question_answer3) A convex lens made of glass has focal length 0.15 m in air. If the refractive index of glass is \[\frac{3}{2}\] and that of water is \[\frac{4}{3}\], the focal length of lens when immersed in water is
question_answer5) Three resistors 1\[\Omega \], 2\[\Omega \] and 3\[\Omega \] are connected to form a triangle. Across 3\[\Omega \] resistor a 3 V battery is connected. The current through 3\[\Omega \] resistor is
question_answer7) In a radioactive disintegration, the ratio of initial number of atoms to the number of atoms present at an instant of time equal to its mean life is
question_answer8) A ray of light is incident on a surface of glass slab at an angle\[45{}^\circ \]. If the lateral shift produced per unit thickness is \[\frac{1}{\sqrt{3}}\]m, the angle of refraction produced is
question_answer15) Two solid pieces, one of steel and the other of aluminium when immersed completely in water have equal weights. When the solid pieces are weighed in air
A)
the weight of aluminium is half the weight of steel
question_answer20) A body of mass m moving along a straight line covers half the distance with a speed of 2 ms-1. The remaining half of the distance is covered in two equal time intervals with a speed of 3 ms-1 and 5 ms-1 respectively. The average speed of the particle for the entire journey is
question_answer22) A body of mass 0.05 kg is observed to fall with an acceleration of\[9.5\text{ }m{{s}^{-2}}\]. The opposing force of air on the body is \[\left( g=9.8\text{ }m{{s}^{-2}} \right)\]
question_answer27) Two rectangular blocks A and B of masses 2 kg and 3 kg respectively are connected by a spring of spring constant 10.8 Nm-1 and are placed on a frictionless horizontal surface. The block A was given an initial velocity of 0.15 ms-1 in the direction shown in the figure. The maximum compression of the spring during the motion is
question_answer29) The resistance of a wire at 300 K is found to be 0.3 Sl. If the temperature coefficient of resistance of wire is\[1.5\times {{10}^{-3}}{{K}^{-1}}\], the temperature at which the resistance becomes 0.6\[\Omega \] is
question_answer31) Two luminous point sources separated by a certain distance are at 10 km from an observer. If the aperture of his eye is \[2.5\times {{10}^{-3}}\]m and the wavelength of light used is 500 nm, the distance of separation between the point sources just seen to be resolved is
question_answer32) A door 1.6 m wide requires a force of 1 N to be applied at the free end to open or close it. The force that is required at a point 0.4 m distance from the hinges for opening or closing the door is
question_answer33) \[0.1{{m}^{3}}\] of water at \[80{}^\circ C\]is mixed with \[0.3\text{ }{{m}^{3}}\] of water at\[60{}^\circ C\]. The final temperature of the mixture is
question_answer38) Horizontal tube of non-uniform cross-section has radii of 0.1 m and 0.05 m respectively at M and N. For a streamline flow of liquid the rate of liquid flow is
question_answer39) A resistor and a capacitor are connected in series with an AC source. If the potential drop across the capacitor is 5 V and that across resistor is 12 V, then applied voltage is
question_answer41) The angle of minimum deviation for an incident light ray on an equilateral prism is equal to its refracting angle. The refractive index of its material is
question_answer43) A stationary point source of sound emits sound uniformly in all directions in a non-absorbing medium. Two points P and Q are at a distance of 4 m and 9 m respectively from the source. The ratio of amplitudes of the waves at P and Q is
question_answer44) A galvanometer of resistance 240\[\Omega \] allows only 4% of the main current after connecting a shunt resistance. The value of the shunt resistance is
question_answer46) \[y=3\sin \pi \left( \frac{t}{2}-\frac{x}{4} \right)\]represents an equation of a progressive wave, where t is in second and \[x\] is in metre. The distance travelled by the wave in 5 s is
question_answer48) An \[\alpha \]-particle of mass 6.4 x 10-27 kg and charge 3.2 x 10-19 C is situated in a uniform electric field of 1.6 x 105 Vm-1. The velocity of the particle at the end of 2 x 10-2 m path when it starts from rest is
question_answer49) A cylindrical tube open at both the ends has a fundamental frequency of 390 Hz in air. If \[\frac{1}{4}\]th of the tube is immersed vertically in water the fundamental frequency of air column is
question_answer52) A parallel beam of light is incident on a converging lens parallel to its principal axis. As one moves away from the lens on the other side of the principal axis, the intensity of light
question_answer54) A coil of n number of turns is wound tightly in the form of a spiral with inner and outer radii a and b respectively. When a current of strength \[I\]is passed through the coil, the magnetic field at its centre is
question_answer56) The electric potential at any point x, y, z in metres is given by\[V=\text{ }3{{x}^{2}}\]. The electric field at a point (2, 0, 1) is
