question_answer2) A stone is dropped from a height h. It hits the ground with a certain momentum p. If the same stone is dropped from a height 100% more than the previous height, the momentum when it hits the ground will change by
question_answer3) A car of mass m is moving on a level circular track of radius R. If \[{{\mu }_{s}}\], represents the static friction between the road and tyres of the car, the maximum speed of the car in circular motion is given by
question_answer4) A car of mass m starts from rest and accelerates so that the instantaneous power delivered to the car has a constant magnitude \[{{p}_{0}}.\]The instantaneous velocity of this car is proportional to
question_answer5) A circular platform is mounted on a frictionless vertical axle. Its radius R = 2 m and its moment of inertia about the axle is\[200\text{ }kg\text{ }{{m}^{2}}\]. It is initially at rest. A 50 kg man stands on the edge of the platform and begins to walk along the edge at the speed of 1 \[m{{s}^{-1}}\] relative to the ground. Time taken by the man to complete one revolution is
question_answer7) Three masses are placed on the x-axis: 300 g at origin, 500 g at x = 40 cm and 400 g at x = 70 cm. The distance of the centre of mass from the origin is
question_answer8) If \[{{V}_{e}}\] is escape velocity and \[{{V}_{o}}\] is orbital velocity of a satellite for orbit close to the Earth's surface, then these are related by
question_answer9) Which one of the following plots represents the variation of gravitational field on a particle with distance r due to a thin spherical shell of radius R? (r is measured from the centre of the spherical shell).
question_answer10) A slab of stone of area of \[0.36{{m}^{2}}\] and thickness 0.1 m is exposed on the lower surface to steam at\[100{}^\circ C\]. A block of ice at \[0{}^\circ C\] rests on the upper surface of the slab. In one hour 4.8 kg of ice is melted. The thermal conductivity of slab is (Given latent heat of fusion of ice \[=3.36\times {{10}^{5}}J\,k{{g}^{-1}}\])
question_answer11) An ideal gas goes from state A to state B via three different processes as indicated in the p-V diagram If \[{{Q}_{1}},{{Q}_{2}},{{Q}_{3}}\] indicate the heat absorbed by the gas along the three processes and \[\Delta {{U}_{1}},\Delta {{U}_{2}},\Delta {{U}_{3}}\]indicate the change in internal energy along the three processes respectively, then
question_answer12) The equation of a simple harmonic wave is given by\[y=3\sin \frac{\pi }{2}(50t-x),\]where x and y are in metres and t is in seconds. The ratio of maximum particle velocity to the wave velocity is
question_answer13) A train moving at a speed of 220 \[m{{s}^{-1}}\]towards a stationary object, emits a sound of frequency 1000 Hz. Some of the sound reaching the object gets reflected back to the train as echo. The frequency of the echo as detected by the driver of the train is (speed of sound in air is 330 \[m{{s}^{-1}}\])
question_answer14) A parallel plate capacitor has a uniform electric field E in the space between the plates. If the distance between the plates is d and area of each plate is A, the energy stored in the capacitor is
question_answer15) Two metallic spheres of radii 1 cm and 3 cm are given charges of \[-1\times {{10}^{-2}}C\] and \[5\times {{10}^{-2}}C,\]respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is
question_answer17) A cell having an emf e and internal resistance r is connected across a variable external resistance R. As the resistance R is increased, the plot of potential difference V across R is given by
question_answer18) A proton carrying 1 MeV kinetic energy is moving in a circular path of radius R in uniform magnetic field. What should be the energy of an \[\text{ }\!\!\alpha\!\!\text{ -}\]particle to describe a circle of same radius in the same field?
