Solved papers for MGIMS WARDHA MGIMS WARDHA Solved Paper-2014
done MGIMS WARDHA Solved Paper-2014 Total Questions - 170
question_answer1) Two particles A and B of masses m and 2m have charges\[q\]and\[2q\]respectively. Both particles moving with velocities\[{{\upsilon }_{1}}\]and\[{{\upsilon }_{2}}\] respectively in the same direction and enter the same magnetic field B acting normally to their direction of motion. If the two forces\[{{F}_{A}}\]and\[{{F}_{B}}\]acting on them are in the ratio of\[1:2,\] the ratio of their velocities is
question_answer2) A narrow beam of protons and deuterons, each having the same momentum, enters a region of uniform magnetic field directed perpendicular to their direction of momentum. The ratio of the radii of the circular paths described by them is
question_answer3) A horizontal overhead power line carries a current of, 90 A in east to west direction. The magnitude and direction of the magnetic field due to the current 1.5m below the line is
question_answer4) A galvanometer has a resistance of\[30\,\Omega \]. It gives full scale deflection with a current of 2mA. Calculate, the value of the resistance needed to convert it into an ammeter of range 0-0.3 A. The value of the resistance needed to convert galvanometer into ammeter
question_answer5) A tank is filled with water to a height of 12.4 cm. The apparent depth of a needle lying at the bottom of the tank is measured by a microscope to be 9.3 cm. If water is replaced by a liquid of refractive index 1.6 upto the same height, by what distance would the microscope have to be moved to focus on the needle again
question_answer6) A ray of light falls on a transparent, right-angled isosceles prism made from a glass of refractive index\[\sqrt{2}\]. The incident ray falls normally on one of the equal sides of this prism. The ray will suffer
A)
total internal reflection
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B)
Interference
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C)
refraction with angle of refraction\[90{}^\circ \]
question_answer7) The magnifying power of a telescope in its normal adjustment is 20. If the length of the telescope is 105 cm in this adjustment, the focal length of the objective lens is
question_answer8) Two convex lenses of same focal lengths but of aperture\[{{A}_{1}}\]and\[{{A}_{2}}\]\[({{A}_{2}}<{{A}_{1}}),\]are used as the objective lenses in two astronomical telescopes having identical eye-pieces. The ratio of their resolving powers is
question_answer9) A beam of light converges at a point P. A concave lens of focal length 16 cm is placed in the path of this beam 12 cm from P. The location of the point, from the lens, at which the beam would now converge is
question_answer11) The graph given below showing the variation of stopping potential with the frequency of incident radiation for two different photosensitive materials having work functions \[{{W}_{1}}\]and \[{{W}_{2}}({{W}_{1}}<{{W}_{2}})\] The slope of graph showing the variation of stopping potential with the frequency of incident radiation gives the value of
A)
h/e where, h is Plancks constant and e electronic charge
question_answer13) In Youngs double slit experiment, monochromatic light of wavelength 600 nm illuminates the pair of slits and produces an interference pattern in which two consecutive bright fringes are separated by 10 mm. Another source of monochromatic light produces the interference pattern in which of the two consecutive bright fringes are separated by 8 mm. The wavelength of light from the second source is
question_answer14) Light passes through two polaroids\[{{P}_{1}}\]and \[{{P}_{2}}\] with pass axis of \[{{P}_{2}}\]making an angle 6 with the pass axis of \[{{P}_{1}}\]. That value of 9 for which the intensity of emergent light is zero.
