question_answer2) The minimum intensity of light perceived by the normal human eye is \[{{10}^{-9}}\text{Wb}{{\text{m}}^{-2}}.\]If the wavelength of light is 600 nm, then determine the number of photons entering the pupil in Is to see the object [area of \[\alpha \text{-}\]section of the pupil is \[{{10}^{-5}}{{\text{m}}^{2}}\]]
question_answer3) The minimum distance between the parallel planes of a crystal is 0.3 nm For the Bragg's scattering of X-ray of \[0.3\overset{o}{\mathop{A}}\,\], would be given by
question_answer5) A particle is moving along X-axis, whose acceleration is given by a = 3x -1, where x is the location of the particle. At t = 0, if the particle is at rest \[x=\frac{2}{3}\]the distance covered by the particle in 4s is
question_answer6) There are two hollow spherical conductors A and B are given below. Points M and N can be connected by conductor wire. Initially (before the connection of points M and N) conductor B is neutral, while charge appeared on conductor A is q. After connecting the spheres, the potential of sphere B is
question_answer7) A body of mass 2 kg moving with a velocity of 6 m/s strikes in elastically another body of same mass at rest. The amount of heat evolved is
question_answer9) Two solenoids A and B are coaxially place as shown in figure below. The radius of inner and outer solenoids are \[{{R}_{1}}\]and \[{{R}_{2}}\] respectively and the numbers of turns per unit length are \[{{N}_{1}}\] and \[{{N}_{2}}\] respectively. Consider a length \[l\]of each solenoids, calculate the mutual inductance between them.
question_answer10) Four particles of mass 2 kg, 3 kg, 4 kg and 8 k) are situated at the corners of a square of side length 2m, the centre of mass may be given as
question_answer11) For the bob of a pendulum having length, the minimum horizontal speed at the bottom point of the circle, so that the particle completes the verticle circle, is
question_answer12) In order to balance a see-saw of total length 10.0 m, two kids weighing 20 kg and 40 kg are 'sitting at an end and at a distance x from the fulcrum at the centre, respectively. The value x (in cm) is
question_answer13) At what distance from the centre of the moon, the intensity of gravitational field will be zero? Take masses of earth and moon as \[5.98\times {{10}^{2r}}kg\] and \[7.35\times {{10}^{22}}kg\]respectively and distance between moon and earth is \[3.85\times {{10}^{8}}m.\]
question_answer14) A particle is executing SHM .with amplitude A, along X-axis. Initially the particle is at \[x=\frac{A}{2}\], while moves along + X-direction. If the equation for the oscillation is given by \[x=A\sin \]\[(\omega t+\delta ),\]then \[\delta \]is
question_answer16) The liquid arms of an U-tube is shown in figure below. The shaded part represents the mercury (specific gravity 13.6) and other liquid is water. If the difference between height of mercury in either column is 2 cm, then height of water column is
question_answer17) A uniform rod weighing w, cross-sectional area are a and length l is hanging from the ceiling of a room. The Young's modules of material is V. The elongation of the rod is
question_answer18) The average of power transmitted through a given point on a string supporting sine wave is 0.2 W, while the amplitude of wave is \[2\times {{10}^{3}}m.\] If the amplitude of wave is \[3\times {{10}^{-3}}m,\]then average power transmitted will be
question_answer19) The speed of a transverse wave going on a wire having length 50 cm and mass 5.0 g is 80 \[m{{s}^{-1}}\]The tension developed in the wire will be (approx)
question_answer21) A parallel beam of a monochromatic light of wavelength 900 nm passes through a long slit of width 0.4 mm. The angular divergence in which most of the light is diffracted, is
question_answer22) A glass cube having edge 4 cm is kept on a printed page. If the refractive index of glass material is 1.5, then by what amount will the printed letters appear to be shifted, while viewed from the top?
