question_answer2) A ball of mass 2 kg and another of mass 4 kg are dropped together from a 60 ft tall building. After a fall of 30 ft each towards earth, their respective kinetic energies will be in the ratio of
question_answer3) One mole of an ideal gas at an initial temperature of T K does 6R joules of work adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is 5/3, the final temperature of gas will be
question_answer4) A battery is charged at a potential of 15 V for 8 H when the current flowing is 10 A. The battery on discharge supplies a current of 5 A for 15 H. The mean terminal voltage during discharge is 14 V. The watt-hour efficiency of the battery is
question_answer5) Resistances n, each of r ohm, when connected in parallel give an equivalent resistance of R ohm. If these resistances were connected in series, the combination would have a resistance in ohms, equal to
question_answer7) Five equal resistances each of resistance R are connected as shown in the figure. A battery of V volts is connected between A and B. The current flowing in AFCEB will be
question_answer10) A galvanometer of\[50\,\Omega \]resistance has 25 divisions. A current of\[4\times {{10}^{-4}}\]A gives a deflection of one division. To convert this galvanometer into a voltmeter having a range of 25 V, it should be connected with a resistance of
question_answer11) If\[{{\lambda }_{m}}\]denotes the wavelength at which the radiative emission from a black body at a temperature T K is maximum, then
question_answer12) The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axis in the plane of the ring is
question_answer13) A round disc of moment of inertia\[{{I}_{2}}\]about its axis perpendicular to its plane and passing through its centre is placed over another disc of moment of inertia\[{{I}_{1}}\]rotating with an angular velocity co about the same axis. The final angular velocity of the combination of discs is
question_answer14) An electric dipole has the magnitude of its charge as q and its dipole moment is p. It is placed in a uniform electric field E. If its dipole moment is along the direction of the field, the force on it and its potential energy are respectively
question_answer15) A coil of 40 H inductance is connected in series with a resistance of \[8\,\Omega \]and the combination is joined to the terminals of a 2 V battery. The time constant of the circuit is
question_answer16) A 6 V battery is connected to the terminals of a three metre long wire of uniform thickness and resistance of\[100\text{ }\Omega \]. The difference of potential between two points on the wire separated by a distance of 50 cm will be
question_answer17) According to Einsteins photoelectric equation the graph between the kinetic energy of photoelectrons ejected and the frequency of incident radiation is
question_answer20) If in a nuclear fusion process, the masses of the fusing nuclei be\[{{m}_{1}}\]and\[{{m}_{2}}\]and the mass of the resultant nucleus be\[{{m}_{3}},\]then
question_answer22) The peak voltage in the output of a half-wave diode rectifier fed with a sinusoidal signal without filter is 10 V. The DC component of the output voltage is
question_answer23) A mass of 0.5 kg moving with a speed of 1.5 m/s on a horizontal smooth surface, collides with a nearly weightless spring of force constant\[k=50\]N/m The maximum compression of the spring would be
question_answer27) The coefficient of static friction,\[{{\mu }_{s}},\]between block A of mass 2 kg and the table as shown in the figure, is 0.2. What would be the maximum mass value of block B so that the two blocks do not move ? The string and the pulley are assumed to be smooth and massless \[(g=10\text{ }m/{{s}^{2}})\]
question_answer28) Which one of the following statements is true for the speed v and the acceleration a of a particle executing simple harmonic motion?
A)
When v is maximum, a is maximum
doneclear
B)
Value of a is zero, whatever may be the, value of v
question_answer29) Two springs of spring constants\[{{k}_{1}}\]and\[{{k}_{2}}\]are joined in series. The effective spring constant of the combination is given by
question_answer31) A wheel having moment of inertia\[2\text{ }kg-{{m}^{2}}\]about its vertical axis, rotates at the rate of 60 rpm aboutthis axis. The torque which can stop the wheels rotation in one minute would be
question_answer32) Consider a system of two particles having masses\[{{m}_{1}}\]and\[{{m}_{2}}\]. If the particle of mass\[{{m}_{1}}\]is pushed towards the mass centre of particles through a distance d, by what distance would the particle of mass\[{{m}_{2}}\]move so as to keep the mass centre of particles at the original position?