question_answer15) If the angle between the axis of polarizer and the analyser is 45 degree, the ratio of the intensities of original light and the transmitted light after passing through the analyser is
question_answer16) The given circuit diagram shows a series L-C-R circuit connected to a variable frequency 230 V, source: \[L=5.0\text{ }H,\text{ }C=80\text{ }\mu F,\text{ }R=40\,\Omega \] The frequency and impedance of the circuit at the resonating frequency are
question_answer17) The instantaneous current and voltage of an AC circuit are given by \[I=10sin\text{ }300t\text{ }A\text{ }and\text{ }V=200\text{ }sin\text{ }300t\text{ }V\]. The power dissipation in the circuit is
question_answer18) In a series L-C-R circuit, the voltages across an inductor, a capacitor and a resistor are 30V, 30V and 60 V respectively. The phase difference between the applied voltage and the current in the circuit is
question_answer19) An AC source, of voltage\[V={{V}_{m}}\sin \omega t,\]is applied across a series RC circuit in which the capacitive impedance is a times the resistance in the circuit. The value of the power factor of the circuit is
question_answer20) Current in a circuit falls steadily from 2.0 A to 0.0 A in 10 ms. If an average emf of 200 V is induced, then the self-inductance of the circuit is
question_answer21) Volume versus temperature graphs for a given mass of an ideal gas are shown in figure. At two different values of constant pressure. What can be inferred about relation between\[{{p}_{1}}\]and \[{{P}_{2}}\]?
question_answer22) A rectangular coil of area A, having number of turns Nis rotated at/revolutions per second in a uniform magnetic field B. The maximum emf induced in the coil is
question_answer24) A step down transformer operated on a 2.5 kV line. It supplies a load with 20 A. The ratio of the primary winding to the secondary is\[10:1\]. If the transformer is 90% efficient, the power output is
question_answer25) A step down transformer operated on a 2.5 kV line. It supplies a load with 20 A. The ratio of the primary winding to the secondary is\[10:1\]. If the transformer is 90% efficient, the voltage in the secondary is
question_answer26) When a given coil is connected to a 200V, 50 Hz AC source, 1 A current flows in the circuit. The inductive reactance of the coil used is
question_answer27) When a given coil of ohmic resistance\[100\,\Omega \]and inductive reactance\[100\sqrt{3}\,\Omega \]is connected to a 200 V DC source, the current flows in the circuit is
question_answer28) If the position of a moving particle, with respect to time be, \[x(t)=1+t-{{t}^{2}}\]. then, the acceleration of particle is given by (assume all measurements in MKS)
question_answer31) A person travelling on a straight line moves with an uniform velocity\[{{\upsilon }_{1}}\]for some time and with uniform velocity\[{{\upsilon }_{2}}\]for the next equal interval of time. The average velocity for the entire duration is
question_answer33) The centre of mass of three particles of mass \[{{m}_{1}}=1.0\,kg,{{m}_{2}}=2.0\,kg,\]and\[{{m}_{2}}=3.0\,kg\]at the comers of an equilateral triangle 1.0 m on a side, as shown in figure
question_answer35) A ball is projected horizontally with a velocity of 5 m/s from the top of a building 19.6 m high. flow long will the ball take to hit the ground?
question_answer38) Two perfectly elastic particles A and B of equal masses travelling along the line joining, them with velocity 15 m/s and 20 m/s respectively collide. Their velocities after the elastic collision will be (in m/s) respectively.