question_answer23) Two light emitting sources of wavelength 500 nm are separated by a distance 2.2 x \[{{10}^{2}}\] cm. A detector can be moved on the line \[{{S}_{1}}{{S}_{2}}\] is perpendicular to \[{{S}_{1}}{{S}_{2}}\] as shown in figure below. The minimum and maximum path difference at the detector as it is moved along the line\[{{S}_{1}}P\]are (respectively)
question_answer24) The figure shows a thin lens with point \[{{C}_{1}}\]and \[{{C}_{2}}\] as the centres of curvature. The focal length of lens will be (refractive index = 1.5)
question_answer25) A magnifier (lens) has the focal length 4.0 cm. If a small object is placed at a distance 3.6 cm from the magnifier the lens and angular magnifications will respectively be
question_answer26) The reading of a barometer on a steel scale is 75 cm, while the room temperature is 30°C. The linear and volumetric expensions for steel and mercury are \[1.2\times {{10}^{-5}}^{o}{{C}^{-1}}\]and \[1.8\times {{10}^{-4}}^{o}{{C}^{-1}}\]\[(\gamma ),\] respectively. The atmospheric pressure can be obtained as
question_answer27) A crown glass prism is combined with flintone to produce a hybrid optical appratus in such a way that the mean by passes undeviated. If crown prism is of angle 5°, then angle of the flint glass prism will be (for crown and flint glasses the refractive indices are 1.517 and 1.620, respectively).
question_answer28) What will be the mass of water vapour per cubic metre of air at temperature 300 K and relative humidity 25%? The saturation vapour pressure at 300 K is 3.6 kPa and gas constant is \[R=8.3J{{K}^{-1}}\]
question_answer29) A vessel containing 100 g water is thermally isolated at 0°C. The air above the water is pumped out, some of the water freezes and some evaporates at 0°C itself. Mass is left inside the vessel is. [latent heat of vaporisation of water at 0°C \[=2.1\times {{10}^{6}}J\,k{{g}^{-1}}\] latent heat of fusion of ice\[=3.36\times {{10}^{5}}J\,k{{g}^{-1}}\]]
question_answer31) If\[{{I}_{1}}\]and \[{{I}_{2}}\]be the moment of inertia of two bodies of identical geometrical shape, the first is made of aluminium and second of iron, then
A)
\[{{l}_{1}}<{{l}_{2}}\]
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B)
\[{{l}_{1}}={{l}_{2}}\]
doneclear
C)
\[{{l}_{1}}>{{l}_{2}}\]
doneclear
D)
relation between \[{{l}_{1}}\] and \[{{l}_{2}}\] depends on the centrashapes of the bodies
question_answer32) A heat engine operates between a cold reservoir at temperature\[{{T}_{2}}\] = 250 K and hot reservoir at temperature \[{{T}_{1}}\] It takes 150 J of heat from the hot reservoir and delivers 100 J of heat to cold reservoir in a cycle. The minimum temperature of the reservoir would be
question_answer33) In a Young's double slit experiment width of one slit is doubled that for another. If the amplitude of light coming from a slit is proportional to the width of the slit, then what will be the ratio of maximum to minimum intensity in the interference pattern?
question_answer35) A partly hanging unifom chain of lenght L is resting on a rough horizontal table. I is the maximum possible length that can hung in equilibrium. The coefficient of friction between the chain and table is
question_answer37) A spherical portion is removed from a solid sphere having a charge distribution uniformly in its volume. The electric field inside the emptied space is
question_answer38) A concave mirror of focal length and produces an image n times the size of the object. If the image is real one, then the distance of the object from the mirror is
question_answer42) If 5% of the energy supplied to a bulb is radiated as visible light, how many quanta are emitted per second by a 100 W lamp? Suppose, visible light is of wavelength \[5.6\times {{10}^{-5}}cm.\]
question_answer45) There are n bullets fired in 1 s by a gun. The mass of each of the bullets is m. If the speed of each of the bullets is v the average force of the recoil is
question_answer46) The specific resistivity p of a circular wire of radius r, resistance R and length l is given by \[\rho \frac{\pi {{r}^{2}}R}{l}\]Given, \[r=(324\pm 0.02)cm\] \[R=(30\pm 1)\Omega \]and\[l=(4.80\pm 0.01)cm\] The percentage error in \[\rho \] is nearly
question_answer47) An electric kettle boils some water in 16 min. Due to some defect, it becomes necessary to remove 10% turns of heating coil of the kettle. Now, how much time will it take to boil the same amount of water?