question_answer33) If\[|\overrightarrow{A}\times \overrightarrow{B}|=\sqrt{3}\,\overrightarrow{A}.\overrightarrow{B},\]then the value of\[|\overrightarrow{A}+\overrightarrow{B}|\]is
question_answer34) A car is moving towards a high cliff. The car driver sounds a horn of frequency\[f\]. The reflected sound heard by the driver has a frequency\[2f\]. If\[v\]be the velocity of sound, then the velocity of the car, in the same velocity units, will be
question_answer35) A beam of light composed of red and green rays is incident obliquely at a point on the face of a rectangular glass slab. When coming out on the opposite parallel face, the red and green rays emerge from
A)
two points propagating in two different non-parallel directions
doneclear
B)
two points propagating in two different parallel directions
question_answer36) The density of newly discovered planet is twice that of earth. The acceleration due to gravity at the surface of the planet is equal to that at the surface of the earth. If the radius of the earth is R, the radius of the planet would be
question_answer37) The refractive index of the material of a prism is \[\sqrt{2}\]and its refracting angle is\[30{}^\circ \]. One of the refracting surfaces of the prism is made a mirror inwards. A beam of monochromatic light entering the prism from the other face will retrace its path after reflection from the mirrored surface, if its angle of incidence on the prism is
question_answer38) A stone is tied to a string of length\[l\]and is whirled in a vertical circle with the other end of the string as the centre. At a certain instant of time, the stone is at its lowest position and has a speed u. The magnitude of the change in velocity as it reaches a position where the string is horizontal (g being acceleration due to gravity) is
question_answer39) A particle of mass\[{{m}_{1}}\]is moving with a velocity\[{{v}_{1}}\] and another particle of mass\[{{m}_{2}}\]is moving with a velocity\[{{v}_{2}}\]. Both of them have the same momentum but their different kinetic energies are\[{{E}_{1}}\]and\[{{E}_{2}}\]respectively. If\[{{m}_{1}}>{{m}_{2}},\]then
question_answer40) A bullet of mass 2g is having a charge of\[2\mu C\]. Through what potential difference must it be accelerated, starting from rest, to acquire a speed of 10 m/s?
question_answer41) . In India electricity is supplied for domestic use at 220 V. It is supplied at 110 V in USA. If the resistance of a 60 W bulb for use in India is\[R,\] the resistance of a 60 W bulb for use in USA will be
question_answer42) The magnetic flux through a circuit of resistance R changes by an amount\[\Delta \phi \]in a time At. Then the total quantity of electric charge Q that passes any point in the circuit during the time Ac is represented by
question_answer45) \[{{M}_{p}}\]denotes the mass of a proton and\[{{M}_{n}}\]that of a neutron. A given nucleus, of binding energy B, contains Z protons and N neutrons. The mass M(N, Z) of the nucleus is given by
question_answer46) The phase difference between two waves, represented by \[{{y}_{1}}={{10}^{-6}}\sin [100t+(x/50)+0.5]m\] \[{{y}_{2}}={{10}^{-6}}\cos [100t+(x/50)]m\] where\[x\]is expressed in metres and t is expressed in seconds, is approximately
question_answer47) A telescope has an objective lens of 10 cm diameter and is situated at a distance of one kilometre from two objects. The minimum distance between these two objects, which can be resolved by the telescope, when the mean wavelength of light is 5000 A, of the order of
question_answer48) A block of mass m is placed on a smooth wedge of inclination 9. The whole system is accelerated horizontally so that the block does not slip on the wedge. The force exerted by the wedge on the block (g is acceleration due to gravity) will be
question_answer49) Three particles, each of mass m grams situated at the vertices of an equilateral triangle ABC of side I cm (as shown in the figure). The moment of inertia of the system about a line AX perpendicular to AB and in the plane of ABC, in gram\[-c{{m}^{2}}\]units will be
question_answer50) Energy\[E\]of a hydrogen atom with principal quantum number n is given by\[E=\frac{-13.6}{{{n}^{2}}}eV\]. The energy of a photon ejected when the electron jumps from\[n=3\]state to\[n=2\]state of hydrogen, is approximately
question_answer52) Copper has face-centred cubic (fee) lattice with interatomic spacing equal to\[2.54\overset{o}{\mathop{\text{A}}}\,\]. The value of lattice constant for this lattice is
question_answer54) A particle moves along a straight line OX. At a time t (in seconds) the distance\[x\] (in meters) of the particle from 0 is given by \[x=40+12t-{{t}^{3}}\] How long would the particle travel before coming to rest?
