Solved papers for WB JEE Medical WB JEE Medical Solved Paper-2012
done WB JEE Medical Solved Paper-2012 Total Questions - 160
question_answer1) In a mercury thermometer, the ice point (lower fixed point) is marked as \[{{10}^{o}}\] and the steam point (upper fixed point) is. Marked as\[{{130}^{o}}\]. At \[{{40}^{o}}\]temperature, what will this thermometer read?
question_answer2) The magnetic flux linked with a coil satisfies the relation \[\text{o }\!\!|\!\!\text{ =}\,\text{4}{{\text{t}}^{2}}+6t+9\,Wb,\] where t is the time in second. The emf induced in the coil at \[t=2s\] is
question_answer4) If the velocity of light in vacuum is \[3\times {{10}^{8}}m{{s}^{-1}},\] the time taken (in nanosecond) to travel through a glass plate of thickness \[10\,cm\]and refractive index 1.5 is
question_answer5) A charge +q is placed at the origin 0 of \[x-y\]axes as shown in the figure. The work done in taking a charge Q from A to B along the straight line AB is
question_answer7) In a region, the intensity of an electric field is given by \[E=2i+3j+k\]in \[N{{C}^{-1}}.\]The electric flux through a surface \[S=10i\,{{m}^{2}}\]in the region is
question_answer8) A train approaching a railway platform with a speed of \[20\,m{{s}^{-1}}\] starts blowing the whistle. Speed of sound in air is \[340\,m{{s}^{-1}}.\] If the frequency of the emitted sound from the whistle is 640 Hz, the frequency of sound to a person standing on the platform will appear to be
question_answer9) A straight wire of length 2 m carries a current of 10 A. If this wire is placed in a uniform magnetic field of 0.15 T making an angle of \[{{45}^{o}}\] with the magnetic field, the applied force on the-wire will be
question_answer10) What is the phase difference between two simple harmonic motions represented by \[{{x}_{1}}=A\sin \left( \omega t+\frac{\pi }{6} \right)\]and \[{{x}_{2}}=A\cos (\omega t)\]?
question_answer11) Heat is produced at a rate given by H in a resistor when it is connected across a supply of voltage V. If now the resistance of the resistor is doubled and the supply voltage is made V/3, then the rate of production of heat in the resistor will be
question_answer12) Two elements A and B with atomic numbers \[{{Z}_{A}}\]and \[{{Z}_{B}}\]are used to produce characteristic X-rays with frequencies \[{{v}_{A}}\]and \[{{v}_{B}}\]respectively. If \[{{Z}_{A}}:{{Z}_{B}}=1:2,\] then \[{{v}_{A}}:{{v}_{B}}\]will be
question_answer13) The de-Broglie wavelength of an electron moving with a velocity c/2 (c = velocity of light in vacuum) is equal to the wavelength of a photon. The ratio of the kinetic energies of electron and photon is
question_answer14) Two infinite parallel metal planes, contain electric charges with charge densities \[+\sigma \]and \[-\sigma \] respectively and they are separated by a small distance in air. If the permittivity of air is \[{{\varepsilon }_{0}},\]then the magnitude of the field between the two planes with its direction will be
A)
\[\sigma /{{\varepsilon }_{0}}\]towards the positively charged plane
doneclear
B)
\[\sigma /{{\varepsilon }_{0}}\]towards the negatively charged plane
doneclear
C)
\[\sigma /(2{{\varepsilon }_{0}})\]towards the positively charged plane
question_answer15) A box of mass 2 kg is placed on the roof of a car. The box would remain stationary until the carattains a maximum acceleration. Coefficient of static friction between the box and the roof of the car is 0.2 and \[g=10\,m{{s}^{-2}}.\] This maximum acceleration of the car, for the box to remain stationary, is
question_answer18) A particle is travelling along a straight line OX. The distance \[x\] (in metre) of the particle from O at a time t is given by \[x=37+27t-{{t}^{3}},\]whem is time in seconds. The distance of the particle from O when it comes to rest is
question_answer19) A particle is projected from the ground with a kinetic energy E at an angle of \[{{60}^{o}}\] with the horizontal. Its kinetic energy at the highest point of its motion will be
question_answer20) A bullet on penetrating 30 cm into its target loses its velocity by 50%. What additional distance will it penetrate into the target before comes to rest?