question_answer48) A particle having charge q and mass m starts moving from the origin under the action of an electric field \[E={{E}_{0}}L\]and \[B={{B}_{0}}I\]with a velocity\[v={{v}_{0}}\hat{j}.\]The speed of particle will becomes \[\frac{\sqrt{5}}{2}{{v}_{0}}\]after a time
question_answer49) A galvanometer of resistance \[20\Omega \]shows a deflection of 10 divisions. When current of 1 mA is passed through it. If a shunt of \[4\Omega \] is connected and there are 50 divisions on the scale, the range of the galvanometer is
question_answer50) Two short bar magnets with magnetic moments 400 Wb-A \[c{{m}^{2}}\]and 800 Wb-A\[c{{m}^{2}}\]are placed with their axis in the same straight line with similar poles facing each other and with their centres at 20 cm from each other. Then, the force of repulsion is
question_answer51) The molar internal energy of a gas at temperature T is\[{{U}_{m}}\] [T]. The molar internal energy at T = 0 is\[{{U}_{m}}\] (0). The correct expression that relates these two with appropriate contributions is
question_answer54) Addition of 1.0 g of a compound to 10 g of water .increases the boiling point by 0.3°C. The amount of compound needed to prepare a 500 mL of 0.1 solution is [Given: assume negligible dissociation or association of the compound, boiling point constant \[{{k}_{b}}\] of water\[=0.513kg\,mo{{l}^{-1}}\]]
question_answer56) The d-electron configuration of\[C{{r}^{2+}},M{{n}^{2+}},F{{e}^{2+}}\] and\[C{{o}^{2+}}\] are \[{{d}^{4}},{{d}^{5}},{{d}^{6}}\]and\[{{d}^{7}}\] respectively. Which one of the following will exhibit minimum paramagnetic behaviour? \[\left[ At.no.Cr=24,Mn=25,Fe=26,Co=27 \right]\]
question_answer57) Equivalent conductance of\[BaC{{1}_{2,}}{{H}_{2}}S{{O}_{4}}\], and \[HCl\] are \[{{x}_{1,}}{{x}_{2}}\] and \[{{x}_{3}}\]\[Sc{{m}^{2}}\]\[equi{{v}^{-2}}\] at infinite dilution, if specific conductance of saturated \[BaS{{O}_{4}}\] solution is \[y\,S\,c{{m}^{-1}}\]then \[{{K}_{sp}}\] of\[BaS{{O}_{4}}\] is
question_answer62) An electric current of 0.965 ampere is passed for 2000 s through a solution containing \[{{[Cu{{(C{{H}_{3}}CN)}_{4}}]}^{+}}\] and metallic copper is deposits d at the cathode. The amount of Cu deposited is
question_answer64) The soldiers of Napolean army while at Alps during freezing winter suffered a serious problem as regards to the tin buttons of their uniforms. White metallic tin buttons got converted to grey powder. This transformation is related to
A)
a change in the crystalline structure of tin
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B)
an interaction with nitrogen of the air at very low temperature
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C)
a change in the partial pressure of oxygen in the air
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D)
an interaction with water vapour contained in the humid air
question_answer65) In a fee arrangement or P and Q, where f atoms are at the corners of the unit cell, Q atoms at the face centres and two atoms are missing from two corners in each unit cell, then the formula of the compound is
question_answer66) A system undergoes two cyclic processes I and II. Process I is reversible and process II is irreversible. The correct statement relating to the two processes is
A)
\[\Delta S\] (for process I) = 0, while \[\Delta S\] (for process II) \[\ne 0\]
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B)
\[{{q}_{cycle}}=0\] for process I and \[{{q}_{cycle}}\ne 0\] for process II
doneclear
C)
more heat can be converted to work in process I than in process II
doneclear
D)
more work can be converted to heat in process I than in process II
question_answer67) In the extraction of metals from their ores, which one of the following reduction methods can bring about a non-spontaneous reduction?
