Solved papers for MGIMS WARDHA MGIMS WARDHA Solved Paper-2010
done MGIMS WARDHA Solved Paper-2010 Total Questions - 180
question_answer1) Two capacitors, one 4 pF and the other 6 pF, connected in parallel, are charged by a 100 V battery. The energy stored in the capacitors is
question_answer3) A voltmeter of resistance 998\[\Omega \] is connected across a cell of emf 2 V and internal resistance 2\[\Omega .\]The potential difference across the voltmeter is
question_answer4) A solenoid of length 50 cm and a radius of cross-section 1 cm has 1000 turns of wire wound over it. If the current carried is 5 A, the magnetic field on its axis, near the centre of the solenoid is approximately (permeability of free space \[{{\mu }_{0}}~=4\pi \times {{10}^{-7}}T-m/A\])
question_answer5) A conducting square loop of side L and resistance R moves in its plane with a uniform velocity v, perpendicular to one of its sides. A magnetic field of induction B, constant in space and time and pointing perpendicularly into the plane of the square, exists everywhere in space. The current induced in the loop is
question_answer6) A sinusoidal voltage of peak value 300 V and an angular frequency \[\omega \]= 400 rad/s is applied to series L-C-R circuit, in which R = 3\[\Omega \] L = 20 mH and C = 625 \[\mu F.\] The peak current in the circuit is
question_answer7) A circuit contains a capacitor and inductance each with negligible resistance. The capacitor is initially charged and the charging battery is disconnected. At subsequent time, the charge on the capacitor will
question_answer8) Two coherent monochromatic light beams of intensities\[I\]and 9\[I\] are superimposed. The maximum and the minimum intensities of the resultant beams are
question_answer9) In a single slit diffraction pattern, the distance between the first minimum on the left and the first minimum on the right is 5 mm. The screen on which the diffraction pattern is displayed is at a distance of 80 cm from the slit. The wavelength is \[6000{AA}\]The slit width (in mm) is about
question_answer11) A transformer of 100% efficiency has 200rums in the primary and 40000 turns in secondary. It is connected to a 220 V main supply and secondary feeds to a 100\[K\Omega \] resistance. The potential difference per turn is
question_answer14) An AC signal of 50 Hz frequency is input of a full wave rectifier using two diodes. The output frequency after full wave rectification is
question_answer15) A satellite is in a circular orbit round the earth at an altitude R above the earth's surface, where R is the radius of the earth. If g is the acceleration due to gravity on the surface of the earth the speed of the satellite is
question_answer16) The moment of inertia of a ring about one of its diameter is\[I.\]What will be its moment of inertia about a tangent parallel to the diameter?
question_answer17) A massless spring of natural length of 0.5 m and spring constant 50 N/m has one end fixed and the other end attached to mass of 250 g. The spring mass system is on a smooth floor. The mass is pulled until the length of the spring is 0.6 and then released from rest. The kinetic energy of the mass when the length of the spring is 0.5 m is
question_answer18) A disc, initially at rest, starts rotating about its own axis, with a constant angular acceleration of 0.2 rad/s2.The time taken by the disc to rotate by 10 rad is (in second)
question_answer19) A 4 m long copper wire of cross-sectional area 1.2 cm2 is stretched by a force of \[4.8\times {{10}^{3}}N,\]Young's modulus for copper is \[y=1.2\times {{10}^{11}}N/{{m}^{2}}\]the increase in length of the wire is
question_answer20) A stationary police car sounds a siren with a frequency of 990 Hz. If the speed of sound is 330 m/s, an observer, driving towards the car with a speed of 33 m/s, will hear a frequency of
question_answer21) Given that the surface tension of water is 75 dyne/cm, its density 1 g/c and angle of contact zero, the height to which water rises m a capillary tube of 1 mm diameter is (Take g= 10 m/s2)
question_answer22) An ideal gas heat engine operates in Carnot cycle between \[227{}^\circ C\] and \[127{}^\circ C\]. It absorbs \[6\times {{10}^{4}}cal\]of heat at higher temperature. Amount of heat converted into work is
question_answer27) \[_{92}{{U}^{238}}\]on absorbing a neutron goes over to \[_{92}{{U}^{239}}.\] This nucleus emits an electron to go over to neptunium which on further emitting an electron goes over to plutonium. The resulting plutonium can be expressed as
question_answer29) A magnetic Held of \[2\times {{10}^{-2}}T\]acts at right angles to a coil of area 100 cm2 with 50 turns. The average emf induced in the coil is 0.1 V. When it is removed from the field in time r, the value of t is
question_answer30) A battery of four cells in series, each having an emf of 1.4V and an internal resistance of \[2\Omega \]is to be used to charge a small 2 V accumulator of negligible internal resistance. What is the charging current?
