sqrt{2/3}$

D) $1/3$

• question_answer126) If$|\overset{\to }{\mathop{\mathbf{a}}}\,\times \overset{\to }{\mathop{\mathbf{b}}}\,|=|\overset{\to }{\mathop{\mathbf{a}}}\,\cdot \overset{\to }{\mathop{\mathbf{b}}}\,|$ then the angle between$\overset{\to }{\mathop{\mathbf{a}}}\,$and$\overset{\to }{\mathop{\mathbf{b}}}\,$is:

A) $\pi$

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

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

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

• question_answer127) Let $A,\,\,B$ and $C$ are the angles of a plain triangle and$\tan \left( \frac{A}{2} \right)=\frac{1}{3},\,\,\tan \left( \frac{B}{2} \right)=\frac{2}{3}$. Then$\tan \left( \frac{C}{2} \right)$ is equal to:

A) $1/3$

B) $2/3$

C) $2/9$

D) $7/9$

• question_answer128) The value$\underset{x\to 1}{\mathop{\lim }}\,(1-x)\tan \left( \frac{\pi }{2}x \right)$:

A) $3\pi /4$

B) $2\pi /3$

C) $2/\pi$

D) $\pi /4$

• question_answer129) If$f(x)={{\left( \frac{1}{x} \right)}^{x}}$, then the maximum value of$f(x)$is:

A) $e$

B) ${{(e)}^{1/e}}$

C) ${{\left( \frac{1}{e} \right)}^{e}}$

D) none of these

• question_answer130) The volume of the solid formed by rotating, the area enclosed between the curve $y={{x}^{2}}$ and the line $y=1$ about $y=1$ is (in cubic unit):

A) $9\pi /5$

B) $2\pi /5$

C) $8\pi /3$

D) $7\pi /5$

• question_answer131) $\int_{8}^{15}{\frac{dx}{(x-3)\sqrt{x+1}}}$is equal to:

A) $\frac{1}{2}\log \frac{5}{3}$

B) $\frac{1}{3}\log \frac{5}{3}$

C) $\frac{1}{5}\log \frac{3}{5}$

D) $\frac{1}{2}\log \frac{3}{5}$

• question_answer132) Area of the square formed by$|x|+|y|\,\,=1$is:

A) $0\,\,sq\,\,unit$

B) $1\,\,sq\,\,unit$

C) $2\,\,sq\,\,unit$

D) $4\,\,sq\,\,unit$

• question_answer133) If$x=3+i$, then${{x}^{3}}-3{{x}^{2}}-8x+15$is equal to:

A) $45$

B) $-15$

C) $10$

D) $6$

• question_answer134) The function$f(x)=\log (x+\sqrt{{{x}^{2}}+1})$is:

A) even function

B) odd function

C) neither even nor odd

D) periodic function

• question_answer135) The locus of the intersection point of$x\cos \alpha +y\sin \alpha =a$and$x\sin \alpha -y\cos \alpha =b$is:

A) parabola

B) ellipse

C) hyperbola

D) none of these

• question_answer136) If$|\overset{\to }{\mathop{\mathbf{a}}}\,|\,\,=\,\,|\overset{\to }{\mathop{\mathbf{b}}}\,|\,\,=\,\,|\overset{\to }{\mathop{\mathbf{c}}}\,|\,\,=1$and$\overset{\to }{\mathop{\mathbf{a}}}\,+\overset{\to }{\mathop{\mathbf{b}}}\,+\overset{\to }{\mathop{\mathbf{c}}}\,=0$, then the value of$\overset{\to }{\mathop{\mathbf{a}}}\,\cdot \overset{\to }{\mathop{\mathbf{b}}}\,+\overset{\to }{\mathop{\mathbf{b}}}\,\cdot \overset{\to }{\mathop{\mathbf{c}}}\,+\overset{\to }{\mathop{\mathbf{c}}}\,\cdot \overset{\to }{\mathop{\mathbf{a}}}\,$is:

A) $0$

B) $-1$

C) $-\frac{3}{2}$

D) $3$

• question_answer137) If$x={{\log }_{b,}}a,\,\,y={{\log }_{c}}b,\,\,z={{\log }_{a}}c$, then$xyz$is:

A) $0$

B) $1$

C) $3$

D) none of these

• question_answer138) The value of the determinant$\left| \begin{matrix} 1 & \cos (\alpha -\beta ) & \cos \alpha \\ \cos (\alpha -\beta ) & 1 & \cos \beta \\ \cos \alpha & \cos \beta & 1 \\ \end{matrix} \right|$is

A) $0$

B) $1$

C) ${{\alpha }^{2}}-{{\beta }^{2}}$

D) ${{\alpha }^{2}}+{{\beta }^{2}}$

• question_answer139) If $P(A)=P(B)=x$ and$P(A\cap B)=P(A'\cap B')=\frac{1}{3}$, then $x$ is equal to:

A) $1/2$

B) $1/4$

C) $1/3$

D) $1/6$

• question_answer140) If $p$ and $q$ are the roots of the equation${{x}^{2}}+px+q=0$, thus:

A) $p=1$or$0$

B) $p=-2$or$0$

C) $p=-2$

D) $p=1$

• question_answer141) If a dice is thrown twice, the probability of occurrence of $4$ atleast once, is:

A) $11/36$

B) $35/36$

C) $7/12$

D) none of these

• question_answer142) The value of $\int_{0}^{8}{|x-5|}\,\,dx$is:

A) $9$

B) $12$

C) $17$

D) $18$

• question_answer143) The value of$\int_{0}^{\pi }{|{{\sin }^{3}}\theta |d\theta }$is:

A) $0$

B) $\pi$

C) $4/3$

D) $3/8$

• question_answer144) A ball weighing $2\,\,kg$and speed$6\,\,m/s$collides with another ball of $4\,\,kg$ moving in opposite direction with speed of $3\,\,m/s$. They combine after the collision. The speed of this combined mass in $m/s$ is:

A) $4$

B) $2$

C) $0$

D) $3$

• question_answer145) If$\alpha ,\,\,\beta ,\,\,\gamma$are the roots of the equation${{x}^{3}}+4x+1=0$then${{(\alpha +\beta )}^{-1}}+{{(\beta +\gamma )}^{-1}}+{{(\gamma +\alpha )}^{-1}}$is equal to:

A) $2$

B) $3$

C) $4$

D) $5$

• question_answer146) If$\cos \theta +\cos 2\theta +\cos 3\theta =0$, the general value of$\theta$is:

A) $\theta =2m\pi \pm \pi /4$

B) $\theta =m\pi +{{(-1)}^{n}}2\pi /3$

C) $\theta =m\pi +{{(-1)}^{n}}\pi /3$

D) $\theta =2m\pi \pm 2\pi /3$

• question_answer147) Forces $P$ and $Q$ acting at a point $O$ make an angle ${{150}^{o}}$ between them. Their resultant acts at $O$, has magnitude $2$ unit and is perpendicular to $P$. Then in the same unit, the magnitudes of $P$ and $Q$ are:

A) $2\sqrt{3},\,\,4$

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

C) $3,\,\,4$

D) $4,\,\,5$

• question_answer148) A person observes the angle of depression of a building as ${{30}^{o}}$. The person proceeds towards the building with a speed of $25(\sqrt{3}-1)m/h$. After two hours, he observes the angle of elevation as ${{45}^{o}}$. The height of the building (in $m)$ is:

A) $50(\sqrt{3}-1)$

B) $50(\sqrt{3}+1)$

C) $50$

D) $100$

• question_answer149) The value of$\underset{x\to \infty }{\mathop{\lim }}\,{{\left( \frac{x+3}{x+1} \right)}^{x+2}}$is:

A) $0$

B) $1$

C) ${{e}^{2}}$

D) ${{e}^{4}}$

• question_answer150) If$A+B+C={{270}^{o}}$, then $\cos 2A+\cos 2B$$+\cos 2C+4\sin A\sin B\sin C$is equal to:

A) $0$

B) $1$

C) $2$

D) $3$