question_answer1) A simple pendulum is made of a body which a hollow sphere is containing mercury suspended by means of a wire. If a little mercury is drained off, the period of pendulum will
A) remain unchanged
B) increase
C) decrease
D) become erratic
View Answer play_arrowquestion_answer2) Two balloons are filled, one with pure \[He\] gas and the other by air, respectively. If the pressure and temperature of these balloons are same then the number of molecules per unit volume is
A) more in the He filled balloon
B) same in both balloons
C) more in air filled balloon
D) in the ratio of\[1:4\]
View Answer play_arrowquestion_answer3) Which of the following logic gates is a universal gate?
A) \[OR\]
B) \[NOT\]
C) \[AND\]
D) \[NAND\]
View Answer play_arrowquestion_answer4) We consider a thermodynamic system. If \[\Delta U\] represents the increase in its internal energy and \[W\] the work done by the system, which of the following statements is true?
A) \[\Delta U=-W\] in an adiabatic process
B) \[\Delta U=W\] in an isothermal process
C) \[\Delta U=-W\] in an isothermal process
D) \[\Delta U=W\] in an adiabatic process
View Answer play_arrowquestion_answer5) Aerofils are so designed that the speed of air
A) on top side is more than on lower side
B) on top side is less than on lower side
C) is same on both sides
D) is turbulent
View Answer play_arrowquestion_answer6) According to Bernoulli's equation\[\frac{P}{\rho g}+h+\frac{1}{2}\frac{{{v}^{2}}}{g}=\]constant The terms \[A,\,\,B\] and \[C\] are generally called respectively:
A) gravitational head, pressure head and velocity head
B) gravity, gravitational head and velocity head
C) pressure head, gravitational head and velocity head
D) gravity, pressure and velocity head
View Answer play_arrowquestion_answer7) The time of reverberation of a room \[A\] is one second. What will be the time (in seconds) of reverberation of a room, having all the dimensions double of those of room\[A?\]
A) \[2\]
B) \[4\]
C) \[\frac{1}{2}\]
D) \[1\]
View Answer play_arrowquestion_answer8) For sky wave propagation of \[10\,\,MHz\] signal, what should be the minimum electron density in ionosphere?
A) \[\tilde{\ }1.2\times {{10}^{12}}{{m}^{-3}}\]
B) \[\tilde{\ }{{10}^{6}}{{m}^{-3}}\]
C) \[\tilde{\ }{{10}^{14}}{{m}^{-3}}\]
D) \[\tilde{\ }{{10}^{22}}{{m}^{-3}}\]
View Answer play_arrowquestion_answer9) If the mass of moon is \[\frac{M}{81}\], where \[M\] is the mass of earth, find the distance of the point from the moon, where gravitational field due to earth and moon cancel each other. Given that distance between earth and moon is\[60R\], where \[R\] is the radius of earth.
A) \[6R\]
B) \[8R\]
C) \[2R\]
D) \[4R\]
View Answer play_arrowquestion_answer10) \[27\]small drops each having charge \[q\] and radius \[r\] coalesce to from big drop. How many times charge and capacitance will become?
A) \[3,\,\,27\]
B) \[27,\,\,3\]
C) \[27,\,\,27\]
D) \[3,\,\,3\]
View Answer play_arrowquestion_answer11) The magnetic moment has dimensions of
A) \[[LA]\]
B) \[[{{L}^{2}}A]\]
C) \[[L{{T}^{-1}}A]\]
D) \[[{{L}^{2}}{{T}^{-1}}A]\]
View Answer play_arrowquestion_answer12) Which of the following circular rods, (given radius \[r\] and length\[l)\] each made of the same material and whose ends are maintained at the same temperature will conduct most heat?
A) \[r=2{{r}_{0}};\,\,l=2{{l}_{0}}\]
B) \[r=2{{r}_{0}};\,\,l={{l}_{0}}\]
C) \[r={{r}_{0}};\,\,l={{l}_{0}}\]
D) \[r={{r}_{0}};\,\,l=2{{l}_{0}}\]
View Answer play_arrowquestion_answer13) For a satellite moving in an orbit around the earth, the ratio of kinetic energy to potential energy is
A) \[2\]
B) \[\frac{1}{2}\]
C) \[\frac{1}{\sqrt{2}}\]
D) \[\sqrt{2}\]
View Answer play_arrowquestion_answer14) The current in the given circuit is
A) \[0.3\,\,A\]
B) \[0.1\,\,A\]
C) \[0.4\,\,A\]
D) \[0.2\,\,A\]
View Answer play_arrowquestion_answer15) Interference was observed in an interference chamber when air was present. Now, the chamber is evacuated and if the same light is used, a careful observation will show
A) no interference
B) interference with bright band
C) interference with dark bands
D) interference in which breadth of the fringe will be slightly increased
View Answer play_arrowquestion_answer16) When a charged particle moving with velocity \[\overset{\to }{\mathop{\mathbf{v}}}\,\]is subjected to a magnetic field of induction\[\overset{\to }{\mathop{\mathbf{B}}}\,\], the force on it is non-zero. This implies that
A) angle between \[\overset{\to }{\mathop{\mathbf{v}}}\,\] and \[\overset{\to }{\mathop{\mathbf{B}}}\,\] is necessarily\[{{90}^{o}}\]
B) angle between \[\overset{\to }{\mathop{\mathbf{v}}}\,\] and \[\overset{\to }{\mathop{\mathbf{B}}}\,\] can have any value other than\[{{90}^{o}}\]
C) angle between \[\overset{\to }{\mathop{\mathbf{v}}}\,\] and \[\overset{\to }{\mathop{\mathbf{B}}}\,\] can have any value other than zero and\[{{180}^{o}}\]
D) angle between \[\overset{\to }{\mathop{\mathbf{v}}}\,\] and \[\overset{\to }{\mathop{\mathbf{B}}}\,\] is either zero or \[{{180}^{o}}\]
View Answer play_arrowquestion_answer17) A particle moves along a straight line\[OX\]. At a time \[t\] (in seconds) the distance \[x\] (in metres) of the particle from \[O\] is given by \[x=40+12t-{{t}^{3}}\] How long would the particle travel before coming to rest?