question_answer39) A bomb of mass 16 kg at rest explodes into two pieces of masses 4 kg and 12 kg. The velocity of the 12 kg mass is\[4\text{ }m{{s}^{-1}}\]. The kinetic energy of the other mass is
question_answer40) Two particles of masses m^ and 7712 in projectile motion have velocities\[{{\upsilon }_{1}}\]and\[{{\upsilon }_{2}}({{\upsilon }_{1}}<{{\upsilon }_{2}})\]respectively at\[t=0\]. They collide at time\[{{t}_{0}}\]Their velocities become\[\overline{\upsilon }{{}_{1}}\]and\[\overline{\upsilon }{{}_{2}}\]at time\[2{{t}_{0}}\]while still moving in it. The value of \[|({{m}_{1}}\overline{\upsilon }+{{m}_{2}}\overline{\upsilon }{{}_{2}})-({{m}_{1}}{{\overline{\upsilon }}_{1}}+{{m}_{2}}{{\overline{\upsilon }}_{2}})|\]is
question_answer41) If the equation for the displacement of a particle moving on a circular path is given by \[\theta =2{{t}^{3}}+0.5,\]where\[\theta \]is in radian and t in second, then the angular velocity of the particle after 2 s from its start is
question_answer42) A block of mass m is placed on a smooth inclined plane of inclination with the horizontal. The force exerted by the plane on the block has a magnitude
question_answer43) A string of negligible mass going over a clamped pulley of mass m supports a block of mass M as shown in the figure. The force on the pulley by the clamp is given by
question_answer44) The moment of inertia of a uniform ring of mass\[m\]and radius r about an axis,\[AA\] touching the ring tangentially and lying in the plane of the ring only, as shown in figure , is
question_answer45) If the disc shown in figure has mass M and it is free to rotate about its symmetrical axis passing through 0, its angular acceleration is
question_answer46) A small ball released from rest from a height h on a smooth surface of varying inclination, as shown in figure. The speed of the ball when it reaches the horizontal part of the surface is
question_answer47) Two masses\[{{m}_{1}}=5\text{ }kg\]and\[{{m}_{2}}=4.8\text{ }kg\] tied to a string are hanging over a light frictionless pulley. What is the acceleration of the masses when lift is free to move?
question_answer48) A particle is acted upon by a conservative force \[F=(7\hat{i}-6\hat{j})N\](no other force is acting on the particle). Under the influence of this force, particle moves from (0,0) to\[(-3w,4w),\]then
question_answer50) Two identical\[p-n\]junctions may be connected in series with a battery in three ways as shown in the figure. The potential drops across the two n-p junctions are equal in
question_answer52) Two point charges\[+q\]and\[+4q\]are located at \[x=0\]and\[x=L\]respectively. The location of a point on the\[x-\]axis at which the net electric field due to these two points charges is zero, is
question_answer53) If electric flux entering and leaving an enclosed surface is\[{{\phi }_{1}}\]and\[{{\phi }_{2}}\]respectively, the electric charge inside the enclosed surface will be
question_answer54) In a potentiometer experiment, the balancing with a cell is at 240 cm. On shunting the cell with a resistance of\[2\,\Omega ,\]the balancing length becomes 120 cm. The internal resistance of the cell is
question_answer56) The displacement y of a particle in a medium can be expressed as \[y={{10}^{-6}}\sin (100t+20x+\pi /4)m,\]where t is in second and\[x\]in metre. The speed of the wave is
question_answer57) If the phase difference between two points is \[60{}^\circ \]on a wave velocity of 360 m/s and frequency 500 Hz, then path difference between the two points is
question_answer59) If\[{{W}_{1}},{{W}_{2}}\]and\[{{W}_{3}}\]represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 respectively in the gravitational field of a point mass m as shown in the figure, find the correct relation between \[{{W}_{1}},{{W}_{2}}\]and\[{{W}_{3}}\].
question_answer64) In an exothermic equilibrium,\[A+3BA{{B}_{3}}\]all the reactants and products are in gaseous state. The formation of\[A{{B}_{3}}\]is favoured at
question_answer67) 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_answer69) 0.5 mole of each of\[{{H}_{2}},S{{O}_{2}}\]and\[C{{H}_{4}}\]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_answer71) An evacuated glass vessel weighs 50 g when empty, 144.0 g when filled with a liquid of density\[0.47\text{ }g\text{ }m{{L}^{-1}}\]and 50.5 g when filled with an ideal gas at 760 mm Hg and 300 K. The molar mass of the ideal gas is \[[R=0.0821L\text{ }atm\text{ }{{K}^{-1}}mo{{l}^{-1}}]\]
question_answer73) A body of mass\[x\text{ }kg\]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_answer80) How many moles of Pt may be deposited on the cathode when 0.80 F of electricity is passed through a 1.0 M solution of\[P{{t}^{4+}}\]?
