question_answer1) Which of the following rays can be polarised?
A) Water wave and sound wave
B) Sound wave and radio wave
C) \[X-\]rays and water wave
D) Light wave and \[X-\] ray
View Answer play_arrowquestion_answer2) Quantum nature can prove :
A) interference
B) photoelectric effect
C) diffraction
D) polarisation
View Answer play_arrowquestion_answer3) Which one has highest binding energy per nucleon?
A) \[F{{e}^{56}}\]
B) \[L{{i}^{6}}\]
C) \[{{U}^{235}}\]
D) \[C{{a}^{40}}\]
View Answer play_arrowquestion_answer4) Huygen's wave theory can't explain:
A) interference
B) photoelectric effect
C) diffraction
D) all of these
View Answer play_arrowquestion_answer5) If the refractive index of a glass prism is \[\cot (A/2)\] and \[A\] is angle of prism, then angle of minimum deviation is:
A) \[\left( \frac{\pi }{2}-A \right)\]
B) \[\left( 2\pi -\frac{A}{2} \right)\]
C) \[\left( \frac{\pi -A}{2} \right)\]
D) \[(\pi -2A)\]
View Answer play_arrowquestion_answer6) If \[f\] is the frequency when mass m is attached to a spring of spring constant \[k\], then new frequency for this arrangement, is: 
A) \[f/2\]
B) \[\sqrt{2f}\]
C) \[f/\sqrt{2}\]
D) \[2\sqrt{2f}\]
View Answer play_arrowquestion_answer7) What is equivalent capacitance of the network? Each capacitor has \[1\mu F\] capacitance: 
A) \[\frac{1}{3}\mu F\]
B) \[2\mu F\]
C) \[\frac{3}{2}\mu F\]
D) \[3\mu F\]
View Answer play_arrowquestion_answer8) The two capacitors \[{{C}_{1}}\]and\[{{C}_{2}}\]are charged to potentials \[{{V}_{1}}\] and \[{{V}_{2}}\] then connected in parallel. There will be no flow of energy, if:
A) \[{{C}_{1}}{{V}_{1}}={{C}_{2}}{{V}_{2}}\]
B) \[{{V}_{1}}={{V}_{2}}\]
C) \[{{C}_{1}}={{C}_{2}}\]
D) \[\frac{{{C}_{1}}}{{{V}_{1}}}=\frac{{{C}_{2}}}{{{V}_{2}}}\]
View Answer play_arrowquestion_answer9) Which is not the unit of electric field?
A) \[\frac{N}{C}\]
B) \[\frac{N-m}{C}\]
C) \[\frac{V}{m}\]
D) \[\frac{J}{C\text{-}m}\]
View Answer play_arrowquestion_answer10) If a body moves for \[2\,\,s\] with \[15\,\,m/s\] velocity towards east and then moves with \[5\,\,m/s\] velocity for \[8\,\,s\] towards north, then average velocity is:
A) \[5\,\,m/s\]
B) \[15\,\,m/s\]
C) \[30\,\,m/s\]
D) \[7.5\,\,m/s\]
View Answer play_arrowquestion_answer11) For monoatomic gas which is correct?
A) \[CV=\frac{3}{5}R\]
B) \[{{C}_{P}}=\frac{5}{2}R\]
C) \[{{C}_{P}}-{{C}_{V}}=2R\]
D) \[\frac{{{C}_{P}}}{{{C}_{V}}}=\frac{3}{5}\]
View Answer play_arrowquestion_answer12) Which is correct relationship for diode?
A) 
B) 
C) 
D) 
question_answer13) In a properly biased transistor:
A) both depletion layers are equally large
B) both depletion layers are equally small
C) emitter-base depletion layer is large but base-collector depletion layer is small
D) emitter-base depletion layer is small but base-collector depletion layer is large
View Answer play_arrowquestion_answer14) A wire has resistance \[20\,\,\Omega \]. If its length is increased three times its initial length, then new resistance is:
A) \[40\Omega \]
B) \[80\Omega \]
C) \[60\Omega \]
D) \[180\Omega \]
View Answer play_arrowquestion_answer15) A circular coil of diameter \[d\] is rotated in electric field such that electric flux is changed from zero to maximum value \[\phi \] then, electric field is:
A) \[\frac{\phi }{\pi {{d}^{2}}}\]
B) \[\frac{2\phi }{\pi {{d}^{2}}}\]
C) \[\frac{4{{d}^{2}}}{\pi {{\phi }^{2}}}\]
D) \[\frac{4\phi }{\pi {{d}^{2}}}\]
View Answer play_arrowquestion_answer16) Work done in rotating a bar magnet from \[0\] to angle \[\theta \] is:
A) \[MH(1-\cos \theta )\]
B) \[\frac{M}{H}(1-\cos \theta )\]
C) \[\frac{M}{H}(\cos \theta -1)\]
D) \[MH(\cos \theta -1)\]
View Answer play_arrowquestion_answer17) If a convex lens of refractive index \[1.44\] is dipped in liquid of refractive index \[1.49\], then it behaves as:
A) concave lens
B) convex lens
C) mirror
D) none of these
View Answer play_arrowquestion_answer18) If a source approaches and recedes from observer with same velocity, the ratio of frequencies (apparent) is \[6:5\], then velocity of source is:\[({{v}_{s}}=330\,\,m/s)\]
A) \[20\,\,m/s\]
B) \[10\,\,m/s\]
C) \[30\,\,m/s\]
D) \[33\,\,m/s\]
View Answer play_arrowquestion_answer19) If a boy swings in a circle so the minimum and maximum height from ground is\[3\,\,m\]and\[6\,\,m\], then, its maximum velocity is:
A) \[5\sqrt{2}m/s\]
B) \[2\sqrt{5}m/s\]
C) \[3\sqrt{5}m/s\]
D) \[5\sqrt{3}m/s\]
View Answer play_arrowquestion_answer20) If percentage decrease in radius of earth is \[1%\] without changing its mass, then percentage change in acceleration due to gravity is:
A) \[2%\] decrease
B) \[2%\] increase
C) \[1%\] decrease
D) \[1%\] increase
View Answer play_arrowquestion_answer21) A black body radiates at two temperatures \[{{T}_{1}}\] and \[{{T}_{2}}\] such that\[{{T}_{1}}<{{T}_{2}}\]. The frequency corresponding to maximum intensity is:
A) less at\[{{T}_{1}}\]
B) more at\[{{T}_{1}}\]
C) equally in the two cases
D) cannot say
View Answer play_arrowquestion_answer22) If temperature is increased by \[1\,\,K\] at constant volume, then work done on the gas is:
A) \[\frac{5}{2}R\]
B) \[\frac{3}{2}R\]
C) \[zero\]
D) \[\frac{1}{2}R\]