question_answer19) A magnetic needle suspended parallel to a magnetic field requires \[\sqrt{\text{3}}\,\text{J}\] of work to turn it through\[60{}^\circ \]. The torque needed to maintain the needle in this position will be
question_answer20) The instantaneous values of alternating current and voltages in a circuit are given as \[i=\frac{1}{\sqrt{2}}\sin (100\pi t)\]ampere \[e=\frac{1}{\sqrt{2}}\sin (100\pi t+\pi /3)\] volt The average power in Watts consumed in the circuit is
question_answer21) In a coil of resistance \[10\,\Omega \], the induced 2 current developed by changing magnetic flux through it, is shown in figure as a function of time. The magnitude of change in flux through the coil in weber is
question_answer22) The ratio of amplitude of magnetic field to the amplitude of electric field for an electromagnetic wave propagating in vacuum is equal to
A)
the speed of light in vacuum
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B)
reciprocal of speed of light in vacuum
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C)
the ratio of magnetic permeability to the electric susceptibility of vacuum
question_answer23) For the angle of minimum deviation of a prism to be equal to its refracting angle, the prism must be made of a material whose refractive index
question_answer24) A rod of length 10 cm lies along the principal axis of a concave mirror of focal length 10 cm in such a way that its end closer to the pole is 20 cm away from the mirror. The length of the image is
question_answer25) If the momentum of an electron is changed by p, then the de-Broglie wavelength associated with it changes by 0.5%. The initial momentum of electron will be
question_answer26) Two radiations of photon energies 1 eV and 2.5 eV, successively illuminate a photosensitive metallic surface of work function 0.5 eV. The ratio of the maximum speeds of the emitted electrons is
question_answer27) The transition from the state n = 3 to n = 1 in a hydrogen like atom results in ultraviolet radiation. Infrared radiation will be obtained in the transition from
question_answer28) The half-life of a radioactive nucleus is 50 days. The time interval \[({{t}_{2}}-{{t}_{1}})\] between the time t2 when \[\frac{2}{3}\] of it has decayed and the time t1 when \[\frac{1}{3}\] of it had decayed is
question_answer29) The input resistance of a silicon transistor is 100 \[\Omega \]. Base current is changed by 40 \[\mu A\] which results in a change in collector current by 2 mA. This transistor is used as a common-emitter amplifier with a load resistance of 4 k\[\Omega \]. The voltage gain of the amplifier is
question_answer31) Given that the equilibrium constant for the reaction,\[2S{{O}_{2}}(g)+{{O}_{2}}(g)2S{{O}_{3}}(g)\]has a value of 278 at a particular temperature. What is the value of the equilibrium constant for the following reaction at the same temperature?\[S{{O}_{3}}(g)S{{O}_{2}}(g)+\frac{1}{2}{{O}_{2}}(g)\]
question_answer32) Structure of a mixed oxide is cubic close packed (ccp). The cubic unit cell of mixed oxide is composed of oxide ions. One fourth of the tetrahedral voids are occupied by divalent metal A and the octahedral voids are occupied by a monovalent metal B. The formula of the oxide is
question_answer33) Given the reaction between two gases represented by \[{{A}_{2}}\] and \[{{B}_{2}}\] to give the compound AB(g).\[{{A}_{2}}(g)+{{B}_{2}}(g)2AB(g)\] At equilibrium, the concentration of \[{{A}_{2}}=3.0\times {{10}^{-3}}M\] of\[{{B}_{2}}=4.2\times {{10}^{-3}}M\] of\[AB=2.8\times {{10}^{-3}}M\]If the reaction \[{{527}^{o}}C\]takes place in a sealed vessel at\[{{527}^{o}}C\], then the value of K, will be
question_answer34) Activation energy \[({{E}_{a}})\] and rate constants (\[{{k}_{1}}\] and\[{{k}_{2}}\]) of a chemical reaction at two different temperatures T1 and \[{{T}_{2}}\]) are related by
question_answer39) Vapour pressure of chloroform \[(CHC{{l}_{3}})\] and dichloromethane \[(C{{H}_{2}}C{{l}_{2}})\] at \[{{25}^{o}}C\] are 200 mmHg and 41.5 mmHg respectively. Vapour pressure of the solution obtained by mixing 25.5 g of \[CHC{{l}_{3}}\] and 40 g of\[C{{H}_{2}}C{{l}_{2}}\]at the same temperature will be (Molecular mass of \[CHC{{l}_{3}}=119.5\,u\]and molecular mass of
question_answer40) Molar conductivities \[(\Lambda _{m}^{o})\] at infinite dilution of \[NaCl,\]\[HCl\]and \[C{{H}_{3}}COONa\] are 126.4, 425.9 and\[91.0\]\[S\]\[c{{m}^{2}}\]\[mo{{l}^{-1}}\]respectively. \[\Lambda _{m}^{o}\] for \[C{{H}_{3}}COOH\] will be
question_answer41) For real gases van der Waals' equation is. Written as\[\left( p+\frac{a{{n}^{2}}}{{{V}^{2}}} \right)(V-nb)=n\,RT\]written where, a and b are van der Waals' constants. Two sets of gases are\[\text{I}\text{.}{{\text{O}}_{\text{2}}}\text{,C}{{\text{O}}_{\text{2}}}\text{,}{{\text{H}}_{\text{2}}}\]and He \[\text{II}\text{.C}{{\text{H}}_{4}}\text{,}{{\text{O}}_{\text{2}}}\]and\[{{\text{H}}_{\text{2}}}\] The gases given in set-I in increasing order of 'b' and gases given in set-II in decreasing order of ' a', are arranged below. Select the correct order from the following,
question_answer42) Equal volumes of two monoatomic gases, A and B, at same temperature and pressure are mixed. The ratio of specific heats\[(cp/cv)\] of the mixture will be
question_answer43) Red precipitate is obtained when ethanol solution of dimethylglyoxime is added to ammonia cal Ni(II). Which of the following statements is not true?