question_answer57) Youngs double slit experiment gives interference fringes of width 0.3 mm. A thin glass plate made of material of refractive index 1.5 is kept in the path of light from one of the slits, then the fringe width becomes
question_answer58) Near a circular loop of conducting wire as shown in the figure an electron moves along a straight line. The direction of the induced current if any in the loop is
question_answer59) Hydrogen atom from excited state comes to the ground stage by emitting a photon of wavelength\[\lambda \]. If R is the Rydberg constant, the principal quantum number n of the excited state is
question_answer63) 2 g of a radioactive sample having half-life of 15 days was synthesised on 1st Jan 2009. The amount of the sample left behind on 1st March, 2009 (including both the days) is
question_answer64) For a chemical reaction \[A\to B\], the rate of the reaction is\[2\times {{10}^{-3}}\text{ }mol\text{ }d{{m}^{-3}}\text{ }{{s}^{-1}}\], when the initial concentration is \[0.05\text{ }mol\text{ }d{{m}^{-3}}\]. The rate of the same reaction is \[1.6\times {{10}^{-2}}\text{ }mol\text{ }d{{m}^{-3}}\text{ }{{s}^{-1}}\] when the initial concentration is \[0.1\text{ }mol\text{ }d{{m}^{-3}}\]. The order of the reaction is
question_answer66) The rate equation for a reaction \[A\to B\] is \[r=k{{[A]}^{0}}\] If the initial concentration of the reactant is a\[mol\text{ }d{{m}^{-3}}\], the half-life period of the reaction is
question_answer67) \[30cc\] of \[\frac{M}{3}HCl,\]\[20cc\]of \[\frac{M}{2}HN{{O}_{3}}\] and \[40cc\] of \[\frac{M}{4}NaOH\] solutions are mixed and the volume was made up to\[1\text{ }d{{m}^{3}}\]. The pH of the resulting solution is
question_answer68) An aqueous solution containing \[6.5g\]of \[NaCl\] of 90% purity was subjected to electrolysis. After the complete electrolysis, the solution was evaporated to get solid \[NaOH\]. The volume of 1 M acetic acid required to neutralise \[NaOH\] obtained above is
question_answer69) The standard electrode potential for the half-cell reactions are \[Z{{n}^{2+}}+2{{e}^{-}}\xrightarrow{{}}Zn;{{E}^{o}}=-0.76V\] \[F{{e}^{2+}}+2{{e}^{-}}\xrightarrow{{}}Fe;{{E}^{o}}=-0.44V\] The emf of the cell reaction, \[F{{e}^{2+}}+Zn\xrightarrow{{}}Z{{n}^{2+}}+Fe\] is
question_answer71) In the electrolysis of acidulated water, it is desired to obtain \[1.12cc\]of hydrogen per second under STP condition. The current to be passed is
question_answer73) Vapour pressure of pure A is 70 mm of \[Hg\] at \[{{25}^{o}}C\]. It forms an ideal solution with B in which mole fraction of A is \[0.8\]. If the vapour pressure of the solution is \[84mm\]of \[Hg\] at \[{{25}^{o}}C\], the vapour pressure of pure B at \[{{25}^{o}}C\] is
question_answer77) A compound of A and B crystallises in a cubic lattice in which A atoms occupy the lattice points at the corners of the cube. The B atoms occupy the centre of each face of the cube. The probable empirical formula of the compound is
question_answer84) An organic compound X is oxidised by using Acidified \[{{K}_{2}}C{{r}_{2}}{{O}_{7}}\]The product obtained reacts with phenyl hydrazine but does not answer silver mirror test. The possible structure of X is
question_answer85) The reaction involved in the oil of winter green test is salicylic acid \[\xrightarrow[Conc.\,{{H}_{2}}S{{O}_{4}}]{\Delta }\] product. The product is treated with \[N{{a}_{2}}C{{O}_{3}}\] solution. The missing reagent in the above reaction is
question_answer87) Arrange the following in the increasing order of their basic strengths \[C{{H}_{3}}N{{H}_{2}}\] , \[{{(C{{H}_{3}})}_{2}}NH\] , \[{{(C{{H}_{3}})}_{3}}N,N{{H}_{3}}\]
question_answer94) A body of mass x kg is moving with a velocity of \[100\text{ }m{{s}^{-1}}\]. Its de-Broglie wavelength is\[6.62\times {{10}^{-35}}m\]. Hence, x is \[(h=6.62\times {{10}^{-34}}Js)\]
question_answer99) A covalent molecule \[A{{B}_{3}}\] has pyramidal structure. The number of lone pair and bond pair of electron in the molecule are respectively
question_answer100) Excess of carbon dioxide is passed through \[50mL\]of \[0.5M\]calcium hydroxide solution. After the completion of the reaction, the solution was evaporated to dryness. The solid calcium carbonate was completely neutralised with 0.1 N hydrochloric acid. The volume of hydrochloric acid required is (Atomic mass of calcium = 40)
question_answer103) \[0.5mole\]of each of \[{{H}_{2}},S{{O}_{2}}\]and are kept in a container. A hole was made in the container. After 3 h, the order of partial pressures in the container will be
question_answer104) The enthalpy of formation of \[N{{H}_{3}}\] is. The enthalpy change for the \[-46kJ\,mo{{l}^{-1}}\] reaction \[2N{{H}_{3}}(g)\xrightarrow{{}}{{N}_{2}}(g)+3{{H}_{2}}(g)\] is
question_answer105) \[5moles\]of \[S{{O}_{2}}\] and 5 moles of \[{{O}_{2}}\] are allowed to react. At equilibrium, it was found that 60% of \[S{{O}_{2}}\] is used up. If the partial pressure of the equilibrium mixture is one atmosphere, the partial pressure of \[{{O}_{2}}\] is
