Solved papers for RAJASTHAN PMT Rajasthan - PMT Solved Paper-2008
done Rajasthan - PMT Solved Paper-2008 Total Questions - 300
question_answer1) A ball is thrown from a point with a speed \[{{v}_{0}}\] at an angle of projection\[\theta \]. 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 n 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 both radius R and 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 \[C=10\,\mu F\] and \[\omega =1000\,{{s}^{-1}}\]?
question_answer6) Three point charges \[+q,-2q\] and \[+q\] are placed at points \[(x=0,y=a,x=0),\]\[(x=0,y=0,z=0)\] and \[(x=a,y=0,z=0),\] 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 Youngs 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\[(\sqrt{3},y).\]The path of the particle makes with the \[x\]-axis an angle of
question_answer11) 11. A wheel has angular acceleration of \[3.0\,rad\,/{{s}^{2}}\] 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 \[13\,\Omega \] and its scale is graduated for a current up to 100 A. After an additional shunt has been connected to this ammeter it becomes possible to measure currents up to 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 turns respectively. If the magnetic flux \[\phi \] linked with the primary coil is given by\[\phi ={{\phi }_{0}}\]\[+4t,\] where \[\phi \] is in weber, t is time in second and \[{{\phi }_{0}}\] is a constant, the output voltage across the 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 the condensers is
question_answer16) A uniform rod AS of length and mass m is free to rotate about point A. The rod is released from rest in the horizontal position. Given that the 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 \[{{v}_{u}}\]and returns to Y with a uniform speed\[{{v}_{d.}}\] The average speed for this round trip is
question_answer19) A particle executes simple harmonic oscillation 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 \[\mu \] 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 c = 0 they have the same number of nuclei. The ratio of number of nuclei of A to those of B will be \[{{\left( \frac{1}{e} \right)}^{2}}\] 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 stones 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, \[{{S}_{1}}\] and \[{{S}_{2,}}\] are moving in the same orbit. The mass of \[{{S}_{1}}\] 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 mH 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_answer34) If \[{{M}_{O}}\] 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 \[g=10\,m/{{s}^{2}}\])
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 \[(R=8.3\,J\,mo{{l}^{-1}}\,{{K}^{-1}})\]
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 Millikans 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. (i) The equivalent emf is smaller than either of the two emfs. (ii) The equivalent internal resistance is smaller than either of the two internal resistances.
question_answer51) 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_answer52) A thin rectangular magnet suspended freely has a period of oscillation equal to T. Now it is broken into two equal halves (each having half of the original length) and one piece is made to oscillate freely in the same field. If its period of oscillation is T, the ratio T/T is
question_answer54) A spring balance is attached to the ceiling of a lift. A man hangs his bag on the spring and the spring reads 49 N, when the lift is stationary. If the lift moves downward with an acceleration of \[5\,m/{{s}^{2}},\] the reading of the spring balance will be
question_answer55) 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)
\[\frac{30E}{100.5}\]
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B)
\[\frac{30E}{100-0.5}\]
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C)
\[\frac{30(E-0.5i)}{100},\]where \[i\]is the current in the potentiometer wire
question_answer57) The thermo-emf of a thermocouple is \[25\mu V{{/}^{\text{o}}}C\] 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_answer58) The negative Zn pole of Daniell cell, sending a constant current through a circuit, decreases in mass by 0.13 gin 30 min. If the electrochemical equivalent of Zn and Cu are 32.5 and 31.5 respectively, the increase in the mass of the positive Cu pole in this time is
question_answer60) The time period of a satellite of earth is 5 h. If the separation between the earth and the satellite is increased to 4 times the previous value, the new time period will become
question_answer61) A particle performing uniform circular motion has angular momentum L. If its angular frequency is doubled and its kinetic energy is halved, then the new angular momentum is
question_answer62) Two spherical bodies of mass M and 5M and radii R and 2R respectively are released in free space with initial separation between their centres equal to 12.R. If they attract each other due to gravitational force only, then the distance covered by the smaller body just before collision is
question_answer63) The difference in the variation of resistance with temperature in a metal and a semiconductor arises essentially due to the difference in the
A)
crystal structure
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B)
variation of the number of charge carriers with temperature
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C)
type of bonding
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D)
variation of scattering mechanism with temperature