question_answer45) (\[{{\Delta }_{o}}=\] crystal field splitting energy in an octahedral field, P = electron pairing energy) Which one of the following does not correctly represent the correct order of the property indicated against it?
A)
\[Ti<V<Cr<Mn\]: increasing number of oxidation states
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B)
\[T{{i}^{3+}}<{{V}^{3+}}<C{{r}^{3+}}<M{{n}^{3+}}\]: increasing magnetic moment
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C)
\[Ti<V<Cr<Mn\]: increasing melting points
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D)
\[Ti<V<Mn<Cr\]: increasing second ionisation enthalpy
question_answer46) Four successive members of the first series of the transition metals are listed below. For which one of them the standard potential \[({{E}^{o}}_{{{M}^{2+}}/M})\]positive sign?
question_answer52) The Gibbs' energy for the decomposition of\[A{{l}_{2}}{{O}_{3}}\] at \[{{500}^{o}}C\] is as follows \[\frac{2}{3}A{{l}_{2}}{{O}_{3}}\xrightarrow[{}]{{}}\frac{4}{3}Al+{{O}_{2}};\]\[{{\Delta }_{r}}G=+\,960\,kJ\,mo{{l}^{-1}}\] The potential difference needed for the electrolytic reduction of aluminium oxide (\[A{{l}_{2}}{{O}_{3}}\]) at \[{{500}^{o}}C\] is at least
question_answer56) An organic compound \[({{C}_{3}}{{H}_{9}}N)\] , when treated with nitrous acid, gave an alcohol and \[{{N}_{2}}\] gas was evolved. [A] on warming with \[CHC{{l}_{3}}\] and caustic potash gave (C which on reduction gave iso-propylmethylamine. Predict the structure of .
question_answer61) How many organisms in the list given below are autotrophs? Lactobadllus, Nostoc, Chara, Nitrosomonas, Nitrobacter, Streptomyces, Saccharomyces, Trypdnosoma, Porphyra, Wolffia.
question_answer71) How many plants in-the list given below have marginal placentation? Mustard, Gram, Tulip, Asparagus, Arhar, Sunnhemp, Chilli, Colchicine, Onion, Moong, Pea, Tobacco, Lupin
question_answer93) Which one of the following organisms is scientifically correctly named, correctly printed according to the International Rules of Nomenclature and correctly described?
A)
Musca domestica-The common house lizard, a reptile
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B)
Plasmodium falciparum-A protozoan pathogen causing the most serious type of malaria
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C)
Felis tigris-The Indian tiger, well protected in Gir forests
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D)
E.coli-Full name Entamoeba coli, a commonly occurring bacterium in human intestine
question_answer95) Identify the meiotic stage in which the- homologous chromosomes separate while the sister chromatids remain associated at their centromeres
question_answer99) Represented below is the inheritance pattern of a certain type of traits in humans. Which one of the following conditions could be an example of this pattern?
question_answer100) Given below is the diagrammatic sketch of a certain type of connective tissue. Identify the parts labelled A, B, C and D, and select the right option about them
question_answer101) Which one of the following options gives the correct categorisation of six animals according to the type of nitrogenous wastes (A, B, C), they give out?
question_answer105) The four sketches (I, II, III and IV) given- below, represent four different types of animal tissues. Which one of these is correctly identified in the options given, along with its correct location and function?
question_answer108) Identify the human developmental stage shown below as well as the related right place of its occurrence in a normal pregnant woman and select the right option for the two together
question_answer118) The figure below shows three steps (I, II, III) of Polymerase Chain Reaction (PCR). Select the option giving correct identification together with what it represents?
A)
B-Denaruration at a temperature of about \[98{}^\circ C\] separating the two DNA strands
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B)
A-benaturation at a temperature of about \[50{}^\circ C\]
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C)
C-Extension in the presence of heat stable DNA polymerase