Solved papers for MGIMS WARDHA MGIMS WARDHA Solved Paper-2015
done MGIMS WARDHA Solved Paper-2015 Total Questions - 180
question_answer1) A solid sphere of radius r made of a material of bulk modulus K is surrounded by a liquid in cylindrical container. The massless piston of area A floats on the surface of the liquid. If a mass m is placed on a piston to compress the liquid, then the fractional change in the radius of the sphere will be
question_answer5) A gas bubble forms an explosion under water which oscillate with a period\[T\propto {{p}^{a}}{{\rho }^{b}}{{E}^{c}},\]where p is the static pressure, p is the density of water and E is the total energy of explosion. Then, the values of q, b and c will be
question_answer6) If a particle moves a distance\[x\]at a speed\[{{v}_{1}}\] and comes back with speed\[{{v}_{2}},\]then the average speed and average velocity during this round trip will respectively be
question_answer7) On an electron in an atom both electric and gravitational forces are collinear we neglect gravitational force\[({{F}_{G}})\]in comparison to electric force\[({{F}_{E}}),\]because
question_answer8) A metal block of mass 1 kg is resting on a frictionless horizontal plane. It is struck by a jet releasing water at a rate of 1 m/s and at a speed of 4 m/s. Then, the initial acceleration of the block will be
question_answer9) A body of mass 5 kg moves on a straight path as a function of time\[x\text{ }={{t}^{3}}-121\]. The force on the body at\[t=5s\]will be
question_answer10) The potential energy of a certain spring when stretched through a distance\[x\]is 20 J. The amount of work that must be done on this spring to stretch it through an additional distance \[\frac{x}{2}\]will be
question_answer11) A flywheel of moment of inertia \[0.4\text{ }kg-{{m}^{2}}\] and radius 20 cm is free to rotate about a central axis. If a string is wrapped on its circumference and it is pulled with a force of 10 N, then the change in its angular velocity after 4 s will be
question_answer12) Three identical spheres of mass m each are placed at the corners of an equilateral triangle of side 1m. Taking one of the corners as the 2 origin, the position vector of centre of mass is
question_answer13) A lift is ascending with an acceleration simple pendulum suspended from its ceiling oscillates with a period T. The period of oscillation of pendulum when the lift is stationary will be
question_answer14) The driver of a truck travelling with a velocity v suddenly notice a brick wall in front of him at a distance r. How the driver avoid himself by crashing into the wall?
question_answer15) A stationary source emits a sound moving towards a wall with a velocity u. Speed of sound in air is v. The fractional change in the wavelength of the sound sent and the reflected sound is
question_answer17) Two wires of same material and length are stretched by the same force. Their masses are in the ratio\[4:3\]. The ratio of their elongation will be
question_answer18) Surface tension of a detergent solution is\[2.8\times {{10}^{-2}}N{{m}^{-1}}\]. The work done in blowing a bubble of diameter 1cm will be nearly
question_answer19) A particle executes SHM of amplitude 4 cm and time period 2 s. Then, the time taken by it to move from positive extreme position to half the amplitude is
question_answer20) An organ pipe open at one end is vibrating in second harmonic and is in resonance with another pipe open at both the ends and vibrating in second overtone. The ratio of length of two pipes is
question_answer21) \[n\]balls each of mass m impinge elastically each second on a surface with velocity v. The average force experienced by the surface will be
question_answer22) A monkey of mass 30 kg climbs on a massless rope whose breaking strength is 450 N. The rope will break if the monkey (Take\[g=10\text{ }m/{{s}^{2}}\])
A)
climbs up with a uniform speed of 5 m/s
doneclear
B)
climbs down with an acceleration\[4\text{ }m/{{s}^{2}}\]
doneclear
C)
climbs up with an acceleration\[\text{6 }m/{{s}^{2}}\]
doneclear
D)
climbs down with a uniform speed of\[\text{5 }m/{{s}^{2}}\]
question_answer25) A wire suspended vertically from one of its ends is stretched by attaching a weight 100 N to the lower end. The wire stretches by 1mm. The elastic energy stored in the wire is
question_answer26) A circular metal plate of radius 5 cm rests on a layer of centre oil 2mm thick whose coefficient of viscosity is 15.5 dyne\[c{{m}^{-2}}s\]. The value of shearing stress when a horizontal force move the plate with a speed of 5 cm/s will be
question_answer27) The surface tension and vapour pressure of water at\[20{}^\circ C\]is\[7.28\times {{10}^{-2}}N{{m}^{-1}}\]and\[2.33\times {{10}^{3}}Pa\]respectively. The radius of the smallest spherical droplet which can form without evaporating is