question_answer55) Two bodies, A (of mass 1 kg) and B (of mass 3 kg) are dropped from heights of 16 m and 25 m, respectively. The ratio of the time taken by them to reach the ground is
question_answer59) A hole is in the bottom of the tank having water. If total pressure at the bottom is 3 aim (1 atm \[={{10}^{5}}N-{{m}^{-2}}\]), then velocity of water flowing from hole is
question_answer62) The rate of first order reaction is\[1.5\times {{10}^{-2}}\]mol \[{{L}^{-1}}mi{{n}^{-1}}\]at 0.5 M concentration of the reactant. The half-life of the reaction is
question_answer64) Which one of the following structures represents the peptide chain?
A)
\[-\overset{\begin{smallmatrix} H \\ | \end{smallmatrix}}{\mathop{N}}\,-\underset{\begin{smallmatrix} || \\ O \end{smallmatrix}}{\mathop{C}}\,-\underset{\begin{smallmatrix} || \\ H \end{smallmatrix}}{\mathop{N}}\,-\underset{|}{\overset{|}{\mathop{C}}}\,-NH-\overset{\begin{smallmatrix} O \\ || \end{smallmatrix}}{\mathop{C}}\,-NH-\]
doneclear
B)
\[-\overset{\begin{smallmatrix} H \\ | \end{smallmatrix}}{\mathop{N}}\,-\underset{\begin{smallmatrix} || \\ O \end{smallmatrix}}{\mathop{C}}\,-\underset{|}{\overset{|}{\mathop{C}}}\,-\underset{|}{\overset{|}{\mathop{C}}}\,-\underset{|}{\overset{|}{\mathop{C}}}\,-\overset{\begin{smallmatrix} H \\ | \end{smallmatrix}}{\mathop{N}}\,-\underset{|}{\overset{|}{\mathop{C}}}\,-\underset{|}{\overset{|}{\mathop{C}}}\,-\underset{|}{\overset{|}{\mathop{C}}}\,\]
doneclear
C)
\[-\overset{\begin{smallmatrix} H \\ | \end{smallmatrix}}{\mathop{N}}\,-\underset{|}{\overset{|}{\mathop{C}}}\,-\underset{\begin{smallmatrix} || \\ O \end{smallmatrix}}{\mathop{C}}\,-\overset{\begin{smallmatrix} H \\ | \end{smallmatrix}}{\mathop{N}}\,-\underset{|}{\overset{|}{\mathop{C}}}\,-\underset{\begin{smallmatrix} || \\ O \end{smallmatrix}}{\mathop{C}}\,-\]\[\overset{\begin{smallmatrix} H \\ | \end{smallmatrix}}{\mathop{N}}\,-\underset{|}{\overset{|}{\mathop{C}}}\,-\underset{\begin{smallmatrix} || \\ O \end{smallmatrix}}{\mathop{C}}\,-\overset{\begin{smallmatrix} H \\ | \end{smallmatrix}}{\mathop{N}}\,-\underset{|}{\overset{|}{\mathop{C}}}\,-\]
doneclear
D)
\[-\underset{|}{\overset{|}{\mathop{C}}}\,-\overset{\begin{smallmatrix} H \\ | \end{smallmatrix}}{\mathop{N}}\,-\underset{|}{\overset{|}{\mathop{C}}}\,-\underset{|}{\overset{|}{\mathop{C}}}\,-\overset{\begin{smallmatrix} O \\ || \end{smallmatrix}}{\mathop{C}}\,-\underset{\begin{smallmatrix} | \\ H \end{smallmatrix}}{\mathop{N}}\,-\underset{|}{\overset{|}{\mathop{C}}}\,-\underset{|}{\overset{|}{\mathop{C}}}\,-\overset{\begin{smallmatrix} H \\ | \end{smallmatrix}}{\mathop{N}}\,\]\[-\underset{\begin{smallmatrix} || \\ O \end{smallmatrix}}{\mathop{C}}\,-\underset{|}{\overset{|}{\mathop{C}}}\,-\underset{|}{\overset{|}{\mathop{C}}}\,-\]