question_answer31) If the energy of a 100 \[\mu F\] capacitor charged to 6 kV could all be used to lift a 50 kg mass, what would be the greatest vertical height through which mass could be raised?
question_answer32) A pan containing a layer of uniform thickness of ice is placed on a circular turntable with its centre coinciding with the centre of the turntable. The turntable is now rotated at a constant angular velocity about a vertical axis passing through its centre and the driving torque is withdrawn. There is no friction between the table and the pivot. The pan rotates with the table. As the ice melts
A)
the angular velocity of the system decreases
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B)
the angular velocity of the system increases
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C)
the angular velocity of the system remains unchanged
question_answer33) Two satellites \[{{S}_{1}}\] and \[{{S}_{2}}\] revolve round a planet in coplanar circular orbits in the same sense. Their periods of revolution are 1 h and 8 h respectively. The radius of the orbit of \[{{S}_{1}}\] is 104 km. The speed of \[{{S}_{2}}\]relative to \[{{S}_{1}}\] when they are closest, in km/h is
question_answer34) Two pendulums of lengths 100 cm and 121 cm start vibrating. At some instant the two are at the mean position in the same phase. After how many vibrations of the longer pendulum will the two be in the same phase at the mean position again?
question_answer36) A disc of a siren containing 60 holes rotates at a constant speed of 360 rpm. The emitted sound is in unison with a tuning fork of frequency
question_answer38) The gas in a vessel is subjected to a pressure of 20 atm at a temperature 27°C. The pressure of the gas in a vessel after one-half of the gas is released from the vessel and the temperature of the remainder is raised by 50°C is
question_answer39) If the binding energy of the electron in a hydrogen atom is 13.6 eV, the energy required to remove the electron from the first excited state of Li2+ is
question_answer42) According to Newton's law of cooling, the rate of cooling of a body is proportional to\[{{(\Delta \theta )}^{n}},\] where \[\Delta \theta \] is the difference of the temperature of the body and the surroundings, and n is equal to
question_answer44) A metal wire of linear mass density of 9.8 g/m is stretched with a tension of 10 kg-wt between two rigid supports 1 m apart. The wire passes at its middle point between the poles of a permanent magnet and it vibrates in resonance when carrying an alternating current of frequency n. The frequency n of the alternating source is
question_answer45) If the electric fluxes entering and leaving an enclosed surface respectively are\[{{\phi }_{1}}\]and \[{{\phi }_{2,}}\] the electric charge inside the surface will be
question_answer47) An ammeter reads upto 1 A. Its internal resistance is 0.81\[\Omega .\] To increase die range to 10 A, the value of the required shunt is
question_answer48) A particle performing uniform circular motion has angular momentum L. If its angular frequency is doubled and its kinetic energy halved, then the new angular momentum is
question_answer49) A circular disc X of radius R is made from an iron plate of thickness t, and another disc Y of radius 4R is made from an iron plate of thickness r/4. Then the relation between Ac moments of inertia \[{{I}_{x}}\] and \[{{I}_{\gamma }}\] is
question_answer51) The thermo-emf of a thermocouple is 25\[\mu \]V/°C at room temperature. A galvanometer of 40\[\Omega \] resistance, capable of detecting current as low as 10-5 A, is connected with the thermocouple. The smallest temperature difference that can be detected by this system is
question_answer52) The length of a wire of a potentiometer is 100 cm, and the emf of its stand and cell is E volt. It is employed to measure the emf of a battery whose internal resistance is 0.5\[\Omega \]If the balance point is obtained at \[l\] = 30 cm from the positive end, the emf of the battery is
A)
\[\frac{30E}{100.5}\]
doneclear
B)
\[\frac{30E}{100-0.5}\]
doneclear
C)
\[\frac{30(E-0.5i)}{100}\]where \[i\]is the current in the potentiometer wire
question_answer55) A particle of mass M and charge \[Q\] moving with velocity \[\mathbf{\vec{V}}\] describes a circular path of radius R when subjected to a uniform transverse magnetic field of induction B. The work done by the field when the particle completes one full circle is
question_answer56) The neutral temperature of a thermocouple is \[3000{}^\circ C\]. What is the inversion temperature, if the temperature of cold junction is \[10{}^\circ C\]?