question_answer68) The molar conductivity of 0.009 M aqueous solution of a weak acid (HA) is \[\text{0}\text{.005}\,\text{S}\,{{\text{m}}^{\text{2}}}\,\text{mo}{{\text{l}}^{\text{-1}}}\]and the limiting molar conductivity of HA is \[\text{0}\text{.005}\,\text{S}\,{{\text{m}}^{\text{2}}}\,\text{mo}{{\text{l}}^{\text{-1}}}\]at 298 K. Assuming activity coefficients to be unity, the acid dissociation constant \[({{K}_{a}})\] of HA at this temperature is
question_answer70) The work done during the free expension of 1 mole of an ideal gas at 27°C is twice of its original volume is Given \[RT=2494\,\text{J mo}{{\text{l}}^{\text{-1}}}\text{(ln}2=0.7,\log 2=0.3)\]
question_answer72) The emf of the cell,\[Pt|C{{e}^{4+}}(90%),C{{e}^{3+}}(10%)|\]normal calomel electrode is 1.464 V at 25°C. Find the value of equilibrium constant of the reaction: \[2C{{e}^{3+}}+2{{H}^{+}}\xrightarrow[{}]{{}}2C{{e}^{4+}}+{{H}_{2}}\] The electrode potential of the normal calomel electrode is 0.28 V.
question_answer73) The correct order of dipole moments \[(\mu )\]of the following compounds, is 1.\[C{{H}_{3}}C{{H}_{2}}C{{H}_{2}}CHO\] 2.\[C{{H}_{3}}CH=CH-CHO\] 3.\[C{{H}_{3}}C{{H}_{2}}CH=C{{H}_{2}}\]
question_answer79) The ionic radii of \[C{{a}^{2+}}\] and \[{{F}^{-}}\]are 100 pm and 133 pm respectively. The coordination number of \[C{{a}^{2+}}\] in the ionic solid will be
question_answer87) An aqueous solution containing 1 g of urea boils at 100.25°C. The aqueous solution containing 3 g of glucose in the same volume will boil at
question_answer89) For a first order reaction involving decomposition of\[{{N}_{2}}{{O}_{5}},\]following information is available \[2{{N}_{2}}{{O}_{5}}(g)\xrightarrow[{}]{{}}4N{{O}_{2}}(g)+{{O}_{2}}(g),\] Rate\[=k[{{N}_{2}}{{O}_{5}}]\] \[{{N}_{2}}{{O}_{5}}(g)\xrightarrow[{}]{{}}2N{{O}_{2}}(g)+\frac{1}{2}{{O}_{2}}(g),\] Rate\[=k[{{N}_{2}}{{O}_{5}}]\] Which of following expression is true?
question_answer93) Volume of a colloidal particle, \[{{V}_{c}}\]as compared to the volume of a solute particle in a true solution, \[{{V}_{s}}\] could be
question_answer97) One mole of an ideal gas with \[{{C}_{v}}=\frac{3}{2}R\]is heated at a constant presure of 1 atm from 25°C to 100°C. The \[\Delta E\] and \[\Delta H\]respectively are
question_answer99) 0.3 g of an oxalate salt was dissolved in 100 ml solution. The solution requires 90 mL of \[\frac{N}{2}KMn{{O}_{4}}\]for complete oxidation. The % of oxalate ion in salt is
question_answer100) The counting rate observed from a radioactive source at t = 0 second was 1600 counts/s and ( = 8 s it was 100 counts/s. The counting rate observed as count per second at t = 6 s will be
question_answer133) Myasthenia gravis is a disease occurring due to the auto antigens produced against acetyl choline receptors. This phenomenon represents
question_answer134) Changing moods, errant behaviour, thoughts and perceptions as seen in psychosis, powerful imagination, dream-like state with disorientation and loss of contact with reality, all of these are the effects of
question_answer137) An individual is suffering from urogenital tract infection during micturtion, a burning feeling and yellow discharge occurs. It is accompanied by fever, headache and feeling uneasy. He is suffering from which disease?