question_answer29) A simple pendulum of length\[{{I}_{1}}\]has a time period of 2 s and another pendulum length 4 has a time -period of 1 s. Then, the time period of pendulum -having length\[{{I}_{1}}-{{I}_{2}}\]will be
question_answer30) Two sound waves with wavelengths 4 m and 5 m respectively each propagating in a gas with velocity 340 m/s. The number of beats per second will be
question_answer31) Capacitance of a parallel plate capacitor becomes \[\frac{3}{2}\]times its original value if a dielectric slab of thickness\[\frac{d}{2}\]is inserted between the plates, where d is the separation between the plates. The dielectric constant of the slab is
question_answer32) The electric potential Vat any point\[x,y,z\]in space is given by\[V=4{{x}^{2}}\]. The electric field at the point (2, 0, 1) in\[V{{m}^{-1}}\]is
question_answer33) The electric field in a region is given by\[E=(4\hat{i}+3\hat{j})V/m\]. The net flux passing through a square area of side 4 m parallel to 4 y-z plane is
question_answer34) The current in a wire varies with time as \[I=5{{t}^{2}}+2t,\]where I is in ampere and t is in second. The quantity of charge which has to be passed through a cross-section of wire during the times\[t=4\]to\[t=6s\]is
question_answer35) Three resistances of\[2\,\Omega ,3\,\Omega \].and\[6\,\Omega \]are connected in parallel and the combination is connected in series with 2 V battery having internal resistance of\[1\,\Omega \]. The current in the battery is
question_answer36) An electric cable of copper has just one wire of radius 9 mm with resistance\[5\,\Omega \]. This single copper wire of cable is replaced by 4 different well insulated copper wires each of radius 3 mm. The total resistance of the cable now will be
question_answer37) A rise of temperature\[5{}^\circ C\]is observed in a conductor by passing a current. If the current is doubled the rise in temperature will be
question_answer38) The current density varies with radial distance r as\[j=a{{r}^{2}}\](where, a is a constant) in a cylindrical wire of radius R. The current passing through the wire between radial distance\[\frac{R}{4}\]and\[\frac{R}{4}\]is
question_answer39) An electron having mass\[9.1\times {{10}^{-31}}kg\]moves in a circular path of radius 0.4 m with velocity\[{{10}^{5}}\] m/s in a magnetic field. The strength of magnetic field is
question_answer40) A current of 6.4 A is passed through the coil of galvanometer having 500 turns and each turn has an average area of\[3\times {{10}^{-4}}{{m}^{2}}\]. If a torque of 2 Nm is required for this coil carrying some current to set it parallel to a magnetic field then the strength of magnetic field will be
question_answer41) The magnetic moment of a short bar magnet is \[4\text{ }A{{m}^{2}}\]The magnetic induction at a point 10 cm away from its mid point on axial line is\[{{B}_{1}}\]and on the equatorial line is\[{{B}_{2}}\]then
question_answer42) A beam of monochromatic light is incident on one face of an equilateral prism. The angle of incidence is\[55{}^\circ \]. If the angle of emergence is \[46{}^\circ \], then the angle of minimum deviation\[{{\delta }_{m}}\]will be
question_answer48) The magnetic flux through a circuit of resistance R changes by\[\Delta \phi \]in times\[\Delta t\]. Then, the total amount of electric charge that passes in any point in the circuit during this time\[\Delta t\] will be
question_answer51) When a radioactive isotope\[_{88}R{{a}^{228}}\]decay in series by the emission of 3a -particles and a \[\beta -\]particle, the isotope finally formed is
question_answer52) \[{{\lambda }_{1}},{{\lambda }_{2}}\]and\[{{\lambda }_{3}}\]are de-Broglie wavelengths of electron, proton and\[\alpha -\]particle. If they are accelerated by same potential, then
question_answer53) A transistor is connected in CE configuration. The supply to the collector is 8 V and the voltage drop across a resistor of\[400\,\Omega \]in the collector circuit is 0.5 V. If the current gain factor is\[\alpha =0.96\]then, the base current will be nearly
question_answer55) In a step up transformer, the turns ratio of primary and secondary is\[1:4\]. A leclanche cell of emf 1.5 V is connected across the primary. The voltage developed across the secondary will be
question_answer57) A the r mister is dipped in a water bath. As the temperature increases the current in the thermistor also increases. This is due to decrease in
question_answer58) In an AC circuit, voltage and current are given by\[V=50\,\sin (100t)V\]and\[I=500\sin \left( 100t+\frac{\pi }{3} \right)A\]. The power dissipated in the circuit is
question_answer59) The magnetic flux\[\phi \]in a closed circuit of resistance\[10\,\Omega \]. varies with time t (in second) as\[\pi =(4{{t}^{2}}-5t+1)Wb\]. The magnitude of induced current at\[t=0.20s\] is
question_answer60) A galvanometer has a resistance of\[4\,\Omega \]and a full scale deflection is produced by 12 mA current. What resistance must be connected in series with it to enable it to read 1.2 V?