View Answer play_arrowquestion_answer23) A body cools from\[{{75}^{o}}C\] to\[{{70}^{o}}C\] in time \[{{t}_{1}}\], from \[{{70}^{o}}C\] to \[{{65}^{o}}C\] in time \[{{t}_{2}}\] and from \[{{65}^{o}}C\] to \[{{60}^{o}}C\] in timer\[3\], then:
A) \[{{t}_{3}}>{{t}_{2}}>{{t}_{1}}\]
B) \[{{t}_{1}}>{{t}_{2}}>{{t}_{3}}\]
C) \[{{t}_{2}}>{{t}_{1}}={{t}_{3}}\]
D) \[{{t}_{1}}>{{t}_{2}}>{{t}_{3}}\]
View Answer play_arrowquestion_answer24) A gas is at \[{{27}^{o}}C\]. Its volume is doubled keeping pressure constant, then final temperature is:
A) \[{{600}^{o}}C\]
B) \[327\,\,K\]
C) \[{{327}^{o}}C\]
D) \[{{273}^{o}}C\]
View Answer play_arrowquestion_answer25) If the volume of gas is changed from \[{{V}_{1}}\] to \[{{V}_{2}}\] isothermally, then work done is:
A) \[RT\ln \frac{{{V}_{1}}}{{{V}_{2}}}\]
B) \[RT\ln \frac{{{V}_{2}}}{{{V}_{1}}}\]
C) \[R({{T}_{2}}-{{T}_{1}})\ln \frac{{{V}_{2}}}{{{V}_{1}}}\]
D) \[R({{V}_{2}}-{{V}_{1}})\ln \frac{{{T}_{2}}}{{{T}_{1}}}\]
View Answer play_arrowquestion_answer26) If energy is supplied to a gas is ochorically, increase in internal energy is \[dU\] then:
A) \[dQ=dU+dW\]
B) \[dQ=dU-dW\]
C) \[dQ=dU\]
D) \[dQ=-dU\]
View Answer play_arrowquestion_answer27) A nucleus \[_{Z}^{A}X\] emits one a and \[2\beta \] particles, then final nucleus is:
A) \[Y_{Z-2}^{A}\]
B) \[Y_{Z-4}^{A-4}\]
C) \[Y_{Z}^{A-4}\]
D) \[X_{Z}^{A}\]
View Answer play_arrowquestion_answer28) The fringe width for red light is approximately how many times that for violet light in Young's slit experiment?
A) \[2\] times
B) \[3\] times
C) Equal
D) \[1/2\] times
View Answer play_arrowquestion_answer29) A person sees clearly at a distance of \[100\,\,cm\], then power of lens used to see object at \[40\,\,cm\] is:
A) \[3D\]
B) \[-3D\]
C) \[-1.5D\]
D) \[+1.5D\]
View Answer play_arrowquestion_answer30) The electric potential \[V\] is given as a function of distance \[x\] (metre) by\[V=(5{{x}^{2}}+10x-4)V\]. Value of electric field at \[x=1\,\,m\] is:
A) \[-23\,\,V/m\]
B) \[11\,\,V/m\]
C) \[6\,\,V/m\]
D) \[-20\,\,V/m\]
View Answer play_arrowquestion_answer31) In an image converter tube fluorescent material is bombarded by:
A) visible radiation
B) electron radiation
C) infrared radiation
D) ultra violet radiation
View Answer play_arrowquestion_answer32) A particle executes simple harmonic motion with a frequency\[f\]. The frequency with which its kinetic energy oscillates is:
A) \[f/2\]
B) \[f\]
C) \[2f\]
D) \[4f\]
View Answer play_arrowquestion_answer33) The work done by the centripetal force \[F\] when the body completes one rotation around the circle of radius \[R\] is:
A) \[2\pi RF\]
B) \[2RF\]
C) \[RF\]
D) \[zero\]
View Answer play_arrowquestion_answer34) The unit mass having \[\overset{\to }{\mathop{\mathbf{r}}}\,=8\widehat{\mathbf{i}}-4\widehat{\mathbf{j}}\] and \[\overset{\to }{\mathop{\mathbf{v}}}\,=8\widehat{\mathbf{i}}+4\widehat{\mathbf{j}}\] in its angular momentum is:
A) \[64\] unit in \[-\mathbf{\hat{k}}\] direction
B) \[64\]unit in \[+\mathbf{\hat{k}}\] direction
C) \[64\]unit in \[+\widehat{\mathbf{j}}\] direction
D) \[64\]unit in \[+\widehat{\mathbf{i}}\] direction
View Answer play_arrowquestion_answer35) Which is nuclear fusion direction?
A) Hydrogen to helium
B) Uranium to krypton
C) Hydrogen to water
D) Neutron to proton
View Answer play_arrowquestion_answer36) If an \[AC\] produces same heat as that produced by a steady current of \[4\,\,A\], then peak value of current is:
A) \[4\,\,A\]
B) \[1.56\,\,A\]
C) \[5.6\,\,A\]
D) \[1.41\,\,A\]
View Answer play_arrowquestion_answer37) In\[LCR\]circuit \[f=\frac{50}{\pi }Hz,\] \[V=50\,\,volt,\]\[R=300\Omega \]. If\[L=1\,\,H\]and\[C=20\,\,\mu C\], then voltage across capacitor is:
A) \[zero\]
B) \[20\,\,V\]
C) \[30\,\,V\]
D) \[50\,\,V\]
View Answer play_arrowquestion_answer38) If two forces each of \[2\,\,N\] are inclined at \[{{60}^{o}}\], then resultant force is:
A) \[2\,\,N\]
B) \[2\sqrt{5}N\]
C) \[3\sqrt{2}N\]
D) \[4\sqrt{2}N\]
View Answer play_arrowquestion_answer39) A block of mass \[10\,\,kg\] is placed on a rough horizontal surface whose coefficient of friction is 0.5. If a horizontal force of \[100\,\,N\] is applied on it, then acceleration of block will be:
A) \[10\,\,m/{{s}^{2}}\]
B) \[5\,\,m/{{s}^{2}}\]
C) \[15\,\,m/{{s}^{2}}\]
D) \[0.5\,\,m/{{s}^{2}}\]
View Answer play_arrowquestion_answer40) The potential difference across an instrument in a \[AC\] circuit of frequency \[f\] is \[V\] and the current through it is \[I\] such that \[V=5\cos 2\pi ft\,\,volt\] and \[I=2\sin 2\pi ft\,\,amp\]. The power dissipated in the instrument is:
A) \[zero\]
B) \[10\,\,W\]
C) \[5\,\,W\]
D) \[2.5\,\,W\]
View Answer play_arrowquestion_answer41) If ratio of intensities of interfering waves is \[16:9\], then ratio of maximum to minimum intensity is:
A) \[49:1\]
B) \[225:81\]
C) \[3:1\]
D) \[9:1\]
View Answer play_arrowquestion_answer42) The power of a lens, a short sighted person uses is \[-2\,\,D\]. Find the maximum distance of an object which he can see without spectacles:
A) \[25\,\,cm\]
B) \[50\,\,cm\]
C) \[100\,\,cm\]
D) \[10\,\,cm\]
View Answer play_arrowquestion_answer43) The first overtone frequency of a wave on string of length \[2\,\,m\] is \[250\,\,Hz\]. Then, its velocity is:
A) \[1000\,\,m/s\]
B) \[25\,\,m/s\]
C) \[100\,\,cm\]
D) \[10\,\,cm\]
View Answer play_arrowquestion_answer44) What is the current flowing in arm\[AB\]? 