A) \[24\,\,m\]
B) \[40\,\,m\]
C) \[56\,\,m\]
D) \[16\,\,m\]
View Answer play_arrowquestion_answer18) Which one of the following statements is true?
A) Both light and sound waves in air are transverse
B) The sound waves in air are longitudinal while the light waves are transverse
C) Both light and sound waves in air are longitudinal
D) Both light and sound waves can travel in vacuum
View Answer play_arrowquestion_answer19) When power is drawn from the secondary coil of the transformer, the dynamic resistance
A) increases
B) decreases
C) remains unchanged
D) changes erratically
View Answer play_arrowquestion_answer20) A reference frame attached to the earth
A) is an inertial frame by definition
B) cannot be an inertial frame because earth is revolving round the sun
C) is an inertial frame because Newton's laws are applicable
D) is an inertial frame because the earth is rotating about its own axis
View Answer play_arrowquestion_answer21) Pressure of an ideal gas is increased by keeping temperature constant. What is the effect on kinetic energy of molecules?
A) Increase
B) Decrease
C) No change
D) Can't be determined
View Answer play_arrowquestion_answer22) What maximum frequency can be reflected from ionosphere?
A) \[5\,\,MHz\]
B) \[6\,\,GHz\]
C) \[5\,\,kHz\]
D) \[500\,\,MHz\]
View Answer play_arrowquestion_answer23) A telescope has focal length of objective and eyepiece as \[200\,\,cm\] and \[5\,\,cm\] respectively. What is magnification of telescope?
A) \[40\]
B) \[80\]
C) \[50\]
D) \[0.01\]
View Answer play_arrowquestion_answer24) A small disc of radius 2 cm is cut from a disc of radius 6 cm. If the distance between their centres is 3.2 cm, what is the shift in the centre of mass of the disc?
A) \[40\]
B) \[80\]
C) \[50\]
D) \[0.01\]
View Answer play_arrowquestion_answer25) Which of the following is not a process involved in fabrication of\[IC?\]
A) Polymerization
B) Diffusion
C) Photolithography
D) Metallisation
View Answer play_arrowquestion_answer26) Permanent magnet has properties retentively and coercively respectively
A) high-high
B) low-low
C) low-high
D) high-low
View Answer play_arrowquestion_answer27) Hydrogen bomb is based upon
A) fission
B) fusion
C) chemical reaction
D) transmutation
View Answer play_arrowquestion_answer28) What is not true for equipotential surface for uniform electric field?
A) Equipotential surface is flat
B) Equipotential surface is spherical
C) Electric lines are perpendicular to equipotential surface
D) Work done is zero
View Answer play_arrowquestion_answer29) A closed organ pipe of length 20 cm is sounded with tuning fork in resonance. What is the frequency of tuning fork?\[(v=332\,\,m/s)\]
A) \[300\,\,Hz\]
B) \[350\,\,Hz\]
C) \[375\,\,Hz\]
D) \[415\,\,Hz\]
View Answer play_arrowquestion_answer30) Two identical springs of spring constant \[k\] are connected in series and parallel as shown in figure. A mass \[M\] is suspended from them. The ratio of their frequencies of vertical oscillation will be
A) \[2:1\]
B) \[1:2\]
C) \[4:1\]
D) \[1:4\]
View Answer play_arrowquestion_answer31) The area of the acceleration-displacement curve of a body gives
A) impulse
B) change in momentum per unit mass
C) change in \[KE\] per unit mass
D) total change in energy
View Answer play_arrowquestion_answer32) The speed of earth's rotation about its axis is\[\omega \]. Its speed is increased to \[x\] times to make the effective acceleration due to gravity equal to zero at the equator. Then \[x\] is
A) \[1\]
B) \[8.5\]
C) \[17\]
D) \[34\]
View Answer play_arrowquestion_answer33) Hard \[X-\]rays for the study of fractures in bones should have a minimum wavelength of\[{{10}^{-11}}m\]. The accelerating voltage for electrons in X-ray machine should be
A) \[<124\,\,kV\]
B) \[>124\,\,kV\]
C) between\[60\,\,kV\]and\[70\,\,kV\]
D) \[=100\,\,kV\]
View Answer play_arrowquestion_answer34) In photoelectric effect, the electrons are ejected from metals if the incident light has a certain minimum
A) wavelength
B) frequency
C) amplitude
D) angle of incidence
View Answer play_arrowquestion_answer35) A capacitor having capacitance with air, is filled with two dielectrics as shown. How many times capacitance will increase?
A) \[12\]
B) \[6\]
C) \[8/3\]
D) \[3\]
View Answer play_arrowquestion_answer36) A leaf which contains only green pigments, is illuminated by a laser light of wavelength\[0.6328\,\,\mu m\]. It would appear to be
A) brown
B) black
C) red
D) green
View Answer play_arrowquestion_answer37) The operation of a nuclear reactor is said to be critical, if the multiplication factor \[(k)\] has a value
A) \[1\]
B) \[1.5\]
C) \[2.1\]
D) \[2.5\]
View Answer play_arrowquestion_answer38) A galvanometer having a resistance of \[8\Omega \] is shunted by a wire of resistance\[2\Omega \]. If the total current is \[1\,\,A\], the part of it passing through the shunt will be
A) \[0.25\,\,A\]
B) \[0.8\,\,A\]
C) \[0.2\,\,A\]
D) \[0.5\,\,A\]
View Answer play_arrowquestion_answer39) Flash light equipped with a new set of batteries, produces bright white light. As the batteries wear out
A) the light intensity gets reduced with no change in its colour
B) light colour changes first to yellow and then red with no change in intensity
C) it stops working suddenly while giving white light
D) colour changes to red and also intensity gets reduced
View Answer play_arrowquestion_answer40) If alpha, beta and gamma rays carry same momentum, which has the longest wavelength?