question_answer64) A car moving with a speed of 50 km/h, can be stopped by brakes after at least 6 m. If the same car is moving at a speed of 100 km/h, the minimum stopping distance is
question_answer65) A boy playing on the roof of a 10 m high building throws a ball with a speed of 10 m/s at an angle of \[30{}^\circ \] with the horizontal. How far from the throwing point will the ball be at the height of 10 m from the ground? \[(g=10\,m/{{s}^{2}},\,\sin {{30}^{o}}=1/2,\,\cos {{30}^{o}}=\sqrt{3}/2)\]
question_answer66) An ammeter reads up to 1A. Its internal resistance is 0.81\[\Omega \] To increase the range to 10 A the value of the required shunt is
question_answer68) Three forces start acting simultaneously on a particle moving with velocity\[\mathbf{\vec{v}}.\]These forces are represented in magnitude and direction by the three sides of a triangle ABC (as shown). The particle will now move with velocity
question_answer69) If the electric flux entering and leaving an enclosed surface respectively is\[{{\phi }_{1}}\] and\[{{\phi }_{2}}\] the electric charge inside the surface will be
question_answer70) A marble block of mass 2 kg lying on ice when given a velocity of 6 m/s is stopped by friction in 10 s. Then the coefficient of friction is
question_answer72) A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m. If a force P is applied at the free end of the rope, the force exerted by the rope on the block is
question_answer73) A light spring balance hangs from the hook of the other light spring balance and a block of mass M kg hangs from the former one. Then the true statement about the scale reading is
A)
both the scales read M kg each
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B)
the scale of the lower one reads M kg and of the upper one zero
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C)
the reading of the two scales can be anything but the sum of the readings will be M kg
question_answer74) A wire suspended vertically from one of its ends is stretched by attaching a weight of 200 N to the lower end. The weight stretches the wire by 1 mm. Then the elastic energy stored in the wire is
question_answer75) A mass M is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes SHM of time period T. If the mass is increased by m, the time period becomes \[\text{5T/3,}\]then the ratio of\[\frac{m}{M}\]is
question_answer77) The length of a simple pendulum executing simple harmonic motion is increased by 21%. The percentage increase in the time period of the pendulum of increased length is
question_answer78) The displacement y of wave travelling in the x-direction is given by \[y={{10}^{-4}}\sin \left( 600t-2x+\frac{\pi }{3} \right)metre,\] where, x is expressed in metres and t in seconds. The speed of the wave motion, in Ms-1 is
question_answer79) When the current changes from +2A to - 2A in 0.05 s, an emf of 8V is induced in a coil. The coefficient of self-induction of the coil is
question_answer80) In an oscillating LC circuit the maximum charge on the capacitor is\[Q.\]The charge on the capacitor when the energy is stored equally between the electric and magnetic fields is
question_answer81) A radioactive sample at any instant has its disintegration rate 5000 disintegrations per minute. After 5 min, the rate is 1250 disintegrations per min. Then, the decay constant (per minute) is
question_answer82) A nucleus with Z=92 emits the following in a sequence: \[\alpha ,\,\alpha ,\,{{\beta }^{-}},\,{{\beta }^{-}},\,\alpha ,\,\alpha ,\,\alpha ,\,\alpha ,\,{{\beta }^{-}},\,{{\beta }^{-}},\,\alpha ,\,{{\beta }^{+}},\,{{\beta }^{+}},\,\alpha \]. The Z of the resulting nucleus is
question_answer84) A. sheet of aluminium foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitor
question_answer87) The coordinates of a moving particle at any time t are given by \[x=\alpha {{t}^{3}}\] and\[y={{t}^{3}}.\] The speed of the particle at time t is given by
question_answer88) During the adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio \[{{\text{C}}_{\text{p}}}\text{/}{{\text{C}}_{\text{v}}}\] for the gas is
question_answer90) A spring of spring constant \[5\times {{10}^{3}}\,N/m\] is stretched initially by 5 cm from the unstretched position. Then the work required to stretch it further by another 5 cm is
question_answer91) 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_answer92) A body executes simple harmonic motion. The potential energy (PE), the kinetic energy (KE) and total energy (TE) are measured as function of displacement x. Which of the following statements is true?
question_answer94) 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 \[L{{i}^{2+}}\] is
question_answer95) A rocket with a lift-off mass \[3.5\,\times {{10}^{4}}\,kg\] is blasted upwards with an initial acceleration of \[10\,m/{{s}^{2}}\]. Then the initial thrust of the blast is
question_answer99) According to Newtons law of cooling, the rate of cooling of a body is proportional to\[{{(\Delta )}^{n}},\] where\[\Delta \] is the difference of the temperature of the body and the surroundings, and n is equal to
question_answer100) The length of a given cylindrical wire is increased by 100%. Due to the consequent decrease in diameter the change in the resistance of the wire will be
question_answer107) 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. wt. =158) present in \[250\,\,mL\] of \[0.04\,\,M\,\,KMn{{O}_{4}}\] solution?