question_answer68) Which is the best description of behaviour of bromine in the reaction given below? \[{{H}_{2}}O+B{{r}_{2}}\xrightarrow[{}]{{}}HBr+HOBr\]
question_answer72) The standard emf of a galvanic cell involving cell reaction with\[n=2\]is found to be 0.295 V at\[25{}^\circ C\].The equilibrium constant of the reaction would be
question_answer80) If the bond energies of\[H-H,Br-Br\]and \[H-Br\]are 433, 192 and\[364\text{ }kJ\text{ }mo{{l}^{-1}}\]respectively, then\[\Delta H{}^\circ \]for the reaction \[{{H}_{2}}(g)+B{{r}_{2}}(g)\xrightarrow[{}]{{}}2HBr(g)\]is
question_answer81) A compound formed by elements X and Y crystallizes in a cubic structure in which the X atoms are at the comers of a cube and the Y atoms are at the face-centres. The formula of the compound is
question_answer82) Standard enthalpy and standard entropy changes for the oxidation of ammonia at 298K are\[-382.64kJ\,mo{{l}^{-1}}\]and\[-145.6\text{ }J{{K}^{-1}}mo{{l}^{-2}}\] respectively. Standard Gibbs energy change for the same reaction at 298K is
question_answer84) The radioactive isotope\[_{27}^{60}Co\]which is used in the treatment of cancer can be made by\[(n,\text{ }p)\]reaction. For this reaction the target nucleus is
question_answer87) Among\[{{[Ni{{(CO)}_{4}}]}^{2-}},{{[Ni{{(CN)}_{4}}]}^{2-}},{{[NiC{{l}_{4}}]}^{2-}}\]species, the hybridisation states of the Ni atom are, respectively (At. no. of\[Ni=28\])
question_answer88) Among the following series of transition metal ions, the one in which all metal ions have\[3{{d}^{2}}\] \[3{{d}^{2}}\]electronic configuration is (At. no.: \[Ti=22;\] \[V=23;\text{ }Cr=24;\text{ }Mn=25\])
question_answer89) The rapid change of pH near the stoichiometric point of an add base titration is the basis of indicator detection, pH of the solution is related to ratio of the concentrations of the conjugate acid (HIn) and base\[(I{{n}^{-}})\]forms of the indicator given by the expression
question_answer91) Considering\[{{H}_{2}}O\]as weak field ligand, the number of unpaired electrons in\[{{[Mn{{({{H}_{2}}O)}_{6}}]}^{2+}}\]will be (At. no. of \[Mn=25\])
question_answer100) The frequency of radiation emitted when the electron falls from\[n=4\]to\[n=1\]in a hydrogen atom will be (Given ionisation energy of\[H=\]\[2.18\text{ }{{10}^{-18}}J\text{ }ato{{m}^{-1}}\]and\[h=6.625\times {{10}^{-34}}Js\])
question_answer106) The work done during the expansion of a gas from a volume of\[\text{4 }d{{m}^{3}}\]to \[6\text{ }d{{m}^{3}}\]against a constant external pressure of 3 atm, is
question_answer109) The molecular formula of diphenyl methane is \[{{C}_{13}}{{H}_{12}}\] How many structural isomers are possible when one of the hydrogen is replaced by a chlorine atom?