A) Alpha rays
B) Beta rays
C) Gamma rays
D) None, all have same wavelength
View Answer play_arrowquestion_answer41) An amplifier has a voltage gain\[{{A}_{v}}=1000\]. The voltage gain in \[dB\] is
A) \[30\,\,dB\]
B) \[60\,\,dB\]
C) \[3\,\,dB\]
D) \[20\,\,dB\]
View Answer play_arrowquestion_answer42) When you make ice cubes, the entropy of water
A) does not change
B) increases
C) decreases
D) may either increase or decrease depending on the process used
View Answer play_arrowquestion_answer43) Half-lives of two radioactive substances \[A\] and \[B\] are respectively \[20\min \] and\[40\min \]. Initially the samples of \[A\] and \[B\] have equal number of nuclei. After \[80\min \] the ratio of remaining number of \[A\] and \[B\] nuclei is
A) 1 : 16
B) 4 : 1
C) 1 : 4
D) 1 : 1
View Answer play_arrowquestion_answer44) If equation of a sound wave is\[y=0.0015\sin (62.8x+314t)\] then its wavelength will be
A) \[0.1\,\,unit\]
B) \[2\,\,unit\]
C) \[0.3\,\,unit\]
D) \[0.2\,\,unit\]
View Answer play_arrowquestion_answer45) A projectile is thrown in the upward direction making an angle of \[{{60}^{o}}\] with the horizontal direction with a velocity of\[147\,\,m{{s}^{-1}}\]. Then the time after which its inclination with the horizontal is \[{{45}^{o}}\], is
A) \[15\,\,s\]
B) \[10.98\,\,s\]
C) \[5.49\,\,s\]
D) \[2.745\,\,s\]
View Answer play_arrowquestion_answer46) A motor cycle is going on an over bridge of radius\[R\]. The driver maintains a constant speed. As the motor cycle is ascending on the overbridge, the normal force on it
A) increases
B) decreases
C) remains the same
D) fluctuates erratically
View Answer play_arrowquestion_answer47) If we throw a body upwards with velocity of\[4\,\,m/s\], at what height does its kinetic energy reduce to half of the initial value? (Take\[g=10\,\,m{{s}^{-2}})\]
A) \[4\,\,m\]
B) \[2\,\,m\]
C) \[1\,\,m\]
D) \[0.4\,\,m\]
View Answer play_arrowquestion_answer48) Two glass plates are separated by water. If surface tension of water is \[75\] \[dynes/cm\] and area of each plate wetted by water is \[8\,\,c{{m}^{2}}\] and the distance between the plates is \[0.12\,\,mm\], then the force applied to separate the two plates is
A) \[{{10}^{2}}dyne\]
B) \[{{10}^{4}}dyne\]
C) \[{{10}^{5}}dyne\]
D) \[{{10}^{6}}dyne\]
View Answer play_arrowquestion_answer49) Which of the following is true for rays coming from infinity?
A) Two images are formed
B) Continuous image is formed between focal points of upper and lower lens
C) One image is formed
D) None of the above
View Answer play_arrowquestion_answer50) The north pole of a long horizontal bar magnet is being brought closer to a vertical conducting plane along the perpendicular direction. The direction of the induced current in the conducting plane will be
A) horizontal
B) vertical
C) clock wise
D) anti clock wise
View Answer play_arrowquestion_answer51) Calcium carbide reacts with \[{{H}_{2}}O\] to produce
A) Ethane
B) methane
C) ethylene
D) acetylene
View Answer play_arrowquestion_answer52) Propyne and propene can be distinguished by
A) \[dil.\,\,KMn{{O}_{4}}\]
B) \[conc.\,\,{{H}_{2}}S{{O}_{4}}\]
C) \[AgN{{O}_{3}}\] in ammonia
D) \[B{{r}_{2}}\]in\[CC{{l}_{4}}\]
View Answer play_arrowquestion_answer53) Oxidation number of \[Fe\] in \[F{{e}_{2}}{{O}_{3}}\] is
A) \[\frac{1}{2}\]
B) \[\frac{2}{6}\]
C) \[\frac{8}{3}\]
D) \[\frac{3}{2}\]
View Answer play_arrowquestion_answer54) Bauxite is an ore of
A) \[Al\]
B) \[Ca\]
C) \[Cu\]
D) \[Ni\]
View Answer play_arrowquestion_answer55) The best source of vitamin \[A\] is
A) beans
B) pulses
C) orange
D) carrot
View Answer play_arrowquestion_answer56) Plaster of Paris is
A) \[CaS{{O}_{4}}\cdot \frac{1}{2}{{H}_{2}}O\]
B) \[CaS{{O}_{4}}\cdot 2{{H}_{2}}O\]
C) \[CaS{{O}_{4}}\cdot {{H}_{2}}O\]
D) \[CaS{{O}_{4}}\cdot 4{{H}_{2}}O\]
View Answer play_arrowquestion_answer57) Penicillin is
A) analgesic
B) antipyretic
C) anti malarials
D) antibiotic
View Answer play_arrowquestion_answer58) The most stable compound is
A) \[LiF\]
B) \[LiCl\]
C) \[LiBr\]
D) \[Lil\]
View Answer play_arrowquestion_answer59) Heavy water is
A) \[CaS{{O}_{4}}\]
B) water contain\[CaS{{O}_{4}},\,\,MgS{{O}_{4}}\]
C) \[{{D}_{2}}O\]
D) water contain\[CaC{{O}_{3}}\]
View Answer play_arrowquestion_answer60) In the extraction of copper from its sulphide ore, the metal is formed by reduction of\[C{{u}_{2}}O\] with
A) \[FeS\]
B) \[CO\]
C) \[C{{u}_{2}}S\]
D) \[S{{O}_{2}}\]
View Answer play_arrowquestion_answer61) \[Ba{{O}_{2}}\] and ozone reacts to produce
A) \[Ba\]
B) \[B{{a}_{2}}{{O}_{3}}\]
C) \[BaO\]
D) \[Ba{{(OH)}_{3}}\]
View Answer play_arrowquestion_answer62) Heisenberg uncertainty principle can be explained as
A) \[\Delta x\ge \frac{\Delta p\times h}{4\pi }\]
