Solved papers for Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2008
done Chhattisgarh PMT Solved Paper-2008 Total Questions - 200
question_answer1) A ball is thrown from a point with a speed \[{{v}_{0}}\]at an angle of projection \[\text{ }\!\!\theta\!\!\text{ }\text{.}\]From the same point and at the same instant, a person starts running with a constant speed \[\frac{{{v}_{0}}}{2}\]to catch the ball. Will the person be able to catch the ball? If yes, what should be the angle of projection?
question_answer2) Spherical balls of radius R are falling in a viscous fluid of viscosity \[\eta \] with a velocity \[v.\] The retarding viscous force acting on the spherical ball is
A)
directly proportional to R but inversely proportional to \[v\]
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B)
directly proportional to both radius R and velocity \[v\]
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C)
inversely proportional to R but directly proportional to velocity \[v\]
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D)
inversely proportional to R but directly proportional to velocity \[v\]
question_answer5) What is the value of inductance L for which the current is a maximum in a series LCR circuit with C = 10 µF and \[\omega \] = 1000 s-1 ?
question_answer6) Three point charges \[\text{+}\,\text{q,}\,\text{-}\,\text{2}\,\text{q}\] and \[\text{+}\,\text{q}\] are placed at points \[(x=\,o\text{,}\,y=a,z=o\,)\] \[(x=\,o\text{,}\,y=0,z=o\,)\] and \[(x=\,a\text{,}\,y=0,z=o\,),\] respectively. The magnitude and direction of the electric dipole moment vector of this charge assembly are
A)
\[\sqrt{2}\,qa\] along \[+y\] direction
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B)
\[\sqrt{2}\,qa\] along the line joining points \[(x=0,y=0,z=0)\] and \[(x=a,y=a,z=0)\]
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C)
\[qa\] along the line joining points \[(x=0,y=0,z=0)\] and \[(x=a,y=a,z=0)\]
question_answer7) The maximum number of possible interference maxima for slit-separation equal to twice the wavelength in Young's double-slit experiment, is
question_answer8) Two spherical conductors B and C having equal radii and carrying equal charges in them repel each other with a force F when kept apart at some distance. A third spherical conductor having same radius as that of B but uncharged, is brought in contact with B, then brought in contact with C and finally removed away from both. The new force of repulsion between B and C is
question_answer10) A particle starting from the origin (0, 0) moves in a straight line in the \[(x,y)\] plane. Its coordinates at a later time are \[(\sqrt{3},3).\] The path of the particle makes with the x-axis an angle of
question_answer11) A wheel has angular acceleration of \[3.0\text{ }rad/{{s}^{2}}\] and an initial angular speed of 2.00 rad/s. In a time of 2 s it has rotated through an angle (in radian) of
question_answer12) The resistance of an ammeter is 130 and its scale is graduated for a current upto 100 A. After an additional shunt has been connected to this ammeter it becomes possible to measure currents upto 750 A by this meter. The value of shunt resistance is
question_answer13) Under the influence of a uniform magnetic field a charged particle is moving in a circle of radius R with constant speed v. The time period of the motion
question_answer14) The primary and secondary coils of a transformer have 50 and 1500 rums respectively. If the magnetic flux ^ linked with the primary coil is given by\[\phi ={{\phi }_{0}}+4t,\] where \[\phi \] is in we ber, t is time in second and \[{{\phi }_{0}}\] is a constant, the output voltage across die secondary coil is
question_answer15) Two condensers, one of capacity C and the other of capacity \[\frac{C}{2'}\] are connected to a V volt battery, as shown. The work done in charging fully both a condensers is
question_answer16) A uniform rod AB of length; and mass m is free to rotate about point A. The rod is released from rest in the horizontal position. Given that moment of inertia of the rod about A is \[\frac{m{{l}^{2}}}{3},\]the initial angular acceleration of the rod will be
question_answer17) The frequency of a light wave in a material is \[2\times {{10}^{14}}\]Hz and wavelength is \[5000\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]. The refractive index of material will be
question_answer18) A car moves from X to Y with a uniform speed V y and returns to Y with a uniform speed \[{{v}_{d.}}\] The average speed for this round trip is T. The minimum time taken by the particle to travel half of the amplitude from the equilibrium position is
question_answer19) A particle executes simple harmonic scillation with an amplitude \[a\]. The period of oscillation is T. The minimum time taken by the particle to travel half of the amplitude from the equilibrium position is
question_answer20) A block B is pushed momentarily along a horizontal surface with an initial velocity v. If µ is the coefficient of sliding friction between B and the surface, block B will come to rest after a time
question_answer21) 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 those of B will be \[\left( \frac{1}{e} \right)\] after a time interval
question_answer22) A transformer is used to light a 100 W and 110 V lamp from a 220 V mains. If the main current is 0.5 A, the efficiency of the "transformer is approximately
question_answer24) A steady current of 1.5 A flows through a copper voltameter for 10 min. If the electrochemical equivalent of copper is \[30\times {{10}^{-5}}g\,{{C}^{-1}},\]the mass of copper deposited on the electrode will be
question_answer25) In a mass spectrometer used for measuring the masses of ions, the ions are initially accelerated by an electric potential V and then made to describe semicircular paths of radius R using a magnetic field B. If V and B are kept constant, the ratio \[\left( \frac{\text{charge}\,\text{on}\,\text{the}\,\text{ion}}{\text{mass}\,\text{of}\,\text{the}\,\text{ion}} \right)\]will be proportional to
question_answer26) Three resistances P, Q, R each of \[2\,\Omega \] and an unknown resistance S form the four arms of a Wheat stone's bridge circuit. When a resistance of \[6\,\Omega \] is connected in parallel to S the bridge gets balanced. What is the value of S?