question_answer21) When a spring is stretched by 10 cm, the potential energy stored is E. When the spring is stretched by 10 cm more, the potential energy stored in the spring becomes
question_answer22) Average distance of the Earth from the Sun is \[{{L}_{1}}.\] If one year of the Earth = D days, one year of another planet whose average distance from the Sun is \[{{L}_{2}}\] will be
question_answer23) A spherical ball A of mass 4 kg, moving along a straight line strikes another spherical ball B of mass 1 kg at rest. After the collision, A and B move with velocities \[{{v}_{1}}\,m{{s}^{-1}}\]and \[{{v}_{2}}\,m{{s}^{-1}}\] respectively making angles of \[{{30}^{o}}\] and \[{{60}^{o}}\] with respect to the original direction of motion of A. The ratio \[\frac{{{v}_{1}}}{{{v}_{2}}}\] will be
question_answer25) The frequency of the first overtone of a closed pipe of length \[{{l}_{1}}\]is equal to that of the first overtone of an open pipe of length \[{{l}_{2}}.\]The ratio of their lengths \[({{l}_{1}}:{{l}_{2}})\] is
question_answer26) The \[I-V\]characteristics of a metal wire at two different temperatures (\[{{T}_{1}}\]and\[{{T}_{2}}\]) are given in the adjoining figure. Here, we can conclude that
question_answer27) In a slide caliper, \[(m+1)\]number of vernier divisions is equal to m number of smallest main scale divisions. If d unit is the magnitude of the smallest main scale division, then the magnitude of the vernier constant is
question_answer28) From the top of a tower, 80 m high from the ground, a stone is thrown in the horizontal direction with a velocity of \[8\,m{{s}^{-1}}.\]The stone reaches the ground after a time t and falls at a distance of d from the foot of the tower. Assuming \[=10m/{{s}^{2}},\] the time t and distance d are given respectively by
question_answer29) A Wheatstone bridge has the resistances \[10\,\Omega ,\,10\,\Omega ,\,\] and \[30\Omega \] in its four arms. What resistance joined in parallel to the \[30\Omega \] resistance will bring it to the balanced condition?
question_answer31) A magnetic needle is placed in a uniform magnetic field and is aligned with the field. The needle is now rotated by an angle of \[{{60}^{o}}\] and the work done is W. The torque on the magnetic needle at this position is
question_answer32) In the adjoining figure, the potential difference between X and Y is 60 V. The potential difference between the points M and N will be
question_answer33) A body when fully immersed in a liquid of specific gravity 1.2 weighs 44 gwt. The same body when fully immersed in water weighs 50 gwt. The mass of the body is
question_answer34) When a certain metal surface is illuminated with light of frequency v, the stopping potential for photoelectric current is \[{{V}_{0}}.\] When the same surface is illuminated by light of frequency \[\frac{v}{2},\]the stopping potential is \[\frac{{{V}_{0}}}{4}.\]The threshold frequency for photoelectric, emission is
question_answer35) Three blocks of masses 4 kg, 2 kg, 1 kg respectively are in contact on a frictionless table as shown in the figure. If a force of 14 N is applied on the 4 kg block, the contact force between the 4 kg and the 2 kg block will be
question_answer36) Let L be the length and d be the diameter of cross-section of a wire. Wires of the same material with different L and d are subjected to the same tension along the length of the wire. In which of the following cases, the extension of wire will be the maximum?
question_answer37) An object placed in front of a concave mirror at a distance of \[x\,cm\]from the pole gives a 3 times magnified real image. If it is moved to a distance of \[(x+5)\,cm,\] the magnification of the image becomes 2. The focal length of the mirror is
question_answer38) 22320 cal of heat is supplied to 100 g of ice at \[0{{\,}^{o}}C.\] If the latent heat of fusion of ice is \[80\,\text{cal}\,{{g}^{-1}}\] and latent heat of vaporization of water is \[540\,\text{cal}\,{{g}^{-1}},\] the final amount of water thus obtained and its temperature respectively are
question_answer39) A progressive wave moving along \[x-\]axis is represented by y\[y=A\,\sin \left[ \frac{2\pi }{\lambda }(vt-x) \right].\] The wavelength \[(\lambda )\] at which the maximum particle velocity is 3 times the wave velocity is
question_answer40) Two radioactive substances A and B have decay constants \[5\lambda \] and\[\lambda \] respectively. At \[t=0,\]they have the same number of nuclei. The ratio of number of nuclei of A to that of B will be \[{{(1/e)}^{2}}\] after a time interval of
question_answer44) A 100 mL \[0.1=(M)\] solution of ammonium acetate is diluted by adding 100 mL of water. The pH of the resulting solution will be (\[p{{K}_{a}}\] acetic acid is nearly equal to\[p{{K}_{b}}\]of\[N{{H}_{4}}OH\])
question_answer46) The well known compounds, \[(+)\,-\]lactic acid and \[(-)\,-\] lactic acid, have the same molecular formula, \[{{C}_{3}}{{H}_{6}}{{O}_{3}}.\]The correct relationship between them is
question_answer50) 58.4 g of NaCl and 180 g of glucose were separately dissolved in 1000mL of water. Identify the correct statement regarding the elevation of boiling point (b.p) of the resulting solutions.