question_answer110) A solid compound X on heating gives\[C{{O}_{2}}\]gas and a residue. The residue mixed with water forms on passing an excess of\[C{{O}_{2}}\]through T in water, a clear solution, Z is obtained. On boiling Z compound X is reformed. The compound X is
question_answer112) When\[{{H}_{2}}S\]gas is passed in a metal sulphate solution in presence of\[N{{H}_{4}}OH,\]a white precipitate is produced. The metal is identified as
question_answer117) \[A+B=C+D\]. If initially the concentration of A and B are both equal but at equilibrium concentration of D will be twice of that of, A then what will be the equilibrium constant of reaction?
question_answer121) One of the parents of a cross has mutation in its mitochondria. In that cross, that parent is taken as a male. During segregation of\[{{F}_{2}}\] progenies that mutation is found in
question_answer139) Blood analysis of a patient reveals an unusually high quantity of carboxyhaemoglobin content. Which of the following conclusions is most likely to be correct? The patient has been in hailing polluted air containing usually high content of
question_answer152) One set of a plant was grown at 12 hours day and 12 hours night period cycles and it flowered while in the other set night phase was interrupted by flash of light and it did not produce flower. Under which one of the following categories will you place this plant?
question_answer157) During transcription, the nucleotide sequence of the DNA strand that is being coded is ATACG, then the nucleotide sequence in the mRNA would be
question_answer172) A male human is heterozygous for autosomal genes A and B and is also hemizygous for haemophilic gene h. What proportion of his sperms will be abh?
question_answer182) If you are provided with root-tips of onion in your class and are asked to count the chromosomes, which of the following stages can you most conveniently look into?
question_answer206) Directions: Choose the alternative which best expresses the meaning of the idiom/phrase given in italics in the sentence. He will win this election hands down.
question_answer207) Directions: Choose the alternative which best expresses the meaning of the idiom/phrase given in italics in the sentence. He has been working on and off for several years on this research project.
question_answer208) Directions: Choose the alternative which best expresses the meaning of the idiom/phrase given in italics in the sentence. He was a king who ruled his subjects with a high hand.
question_answer209) Directions: Choose the alternative which best expresses the meaning of the idiom/phrase given in italics in the sentence. It will be wise on your part to let the bygones be bygones.
question_answer210) Directions: Choose the alternative which best expresses the meaning of the idiom/phrase given in italics in the sentence. He always says that he will help, but when it comes to the crunch, he does nothing.
question_answer231) Directions: In each of the following questions there occurs is a specific relations. Fill the vacant space according to that relation. Prophecy : Future :: Regret
question_answer232) Directions: In each of the following questions there occurs is a specific relations. Fill the vacant space according to that relation. Sikhs : Gurudwara : : Jews
question_answer233) Directions: In each of the following questions there occurs is a specific relations. Fill the vacant space according to that relation. Teeth : Pyorrhea : : Skin
question_answer234) Directions: In each of the following questions there occurs is a specific relations. Fill the vacant space according to that relation. Pork : Pig : : Venison
question_answer235) Directions: In each of the following questions there occurs is a specific relations. Fill the vacant space according to that relation. Homicide : Human : : Fratricide
question_answer236) Directions: In each of the following questions there occurs is a specific relations. Fill the vacant space according to that relation. Horse : Jockey : : Car
question_answer237) Directions: In each of the following questions there occurs is a specific relations. Fill the vacant space according to that relation. Squint: Eye : : Squeeze
question_answer238) Directions: In each of the following questions there occurs is a specific relations. Fill the vacant space according to that relation. Hawana : Cuba : : Beirut
question_answer239) Directions: In each of the following questions there occurs is a specific relations. Fill the vacant space according to that relation. Wool: Sheep : : Mohair
question_answer240) Directions: In each of the following questions there occurs is a specific relations. Fill the vacant space according to that relation. Cunning : Fox : : Timid