question_answer27) Two satellites of earth, \[{{S}_{2.}}\] and \[{{S}_{1,}}\] are moving in the same orbit. The mass of Si is four times the mass of \[{{S}_{2}}\] Which one of the following statements is true ?
A)
The time period of \[{{S}_{1,}}\] is four times that of\[{{S}_{2}}\]
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B)
The potential energies of earth and satellite in the two cases are equal
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C)
\[{{S}_{1}}\]and \[{{S}_{2}}\] are moving with the same speed
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D)
The kinetic energies of the two satellites are equal
question_answer28) An observer moves towards a stationary source of sound, with a velocity one-fifth of the velocity of sound. What is the percentage increase in the apparent frequency ?
question_answer29) A coil of inductance 300 m H and resistance \[2\,\Omega \] is connected to a source of voltage 2 V. The current reaches half of its steady state value in
question_answer30) The refractive index of glass is 1.520 for red light and 1.525 for blue light. Let \[{{D}_{1}}\] and \[{{D}_{2}}\] be angles of minimum deviation for red and blue light respectively in a prism of this glass, then,
A)
\[{{D}_{1}}<{{D}_{2}}\]
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B)
\[{{D}_{1}}={{D}_{2}}\]
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C)
\[{{D}_{1}}\] can be less than or greater than \[{{D}_{2}}\] depending upon the angle of prism
question_answer31) A particle of mass 100 g is thrown vertically upwards with a speed of 5 m/s. The work done by the force of gravity during the time the particle goes up is
question_answer32) A mass of M kg is suspended by a weightless string. The horizontal force that is required to displace it until the string makes an angle of \[45{}^\circ \] with the initial vertical direction is
question_answer33) A force of \[\text{-F}\] \[\mathbf{\hat{k}}\] acts on 0, the origin of the coordinate system. The torque about the point \[(1,-1)\] is
question_answer34) If \[{{M}_{0}}\] is the mass of an oxygen isotope \[_{8}{{O}^{17}},\]\[{{M}_{P}}\] and \[{{M}_{n}}\] are the masses of a proton and a neutron, respectively, the nuclear binding energy of the isotope is
question_answer37) A charged oil drop is suspended in uniform field of \[3\times {{10}^{4}}V/m\] so that it neither falls nor rises. The charge on the drop will be (Take the mass of the charge \[=9.9\times {{10}^{-15}}kg\] and \[g=10m/{{s}^{2}}\])
question_answer38) A vertical spring with force constant k is fixed on a table A ball of mass m at a height h above the free upper end of the spring falls vertically on the spring, so that the spring is compressed by a distance d. The net work done in the process is
question_answer39) Dimensions of resistance in an electrical circuit in terms of dimension of mass M, of length L, of time T and of current \[I,\] would be
question_answer40) An alpha nucleus of energy \[\frac{1}{2}m{{v}^{2}}\] bombards a heavy nuclear target of charge Ze. Then the distance of closest approach for the alpha nucleus will be proportional to
question_answer41) The work of 146 kJ is performed in order to compress one kilo mole of a gas adiabatically and in this process the temperature of the gas increases by \[7{}^\circ C\]. The gas is\[\text{(R=8}\text{.3J}\,\text{mo}{{\text{l}}^{\text{-1}}}{{\text{K}}^{\text{01}}}\text{)}\]
question_answer42) If \[{{g}_{E}}\] and \[{{g}_{M}}\] are the accelerations due to gravity on the surfaces of the earth and the moon respectively and if Millikan's oil drop experiment could be performed on the two surfaces, one will find the ratio \[\frac{\text{electronic}\,\text{charge}\,\text{on}\,\text{the}\,\text{moon}}{\text{electronic}\,\text{charge}\,\text{on}\,\text{the}\,\text{earth}}\]to be
question_answer44) A frame made of metallic wire enclosing a surface area A is covered with a soap film. If the area of the frame of metallic wire is reduced by 50%,the energy of the soap film will be changed by
question_answer45) Mercury boils at \[367{}^\circ C\]. However, mercury thermometers are made such that they can measure temperature up to \[500{}^\circ C\]. This is done by
A)
maintaining vacuum above mercury column in the stem of the thermometer
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B)
filling nitrogen gas at high pressure above the mercury column
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C)
filling oxygen gas at high pressure above the mercury column
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D)
filling nitrogen gas at low pressure above the mercury column
question_answer46) In a laboratory four convex lenses \[{{L}_{1}},{{L}_{2}},{{L}_{3}}\] and \[{{L}_{4}}\] of focal lengths 2, 4, 6 and 8 cm, respectively are available. Two of these lenses form a telescope of length 10 cm and magnifying power 4. The objective and eye lenses are respectively
question_answer47) A symmetric double convex lens is cut in two equal parts by a plane perpendicular to the principal axis. If the power of the original lens is 4D, the power of a cut lens will be
question_answer48) Two non-ideal batteries are connected in parallel. Consider the following statements. The equivalent emf is smaller than either of the two emf s. (ii) The equivalent internal resistance is smaller than either of the two internal resistances.