A) \[\frac{35}{4}A\]
B) \[\frac{13}{7}A\]
C) \[\frac{5}{7}A\]
D) \[\frac{7}{5}A\]
View Answer play_arrowquestion_answer45) A projectile is fired making an angle \[2\theta \] with horizontal with velocity\[4\,\,m/s\]. At any instant it makes an angle \[\theta \], then its velocity is:
A) \[4\cos \theta \]
B) \[4(2\cos \theta -\sec \theta )\]
C) \[2(\sec \theta +4\cos \theta )\]
D) \[4(\sec \theta +\cos \theta )\]
View Answer play_arrowquestion_answer46) If path difference becomes \[(2n-1)\frac{\lambda }{2}\] then:
A) white fringe is formed
B) bright fringe is formed
C) uniform illumination is obtained
D) dark fringe is formed
View Answer play_arrowquestion_answer47) If the intensity of fringe at wavelength\[\lambda \]is\[K\], then its intensity at wavelength \[\lambda /2\] is:
A) \[\frac{K}{2}\]
B) \[K\]
C) \[zero\]
D) \[\sqrt{2}K\]
View Answer play_arrowquestion_answer48) A positively charged particle moving with velocity \[v\] enters a region of space having a uniform magnetic field \[B\]. The particle will experience the large deflecting force, when the angle between \[v\] and \[B\] is:
A) \[{{0}^{o}}\]
B) \[{{45}^{o}}\]
C) \[{{90}^{o}}\]
D) \[{{180}^{o}}\]
View Answer play_arrowquestion_answer49) In a step-up transformer the turn ratio is\[1:8\]. A lead accumulator \[(emf=6\,\,V)\] is connected across the primary coil of the transformer. The voltage across the secondary coil is:
A) \[48\,\,V\]
B) \[0.75\,\,V\]
C) \[14\,\,V\]
D) \[zero\]
View Answer play_arrowquestion_answer50) The mass of a lift is\[500\,\,kg\]. When it ascends with an acceleration of \[2m/{{s}^{2}}\] the tension in the cable will be:\[(g=10\,\,m/{{s}^{2}})\]
A) \[6000\,\,N\]
B) \[5000\,\,N\]
C) \[4000\,\,N\]
D) \[1000\,\,N\]
View Answer play_arrowquestion_answer51) A water molecule can form maximum number of \[H-\]bond which is equal to:
A) \[1\]
B) \[2\]
C) \[3\]
D) \[4\]
View Answer play_arrowquestion_answer52) Bond angle in \[{{H}_{2}}O\] is:
A) \[{{109}^{o}}28'\]
B) \[{{107}^{o}}10\]
C) \[{{104.5}^{o}}\]
D) \[{{92}^{o}}\]
View Answer play_arrowquestion_answer53) Calamine is:
A) \[ZnS\]
B) \[PbC{{O}_{3}}\]
C) \[ZnC{{O}_{3}}\]
D) \[MgC{{O}_{3}}\]
View Answer play_arrowquestion_answer54) Which is extremely stable?
A) \[N{{F}_{3}}\]
B) \[NC{{l}_{3}}\]
C) \[NB{{r}_{3}}\]
D) \[N{{H}_{3}}\]
View Answer play_arrowquestion_answer55) \[C{{H}_{3}}COCl\]does not react with:
A) diethyl ether
B) phenol
C) ethanol
D) aniline
View Answer play_arrowquestion_answer56) In \[S{{O}_{2}}\] hybridisation is:
A) \[sp\]
B) \[s{{p}^{3}}\]
C) \[ds{{p}^{2}}\]
D) \[s{{p}^{2}}\]
View Answer play_arrowquestion_answer57) Lowest melting point chloride is:
A) \[LiCl\]
B) \[NaCl\]
C) \[KCl\]
D) \[CsCl\]
View Answer play_arrowquestion_answer58) Half-life of a substance is\[6\min \]. If its initial amount is\[32\,\,g\], then amount present after \[18\,\,\min \] is:
A) \[4\,\,g\]
B) \[8\,\,g\]
C) \[16\,\,g\]
D) \[2\,\,g\]
View Answer play_arrowquestion_answer59) If calcium acetate and calcium for mate react, then product formed is:
A) acetaldehyde
B) acetic acid
C) formic acid
D) ethyl for mate
View Answer play_arrowquestion_answer60) Reduction with aluminium isopropoxide in excess of isopropyl alcohol is called Meer we in Pond or f Verley reduction\[(MPV)\]. What will be the firal product when cyclohex-2-enone is selectively reduced in \[MPV\] reaction?
A) Cyclohexanol
B) Cyclohex-2-enol
C) Cyclohexanone
D) Benzene
View Answer play_arrowquestion_answer61) If \[pH\] of a solution is\[4\], then \[{{H}^{+}}\] is:
A) \[{{10}^{4}}\]
B) \[{{10}^{10}}\]
C) \[{{10}^{-4}}\]
D) \[{{10}^{-10}}\]
View Answer play_arrowquestion_answer62) When sodium nitrate is heated above\[{{6000}^{o}}C\], then:
A) only \[N{{a}_{2}}O\] is formed
B) only \[{{N}_{3}}\] is formed
C) only \[{{O}_{2}}\] is formed
D) all are formed
View Answer play_arrowquestion_answer63) Which of the following produces \[C{{l}_{2}}\] gas?