B) \[\Delta x\times \Delta p\ge \frac{h}{4\pi }\]
C) \[\Delta x\times \Delta p\ge \frac{h}{\pi }\]
D) \[\Delta p\ge \frac{\pi h}{\Delta x}\]
View Answer play_arrowquestion_answer63) For decolourisarion of \[1\] mole of \[KMn{{O}_{4}}\], the moles of \[{{H}_{2}}{{O}_{2}}\] required is
A) \[\frac{1}{2}\]
B) \[\frac{3}{2}\]
C) \[\frac{5}{2}\]
D) \[\frac{7}{2}\]
View Answer play_arrowquestion_answer64) Bleaching powder is obtained by treating \[C{{l}_{2}}\] with
A) \[Ca{{(OH)}_{2}}\]
B) \[CaO\]
C) \[CaC{{O}_{3}}\]
D) \[CaC{{l}_{2}}\]
View Answer play_arrowquestion_answer65) Magnalium contains
A) \[Mg+Al\]
B) \[Mg+Cu\]
C) \[Mg+Fe\]
D) \[Mg+Mn\]
View Answer play_arrowquestion_answer66) The de-Broglie wave length of a panicle with mass \[1\,\,kg\] and velocity \[100\,\,m/s\] is
A) \[6.6\times {{10}^{-33}}m\]
B) \[6.6\times {{10}^{-36}}m\]
C) \[3.3\times {{10}^{33}}m\]
D) \[3.3\times {{10}^{-36}}m\]
View Answer play_arrowquestion_answer67) The volume of a gas measured at \[{{27}^{o}}C\] and \[1\,\,atm\] pressure is\[10\,\,L\]. To reduce the volume to \[2\,\,L\] at\[1\,\,atm\]. pressure, the temperature required is
A) \[60\,\,K\]
B) \[75\,\,K\]
C) \[150\,\,K\]
D) \[225\,\,K\]
View Answer play_arrowquestion_answer68) Isotonic solutions have
A) same vapour pressure
B) same osmotic pressure
C) same boiling point
D) same temperature
View Answer play_arrowquestion_answer69) Epsom salt is
A) \[BaS{{O}_{4}}\cdot 2{{H}_{2}}O\]
B) \[CaS{{O}_{4}}\cdot {{H}_{2}}O\]
C) \[MgS{{O}_{4}}\cdot 2{{H}_{2}}O\]
D) \[MgS{{O}_{4}}\cdot 7{{H}_{2}}O\]
View Answer play_arrowquestion_answer70) Paracetamol is an
A) analgesic
B) antipyretic
C) both [a] and [b]
D) none of the above
View Answer play_arrowquestion_answer71) The number of moles of oxygen obtained by the electrolytic decomposition of 108 g water is
A) \[2.5\]
B) \[3\]
C) \[5\]
D) \[7.5\]
View Answer play_arrowquestion_answer72) The change in entropy for the fusion of \[1\] mole of ice is \[[mp\] of ice \[=273\,\,K\], molar enthalpy of fusion for ice\[=6.0\,\,kJ\,\,mo{{l}^{-1}}]\]
A) \[11.73\,\,J{{K}^{-1}}mo{{l}^{-1}}\]
B) \[18.84\,\,J{{K}^{-1}}mo{{l}^{-1}}\]
C) \[21.97\,\,J{{K}^{-1}}mo{{l}^{-1}}\]
D) \[24.47\,\,J{{K}^{-1}}mo{{l}^{-1}}\]
View Answer play_arrowquestion_answer73) Which does not give a precipitate with \[AgN{{O}_{3}}\] solution?
A) \[[Co{{(N{{H}_{3}})}_{6}}]C{{l}_{3}}\]
B) \[[Co{{(N{{H}_{3}})}_{5}}Cl]C{{l}_{2}}\]
C) \[[Co{{(N{{H}_{3}})}_{4}}C{{l}_{2}}]Cl\]
D) \[[Co{{(N{{H}_{3}})}_{3}}C{{l}_{3}}]\]
View Answer play_arrowquestion_answer74) Total volume of atoms present in a face centred cubic unit cell of a metal is \[(r\] is atomic radius)
A) \[\frac{16}{3}\pi {{r}^{3}}\]
B) \[\frac{20}{3}\pi {{r}^{3}}\]
C) \[\frac{24}{3}\pi {{r}^{3}}\]
D) \[\frac{12}{3}\pi {{r}^{3}}\]
View Answer play_arrowquestion_answer75) Pure silicon doped with phosphorus is a
A) metallic conductor
B) insulator
C) \[n-\]type semiconductor
D) \[p-\]type semiconductor
View Answer play_arrowquestion_answer76) Which of the following is a biodegradable polymer?
A) Cellulose
B) Polythene
C) Polyvinyl chloride
D) Nylon\[6\]
View Answer play_arrowquestion_answer77) What is \[X\] in the following nuclear reaction? \[_{7}{{H}^{14}}{{+}_{1}}{{H}^{1}}{{\xrightarrow{{}}}_{8}}{{O}^{15}}+X\]
A) \[_{0}{{n}^{1}}\]
B) \[_{-1}{{e}^{0}}\]
C) \[_{+1}{{e}^{0}}\]
D) \[\gamma \]
View Answer play_arrowquestion_answer78) Solubility product of \[PbC{{l}_{2}}\]at\[298\,\,K\]is\[1\times {{10}^{-6}}\]. At this temperature solubility of \[PbC{{l}_{2}}\] in \[mol/L\] is
A) \[{{(1\times {{10}^{-6}})}^{1/2}}\]
B) \[{{(1\times {{10}^{-6}})}^{1/3}}\]
C) \[{{(0.25\times {{10}^{-6}})}^{1/3}}\]
D) \[{{(0.25\times {{10}^{-6}})}^{1/2}}\]
View Answer play_arrowquestion_answer79) The \[pH\] of a \[0.001\,\,M\] solution of \[HCl\] is
A) \[0\]
B) \[3\]
C) \[5\]
D) \[10\]
View Answer play_arrowquestion_answer80) Gold number is associated with
A) amount of gold
B) protective colloids
C) purple of cassias
D) electrophoresis
View Answer play_arrowquestion_answer81) Noble gases are used in discharge tubes to give different colours. Reddish-orange glow is due to
A) \[Ar\]
B) \[Ne\]
C) \[Xe\]
D) \[Kr\]
View Answer play_arrowquestion_answer82) The set representing the correct order for first ionisation potential is
A) \[K>Na>Li\]
B) \[Be>Mg>Ca\]
C) \[B>C>N\]
D) \[Ge>Si>C\]
View Answer play_arrowquestion_answer83) Dry ice is
A) solid\[C{{O}_{2}}\]
B) solid camphor
C) solid\[S{{O}_{2}}\]
D) solid\[N{{O}_{2}}\]
View Answer play_arrowquestion_answer84) Methanol and ethanol are miscible in water due to
A) covalent character
B) hydrogen bonding character
C) oxygen bonding character
D) none of the above
View Answer play_arrowquestion_answer85) Which of the following does not have optical isomer?