question_answer81) 1 g of a non-volatile, non-electrolyte solute of molar mass 250 g/mol was dissolved in 51.2 g of benzene. If the freezing point depression constant,\[{{k}_{f}}\]of benzene is\[5.12\text{ }kg\text{ }K\text{ }mo{{l}^{-1}},\] the freezing point of benzene is lowered by
question_answer84) For a chemical reaction\[A\to B,\]the rate of the reaction is\[2\times {{10}^{-3}}\]mol\[d{{m}^{-3}}{{s}^{-1}},\]when the initial concentration is 0.05 mol \[d{{m}^{-3}}\]. The rate of the same reaction is\[1.6\times {{10}^{-2}}mol\text{ }d{{m}^{-3}}{{s}^{-1}}\] when the initial concentration is\[0.1\text{ }mol\text{ }d{{m}^{-3}}\]. The order of the reaction is
question_answer88) The correct order of reactivity of the three halides ethyl chloride (I), iso-propyl chloride (II) and benzyl chloride (III) in \[{{S}_{N}}1\] reaction is
question_answer89) \[C{{H}_{3}}COOH\xrightarrow{LiAl{{H}_{4}}}X\xrightarrow[300{}^\circ C]{Cu}Y\xrightarrow[NaOH]{Dilute}Z\] In the above reaction, Z is
question_answer91) The solubility of a gas in water at 300 K under a pressure of 100 atm is\[4\times {{10}^{-3}}kg{{L}^{-1}}\]. Therefore, the mass of the gas in kg dissolved 250 mL of water under a pressure of 250 atm at 300 K is
question_answer95) A compound A has a molecular formula\[{{C}_{2}}C{{l}_{3}}OH\]. It reduces Fehlings solution and on oxidation, gives a monocarboxylic acid B. A can be obtained by the action of chlorine on ethyl alcohol. A is
question_answer96) A certain reaction is at equilibrium at\[82{}^\circ C\] and the enthalpy change for this reaction is 21.3 kJ. The value of\[\Delta S(J{{K}^{-1}}mo{{l}^{-1}})\]for the reaction is
question_answer97) If in the reaction\[{{N}_{2}}{{O}_{4}}2NO_{2}^{-};x\] is that part of\[{{N}_{2}}{{O}_{4}}\]which dissociates, then the number of molecules at equilibrium will be
question_answer99) An aqueous solution containing 6.5 g of\[NaCl\] of 90 purity was subjected to electrolysis. After the complete electrolysis, the solution was evaporated to get solid\[NaOH\]. The volume of 1M acetic acid required to neutralise\[NaOH\] obtained above is
question_answer103) A covalent molecule\[A{{B}_{3}}\]has pyramidal structure. The number of lone pair and bond pair of electrons in the molecule a respectively
question_answer104) The reaction involved in the oil of winter green test is\[Salicylic\text{ }acid\xrightarrow[conc.{{H}_{2}}S{{O}_{4}}]{\Delta }product\]. The product is treated with\[N{{a}_{2}}C{{O}_{3}}\]solution. The missing reagent in the above reaction is
question_answer110) Among the oxides, \[M{{n}_{2}}{{O}_{7}}(I),{{V}_{2}}{{O}_{3}}(II),\] \[{{V}_{2}}{{O}_{5}}(III),CrO(IV)\]and\[C{{r}_{2}}{{O}_{3}}(V),\]the basic oxides are
question_answer133) Host cells in response to viral infections produces a low molecular weight protein, that protect other cells against further viral infection. This substance is
question_answer142) Statement I An injury to the anterior pituitary affects the growth of a person. Statement II Injury to adrenal cortex is not likely to affect secretion of corti Choose the correct option
question_answer145) A person was found to possess reduced haemoglobin content in the blood, caused due to disturbance in formation of RBCs. He is suffering from
question_answer154) A pea with white flower was crossed with another pea with white flower. When they selfed, the\[{{F}_{2}}-\]generation produced purple and white in the ratio of\[9:7\]. The reason for the result is that
question_answer163) Which of the following rule states that Avian and mammalian forms are generally of higher size in colder region as compared to warmer region?