A) \[NaCl+HN{{O}_{3}}\]
B) \[Mn{{O}_{2}}+HCl\]
C) \[KMn{{O}_{4}}+HCl\]
D) \[HCl+HN{{O}_{3}}\]
View Answer play_arrowquestion_answer64) Which is correctly arranged as increasing size?
A) \[F<O<C<Cl<Br\]
B) \[C<O<F<Cl<Br\]
C) \[Cl<Br<F<C<O\]
D) \[O<F<C<Cl<Br\]
View Answer play_arrowquestion_answer65) \[N{{H}_{3}}\] is absorbed by:
A) ozone
B) \[CaO\]
C) pyrargallol
D) \[CaC{{l}_{2}}\]
View Answer play_arrowquestion_answer66) \[1.25\,\,g\]\[N{{H}_{3}}\] contains how many atoms?
A) \[{{10}^{23}}\]
B) \[2\times {{10}^{23}}\]
C) \[6\times {{10}^{13}}\]
D) \[4\times {{10}^{23}}\]
View Answer play_arrowquestion_answer67) Which of the following has smallest bond angle?
A) Ethane
B) Ethene
C) Ethyne
D) Ethanol
View Answer play_arrowquestion_answer68) Chloroform in air is oxidised to :
A) \[CC{{l}_{4}}\]
B) dichloromethane
C) phosgene
D) oxygen
View Answer play_arrowquestion_answer69) Gypsum is:
A) \[CaS{{O}_{4}}\cdot 2{{H}_{2}}O\]
B) \[CaS{{O}_{4}}\cdot \frac{1}{2}{{H}_{2}}O\]
C) \[MgS{{O}_{4}}\cdot 2{{H}_{2}}O\]
D) \[CuS{{O}_{4}}\]
View Answer play_arrowquestion_answer70) Which is not soluble in water?
A) \[PbS{{O}_{4}}\]
B) \[CdS{{O}_{4}}\]
C) \[Bi{{(S{{O}_{4}})}_{2}}\]
D) \[CuS{{O}_{4}}\]
View Answer play_arrowquestion_answer71) Which of the following is colour red?
A) \[C{{u}_{2}}O\]
B) \[CuF\]
C) \[Zn{{F}_{2}}\]
D) \[ZnC{{l}_{2}}\]
View Answer play_arrowquestion_answer72) How many unpaired electrons are present in\[[Cr{{(N{{H}_{3}})}_{5}}]B{{r}_{3}}\]?
A) \[1\]
B) \[2\]
C) \[3\]
D) \[4\]
View Answer play_arrowquestion_answer73) \[S+\frac{3}{2}{{O}_{2}}\xrightarrow{{}}S{{O}_{3}}\Delta H=2x\],\[S{{O}_{2}}+\frac{1}{2}{{O}_{2}}\xrightarrow{{}}S{{O}_{3}}\Delta H=y\],then heat of formation of \[S{{O}_{2}}\] is:
A) \[2x-y\]
B) \[2x+y\]
C) \[x+y\]
D) \[\frac{2x-y}{2}\]
View Answer play_arrowquestion_answer74) Reagent (catalyst) used in Friedel-Craft's alkylation reaction is:
A) \[AlC{{l}_{3}}\]
B) \[anhyd.\,\,AlC{{l}_{3}}\]
C) \[{{N}_{2}}\]
D) \[He\]
View Answer play_arrowquestion_answer75) Catalyst used in making \[{{H}_{2}}S{{O}_{4}}\] in contact process is:
A) \[{{V}_{2}}{{O}_{5}}\]
B) \[F{{e}_{2}}{{O}_{3}}\]
C) \[C{{r}_{2}}{{O}_{3}}\]
D) \[Cr{{O}_{3}}\]
View Answer play_arrowquestion_answer76) When acetamide is reacted with \[NaOBr\], then product formed is:
A) ethanamine
B) methanamine
C) methanamide
D) ethanenitrile
View Answer play_arrowquestion_answer77) Isocyanide is prepared by :
A) Friedel Craft's reaction
B) Wurtz's reacdon
C) Williamson synthesis
D) Carbylamine reaction
View Answer play_arrowquestion_answer78) If rate of diffusion of \[C{{H}_{4}}\] is twice than that of a gas\[x\], then its molecular mass is:
A) \[64\,\,g\]
B) \[16\,\,g\]
C) \[32\,\,g\]
D) \[8\,\,g\]
View Answer play_arrowquestion_answer79) Which one is not Lewis acid?
A) \[Be{{F}_{2}}\]
B) \[SnC{{l}_{4}}\]
C) \[AlC{{l}_{3}}\]
D) \[B{{F}_{3}}\]
View Answer play_arrowquestion_answer80) Natural gas mainly consists of:
A) methane
B) butane
C) propane
D) ethane \[+\] octane
View Answer play_arrowquestion_answer81) Phenol is treated with \[Zn\] to form:
A) benzoic acid
B) benzyl alcohol
C) benzene
D) benzoquinone
View Answer play_arrowquestion_answer82) Which one is isoelectronic with\[CO?\]
A) \[N_{2}^{-}\]
B) \[N_{2}^{+}\]
C) \[C{{N}^{-}}\]
D) \[NO\]
View Answer play_arrowquestion_answer83) How much volume of \[1\,\,M\,\,{{H}_{2}}S{{O}_{4}}\] is required to neutralize \[20\,\,mL\] of\[1M\,\,NaOH\]?
A) \[10\,\,mL\]
B) \[20\,\,mL\]
C) \[5\,\,mL\]
D) \[15\,\,mL\]
View Answer play_arrowquestion_answer84) Fenton's reagent is:
A) \[SnC{{l}_{2}}+HCl\]
B) \[AgN{{O}_{3}}+N{{H}_{4}}OH\]
C) \[CuS{{O}_{4}}+NaOH\]
D) \[FeS{{O}_{4}}+{{H}_{2}}{{O}_{2}}\]
View Answer play_arrowquestion_answer85) \[C{{u}^{2+}}+Ag\xrightarrow{{}}Cu+A{{g}^{+}}\] oxidation half reaction is:
A) \[C{{u}^{2+}}\to Cu\]
B) \[Ag\to A{{g}^{+}}\]
C) \[Cu\to C{{u}^{2+}}\]
D) all of these
View Answer play_arrowquestion_answer86) \[{{C}_{4}}{{H}_{10}}O\] has how many isomeric alcohols?