question_answer140) A connecting link demonstrates characteristics of more than one groups. What will be the connecting link between reptiles and mammals from those given below?
question_answer155) During a tissue culture process the student added a chemical X to the set up. After a few days, new green shoots are observed to be appearing on the callus. What was added in the form of X to this set up?
question_answer159) A sequence is given to a student was CAG TAG CAG TAG CAG TAG. The student rewrite the sequence as CAG ATA GCA GTA GCA GTA G. What has happened in this sequence?
question_answer161) A DNA molecule is formed by purine and pyrimidine bases interactions with sugar. Always A = T and G = C. This relationship is given by
question_answer168) During unfavourable conditions, some organisms and some lower plants produce various kind of thick walled spores, which germinates in presence of suitable conditions. This mechanism is known as
question_answer171) In the experiment ot MeseIson and Stahl, the heavy DNA (15N DNA) was allowed to undergo two rounds of replication in 14 N medium, the isolated DNA would show
question_answer174) A virus can replicate its genome without killing the host cell. This is done when the viral genome is integrated into the host genome. As the latter replicates, the former (viral genome) is also replicated. This viral genes DNA is called
question_answer176) For the successful graft the adhesion between the Scion and Stock is essential. In your view, which of the following is the earliest event towards a good graft? I. Production of plasmodermata in the cell at the interface of Scion and Stock. II. Coordinated differentiation of vascular tissue between the Stock and Scion. III. Regeneration of cortex and epidermis over the union of Stock and Scion. IV. Production of callus tissue between the cells of Scion and Stock.
question_answer177) Vertically elongated cells in the lateral meristem producing axial system in the secondary xylem and phloem are known as I. fusiform initials II. combium cells III. phellogen cells
question_answer178) Some structures share embryonic origin and basic structure which may not perform similar functions like leaf modified into thorns and tendrils. Such structures are called as
question_answer179) Find the incorrect pair(s) from the following I. Diplanetism: Production of two kinds of spores, e.g. Seprolegnia. II. Aflatoxin : Toxin produced by Aspergillus flevus. III. Witches broom : Caused by ascomyctes in Taphrina in fruit trees. IV. Phytophthom: Irish famine 1,45 infestance. V. Tundu disease in wheat : Caused by nematode.
question_answer187) Identify the incorrect statements regarding post fertilisation development. I. The ovary wall develops into pericarp. II. The outer integument of ovule develops into tegmen. III. The fusion nucleus (triple nucleus) develops into endosperm. IV. The ovule develops into fruits. V. The ovary develops into seed.
question_answer189) Read the following statements choose the correct option. I. Hydrolysis of starch produce malic acid in guard cells of stomata. II. Malic acid accumulation results into closure of guard cells. III. Breakdown of malic acid from potassium malate. IV. This opens the stomata.
A)
These sequence of events I to IV are formed in CAM plants
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B)
These sequence of events are normal mechanism of stomatal apparatus
doneclear
C)
The events are characteristics of \[{{C}_{3}}\] and \[{{C}_{4}}\] plants.
question_answer190) 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 on of alphabets of the two columns.
question_answer191) Match the names of economically important plants (or their products) listed in column I with the families to which they belong given in column II. Choose the answer which gives the correct combinatoion of alphabets of the two columns.__________________
question_answer200) Cells capable of division. \[\square \]= Cells lose capacity of divide. A and B are two different types of growth choose the correct match for A and B.
A)
A = Geometric growth and sigmoid linear curne curve B = Aithmetic growtid and
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B)
A = Aithmetic growth and linear curve B = Geometric growth and sigmoid curve
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C)
A = Arithmetic growth and Sigmoid curve B = Geomtrie growth and sigmoid curve
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D)
A = Geometric growth and linear curve B = Arithmetic growth and sigmoid curve