A) \[[Co{{(N{{H}_{3}})}_{3}}C{{l}_{3}}]\]
B) \[[Co{{(en)}_{3}}]C{{l}_{2}}\]
C) \[[Co{{(en)}_{2}}C{{l}_{2}}]Cl\]
D) \[[Co(en){{(N{{H}_{3}})}_{2}}C{{l}_{2}}]Cl\]
View Answer play_arrowquestion_answer86) \[IUPAC\]name of the following, compound
A) \[N,N-\]dimethylcyclopropanecarboxamide
B) \[N-\]methylcyclopropanamide
C) cyclopropionamide
D) none of the above
View Answer play_arrowquestion_answer87) The product of following reaction is\[2C{{H}_{3}}MgBr+C{{H}_{2}}O\xrightarrow{{}}\]
A) \[C{{H}_{3}}OH\]
B) \[{{C}_{2}}{{H}_{5}}OH\]
C) \[C{{H}_{4}}\]
D) \[{{C}_{2}}{{H}_{6}}\]
View Answer play_arrowquestion_answer88) Freon used as refrigerant is
A) \[C{{F}_{2}}=C{{F}_{2}}\]
B) \[C{{H}_{2}}{{F}_{2}}\]
C) \[CC{{l}_{2}}{{F}_{2}}\]
D) \[C{{F}_{4}}\]
View Answer play_arrowquestion_answer89) Lucas reagent is
A) \[anhy.\,\,ZnC{{l}_{2}}\]and\[N{{H}_{3}}\]
B) \[anhy.\,\,ZnC{{l}_{2}}\]and\[CaC{{l}_{2}}\]
C) \[anhy.\,\,ZnC{{l}_{2}}\]and\[conc.\,\,HCl\]
D) \[anhy.\,\,ZnC{{l}_{2}}\]and\[HCl\]gas
View Answer play_arrowquestion_answer90) The enzyme which can catalyse the conversion of glucose to ethanol is
A) zymase
B) in vertase
C) maltase
D) diastase
View Answer play_arrowquestion_answer91) When dihydroxy acetone reacts with\[HI{{O}_{4}}\], the product is/are
A) \[HCHO\]
B) \[HCOOH\]
C) \[HCHO\]and\[HCOOH\]
D) \[HCHO\]and\[C{{O}_{2}}\]
View Answer play_arrowquestion_answer92) Which of the following does not reduce Fehling's solution?
A) Benzaldehyde
B) Formic acid
C) Glucose
D) Fructose
View Answer play_arrowquestion_answer93) Sodium for mate on heating gives
A) oxalic acid and\[{{H}_{2}}\]
B) sodium oxalate and\[{{H}_{2}}\]
C) sodium oxalate
D) \[C{{O}_{2}}\] and caustic soda
View Answer play_arrowquestion_answer94) Reaction of ethyl for mate with excess of \[C{{H}_{3}}Mgl\] followed by hydrolysis gives
A) \[n-\]propyl alcohol
B) isopropyl alcohol
C) acetaldehyde
D) acetone
View Answer play_arrowquestion_answer95) Hydrolysis of phenyl isocyanide forms
A) benzoic acid
B) formic acid
C) acetic acid
D) none of these
View Answer play_arrowquestion_answer96) Styrene can be purified by
A) simple distillation
B) fractional distillation
C) steam distillation
D) vacuum distillation
View Answer play_arrowquestion_answer97) Which of the following is not reducing sugar?