A) \[1\]
B) \[2\]
C) \[3\]
D) \[4\]
View Answer play_arrowquestion_answer87) \[IUPAC\]name of\[C{{H}_{3}}-C\equiv C-HC-{{(C{{H}_{3}})}_{2}}\]is:
A) 4-methyl-2-pentyne
B) 1, 1-dimethyl-2-butyne
C) 2-methyl-4-pentyne
D) 4, 4-dimethyl-2-butyne
View Answer play_arrowquestion_answer88) Fehling test is given by:
A) glucose
B) fructose
C) sucrose
D) all of these
View Answer play_arrowquestion_answer89) Number of isomeric primary amine of molecular formula \[{{C}_{4}}{{H}_{11}}N\] is:
A) \[1\]
B) \[2\]
C) \[3\]
D) \[4\]
View Answer play_arrowquestion_answer90) For reaction\[3X+Y{{X}_{3}}Y\]\[\Delta H=+ve\], amount of \[{{X}_{3}}Y\] can be changed by:
A) changing temperature
B) changing pressure
C) changing temperature, pressure,
D) changing temperature, pressure, adding catalyst
View Answer play_arrowquestion_answer91) Which one is most ionic?
A) \[{{P}_{2}}{{O}_{5}}\]
B) \[Mn{{O}_{2}}\]
C) \[M{{n}_{2}}{{O}_{7}}\]
D) \[{{P}_{2}}{{O}_{3}}\]
View Answer play_arrowquestion_answer92) Which one gives \[{{I}_{2}}\] on reaction with\[KI?\]
A) \[A{{g}_{2}}S{{O}_{4}}\]
B) \[CuS{{O}_{4}}\]
C) \[PbS{{O}_{4}}\]
D) \[CdS{{O}_{4}}\]
View Answer play_arrowquestion_answer93) Colour of the solution when \[KI\] reacts with \[B{{r}_{2}}\] is:
A) blue
B) black
C) red
D) no change
View Answer play_arrowquestion_answer94) Finely divided iron combines with \[CO\] to give:
A) \[Fe{{(CO)}_{5}}\]
B) \[F{{e}_{2}}{{(CO)}_{9}}\]
C) \[F{{e}_{3}}{{(CO)}_{12}}\]
D) \[Fe{{(CO)}_{6}}\]
View Answer play_arrowquestion_answer95) Which of the following is pyramidal?
A) \[PC{{l}_{3}}\]
B) \[CO_{3}^{2-}\]
C) \[S{{O}_{2}}\]
D) \[NO_{3}^{-}\]
View Answer play_arrowquestion_answer96) Which of the following conducts electricity?
A) Crystal\[NaCl\]
B) Diamond
C) Molten\[KBr\]
D) Sulphur
View Answer play_arrowquestion_answer97) Ratio of kinetic energy of hydrogen and helium gas at \[300\,\,K\] is:
A) \[2:1\]
B) \[4:5\]
C) \[1:1\]
D) \[1:2\]
View Answer play_arrowquestion_answer98) Which of the following has highest energy?
A) \[n=2,\,\,l=1\]
B) \[n=3,\,\,l=2\]
C) \[n=3,\,\,l=1\]
D) \[n=2,\,\,l=0\]
View Answer play_arrowquestion_answer99) Oxidation state of phosphorus in pyrophosphoric acid is:
A) \[+5\]
B) \[+3\]
C) \[+4\]
D) \[+1\]
View Answer play_arrowquestion_answer100) If the \[75%\] of a first order reaction is complete in\[8\min \], then time taken to decompose \[50%\] of its initial amount is:
A) \[2\min \]
B) \[4\min \]
C) \[12\min \]
D) \[1\min \]
View Answer play_arrowquestion_answer101) If\[a\ne \beta \]and\[{{\alpha }^{2}}=5\alpha -3,\,\,{{\beta }^{2}}=5\beta -3\]then the equation having \[\alpha /\beta \] and \[\beta /\alpha \] as its roots is:
A) \[3{{x}^{2}}+19x+3=0\]
B) \[3{{x}^{2}}-19x+3=0\]
C) \[3{{x}^{2}}-19x-3=0\]
D) \[{{x}^{2}}-16x+1=0\]
View Answer play_arrowquestion_answer102) If\[y={{(x+\sqrt{1+{{x}^{2}}})}^{n}}\], then\[{{(1+x)}^{2}}\frac{{{d}^{2}}y}{d{{x}^{2}}}+x\frac{dy}{dx}\]is
A) \[{{n}^{2}}y\]
B) \[-{{n}^{2}}y\]
C) \[-y\]
D) \[2{{x}^{2}}y\]
View Answer play_arrowquestion_answer103) If\[1,\,\,{{\log }_{3}}\sqrt{({{3}^{1-x}}+2)},\,\,{{\log }_{3}}(4\cdot {{3}^{x}}-1)\]are in \[AP\], then \[x\] equals:
A) \[{{\log }_{3}}4\]
B) \[1-{{\log }_{3}}4\]
C) \[1-{{\log }_{4}}3\]
D) \[{{\log }_{4}}3\]
View Answer play_arrowquestion_answer104) A problem in mathematics is given to three students \[A,\,\,\,B,\,\,\,C\] and their respective probability of solving the problem is \[\frac{1}{2},\,\,\,\frac{1}{3}\] and\[\frac{1}{4}\]. Probability that the problem is solved, is:
A) \[\frac{3}{4}\]
B) \[\frac{1}{2}\]
C) \[\frac{2}{3}\]
D) \[\frac{1}{3}\]
View Answer play_arrowquestion_answer105) The angle of elevation of a tower at a point distant \[d\] metres from its base is\[{{30}^{o}}\]. If the tower is \[20\,\,m\] high, then the value of \[d\] is:
A) \[10\sqrt{3}m\]
B) \[\frac{20}{\sqrt{3}}m\]
C) \[20\sqrt{3}m\]
D) \[10\,\,m\]
View Answer play_arrowquestion_answer106) \[l,\,\,\,m,\,\,\,n\] are the \[p\text{th}\], \[q\text{th}\] and \[r\text{th}\] terms of a \[GP\] and all positive, then\[\left| \begin{matrix} \log l & p & 1 \\ \log m & q & 1 \\ \log n & r & 1 \\ \end{matrix} \right|\]equals:
A) \[3\]
B) \[2\]
C) \[1\]
