Solved papers for MGIMS WARDHA MGIMS WARDHA Solved Paper-2008
done MGIMS WARDHA Solved Paper-2008 Total Questions - 180
question_answer1) A beam of light of wavelength 600 nm from a distant source falls on a single slit 1 mm wide and the resulting diffraction pattern is observed on a screen 2 m away. The distance between s the first dark fringes on either side of the central bright fringe is
question_answer2) A battery of emf 10 V and internal resistance 3 0 is connected to a resistor. The current in the circuit is 0.5 A. The terminal voltage of the battery when the circuit is closed is
question_answer3) A galvanometer coil has a resistance of 15\[\Omega \] and gives full scale deflection for a current of 4 mA. To convert it to an ammeter of range 0 to 6A
A)
10 m\[\Omega \] resistance is to be connected in parallel to the galvanometer
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B)
10 m\[\Omega \] resistance is to be connected in series with the galvanometer
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C)
0.1\[\Omega \]resistance is to be connected in D parallel to the galvanometer
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D)
0.1\[\Omega \] in resistance is to be connected in series with the galvanometer
question_answer5) A parallel plate air capacitor has a capacitance C. When it is half filled with a dielectric of dielectric constant 5, the percentage increase in the capacitance will be
question_answer6) The specific charge of a proton is \[9.6\times {{10}^{7}}\,\,C\,\text{k}{{\text{g}}^{-1}}.\]The specific charge of an alpha particle will be
question_answer7) When light of wavelength 300 nm falls on a photoelectric emitter, photoelectrons are liberated. For another emitter, light of wavelength 600 nm is sufficient for liberating photoelectrons. The ratio of the work function of the two emitters is
question_answer8) If \[{{\lambda }_{1}}\] and \[{{\lambda }_{2}}\] are the wavelengths of the first members of the Lyman and Paschen series respectively, then \[{{\lambda }_{1}}\]:\[{{\lambda }_{2}}\] is
question_answer9) Activity of a radioactive sample decreases to \[{{(1/3)}^{rd}}\]of its original value in 3 days. Then, in 9 days its activity will become
question_answer13) Specific rotation of sugar solution is O.5 deg kg. 200 kgm-3 of impure sugar solution is taken in a sample polarimeter tube of length 20 cm and optical rotation is found to be 19°. The percentage of purity of sugar is
question_answer14) A simple pendulum has a length \[l\] and the mass of the bob is m. The bob is given a charge q coulomb. The pendulum is suspended between the vertical plates of a charged parallel plate capacitor. If E is the electric field strength between the plates, the time period of the pendulum is given by
question_answer15) A gang capacitor is formed by interlocking a number of plates as shown in figure. The distance between the consecutive plates is 0.885 cm and the overlapping area of the plates is 5 cm2. The capacity of the unit is
question_answer16) A satellite in a circular orbit of radius R has a period of 4 h. Another satellite with orbital radius 3 R around the same planet will have a period (in hours)
question_answer19) A battery consists of a variable number (n) of identical cells, each having an internal resistance r connected in series. The terminals of the battery are short-circuited. A graph of current (\[l\] in the circuit versus the number of cells will be as shown in figure
question_answer20) A tuning fork A produces 4 beats/s with another tuning fork B of frequency 320 Hz, On filling one of the prongs of A 4 beats/s are again heard when sounded with the same font B. Then, the frequency of the fork A before filling is
question_answer22) The equation of a simple harmonic wave is given by y = 5 sin \[\frac{\pi }{2}\] (100 t - x), where x and y are in metre and time is in second. The period of the wave in second will be
question_answer23) In a LCR series circuit, the potential difference between the terminals of the inductance is 60 V, between the terminals of the capacitor is 30 V and that across the resistance is 40 V. Then, supply voltage will be equal to
question_answer24) A solenoid 1.5 m long and 0.4 cm in diameter possesses 10 turns/cm length. A current of 5 A falls through it. The magnetic field at the axis inside the solenoid is
question_answer26) A current of 6 A enters one comer P of an equilateral triangle PQR having 3 wires of resistances 2\[\Omega \] each and leaves by the comer R. Then the current \[{{I}_{1}}\] and \[{{I}_{2}}\] are