question_answer61) The standard reduction potentials of half reactions are given below \[{{F}_{2}}(g)+2{{e}^{-}}\xrightarrow[{}]{{}}2{{F}^{-}}(aq);E{}^\circ =+2.85V\] \[C{{l}_{2}}(g)+2{{e}^{-}}\xrightarrow[{}]{{}}2C{{l}^{-}}(aq);E{}^\circ =+1.36V\] \[B{{r}_{2}}(g)+2{{e}^{-}}\xrightarrow[{}]{{}}2B{{r}^{-}}(aq);E{}^\circ =+1.06V\] \[{{I}_{2}}(g)+2{{e}^{-}}\xrightarrow[{}]{{}}2{{I}^{-}}(aq);E{}^\circ =+0.53V\] The strongest oxidising and reducing agents respectively are
question_answer62) Aniline when diazotised in cold and then treated with dimethyl aniline gives a coloured product. The structure of coloured product would be
question_answer66) At\[90{}^\circ C,\]pure water has\[[{{H}^{+}}]={{10}^{-6}}M,\]if 100 mL of\[0.2\text{ }M\text{ }HCl\]is added to 200mL of 0.1 M KOH at\[90{}^\circ C\]then pH of the resulting solution will be
question_answer71) A litre solution containing\[N{{H}_{4}}Cl\]and\[N{{H}_{4}}OH\]has hydroxide ion concentration of \[{{10}^{-6}}mol{{L}^{-1}}\]. Which of the following hydroxide could be precipitated when the solution is added to 1L solution of 0.1M metal ions?
I. \[Ba{{(OH)}_{2}}({{K}_{sp}}=5\times {{10}^{-3}})\]
II. \[Ni{{(OH)}_{2}}({{K}_{sp}}=1.6\times {{10}^{-16}})\]
III. \[Mn{{(OH)}_{2}}({{K}_{sp}}=2\times {{10}^{-13}})\]
IV. \[Fe{{(OH)}_{2}}({{K}_{sp}}=8\times {{10}^{-16}})\]
question_answer73) Forty milliliter of CO was mixed 100 mL of\[{{O}_{2}}\] and the mixture was exploded. On cooling, the reaction mixture was shaken with KOH. What volume of gas is left?
question_answer74) Equivalent conductance of 0.0128 N acetic acid solution, at\[25{}^\circ C\]is 14 \[oh{{m}^{-1}}e{{q}^{-1}}\]and at infinite dilution is 391\[oh{{m}^{-1}}e{{q}^{-1}}\]. The degree of dissociation of acetic acid in the solution and its dissociation constant, respectively are
question_answer76) A light greenish coloured salt was soluble in water. On passing \[{{H}_{2}}S\] into the solution a black precipitate was obtained which dissolved readily in \[HCl\]. The metal ion present is
question_answer93) Which of the following statements is correct with respect to the property of elements with increase in atomic number in the carbon family (group 14)?
question_answer102) The rate of reaction,\[2NO+C{{l}_{2}}2NOCl\] becomes double when the concentration of\[C{{l}_{2}}\]is doubled. However, when the concentration of both the reactants is doubled the rate becomes eight times. What is order of the reaction?
question_answer103) How will the rate of reaction,\[2NO+{{O}_{2}}\xrightarrow[{}]{{}}2N{{O}_{2}}\]change, if the volume of the reaction vessel is doubled?
question_answer106) Which one of the following conditions will increase the voltage of the cell represents by the equation? \[Cu(s)+2A{{g}^{+}}(aq)\xrightarrow[{}]{{}}C{{u}^{2+}}(aq)+Ag(s)\]
A)
Increase in the concentration of\[A{{g}^{+}}\]ions
doneclear
B)
Increase in the concentration of\[C{{u}^{2+}}\]ions
question_answer109) If the positions of\[N{{a}^{+}}\]and\[C{{l}^{-}}\]are interchanged in\[NaCl,\], the crystal lattice with respect to\[N{{a}^{+}}\]and\[C{{l}^{-}}\]is
question_answer110) At a temperature, vapour pressure of pure benzene is 640 nun Hg. On dissolving 2.175 g of a non-volatile solid solute in 39.0 g benzene vapour pressure of the solution if found to be 600 mm Hg. The molecular mass of solute is.
question_answer111) \[50\,c{{m}^{3}}\]ethylene glycol is dissolved in 50g water. Freezing point of solution is\[-34{}^\circ C\]Assuming ideal behaviour than density of ethylene glycol is (for water, \[{{K}_{f}}=1.86\,K\,kg\,mo{{l}^{-1}}\])
question_answer113) 10 moles of ideal gas expand isothermally 60 and reversibly from a pressure of 10 atm to 1 atm at 300K. What is the largest mass which can lifted through a height of 100 meter?