D) \[zero\]
View Answer play_arrowquestion_answer107) \[\underset{x\to 0}{\mathop{\lim }}\,\frac{\sqrt{1-\cos 2x}}{\sqrt{2}x}\]is equal to:
A) \[\lambda \]
B) \[-1\]
C) zero
D) does not exist
View Answer play_arrowquestion_answer108) A triangle with vertices\[(4,\,\,0),\,\,(-1,\,\,-1),\,\,(3,\,\,5)\] is:
A) isosceles and right angled
B) isosceles but not right angled
C) right angled but not isosceles
D) neither right angled nor isosceles
View Answer play_arrowquestion_answer109) \[{{\cot }^{-1}}(\sqrt{\cos \alpha })-{{\tan }^{-1}}(\sqrt{\cos \alpha })=x\], then\[\sin x\]is equal to:
A) \[{{\tan }^{2}}\left( \frac{\alpha }{2} \right)\]
B) \[{{\cot }^{2}}\left( \frac{\alpha }{2} \right)\]
C) \[\tan \alpha \]
D) \[\cot \left( \frac{\alpha }{2} \right)\]
View Answer play_arrowquestion_answer110) A plane which passes through the point \[(3,\,\,2,\,\,0)\] and the line\[\frac{x-3}{1}=\frac{y-6}{5}=\frac{z-4}{4}\]is:
A) \[x-y+z=1\]
B) \[x+y+z=5\]
C) \[x+2y-z=1\]
D) \[2x-y+z=5\]
View Answer play_arrowquestion_answer111) The solution of the equation \[\frac{{{d}^{2}}y}{d{{x}^{2}}}={{e}^{-2x}}\] is:
A) \[\frac{{{e}^{-2x}}}{4}\]
B) \[\frac{{{e}^{-2x}}}{4}+cx+d\]
C) \[\frac{1}{4}{{e}^{-2x}}+c{{x}^{2}}+d\]
D) \[\frac{1}{4}{{e}^{-2x}}+c+d\]
View Answer play_arrowquestion_answer112) \[\underset{x\to \infty }{\mathop{\lim }}\,{{\left( \frac{{{x}^{2}}+5x+3}{{{x}^{2}}+x+2} \right)}^{x}}\]is equal to:
A) \[{{e}^{4}}\]
B) \[{{e}^{2}}\]
C) \[{{e}^{3}}\]
D) \[e\]
View Answer play_arrowquestion_answer113) The domain of\[{{\sin }^{-1}}\left[ {{\log }_{3}}\left( \frac{x}{3} \right) \right]\]is:
A) \[[1,\,\,9]\]
B) \[[-1,\,\,9]\]
C) \[[-9,\,\,1]\]
D) \[[-9,\,\,-1]\]
View Answer play_arrowquestion_answer114) The value of\[{{2}^{1/4}}\cdot {{4}^{1/8}}\cdot {{8}^{1/16}}...\infty \]is
A) \[1\]
B) \[2\]
C) \[3\]
D) \[4\]
View Answer play_arrowquestion_answer115) Fifth term of a \[GP\] is \[2\], then the product of its \[9\] terms is:
A) 256
B) 512
C) 1024
D) none of these
View Answer play_arrowquestion_answer116) \[\int_{0}^{10\pi }{|\sin x|}\,\,dx\]is:
A) \[20\]
B) \[8\]
C) \[10\]
D) \[18\]
View Answer play_arrowquestion_answer117) \[{{I}_{n}}=\int_{0}^{\pi /4}{{{\tan }^{n}}x}\,\,dx\], then\[\underset{n\to \infty }{\mathop{\lim }}\,n[{{I}_{n}}+{{I}_{n+2}}]\] equal to:
A) \[\frac{1}{2}\]
B) \[1\]
C) \[\infty \]
D) \[zero\]
View Answer play_arrowquestion_answer118) \[\int_{-\pi }^{\pi }{\frac{2x(1+\sin x)}{1+{{\cos }^{2}}x}}dx\]is:
A) \[\frac{{{\pi }^{2}}}{4}\]
B) \[{{\pi }^{2}}\]
C) \[zero\]
D) \[\frac{\pi }{2}\]
View Answer play_arrowquestion_answer119) The period of the function\[f(x)={{\sin }^{4}}x+{{\cos }^{4}}x\] is:
A) \[\pi \]
B) \[\frac{\pi }{2}\]
C) \[2\pi \]
D) none of these
View Answer play_arrowquestion_answer120) If\[{{x}^{y}}={{e}^{x-y}}\], then\[\frac{dy}{dx}\]is:
A) \[\frac{1+x}{1+\log x}\]
B) \[\frac{1-\log x}{1+\log x}\]
C) not defined
D) \[\frac{\log x}{{{(1+\log x)}^{2}}}\]
View Answer play_arrowquestion_answer121) The two curves \[{{x}^{3}}-3x{{y}^{2}}+2=0\] and\[3{{x}^{2}}y-{{y}^{3}}-2=0\]
A) cut at right angles
B) touch each other
C) cut at an angle\[\frac{\pi }{3}\]
D) cut at an angle\[\frac{\pi }{4}\]
View Answer play_arrowquestion_answer122) The function \[f(x)={{\cot }^{-1}}x+x\] increases in the interval:
A) \[(1,\,\,\infty )\]
B) \[(-1,\,\,\infty )\]
C) \[(-\infty ,\,\,\infty )\]
D) \[(0,\,\,\infty )\]
View Answer play_arrowquestion_answer123) The greatest value of\[f(x)={{(x+1)}^{1/3}}-{{(x-1)}^{1/3}}\]on\[[0,\,\,1]\]is:
A) \[1\]
B) \[2\]
C) \[3\]
D) \[1/3\]
View Answer play_arrowquestion_answer124) \[\int{\frac{dx}{x({{x}^{n}}+1)}}\]is equal to:
A) \[\frac{1}{n}\log \left( \frac{{{x}^{n}}}{{{x}^{n}}+1} \right)+c\]
B) \[\frac{1}{n}\log \left( \frac{{{x}^{n}}+1}{{{x}^{n}}} \right)+c\]
C) \[\log \left( \frac{{{x}^{n}}}{{{x}^{n}}+1} \right)+c\]
D) none of the above
View Answer play_arrowquestion_answer125) The area bounded by the curve \[y=2x-{{x}^{2}}\] and the straight line \[y=-x\] is given by:
A) \[\frac{9}{2}sq\,\,unit\]
B) \[\frac{43}{6}sq\,\,unit\]
C) \[\frac{35}{6}sq\,\,unit\]
D) none of these
View Answer play_arrowquestion_answer126) The differential equation of all non-vertical lines in a plane is:
A) \[\frac{{{d}^{2}}y}{d{{x}^{2}}}=0\]
B) \[\frac{{{d}^{2}}x}{d{{y}^{2}}}=0\]
C) \[\frac{dy}{dx}=0\]
D) \[\frac{dx}{dy}=0\]
View Answer play_arrowquestion_answer127) Given two vectors \[\widehat{\mathbf{i}}-\widehat{\mathbf{j}}\] and \[\widehat{\mathbf{i}}+2\widehat{\mathbf{j}}\] the unit vector coplanar with the two vectors and perpendicular to first is:
A) \[\pm \frac{1}{\sqrt{2}}(\widehat{\mathbf{i}}+\widehat{\mathbf{j}})\]
B) \[\frac{1}{\sqrt{5}}(2\widehat{\mathbf{i}}+\widehat{\mathbf{j}})\]
C) \[\pm \frac{1}{\sqrt{2}}(\widehat{\mathbf{i}}+\widehat{\mathbf{k}})\]
D) none of these
View Answer play_arrowquestion_answer128) The vector \[\widehat{\mathbf{i}}+x\widehat{\mathbf{j}}+3\widehat{\mathbf{k}}\] is rotated through an angle \[\theta \] and doubled in magnitude, then it becomes\[4\widehat{\mathbf{i}}+(4x-2)\widehat{\mathbf{j}}+2\widehat{\mathbf{k}}\]. The value of is:
A) \[\left\{ -\frac{2}{3},\,\,2 \right\}\]
B) \[\left\{ \frac{1}{3},\,\,2 \right\}\]
C) \[\left\{ \frac{2}{3},\,\,0 \right\}\]
D) \[\{2,\,\,7\}\]
View Answer play_arrowquestion_answer129) A parallelepiped is formed by planes drawn through the points \[(2,\,\,3,\,\,5)\] and \[(5,\,\,9,\,\,7)\] parallel to the coordinate planes. The length of a diagonal of the parallelepiped to piped is:
A) \[7\]
B) \[\sqrt{38}\]
C) \[\sqrt{155}\]
D) none of these
View Answer play_arrowquestion_answer130) The equation of the plane containing the line\[\frac{x-{{x}_{1}}}{l}=\frac{y-{{y}_{1}}}{m}=\frac{z-{{z}_{1}}}{n}\]is\[a(x-{{x}_{1}})+b(y-{{y}_{1}})+c(z-{{z}_{1}})=0\], where:
A) \[a{{x}_{1}}+b{{y}_{1}}+c{{z}_{1}}=0\]
B) \[al+bm+cn=0\]
C) \[\frac{a}{l}=\frac{b}{m}=\frac{c}{n}\]
D) \[l{{x}_{1}}+m{{y}_{1}}+n{{z}_{1}}=0\]
View Answer play_arrowquestion_answer131) \[A\] and \[B\] play a game where each is asked to select a number from \[1\] to\[25\]. If the two numbers match, both of them win a prize. The probability that they will not win a prize in a single trial is:
A) \[\frac{1}{25}\]
B) \[\frac{24}{25}\]
C) \[\frac{2}{25}\]
D) none of these
View Answer play_arrowquestion_answer132) The equation of the directrix of the parabola \[{{y}^{2}}+4y+4x+2=0\]is:
A) \[x=-1\]
B) \[x=1\]
C) \[x=-\frac{3}{2}\]
D) \[x=\frac{3}{2}\]
View Answer play_arrowquestion_answer133) Let \[{{T}_{n}}\] denote the number of triangles which can be formed using the vertices of a regular polygon of \[n\] sides. If\[{{T}_{n+1}}-{{T}_{n}}=21\], then n equals:
A) \[5\]
B) \[7\]
C) \[6\]
D) \[4\]
View Answer play_arrowquestion_answer134) In a triangle \[ABC\], \[\frac{A-B+C}{2}\]is equal to:
A) \[{{a}^{2}}+{{b}^{2}}-{{c}^{2}}\]
B) \[{{c}^{2}}+{{a}^{2}}-{{b}^{2}}\]
C) \[{{b}^{2}}-{{c}^{2}}-{{a}^{2}}\]
D) \[{{c}^{2}}-{{a}^{2}}-{{b}^{2}}\]
View Answer play_arrowquestion_answer135) For \[x\in R,\,\,\underset{x\to \infty }{\mathop{\lim }}\,{{\left( \frac{x-3}{x+2} \right)}^{x}}\] is equal to:
A) \[e\]
B) \[{{e}^{-1}}\]
C) \[{{e}^{-5}}\]
D) \[{{e}^{5}}\]
View Answer play_arrowquestion_answer136) The in centre of the triangle with vertices \[(1,\,\,\sqrt{3}),\,\,(0,\,\,0)\]and\[(2,\,\,0)\]is:
A) \[\left( 1,\,\,\frac{\sqrt{3}}{2} \right)\]
B) \[\left( \frac{2}{3},\,\,\frac{1}{\sqrt{3}} \right)\]
C) \[\left( \frac{2}{3},\,\,\frac{\sqrt{3}}{2} \right)\]
D) \[\left( 1,\,\,\frac{1}{\sqrt{3}} \right)\]
View Answer play_arrowquestion_answer137) If the vectors \[\overset{\to }{\mathop{\mathbf{a}}}\,,\,\,\,\overset{\to }{\mathop{\mathbf{b}}}\,\] and \[\overset{\to }{\mathop{\mathbf{c}}}\,\] from the sides \[BC,\,\,\,CA\] and \[AB\] respectively, of a triangle \[ABC\], then:
A) \[\overset{\to }{\mathop{\mathbf{a}}}\,\cdot \overset{\to }{\mathop{\mathbf{b}}}\,+\overset{\to }{\mathop{\mathbf{b}}}\,\cdot \overset{\to }{\mathop{\mathbf{c}}}\,+\overset{\to }{\mathop{\mathbf{c}}}\,\cdot \overset{\to }{\mathop{\mathbf{b}}}\,=0\]
B) \[\overset{\to }{\mathop{\mathbf{a}}}\,\times \overset{\to }{\mathop{\mathbf{b}}}\,=\overset{\to }{\mathop{\mathbf{b}}}\,\times \overset{\to }{\mathop{\mathbf{c}}}\,=\overset{\to }{\mathop{\mathbf{c}}}\,\times \overset{\to }{\mathop{\mathbf{a}}}\,=0\]