question_answer109) The heat of formation of \[CO(g)\] and \[C{{O}_{2}}(g)\] are \[\Delta H=-110\] and \[\Delta H=-393\,\,kJ\,\,mo{{l}^{-1}}\] respectively. What is the heat of reaction\[(\Delta H)\] (in\[kJ\,\,mo{{l}^{-1}})\] for the following reaction? \[CO(g)+\frac{1}{2}{{O}_{2}}(g)\xrightarrow{{}}C{{O}_{2}}(g)\]
question_answer110) What is the wavelength (in\[m\]) of a particle of mass \[6.62\times {{10}^{-29}}g\] moving with a velocity of\[{{10}^{3}}\,\,m{{s}^{-1}}\]?
question_answer111) What is the electrode potential (in\[V\]) of the following electrode at\[{{25}^{o}}C\]? \[N{{i}^{2+}}(0.1\,\,M)|Ni(s)\] (Standard reaction potential of \[N{{i}^{2+}}|Ni\] is \[-0.25\,\,V,\,\,\frac{2.303RT}{F}=0.06)\]
question_answer112) 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_answer115) \[A\,\,0.5\,\,g/L\] solution of glucose is found to be isotonic with a \[2.5\,\,g/L\] solution of an organic compound. What will be the molecular weight of that organic compound?
question_answer119) If \[50%\] of a radioactive substance dissociates in\[15\,\,\min \], then the time taken by substance to dissociate \[99%\] will be
question_answer121) 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_answer124) What are the values of \[{{n}_{1}}\] and \[{{n}_{2}}\] respectively for \[{{H}_{\beta }}\] line in the Lyman series of hydrogen atomic spectrum?
question_answer126) \[A\,\,0.1\] aqueous solution of a weak acid is\[2%\] ionized. If the ionic product of water is \[1\times {{10}^{-4}},\] the \[[O{{H}^{-}}]\] is
question_answer131) 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 molecular weight
question_answer133) \[9.2\,\,g\,\,{{N}_{2}}{{O}_{4}}\]is heated in a \[1\,\,L\] vessel till equilibrium state is established \[{{N}_{2}}{{O}_{4}}(g)2N{{O}_{2}}(g)\] In equilibrium state 50% N^4 was dissociated, equilibrium constant will be \[(\text{mol}.\text{wt}\text{.}\,\,\text{of}\,\,{{N}_{2}}{{O}_{4}}=92)\]
question_answer136) 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_answer149) 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_answer151) The de-Broglie wavelength of a tennis ball of mass \[60\,\,g\] moving with a velocity of \[10\,\,m/s\] is approximately (Plancks constant, \[h=6.63\times {{10}^{-34}}\,\,Js)\]
question_answer152) How many unit cells are present in a cube shaped ideal crystal of \[NaCl\] of mass\[1.00\,\,g\]? [Atomic masses:\[Na=23,\,\,Cl=35.5]\]
question_answer159) Among the following four structures \[I\] to\[IV\]: \[\underset{(I)}{\mathop{{{C}_{2}}{{H}_{5}}-\overset{\begin{smallmatrix} C{{H}_{3}} \\ | \end{smallmatrix}}{\mathop{C}}\,H-{{C}_{3}}{{H}_{7}}}}\,\]\[\underset{(II)}{\mathop{C{{H}_{3}}-\overset{\begin{smallmatrix} O \\ |\,\,| \end{smallmatrix}}{\mathop{C}}\,-\overset{\begin{smallmatrix} C{{H}_{3}} \\ |\,\,| \end{smallmatrix}}{\mathop{C}}\,H-{{C}_{2}}{{H}_{5}}}}\,\] \[\underset{\,\,\,\,\,\,\,\,\,\,\,\,(III)}{\mathop{H-{{\underset{\begin{smallmatrix} | \\ H \end{smallmatrix}}{\overset{\begin{smallmatrix} H \\ | \end{smallmatrix}}{\mathop{C}}}\,}^{\oplus }}}}\,\] \[\underset{(IV)}{\mathop{{{C}_{2}}{{H}_{5}}-\overset{\begin{smallmatrix} C{{H}_{3}} \\ | \end{smallmatrix}}{\mathop{C}}\,H-{{C}_{2}}{{H}_{5}}}}\,\] it is true that
question_answer162) The atomic numbers of vanadium\[(V)\], chromium\[(Cr)\], manganese \[(Mn)\] and iron \[(Fe)\] are respectively \[23,\,\,24,\,\,25\] and\[26\]. Which one of these may be expected to have the highest second ionisation enthalpy?