A) Glucose
B) Fructose
C) Lactose
D) Sucrose
View Answer play_arrowquestion_answer98) The monomer of teflon is:
A) \[CHF=C{{H}_{2}}\]
B) \[C{{F}_{2}}=C{{F}_{2}}\]
C) \[CHCl=CHCl\]
D) \[CHF=CHCl\]
View Answer play_arrowquestion_answer99) The hybridisation state of carbon in fullerene is
A) \[sp\]
B) \[s{{p}^{2}}\]
C) \[s{{p}^{3}}\]
D) \[s{{p}^{3}}d\]
View Answer play_arrowquestion_answer100) A fruity smell is produced by the reaction of\[{{C}_{2}}{{H}_{5}}OH\] with
A) \[C{{H}_{3}}COC{{H}_{3}}\]
B) \[C{{H}_{3}}COOH\]
C) \[PC{{l}_{5}}\]
D) \[C{{H}_{3}}CHO\]
View Answer play_arrowquestion_answer101) If\[\left| \begin{matrix} a+x & a-x & a-x \\ a-x & a+x & a-x \\ a+x & -a-x & a-x \\ \end{matrix} \right|=0\], then\[x\]is equal to
A) \[0,\,\,2a\]
B) \[a,\,\,2a\]
C) \[0,\,\,3a\]
D) none of these
View Answer play_arrowquestion_answer102) If the resultant of two forces \[2p\] and \[\sqrt{2}p\] is \[\sqrt{10}p\], then the angle between them will be
A) \[\frac{\pi }{2}\]
B) \[\pi \]
C) \[\frac{\pi }{3}\]
D) \[\frac{\pi }{4}\]
View Answer play_arrowquestion_answer103) When\[y={{\sin }^{-1}}\left( \frac{2t}{1+{{t}^{2}}} \right)\],\[x={{\tan }^{-1}}\left( \frac{2t}{1-{{t}^{2}}} \right)\] where\[-1<t<1\], then\[\frac{dy}{dx}\]is equal to
A) \[0\]
B) \[1\]
C) \[-1\]
D) \[\infty \]
View Answer play_arrowquestion_answer104) \[\underset{x\to \infty }{\mathop{\lim }}\,\sqrt{\frac{x-\sin x}{x+{{\cos }^{2}}x}}\]is equal to
A) \[-1\]
B) \[0\]
C) \[\frac{1}{2}\]
D) \[1\]
View Answer play_arrowquestion_answer105) The least number of times a fair coin must be tossed so that the probability of getting at least one head in at least \[0.8\] is:
A) \[3\]
B) \[6\]
C) \[5\]
D) none of these
View Answer play_arrowquestion_answer106) If\[\frac{dy}{dx}+y=2{{e}^{2x}}\], then\[y\]is equal to
A) \[c{{e}^{-x}}+\frac{2}{3}{{e}^{2x}}\]
B) \[(1+x){{e}^{-x}}+\frac{2}{3}{{e}^{2x}}+c\]
C) \[c{{e}^{-x}}+\frac{2}{3}{{e}^{2x}}+c\]
D) \[{{e}^{-x}}+\frac{2}{3}{{e}^{2x}}+c\]
View Answer play_arrowquestion_answer107) A particle is projected under gravity\[(g=9.81\,\,m/{{s}^{2}})\]with a velocity of \[29.43\,\,m/s\] at an elevation of\[{{30}^{o}}\]. The time of flight in seconds to a height of \[9.81\,\,m\] are
A) \[1,\,\,2\]
B) \[5,\,\,1.5\]
C) \[1.5,\,\,2\]
D) \[2,\,\,3\]
View Answer play_arrowquestion_answer108) \[\underset{x\to 1}{\mathop{\lim }}\,\frac{{{x}^{8}}-2x+1}{{{x}^{4}}-2x+1}\]equals
A) \[3\]
B) \[0\]
C) \[-3\]
D) \[1\]
View Answer play_arrowquestion_answer109) \[\underset{x\to \frac{\pi }{6}}{\mathop{\lim }}\,\frac{\sin 2x}{\sin x}\]is equal to
A) \[\sqrt{3}\]
B) \[\frac{1}{\sqrt{3}}\]
C) \[2\]
D) \[\frac{1}{2}\]
View Answer play_arrowquestion_answer110) The position vectors of three points are \[\widehat{\mathbf{i}},\,\,\widehat{\mathbf{i}}+2\widehat{\mathbf{j}}\] and\[\widehat{\mathbf{i}}+3\widehat{\mathbf{k}}\]. The area of the triangle formed by these three points, is
A) \[3\,\,sq\,\,unit\]
B) \[3\sqrt{3}sq\,\,unit\]
C) \[4\,\,sq\,\,unit\]
D) \[5\,\,sq\,\,unit\]
View Answer play_arrowquestion_answer111) \[\int_{0}^{\pi /3}{\frac{\cos x+\sin x}{\sqrt{1+\sin 2x}}}dx\]is equal to
A) \[\frac{4\pi }{3}\]
B) \[\frac{2\pi }{3}\]
C) \[\pi \]
D) \[\frac{\pi }{3}\]
View Answer play_arrowquestion_answer112) If \[x,\,\,\,y\] are any two elements of a Boolean lattice, then \[(x+y)\cdot (x+y')\cdot (x'+y)\] is equal to
A) \[x+y\]
B) \[x\cdot y\]
C) \[x'+y\]
D) \[x\cdot y'\]
View Answer play_arrowquestion_answer113) Area of quadrilateral whose vertices are \[(2,\,\,3)\] \[(3,\,\,4),\,\,(4,\,\,5)\] and \[(5,\,\,6)\] is equal to
A) \[0\]
B) \[4\]
C) \[6\]
D) none of these
View Answer play_arrowquestion_answer114) In a triangle vertex angles are \[A,\,\,\,B,\,\,\,C\] and side \[BC\] are given. The area of \[\Delta ABC\] is
A) \[\frac{s(s-a)(s-b)(s-c)}{2}\]
B) \[\frac{{{b}^{2}}{{\sin }^{2}}\sin A}{\sin B}\]
C) \[ab\sin C\]
D) \[\frac{1}{2}\frac{{{a}^{2}}\sin B\sin C}{\sin A}\]
View Answer play_arrowquestion_answer115) \[f(x)=\sin |x|\]. Then \[f(x)\] is not differentiable at
A) \[x=0\] only
B) all\[x\]
C) multiples of\[\pi \]
D) multiples of\[\frac{\pi }{2}\]
View Answer play_arrowquestion_answer116) Which of the following is a logical statement?
A) Are you going to chennai?
B) Shyam is a handsome boy.
C) Alas ! I were a king.
D) Sum of two irrational number is always irrational.