question_answer57) In an oxidation-reduction reaction, \[MnO_{4}^{-}\] ion is converted to \[M{{n}^{2+}}\]What is the number of equivalents of \[KMn{{O}_{4}}\] \[(mol.\text{ }wt.=158)\]present in \[250\text{ }mL\]of \[0.04\text{ }M\]\[KMn{{O}_{4}}\] solution?
question_answer59) The heat of formation of \[(Co)g\] and \[C{{O}_{2}}(g)\] are \[\Delta H=-110\] and \[\Delta H=-393kJ\,\,mo{{l}^{-1}}\]respectively. What is the heat of reaction \[(\Delta H)'\] (in\[kJ\text{ }mo{{1}^{-1}}\]) for the following reaction? \[CO(g)+\frac{1}{2}{{O}_{2}}(g)\xrightarrow{{}}C{{O}_{2}}(g)\]
question_answer60) What is the wavelength (in m) of a particle of mass \[6.62\times {{10}^{-29}}g\]moving with a velocity of \[{{10}^{3}}\text{ }m{{s}^{-1}}\] ?
question_answer61) What is the electrode potential (in V) of the following electrode at\[{{25}^{o}}C\]? \[N{{i}^{2+}}(0.1M)|Ni(s)\] (Standard reaction potential of \[N{{i}^{2+}}|Ni\] is\[-0.25V,\] \[\frac{2,303RT}{F}=0.06\])
question_answer62) What is the equation for the equilibrium constant \[({{K}_{c}})\] for the following reaction? \[\frac{1}{2}A(g)+\frac{1}{3}B(g)\frac{2}{3}C(g)\]
question_answer65) A \[0.5\text{ }g/L\]solution of glucose is found to be isotonic with a \[2.5\text{ }g/L\]solution of an organ:: compound. What will be the molecular weight of that organic compound?
question_answer71) The reaction,\[{{C}_{6}}{{H}_{5}}CHO+C{{H}_{3}}COO{{C}_{2}}{{H}_{5}}\xrightarrow{{}}\] \[{{C}_{6}}{{H}_{5}}CH=CHCOO{{C}_{2}}{{H}_{5}},\] is called
question_answer74) What are the values of \[{{n}_{1}}\] and \[{{n}_{2}}\] respectively for \[{{H}_{\beta }}\] line in the Lyman series of hydrogen atomic spectrum 44?
question_answer76) A \[0.1\] aqueous solution of a weak acid is 2% ionised. If the ionic product of water is \[1\times {{10}^{-4}},\]the \[[O{{H}^{-}}]\] is
question_answer81) In an oxidation reduction reaction, dichromate \[(C{{r}_{2}}O_{7}^{2-})\] ion is reduced to \[C{{r}^{3+}}\] ion. The equivalent weight of \[{{K}_{2}}C{{r}_{2}}{{O}_{7}}\] in this reaction is
question_answer83) \[9.2\text{ }g\]\[{{N}_{3}}{{O}_{4}}\] is heated in a \[1I,\] vessel till equilibrium state is established \[{{N}_{2}}{{O}_{4}}(g)2N{{O}_{2}}(g)\] In equilibrium state 50% \[{{N}_{2}}{{O}_{4}}\] was dissociated, equilibrium constant will be (mol. wt. of \[{{N}_{2}}{{O}_{4}}=92\])
question_answer86) The atomic number of an element 'M' is 26. How many electrons are present in the M-shell of the element in its \[{{M}^{3+}}\] state?
question_answer95) IUPAC name of\[C{{H}_{3}}-C{{H}_{2}}-\underset{C{{H}_{3}}}{\mathop{\underset{|}{\mathop{\underset{C{{H}_{2}}}{\mathop{\underset{|}{\mathop{C}}\,}}\,}}\,}}\,H-\underset{C{{H}_{3}}}{\mathop{\underset{|}{\mathop{C}}\,}}\,=C{{H}_{2}}\] is
question_answer99) Methyl alcohol when reacted with carbon monoxide using cobalt or rhodium as catalyst, compound 'A' is formed. On heating 'A' with \[HI\] in the presence of red phosphorus as catalyst 'B' is formed. Identify 'B'.
question_answer193) A bacterium divides after every 35 min., if a culture containing 105 cells per mL is grown, then cell concentration per mL after 175 min. will be