question_answer114) arsenic sulphide sol is prepared by passing \[{{H}_{2}}S\] through arsenic oxide solution. The charge developed on the particles is due to absorption of
question_answer115) The molar heat capacity at constant volume of gaseous mixture contained 2 moles of each of two ideal gases\[X(CLV,\text{ }m=\frac{3}{2}R)\]and\[Y({{C}_{V}},m=\frac{5}{2}R)\]
question_answer116) A compound is soluble in cone.\[{{H}_{2}}S{{O}_{4}}\].It does not decolourise bromine in\[CC{{l}_{4}}\]but in oxidized by chromic anhydride in aqueous \[{{H}_{2}}S{{O}_{4}}\]whit 2s, turning orange solution to blue green, afterward opaque. The original solution contains
question_answer117) Liquid flow a higher to a lower level. Which of the following liquids can climb up the walls of the glass vessel in which it is placed?
question_answer118) For a chemical reaction, temperature is raised from\[25{}^\circ C\]to\[35{}^\circ C\]. The value of equilibrium constant,\[{{K}_{p}}\]is doubled-The heat of reaction\[(\Delta H)\]for the reaction will be
question_answer119) 4.0 g molecular\[PC{{l}_{5}}\] were heated in a vessel of 6L volume. At equilibrium state, 50% of\[PC{{l}_{5}}\]is dissociated. The equilibrium constant tor the reaction is
question_answer120) A greenish yellow gas reacts with alkali metal hydroxide to form a halate which can be used in fire works and safety matches. The gas and halate respectively are
question_answer123) A plant cell is placed in a solution whose solute concentration is twice as great as the concentration of the cell cytoplasm. The plasma membrance is selectively permeable, allowing water but not solutes to pass through. What will happen to the cell?
A)
The cell will swell because of endosmosis
doneclear
B)
The cell will shrivel because of exosmosis
doneclear
C)
The cell will shrivel because of active transport of water
doneclear
D)
No change will occur because of hard impervious cell wall present
question_answer125) In Zostera, the marine angiosperm, the pollen grains are long ribbon-like and without exine. They have same specific gravity as that of water. How is this feature helpful in their pollination?
A)
The pollen grains become un wet table
doneclear
B)
The pollen grains spread over large and they are lighter
doneclear
C)
The pollen grains can float below the surface of water
question_answer127) Statement I \[\alpha -\]ketoglutarate dehydrogenase catalyses the conversion of oxalosuccinic acid to \[\alpha -\]ketoglutarate. Statement II This reaction is accompanied with release of\[C{{O}_{2}}\]. Choose the correct option.
A)
Statement I is correct and statement II is incorrect
doneclear
B)
Statement II is correct and statement I is incorrect
question_answer135) The leaves of some plants contain crystals of calcium carbonate in epidermal cells, giving appearance that of bunch of grapes are called
question_answer139) In sweet pea, C and P genes are essential for flower colour. In absence of either or both the genes, the flowers are white. What will be the percentage of coloured flowers in the off spring of cross\[Ccpp\times ccPp\]?
question_answer141) The statement given below are the deficiency symptoms of a certain element. Identify the element with the help of options that follow.
question_answer142) In complete oxidation of glucose, ATP molecules are formed from ADP. Which among the following stage yields the maximum amount of ATP?
question_answer151) Reproductive isolation mechanism prevent interbreeding of naturally sympatric population. Given below are categories of isolating mechanisms. Choose the correct name for isolation when potential mates occupy overlapping ranges but reproduce at different times of the year.
question_answer158) Menstrual cycle is the cyclic changes in the reproductive tract of primate females. Given below are some statements related with menstrual cycle.
I. Oestrogen is the hormone active during proliferative phase.
II. The uterine endometrium and glands grow further during secretory phase.
III. At the end of proliferative phase, corpus luteum degenerates in the ovary.
IV. The cycle ends with the menstrual phase, when menstrual flow occurs and lasts for 3-5 days.
question_answer159) Elevated blood levels of certain enzymes suggest a related disease. Match the enzyme in column I with related disease in column II.
question_answer164) Thousand of years old mummies are still in their condition as they were before due to some reason. Which of the following describe it the best?
question_answer165) Statements I Buffer is a compound that destabilises the pH of solution by removing or releasing hydrogen ions. Statement II Human blood has a buffer solution. Its pH is maintained by\[HCO_{3}^{-},{{H}^{+}}\] ions and\[C{{O}_{2}}\]concentration. Choose the correct option.