C) \[\overset{\to }{\mathop{\mathbf{a}}}\,\cdot \overset{\to }{\mathop{\mathbf{b}}}\,=\overset{\to }{\mathop{\mathbf{b}}}\,\cdot \overset{\to }{\mathop{\mathbf{c}}}\,=\overset{\to }{\mathop{\mathbf{c}}}\,\cdot \overset{\to }{\mathop{\mathbf{a}}}\,=0\]
D) \[\overset{\to }{\mathop{\mathbf{a}}}\,\times \overset{\to }{\mathop{\mathbf{a}}}\,+\overset{\to }{\mathop{\mathbf{a}}}\,\times \overset{\to }{\mathop{\mathbf{c}}}\,+\overset{\to }{\mathop{\mathbf{c}}}\,\times \overset{\to }{\mathop{\mathbf{a}}}\,=0\]
View Answer play_arrowquestion_answer138) If \[\omega \] is an imaginary cube root of unity, then \[{{(1+\omega -{{\omega }^{2}})}^{7}}\]equals:
A) \[128\omega \]
B) \[-128\omega \]
C) \[128{{\omega }^{2}}\]
D) \[-128{{\omega }^{2}}\]
View Answer play_arrowquestion_answer139) \[{{\sin }^{2}}\theta =\frac{4xy}{{{(x+y)}^{2}}}\]is true, if and only if:
A) \[x+y\ne 0\]
B) \[x=y,\,\,x\ne 0,\,\,y\ne 0\]
C) \[x=y\]
D) \[x\ne 0,\,\,y\ne 0\]
View Answer play_arrowquestion_answer140) The radius of the circle passing through the foci of the ellipse \[\frac{{{x}^{2}}}{16}+\frac{{{y}^{2}}}{9}=1\] and having its centre at\[(0,\,\,3)\] is:
A) \[4\]
B) \[3\]
C) \[\sqrt{12}\]
D) \[\frac{7}{2}\]
View Answer play_arrowquestion_answer141) If \[(\omega \ne 1)\] is a cubic root of unity, then\[\left| \begin{matrix} 1 & 1+1+{{\omega }^{2}} & {{\omega }^{2}} \\ 1-i & -1 & {{\omega }^{2}}-1 \\ -i & -1+\omega -i & -1 \\ \end{matrix} \right|\]equals:
A) \[zero\]
B) \[1\]
C) \[i\]
D) \[\omega \]
View Answer play_arrowquestion_answer142) Let\[f(2)=4\] and \[f'(2)=4\]. Then\[\underset{x\to 2}{\mathop{\lim }}\,\frac{x\,\,f(2)-2f(x)}{x-2}\]is given by:
A) \[2\]
B) \[-2\]
C) \[-4\]
D) \[3\]
View Answer play_arrowquestion_answer143) Three straight lines \[2x+11y-5=0\],\[24x+7y-20=0\]and\[4x-3y-2=0\]:
A) form a triangle
B) are only concurrent
C) are concurrent with on line bisecting the angle between the other two
D) none of the above
View Answer play_arrowquestion_answer144) A straight line through the point\[(2,\,\,2)\]intersects the line\[\sqrt{3}x+y=0\]and\[\sqrt{3}x-y=0\]at the points\[A\]and\[B\]. The equation to the line\[AB\], so that triangle\[AOB\]is equilateral is:
A) \[x-2=0\]
B) \[y-2=0\]
C) \[x+y-4=0\]
D) none of these
View Answer play_arrowquestion_answer145) The greatest distance of the point \[P(10,\,\,7)\] from the circle \[{{x}^{2}}+{{y}^{2}}-4x-2y-20=0\] is:
A) \[10\]
B) \[15\]
C) \[5\]
D) none of these
View Answer play_arrowquestion_answer146) The equation of the ellipse whose foci are \[(\pm \,\,2,\,\,0)\]and eccentricity \[\frac{1}{2}\] is:
A) \[\frac{{{x}^{2}}}{12}+\frac{{{y}^{2}}}{16}=1\]
B) \[\frac{{{x}^{2}}}{16}+\frac{{{y}^{2}}}{12}=1\]
C) \[\frac{{{x}^{2}}}{16}+\frac{{{y}^{2}}}{8}=1\]
D) none of these
View Answer play_arrowquestion_answer147) The equation of the chord joining two points \[({{x}_{1}},\,\,{{y}_{1}})\] and \[({{x}_{2}},\,\,{{y}_{2}})\] on the rectangular hyperbola \[xy={{c}^{2}}\] is:
A) \[\frac{x}{{{x}_{1}}+{{x}_{2}}}+\frac{y}{{{y}_{1}}+{{y}_{2}}}=1\]
B) \[\frac{x}{{{x}_{1}}-{{x}_{2}}}+\frac{y}{{{y}_{1}}-{{y}_{2}}}=1\]
C) \[\frac{x}{{{y}_{1}}+{{y}_{2}}}+\frac{y}{{{x}_{1}}+{{x}_{2}}}=1\]
D) \[\frac{x}{{{y}_{1}}-{{y}_{2}}}+\frac{y}{{{x}_{1}}-{{x}_{2}}}=1\]
View Answer play_arrowquestion_answer148) Let \[R\] be the resultant of \[P\] and \[Q\] \[\text{and}\] if \[\frac{P}{3}=\frac{Q}{7}=\frac{R}{5}\], the angle between \[P\] and \[R\] is:
A) \[{{\cos }^{-1}}\left( \frac{11}{14} \right)\]
B) \[{{\cos }^{-1}}\left( -\frac{11}{14} \right)\]
C) \[\frac{2\pi }{3}\]
D) \[\frac{5\pi }{6}\]
View Answer play_arrowquestion_answer149) Two bodies of different masses \[{{m}_{1}}\] and \[{{m}_{2}}\] are dropped from different heights \[{{h}_{1}}\] and \[{{h}_{2}}\]. The ratio of the time taken by the two bodies to fall through these distances is:
A) \[{{h}_{1}}:{{h}_{2}}\]
B) \[\sqrt{{{h}_{1}}}:\sqrt{{{h}_{2}}}\]
C) \[h_{1}^{2}:h_{2}^{2}\]
D) \[{{h}_{2}}:{{h}_{1}}\]
View Answer play_arrowquestion_answer150) If\[\operatorname{var}(x)=8.25,\,\,\operatorname{var}(y)=33.96\]and\[\operatorname{cov}(x,\,\,y)=10.2\], then the correlation coefficient is:
A) \[0.89\]
B) \[-0.98\]
C) \[0.61\]
D) \[-0.16\]
View Answer play_arrow
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