View Answer play_arrowquestion_answer117) For a given integer\[k\], in the interval \[\left[ 2\pi k-\frac{\pi }{2},\,\,2\pi k+\frac{\pi }{2} \right]\]the graph of \[\sin x\] is
A) increasing from \[-1\] to \[1\]
B) decreasing from \[-1\] to \[0\]
C) decreasing from \[0\] to \[1\]
D) none of the above
View Answer play_arrowquestion_answer118) Coefficient of the term independent of \[x\] in the expansion \[{{\left( x+\frac{1}{{{x}^{2}}} \right)}^{6}}\] is equal to
A) 10
B) 15
C) 16
D) none of these
View Answer play_arrowquestion_answer119) A particle starts from rest with uniform acceleration and acquires a velocity of \[40\,\,m/s\] in\[10\,\,s\]. The displacement of the particle at the end of \[10\,\,s\] is
A) \[4\,\,m\]
B) \[200\,\,m\]
C) \[20\,\,m\]
D) none of these
View Answer play_arrowquestion_answer120) If\[P(A)=P(B)=P(C)=\frac{1}{4},\] \[P(AB)=P(CB)=0\]and\[P(A\cap C)=\frac{1}{8}\], then \[P(A+B)\] is equal to
A) \[\frac{5}{8}\]
B) \[\frac{37}{64}\]
C) \[\frac{3}{4}\]
D) \[\frac{1}{2}\]
View Answer play_arrowquestion_answer121) Angles \[A,\,\,\,B\] and \[C\] of a triangle are in \[AP\] with common difference \[15\] degree, then angle \[A\] is equal to
A) \[{{45}^{o}}\]
B) \[{{60}^{o}}\]
C) \[{{75}^{o}}\]
D) \[{{30}^{o}}\]
View Answer play_arrowquestion_answer122) Length of major axis of ellipse \[9{{x}^{2}}+7{{y}^{2}}=63\] is
A) \[3\]
B) \[9\]
C) \[6\]
D) \[2\sqrt{7}\]
View Answer play_arrowquestion_answer123) Area between curves\[y={{x}^{2}},\,\,x={{y}^{2}}\]is
A) \[\frac{1}{9}sq\,\,unit\]
B) \[\frac{1}{3}sq\,\,unit\]
C) \[\frac{1}{\sqrt{3}}sq\,\,unit\]
D) \[\frac{2}{3}sq\,\,unit\]
View Answer play_arrowquestion_answer124) \[\int{\log 2x\,\,dx}\]is equal to
A) \[x\log 2x-\frac{{{x}^{2}}}{2}+c\]
B) \[x\log 2x-\frac{x}{2}+c\]
C) \[{{x}^{2}}\log 2x-\frac{x}{2}+c\]
D) \[x\log 2x-x+c\]
View Answer play_arrowquestion_answer125) \[f(x)=\frac{1}{{{x}^{2}}}\],is
A) symmetric about \[x-\]axis
B) symmetric about \[y-\]axis
C) symmetric about \[x\] and \[y\] axes
D) none of the above
View Answer play_arrowquestion_answer126) \[1,\,\,\,2,\,\,\,3,\,\,\,4\] are four numbers. How many numbers can be made using all four numbers
A) \[1\]
B) \[3\]
C) \[2\]
D) \[64\]
View Answer play_arrowquestion_answer127) \[f(x)=\left\{ \begin{matrix} \frac{\sin 3x}{\sin x}, & x\ne 0 \\ k, & x=0 \\ \end{matrix} \right.\]is continuous, if\[k\]is
A) \[3\]
B) \[0\]
C) \[-3\]
D) \[-1\]
View Answer play_arrowquestion_answer128) If\[y={{\tan }^{-1}}\left( \frac{\sqrt{1+{{x}^{2}}}-1}{x} \right)\], then\[y'(0)\]is
A) \[1/2\]
B) \[0\]
C) \[1\]
D) does not exist
View Answer play_arrowquestion_answer129) The slope of the tangent at the point \[(h,\,\,h)\] to the circle \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\] is
A) \[0\]
B) \[1\]
C) \[-1\]
D) will depend on\[h\]
View Answer play_arrowquestion_answer130) If\[A=\left[ \begin{matrix} 0 & 1 \\ 0 & 0 \\ \end{matrix} \right],\,\,\,I\]is the unit matrix of order\[2\] and \[a,\,\,\,b\]are arbitary constants, then \[{{(aI+bA)}^{2}}\] is equal to
A) \[{{a}^{2}}I-abA\]
B) \[{{a}^{2}}I+2abA\]
C) \[{{a}^{2}}I+{{b}^{2}}A\]
D) none of these
View Answer play_arrowquestion_answer131) The value of\[\tan {{1}^{o}}\tan {{2}^{o}}\tan {{3}^{o}}....tan{{89}^{o}}\]is equal to
A) \[-1\]
B) \[2\]
C) \[\frac{\pi }{2}\]
D) \[1\]
View Answer play_arrowquestion_answer132) Let \[\alpha \] and \[\beta \] be the roots of the equation \[{{x}^{2}}+x+1=0\], then the equation whose roots are \[{{\alpha }^{19}},\,\,{{\beta }^{7}}\], is
A) \[{{x}^{2}}-x-1=0\]
B) \[{{x}^{2}}-x+1=0\]
C) \[{{x}^{2}}+x-1=0\]
D) \[{{x}^{2}}+x+1=0\]
View Answer play_arrowquestion_answer133) If sum of two unit vectors is also an unit vector, then the angle between the two vectors is
A) \[\frac{\pi }{3}\]
B) \[\frac{\pi }{2}\]
C) \[\frac{\pi }{4}\]
D) \[\frac{2\pi }{3}\]
View Answer play_arrowquestion_answer134) Distance from the point \[(1,\,\,6,\,\,3)\] to the line \[\overset{\to }{\mathop{\mathbf{r}}}\,=(\widehat{\mathbf{j}}+2\widehat{\mathbf{k}})+\lambda (\widehat{\mathbf{i}}+2\widehat{\mathbf{j}}+3\widehat{\mathbf{k}})\]is
A) \[\sqrt{13}\]
B) \[13\]
C) \[2\sqrt{3}\]
D) none of these
View Answer play_arrowquestion_answer135) The value of \[\int_{-\pi }^{\pi }{(1-{{x}^{2}})}\sin x{{\cos }^{2}}x\,\,\,dx\]is