question_answer163) Consider the reaction equilibrium: \[2S{{O}_{2}}(g)+{{O}_{2}}(g)2S{{O}_{3}}(g);\] \[\Delta {{H}^{o}}=-198\,kJ\] On the basis of Le-Chateliers principle, the condition favourable for the forward reaction is
A)
lowering of temperature as well as pressure
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B)
increasing temperature as well as pressure
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C)
lowering the temperature and increasing the pressure
question_answer164) For the reaction equilibrium, \[{{N}_{2}}{{O}_{4}}(g)2NO(g)\] the concentrations of \[{{N}_{2}}{{O}_{4}}\] and \[N{{O}_{2}}\] at equilibrium are \[4.8\times {{10}^{-2}}\] and \[1.2\times {{10}^{-2}}mol\,\,{{L}^{-1}}\]respectively. The value of \[{{K}_{c}}\] for the reaction is
question_answer165) The solubility in water of a sparingly soluble salt \[A{{B}_{2}}\] is\[1.0\times {{10}^{-5}}mol\,\,{{L}^{-1}}\]. Its solubility product number will be
question_answer166) When during electrolysis of a solution of \[AgN{{O}_{3}},\,\,9650\]coulombs of charge pass through the electroplating bath, the mass of silver deposited on the cathode will be
question_answer167) For the redox reaction \[Zn(s)+C{{u}^{2+}}(0.1\,\,M)\to Z{{n}^{2+}}(1M)+Cu(s)\]taking place in a cell, \[E_{cell}^{\text{o}}\]is\[1.10\,\,volt\]. \[{{E}_{cell}}\]for the cell will be:\[\left( 2.303\frac{RT}{F}=0.0591 \right)\]
question_answer168) In a \[0.2\] molal aqueous solution of a weak acid\[H\,\,X\], the degree of ionization is\[0.3\]. Taking \[{{k}_{f}}\] for water as\[1.85\], the freezing point of the solution will be nearest to
question_answer169) \[25\,\,mL\] of a solution of barium hydroxide on titration with \[0.1\] molar solution of hydrochloric acid gave a titre value of \[35\,\,mL\]. The molarity of barium hydroxide solution was
question_answer171) If at \[298\,\,K\] the bond energies of \[C-H,\,\,C-C,\]\[C=C\] and \[H-H\] bonds are respectively \[414,\,\,347,\,\,615\] and \[435\,\,kJ\,\,mo{{l}^{-1}}\], the value of enthalpy change for the reaction \[{{H}_{2}}C=C{{H}_{2}}(g)+{{H}_{2}}(g)\xrightarrow{{}}{{H}_{2}}C-C{{H}_{2}}(g)\] at \[298\,\,K\] will be
question_answer173) In an irreversible process taking place at constant \[T\] and \[P\] and in which only pressure-volume work is being done, the change in Gibbs free energy \[(dG)\] and change in entropy\[(dS)\], satisfy the criteria
question_answer176) Standard reduction electrode potentials of three metals \[A,\,\,B\] and \[C\]are\[+0.5\,\,V,\,\,3.0\,\,V\]and \[-1.2\,\,V\] respectively. The reducing power of these metals are
question_answer182) Ammonia forms the complex ion\[{{[Cu{{(N{{H}_{3}})}_{4}}]}^{2+}}\] with copper ions in the alkaline solutions but not in acidic solutions. What is the reason for it?
A)
In acidic solutions hydration protects copper ions
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B)
In acidic solutions protons coordinate with ammonia molecules forming \[NH_{4}^{+}\] ions and \[N{{H}_{3}}\] molecules are not available
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C)
In alkaline solutions insoluble \[Cu{{(OH)}_{2}}\] is precipitated which is soluble in excess of any alkali
question_answer183) The radionuclide \[_{90}^{234}Th\] undergoes two successive \[\beta -\]decays followed by one\[\alpha -\]decay. The atomic number and the mass number respectively of the resulting radionuclide are
question_answer184) The half-life of a radioactive isotope is\[3\,\,h\]. If the initial mass of the isotope were \[256\,\,g\], the mass of it remaining undecayed after \[18\,\,h\] would be
question_answer197) The internal energy change when a system goes from state \[A\] to \[B\] is\[40\,\,kJ/mol\]. If the system goes from \[A\] to \[B\] by a reversible path and returns to state \[A\] by an irreversible path, what would be the net change in internal energy?
question_answer296) A bacterium divides after every 35 min., if a culture containing \[{{10}^{5}}\] cells per ml is grown, then cell concentration per ml after 175 min. will be