question_answer28) Maximum velocity of the photoelectrons emitted by a metal surface is \[1.2\times {{10}^{6}}m{{s}^{-1}}.\] Assuming the specific charge of the electron to be \[1.8\times {{10}^{11}}C\,k{{g}^{-1}},\]the value of the stopping potential in volt will be
question_answer30) If \[{{r}_{1}}\] and \[{{r}_{2}}\] are the radii of the atomic nuclei of mass numbers 64 and 125 respectively, then the ratio \[({{r}_{1}}/{{r}_{2}})\]is
question_answer32) A and B are two metals with threshold frequencies \[1.8\times {{10}^{14}}Hz\]and \[2.2\times {{10}^{14}}Hz.\] Two identical photons of energy 0.825 eV each are incident on them. Then photoelectrons are emitted by \[(Take\,h=6.6\times {{10}^{-34}}J-s)\]
question_answer33) In the Wheat stone's network given, \[P=10\Omega ,\]\[Q=20\Omega ,R=15\Omega ,\]\[S=30\Omega ,\]the current passing through the battery (of negligible internal resistance) is
question_answer34) Electrons in a certain energy level n = \[{{n}_{1}}\], can emit 3 spectral lines. When they are in another energy level, n - \[{{n}_{2}}\], they can emit 6 spectral lines. The orbital speed of the electrons in the orbits are in the ratio
question_answer35) A proton and a deuteron with the same initial kinetic energy enter a magnetic field in a direction perpendicular to the direction of the field. The ratio of the radii of the circular trajectories described by them is
question_answer36) Two identical capacitors each of capacitance 5 \[\mu F\] are charged to potentials 2 kV and 1 kV respectively. Their -ve ends are connected together. When the +ve ends are also connected together, the loss of energy of the system is
question_answer37) An inductance of \[\left( \frac{200}{\pi } \right)\] mH, a capacitance of \[\left( \frac{{{10}^{-3}}}{\pi } \right)\]F and a resistance of 100 are connected in series with an AC source 220 V, 50 Hz. The phase angle of the circuit is
question_answer38) A step-down transformer reduces the voltage of a transmission line from 2200 V to 220 V. The power delivered by it is 880 W and its efficiency is 88%. The input current is
question_answer39) In Young's double slit experiment with sodium vapour lamp of wavelength 589 nm and the slits 0.589 mm apart, the half angular width of the central maximum is
question_answer41) A radioactive substance contains 10000 nuclei and its half-life period is 20 days. The number of nuclei present at the end of 10 days is
question_answer43) A ray of light is travelling from glass to air. (refractive index of glass = 1.5). The angle of incidence is 50°. The deviation of the ray is
question_answer44) When the angle of incidence is 60° on the surface of a glass slab, it is found that the reflected ray is completely polarised. The velocity of light in glass is
question_answer45) The acceleration due to gravity becomes \[\left( \frac{g}{2} \right)\]g = acceleration due to gravity on the surface of the earth) at a height equal to
question_answer46) A Carnot's engine operates with source at 127°C and sink at 27°C. If the source supplies 40 kJ of heat energy, the work done by the engine is
question_answer48) An engine moving towards a wall with a velocity 50 ms-1 emits a note of 1.2 kHz. Speed of sound in air is 350 ms-1. The frequency of the note after reflection from the wall as heard by the driver of the engine is
question_answer49) A glass tube is open at both the ends. A tuning fork of frequency \[f\]resonates with the air column inside the tube. Now the tube is placed vertically inside water so that half the length of the tube is filled with water. Now the air column inside the tube is in unison with another fork of frequency \[f\] '. Then
question_answer50) In a reverse biased diode when the applied voltage changes by 1 V, the current is found to change by 0.5\[\mu A\]The reverse bias resistance of the diode is
question_answer51) A bob of mass 10 kg is attached to wire 0.3 m long. Its breaking stress is \[4.8\times {{10}^{7}}N/{{m}^{2}}.\]The area of cross-section of the wire is 10-6 m2. The maximum angular velocity with which it can be rotated in a horizontal circle is
question_answer52) Two bodies A and B have masses M and m respectively, where M > m and they are at a distance d apart. Equal force is applied to them so that they approach each other. The position where they hit each other is