question_answer57) An L-C-R series circuit consists of a resistance of 10 \[\Omega \] a capacitor of reactance 6.0 \[\Omega \]and an inductor coil. The circuit is found to resonate when put across a 300 V, 100 Hz supply- The inductance of coil is (take \[\pi \] = 3)
question_answer58) A wave travelling along positive \[x\]-axis is given by \[y\] = A sin \[(\omega t-kx).\] If it is reflected from rigid boundary such that 80% amplitude is reflected then equation of reflected wave is
question_answer60) A 1 kg stone at the end of 1 m long string is whirled in a vertical circle at constant speed of 4 m/s. The tension in the string is 6 N, when the stone is at
question_answer67) From elementry molecular orbital theory we can give the electronic configuration of the singly positive nitrogen molecular ion,\[N_{2}^{+}\]as
question_answer70) Calcium bums in nitrogen to produce a white powder which dissolves in sufficient water to produce a gas A and an alkaline solution. The solution on exposure to air produces a thin solid layer of B on the surface. The compounds A and B will be
question_answer76) A solution contains\[25%\text{ }Hp,\text{ }25%\,{{C}_{2}}{{H}_{5}}OH\] and 50%\[C{{H}_{3}}COOH\]by mass. The mole fraction of\[{{H}_{2}}O\]would be
question_answer83) What is the product B in the following reaction sequence? \[C{{H}_{3}}-\overset{\begin{smallmatrix} O \\ |\,| \end{smallmatrix}}{\mathop{C}}\,-C{{H}_{3}}\xrightarrow{KCN/{{H}_{2}}S{{O}_{4}}}A\xrightarrow{LiAl{{H}_{4}}}B\]
question_answer87) \[B\xleftarrow[{}]{Lindlar's\,catayst/{{H}_{2}}}RC\equiv CR\xrightarrow{Na/N{{H}_{3}}}A,\] A and B are geometrical isomers \[(RCH=CHR)\].
question_answer93) The IUPAC name for the formula \[C{{H}_{3}}\overset{\begin{smallmatrix} C{{H}_{3}} \\ | \end{smallmatrix}}{\mathop{C}}\,=\overset{\begin{smallmatrix} H \\ | \end{smallmatrix}}{\mathop{C}}\,COOH\]is
question_answer96) An element with atomic number 84 and mass number 218 loses one a-particle and two\[\beta -\] particles in three successive stages. The resulting element will have
question_answer101) A gaseous mixture contains\[56g{{N}_{3}},44gC{{O}_{2}}\] and\[16gC{{H}_{4}}\]. The total pressure of the mixture is 720 mm Hg. What is the partial pressure of\[C{{H}_{4}}\]?
question_answer117) The crystal system of a compound with unit cell dimensions,\[a=0.387,\text{ }b=0.387\]and\[c=\]\[0.504\text{ }nm\]and\[\alpha =\beta =90{}^\circ \]and\[\gamma =120{}^\circ \]is
question_answer120) An organic substance containing carbon, hydrogen and oxygen gave the following percentage composition. \[C=40.687%;\text{ }H=5.085%\text{ }and\text{ }O=54.228%\] What is the empirical formula of the compound?
question_answer127) The maintenance of internal favourable conditions by a self-regulated mechanisms in spite of the fact that there are changes in environment, is known as
question_answer136) The linkage map of X-chromosome of fruit-fly has 66 units, with yellow body gene (y) at one end and bobbed hair gene at the other end. The recombination frequency between these two genes (y and b) should be
question_answer138) Which one of the following conditions though harmful in itself, is also a potential saviour from a mosquito bome infectious disease?
question_answer143) During its life cycle, Fasciola hepatica (liver fluke) infects its intermediate host and primary host at the following larval stages respectively
question_answer146) Down's syndrome is caused by an extra copy of chromosome number 21. What percentage of a normal father would be affected by this disorder?
question_answer170) In which kingdom, would you classify the archaea and nitrogen-fixing organisms. If the five-kingdom system of classification is used?