question_answer106) \[2HI(g){{H}_{2}}(g)+{{I}_{2}}(g)\] The equilibrium constant of the above reaction is \[6.4\]at\[300K\]. If \[0.25\] mole each of \[{{H}_{2}}\] and \[12\]are added to the system, the equilibrium constant will be
question_answer118) The magnetic moment of a transition metal ion is \[\sqrt{15}\text{ }BM\]. Therefore, the number of unpaired electrons present in it, is
question_answer123) Both husband and wife have normal vision though their fathers were colorblind and mothers did not have any gene for colorblindness. The probability of their daughters becoming colorblind is
question_answer125) 2n = 16 in a primary spermatocyte, which is in metaphase of first meiotic division. What shall be the total number of chromatids in each of the secondary spermatocyte?
question_answer134) A man is admitted to a hospital. He is suffering from an abnormally low body temperature, loss of appetite and extreme thirst. His brain scan would probably show a tumour in
question_answer138) A person is suffering from frequent episodes of nasal discharge, nasal congestion, reddening of eyes and watery eyes. These are the symptoms of
question_answer141) The offspring produced from a marriage have only 0 or A blood groups. Of the genotypes given below, the possible genotypes of the parents would be
question_answer143) A plant has an androecium with monadelphous stamens, monothecous and reniform anthers. The corolla exhibits contorted aestivation. The plant could be
question_answer146) In an experiment demonstrating the evolution of oxygen in Hydrilla, sodium bicarbonate is added to water in the experimental set-up. What would happen if all other conditions are favourable?
A)
Amount of oxygen evolved decreases as carbon dioxide in water is absorbed by sodium bicarbonate
doneclear
B)
Amount of oxygen evolved increases as the availability of carbon dioxide increases
doneclear
C)
Amount of oxygen evolved decreases as the availability of carbon dioxide increases
doneclear
D)
Amount of oxygen evolved increases as carbon dioxide in water is absorbed by sodium bicarbonate
question_answer149) Match the compounds given in Column I with the number of carbon atoms present in them which are listed under Column II. Choose the answer which gives the correct combination of alphabets of the two columns.
question_answer152) Blood stains are found at the site of a murder. If DNA profiling technique is to be used for identifying the criminal, which of the following is ideal for use?
question_answer154) Match the names of the economically important plants (or their products) listed in with the families to which they belong given in Column II. Choose the answer which gives the correct combination of alphabets of the two columns.
question_answer156) A large quantity of fluid is filtered every day by the nephrons in the kidneys. Only about 1% of it is excreted as urine. The remaining 99% of the filtrate
question_answer161) Pollen grains of a plant whose 2n = 28 are cultured to get callus by tissue culture method. What would be the number of chromosomes in the cells of the callus?
question_answer162) A true breeding plant producing red flowers is crossed with a pure plant producing white flowers. Allele for red colour of flower is dominant. After selfing the plants of first filial generation, the proportion of plants producing white flowers in the progeny would be
question_answer164) The characteristic that is shared by urea, uric acid and ammonia is/are [A] They are nitrogenous wastes. [B] They all need very large amount of water for excretion. [C] They are all equally toxic. [D] They are produced in the kidneys.
question_answer165) RBC and a plant cell (with thick cell wall) are placed in distilled water. The solute concentration is the same in both the cells. What changes would be observed in them?
A)
Both plant cell and RBC would not undergo any change.
doneclear
B)
The RBC would increase in size and burst while the plant cell would remain about the same size.
doneclear
C)
The plant cell would increase in size and burst while the RBC would remain about the same size.
doneclear
D)
Both plant cell and RBC would decrease in size and collapse.
question_answer177) Palaeontologists unearthed a human skull during excavation. A small fragment of the scalp tissue was still attached to it. Only little DNA could be extracted from it. If the genes of the ancient man need to be analysed, the best way of getting sufficient amount of DNA from this extract is
question_answer180) The RER in the cell synthesized a protein which would be later used in building the plasma membrane. But it is observed that the protein in the membrane is slightly different from the protein made in the RER. The protein was probably modified in another cell organelle. Identify that organelle in the given diagram.