question_answer53) Three particles, each of mass m gram are situated at the vertices of an equilateral triangle ABC of side \[l\] cm (as shown in the figure). The moment of inertia of the system about a line AX perpendicular to AB and in the plane of ABC, in gram-on2 units will be
question_answer54) Two discs of moment of inertia \[{{I}_{1}}\] and \[{{I}_{2}}\]and angular speeds \[{{\omega }_{1}}\] and \[{{\omega }_{2}}\] are rotating along collinear axes passing through their centre of mass and perpendicular to their plane. If the two are made to rotate combindly along the same axis the rotational KE of system will be
question_answer55) A rubber cord 10 m long is suspended vertically. How much does it strech under its own weight? (Density of rubber is \[1500\text{ }kg/{{m}^{3}},\] \[Y=5\times {{10}^{8}}N/{{m}^{2}},g=10\text{ }m/{{s}^{2}})\]
question_answer56) A brass rod of cross-sectional area 1 cm2 and length 0.2 m is compressed lengthwise by a weight of 5 kg of Young's modulus of elasticity - of brass is \[1\times {{10}^{11}}N/{{m}^{2}}\]and \[g=10\text{ }m/{{s}^{2}},\]then increase in the energy of the rod will be'
question_answer57) The value of the gas constant (R) calculated from the perfect gas equation is 8.32 J/g mol-K, whereas its value calculated from the knowledge of \[{{C}_{p}}\] and \[{{C}_{v}}\] of the gas is 1.98 cal/g mol-K. From this data value of J is
question_answer58) The maximum force in addition to the weight required to pull a wire of 5.0 cm long from the surface of water at temperature 20°C, is 728 dyne. The surface tension of water is
question_answer59) If work done in increasing the size of a soap film from \[10cm\times 6cm\]to \[10cm\times 11cm\]is \[2\times {{10}^{-4}}J\]then surface tension is
question_answer74) In a neutron induced reaction of\[_{92}^{235}U,\]the product obtained is \[_{37}^{95}Rb,\]three neutrons and an element (new nuclide). The other new nuclide is
question_answer95) The\[{{t}_{0.5}}\]of a radioactive isotope is 1.5 h. How long will it take for its activity to be reduced to\[\frac{1}{16}\]of its original value?
question_answer96) The atomic number of\[Ni\]and\[Cu\]are 28 and 29 respectively. The electronic configuration \[1{{s}^{2}},\text{ }2{{s}^{2}}\text{ }2{{p}^{6}},\text{ }3{{s}^{2}}\text{ }3{{p}^{6}}\text{ }3{{d}^{10}}\]represents
question_answer101) The concentration of a reactant X decreases from 0.1 M to 0.005 M in 40 min. If the reaction follows first order kinetics, the rate of the reaction when the concentration of X is 0.01 M will be
question_answer103) When a quantity of electricity is passed through\[CuS{{O}_{4}}\]solution, 0.16 g of copper gets deposited. If the same quantity of electricity is passed through acidulated water, then the volume of\[{{H}_{2}}\]liberated at STP will be [Given: atomic weight of\[Cu=64\]]
question_answer104) Solubility product of a salt AB is\[1\times {{10}^{-8}}{{M}^{2}}\]in a solution in which the concentration of\[{{A}^{+}}\]ions is\[{{10}^{-3}}M\]. The salt will precipitate when the concentration of\[{{B}^{-}}\]ions is kept
question_answer105) Which one of the following condition will increase the voltage of the cell represented by the equation? \[Cu(s)+A{{g}^{+}}(aq)C{{u}^{2+}}(aq)+2Ag(s)\]
A)
Increase in the dimension of\[Cu\]electrode
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B)
Increase in the dimension of\[Ag\]electrode
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C)
Increase in the concentration of\[C{{u}^{2+}}\]ions
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D)
Increase in the concentration of\[A{{g}^{+}}\]ions
question_answer107) The mass of glucose that should be dissolved in 50 g of water in order to produce the same lowering of vapour pressure as is produced by dissolving 1 g of urea in the same quantity of water is
question_answer108) Osmotic pressure observed when benzoic acid is dissolved in benzene is less than that expecteJcHrom theoretical considerations. This is because
question_answer111) For a reversible reaction \[X(g)+3Y(g)2Z(g);\] \[\Delta H=-40\,kJ,\]the standard entropies of X, Y and Z are 60,40 and \[50\text{ }J{{K}^{-1}}mo{{l}^{-1}}\]respectively. The temperature at which the above reaction attains equilibrium is about
question_answer120) For a reaction\[A+B\xrightarrow{{}}C+D\]if the concentration of A is doubled without alteming the concentration of B, the rate gets doubled. If the concentration of B is increased by nine times without alteming the concentration of A, the rate gets tripled. The order of the reaction is