A) \[0\]
B) \[\pi -\frac{{{\pi }^{3}}}{3}\]
C) \[2\pi -{{\pi }^{3}}\]
D) \[\frac{7}{2}-2{{\pi }^{3}}\]
View Answer play_arrowquestion_answer136) The equation of circle with origin as centre and passing through the vertices of an equilateral triangle whose median is of length\[3a\], is
A) \[{{x}^{2}}+{{y}^{2}}=9{{a}^{2}}\]
B) \[{{x}^{2}}+{{y}^{2}}=16{{a}^{2}}\]
C) \[{{x}^{2}}+{{y}^{2}}=16{{a}^{2}}\]
D) \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\]
View Answer play_arrowquestion_answer137) The angle between the pair of tangents drawn to the ellipse \[3{{x}^{2}}+2{{y}^{2}}=5\] from the point \[(1,\,\,2)\] is
A) \[{{\tan }^{-1}}\left( \frac{12}{5} \right)\]
B) \[{{\tan }^{-1}}(6\sqrt{5})\]
C) \[{{\tan }^{-1}}\left( \frac{12}{\sqrt{5}} \right)\]
D) \[{{\tan }^{-1}}(12\sqrt{5})\]
View Answer play_arrowquestion_answer138) The values of \[x\] and \[y\] such that \[y\] satisfy the equation \[(x,\,\,\,y\,\,\,\in \] real numbers)\[{{x}^{2}}-xy+{{y}^{2}}-4x-4y+16=0\]is
A) \[4,\,\,4\]
B) \[3,\,\,3\]
C) \[2,\,\,2\]
D) none of these
View Answer play_arrowquestion_answer139) The complex number \[z=x+iy\] which satisfy the equation \[\left| \frac{z-5i}{z+5i} \right|=1\] lies on
A) the axis of\[x\]
B) the straight line\[y=5\]
C) the circle passing through the origin
D) none of the above
View Answer play_arrowquestion_answer140) \[\left( 1+\cos \frac{\pi }{8} \right)\left( 1+\cos \frac{3\pi }{8} \right)\left( 1+\cos \frac{5\pi }{8} \right)\]\[\left( 1+\cos \frac{7\pi }{8} \right)\]is equal to
A) \[\frac{1}{2}\]
B) \[\cos \frac{\pi }{8}\]
C) \[\frac{1}{8}\]
D) \[\frac{1+\sqrt{2}}{2\sqrt{2}}\]
View Answer play_arrowquestion_answer141) If \[a\le 0\], then one of the roots of\[{{x}^{2}}-2a|x-a|-3{{a}^{2}}=0\]is
A) \[(-1+\sqrt{6})a\]
B) b)\[(\sqrt{6}-1)a\]
C) \[a\]
D) none of these
View Answer play_arrowquestion_answer142) If the radius of the circumcircle of an isosceles triangle \[PQR\] is equal to\[PQ=PR\], then the angle \[P\] is
A) \[\frac{\pi }{6}\]
B) \[\frac{\pi }{3}\]
C) \[\frac{\pi }{2}\]
D) \[\frac{2\pi }{3}\]
View Answer play_arrowquestion_answer143) If\[{{z}_{r}}=\cos \left( \frac{\pi }{{{2}^{r}}} \right)+i\sin \left( \frac{\pi }{{{2}^{r}}} \right),\,\,r=1,\,\,2,\,\,....\]then\[{{z}_{1}},\,\,{{z}_{2}},\,\,{{z}_{3}}....\]is equal to
A) \[1\]
B) \[-i\]
C) \[i\]
D) \[-1\]
View Answer play_arrowquestion_answer144) The condition for which\[{{a}^{2}}{{x}^{4}}+b{{x}^{3}}+c{{x}^{2}}+dx+{{f}^{2}}\]may be a perfect square, is
A) \[4{{a}^{2}}c-{{b}^{2}}=8{{a}^{3}}f\]
B) \[4{{a}^{2}}c=8{{a}^{3}}f\]
C) \[2{{a}^{3}}c={{a}^{3}}f\]
D) none of these
View Answer play_arrowquestion_answer145) If\[\tan (\cot x)=\cot (\tan x)\], then\[\sin 2x\]is equal to
A) \[\frac{2}{(2n+1)\pi }\]
B) \[\frac{2}{(2n+1)\pi }\]
C) \[\frac{2}{n(n+1)\pi }\]
D) \[\frac{4}{n(n+1)\pi }\]
View Answer play_arrowquestion_answer146) Let\[a,\,\,b,\,\,c\]be real, if\[a{{x}^{2}}+bx+c=0\]has two real roots \[\alpha \] and \[\beta \], where\[\alpha <-2\]and\[\beta >2\], then
A) \[4-\frac{2b}{a}+\frac{c}{a}<0\]
B) \[4+\frac{2b}{a}-\frac{c}{a}<0\]
C) \[4-\frac{2b}{a}+\frac{c}{a}=0\]
D) \[4+\frac{2b}{a}+\frac{c}{a}=0\]
View Answer play_arrowquestion_answer147) The maximum value of \[{{x}^{3}}-3x\] in the interval \[[0,\,\,2]\] is
A) \[-2\]
B) \[0\]
C) \[2\]
D) \[1\]
View Answer play_arrowquestion_answer148) \[y\] intercept of line passes through \[(2,\,\,2)\] and is perpendicular to the line\[3x+y=3\], is
A) \[\frac{1}{3}\]
B) \[\frac{2}{3}\]
C) \[1\]
D) \[\frac{4}{3}\]
View Answer play_arrowquestion_answer149) If \[\alpha ,\,\,\beta ,\,\,\gamma \] be the angles which a line makes with the co-ordinates axes, then
A) \[{{\sin }^{2}}\alpha +{{\cos }^{2}}\beta +{{\sin }^{2}}\gamma =1\]
B) \[{{\sin }^{2}}\alpha +{{\sin }^{2}}\beta +{{\sin }^{2}}\gamma =1\]
C) \[{{\cos }^{2}}\alpha +{{\cos }^{2}}\beta +{{\cos }^{2}}\gamma =1\]
D) \[{{\cos }^{2}}\alpha +{{\sin }^{2}}\beta +{{\sin }^{2}}\gamma =1\]
View Answer play_arrowquestion_answer150) The value of \[x\] satisfying\[{{\sin }^{-1}}x+{{\sin }^{-1}}(1-x)={{\cos }^{-1}}x\] are
A) \[0\]
B) \[1,\,\,-1\]
C) \[0,\,\,\frac{1}{2}\]
D) none of these
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