A)
NaCI solution will show higher elevation of boiling point
doneclear
B)
Glucose solution will show higher elevation of boiling point
doneclear
C)
Both the solutions will show equal elevation of boiling point
doneclear
D)
The boiling point elevation will be shown by neither of the solutions
question_answer51) Equal weights of \[C{{H}_{4}}\]and \[{{H}_{2}}\]are mixed in an empty container at \[25{{\,}^{o}}C.\]the fraction of the total pressure exerted by \[{{H}_{2}}\] is
question_answer53) In a reversible chemical reaction at equilibrium, if the concentration of any one of the reactants is doubled, then the equilibrium constant will
question_answer62) When \[{{H}_{2}}{{O}_{2}}\]is shaken with an acidified solution of \[{{K}_{2}}C{{r}_{2}}{{O}_{7}}\]in the presence of ether, the ethereal layer turns blue due to the formation of
question_answer71) 20 mL 0.1 (N) acetic acid is mixed with 10 mL (N) solution of NaOH. The pH of the resulting solution is (\[p{{K}_{a}}\] of acetic acid is 4.74)
question_answer75) An equimolar mixture of toluene and chlorobenzene is treated with a mixture of cone. \[{{H}_{2}}S{{O}_{4}}\]and cone. \[HN{{O}_{3}}.\]Indicate the correct statement from the following.
A)
p-nitrotoluene is formed in excess
doneclear
B)
equimolar amounts of p-nitrotoluene and p-nitrochlorobenzene are formed
question_answer76) Among the following carbocations: \[P{{h}_{2}}{{C}^{+}}C{{H}_{2}}Me\,\,(I),\]\[PhC{{H}_{2}}C{{H}_{2}}C{{H}^{+}}Ph\,(II),\]\[P{{h}_{2}}CHC{{H}^{+}}Me\,\,(III)\]and \[P{{h}_{2}}C(Me)C{{H}_{2}}\]\[\,(IV),\]the order of stability is
question_answer78) On passing C ampere of current for time t sec through 1 L of \[2\,(M)\,CuS{{O}_{4}}\]solution (atomic weight of Cu = 63. 5), the amount m of Cu (in gram) deposited on cathode will be
question_answer108) Higher animals cannot synthesize few fatty acids which are very essential for their growth and development. These fatty acids are typically
question_answer139) The vein which is formed from the capillaries of an organ and terminates into capillaries in some other organ before entering the heart is called
question_answer141) During synaptic transmission of nerve impulse, neurotransmitter (P) is released from synaptic vesicles by the action of ions (Q). Choose the correct P and Q.
question_answer142) Choose the right sequential phenomena among the following during the delivery of \[{{O}_{2}}\] from blood to tissue.
I. Absorption of \[C{{O}_{2}}\]by the blood.
II. Reaction of absorbed \[C{{O}_{2}}\]with \[{{H}_{2}}O\]to form \[{{H}_{2}}C{{O}_{3}}\]within RBC and its conversion into \[{{H}^{+}}\]and \[HCO_{3}^{-}\]ions.
III. Reaction of absorbed \[C{{O}_{2}}\]with \[{{H}_{2}}O\]in plasma to form \[{{H}_{2}}C{{O}_{3}}\]and its conversion into \[{{H}^{+}}\]and \[HCO_{3}^{-}\]ions.
IV. Combination of \[{{H}^{+}}\] with haeme portion of \[Hb{{O}_{2}}\]to release\[{{O}_{2}}.\]
V. Combination of \[HCO_{3}^{-}\]with haeme portion of \[Hb{{O}_{2}}\]to form reduced haemoglobin and release of \[{{O}_{2}}.\]
question_answer148) A man having the genotype EEFfGgHH can produce P number of genetically different sperms and a woman of genotype HLLMmNn can generate Q number of genetically different eggs. Determine the values of P and Q.
question_answer149) In an organism, tall phenotype is dominant over recessive dwarf phenotype and the alleles are designated as T and t, respectively. Upon crossing two different individuals, total 250 offsprings were obtained, out of which 124 displayed tall phenotype and rest were dwarf Thus, the genotype of the parents were