Solved papers for Haryana PMT Haryana PMT Solved Paper-2010
done Haryana PMT Solved Paper-2010 Total Questions - 180
question_answer1) A steel ball of mass 0.1 kg falls freely from a height of 10 m and bounces to a height of 5.4 m from the ground. If the dissipated energy in this process is absorbed by the ball, the rise in its temperature is (specific heat of steel = 460 J-kg \[^{-10}{{C}^{-1}},g=10m{{s}^{-2}}\]
question_answer2) The fundamental frequency of a closed pipe is 220 Hz. If \[\frac{1}{4}\] of the pipe is filled with water, the frequency of the first overtone of the pipe now is
question_answer3) Two point charges -q and +q/2 are situated at the origin and at the point (a, 0, 0) respectively. The point along the X-axis where the electric field vanishes is
question_answer4) The radii of the inner and outer spheres of a condenser are 9 cm and 10 cm respectively. If the dielectric constant of the medium between the two spheres is 6 and charge on the inner sphere is 18 x 10-9 C, then the potential of inner sphere will be, if the outer sphere is earthed
question_answer5) A battery is connected to a uniform resistance wire AB and B is earthed. Which one of the following graphs below shows how the current density J varies along AB?
question_answer6) A moving coil galvanometer is converted into an ammeter reading up to 0.03 A by connecting a shunt of resistance 4r across it. and into an ammeter reading up to 0.06 A when a shunt of resistance r is connected across it. What is the maximum current which can be sent through this galvanometer if no shunt is used?
question_answer7) A capillary tube is attached horizontally to a constant head arrangement. If the radius of the capillary tube is increased by 10%, then the rate of flow of liquid will change nearly by
question_answer8) To break a wire of 1 m length, minimum 40 kg weight is required. Then the wire of the same material of double radius and 6 m length will require breaking
question_answer9) A bullet of mass m moving with velocity v strikes a suspended wooden block of mass M. If the block rises to a S haight the initial velocity of the block will be
question_answer10) A hydrogen atom emits a photon corresponding to an electron transition from n = 5 to n = 1. The recoil speed of hydrogen atom is almost (mass of proton \[\approx 1.6\times {{10}^{-27}}kg)\]
question_answer11) Numbers of nuclei of a radioactive substance at time t = 0 are 1000 and 900 at time t = 4 s. Then number of nuclei at time t = 2 s. will be
question_answer13) A body falls freely from the top of a tower. It covers 36% of the total height in the last second before striking the ground level. The height of the tower is
question_answer14) For any two vectors \[\overrightarrow{\text{A}}\]and \[\overrightarrow{\text{B}},\]if \[\overrightarrow{\text{A}}.\]\[\overrightarrow{\text{B}}=\]\[|\overrightarrow{\text{A}}\text{ }\!\!\times\!\!\text{ }\overrightarrow{\text{B}}|,\]is equal to
question_answer15) A particle is projected with a velocity v such that its range on the horizontal plane is twice the greatest height attained by it. The range of the projectile is (where g is acceleration due to gravity)
question_answer16) A body of mass 10 kg slides along a rough horizontal surface. The coefficient of friction is I\[1/\sqrt{3}\]. Taking g = \[10m/{{s}^{2}},\] the least force which acts at an angle of 30° to the horizontal is
question_answer17) When a uniform solid sphere and a disc of the same mass and of the same radius roll down an inclined smooth plane from rest to the same distance, then the ratio of the times taken by them is
question_answer18) The mass of the moon is \[\frac{1}{81}\] of the earth but gravitational pull is -\[\frac{1}{6}\]of the earth. It is due to the fact that
A)
the radius of the moon is \[\frac{81}{6}\] of the earth
doneclear
B)
the radius of the earth is \[\frac{9}{\sqrt{6}}\] of the moon
question_answer19) If the work done in blowing a bubble of volume V is W, then the work done in blowing the bubble of volume 2 V from the same soap solution will be
question_answer20) Air is filled at \[60{}^\circ C\] in a vessel of open mouth. The vessel is heated to a temperature T so that 1/4th part of air escapes. Assuming the volume of the vessel remaining constant, the value of T is
question_answer21) A gas expands with temperature according to the relation \[V=K{{T}^{2/3}}.\] what is the work done when the temperature changes by 30°C?
question_answer22) There are two spherical balls A and B of the same material with same surface, but the diameter of A is half that of B. If A and B are heated to the same temperature and then allowed to cool, then
A)
rate of cooling is same in both
doneclear
B)
rate of cooling of A is four times that of B
doneclear
C)
rate of cooling of A is twice that of B
doneclear
D)
rate of cooling of A is \[\frac{1}{4}\] times that of B
question_answer23) A pendulum has time period T in air when it is made to oscillate in water, it acquired a time period T=\[\sqrt{2}\]T. The density of the pendulum bob is equal to (density of water =1)
question_answer24) 24. Total surface area of a cathode is \[0.05\text{ }{{m}^{2}}\] and 1 A current passes through it for 1 h. Thickness of nickel deposited on the cathode is (given that density of nickel = 9 g/cc and its \[ECE=3.04\times {{10}^{-~~4}}g/C\])
question_answer25) Two bulbs consume same power when operated at 200 V and 300 V respectively. When these bulbs are connected in series across a DC source of 500 V, then
question_answer26) A winding wire which is used to frame a solenoid can bear a maximum 10 A current. If length of solenoid is 80 cm and its cross-sectional radius is 3 cm then required length of winding wire is (B = 0.2 T)
question_answer27) A wire of length L is bent in the form of a circular coil and current i is passed through it. If this coil is placed in a magnetic field then the torque acting on the coil will be maximum when the number of turns is
question_answer28) The magnetic moment produced in a substance of 1 g is \[6\times {{10}^{-7}}{{A}^{-}}{{m}^{2}}.\] If its density is \[5\text{ }g/c{{m}^{3}},\] then the intensity of magnetization in A/m will be
question_answer29) A coil of Cu wire (radius r, self-inductance L) is bent in two concentric turns each having radius \[\frac{r}{2.}\] The self-inductance is now
question_answer30) In an L-C-R circuit R=100\[\Omega \]. When capacitance C is removed, the current lags behind the voltage by \[\frac{\pi }{3}.\], when inductance L is removed, the current leads the voltage by \[\frac{\pi }{3}.\], The impedance of the circuit is
question_answer31) If maximum velocity with which an electron can be emitted from photo-cell is \[4\times {{10}^{8}}cm/s,\] the stopping potential is (mass of electron \[=9\times {{10}^{-}}^{31}kg\])
question_answer32) If the momentum of an electron is changed by \[\Delta p\] then the de-Broglie wavelength associated with it changes by 0.50%. The initial momentum of electron will be
question_answer34) A convergent beam of light is incident on a convex mirror so as to converge to a distance 12 cm from the pole of the mirror. An inverted image of the same size is formed coincident with the virtual object. What is the focal length of the mirror?
question_answer35) When a ray is refracted from one medium to another, the wavelength changes from \[6000\overset{\text{o}}{\mathop{\text{A}}}\,\] to \[4000\overset{\text{o}}{\mathop{\text{A}}}\,\]. The critical angle for the interface will be
question_answer36) A telescope using light having wavelength \[5000\overset{\text{o}}{\mathop{\text{A}}}\,\] and using lenses of focal lengths 2.5 cm and 30 cm. If the diameter of the aperture of the objective is 10 cm, then the resolving limit of telescope is
question_answer37) Light of wavelength 500 nm is used to form interference pattern in Youngs double slit experiment. A uniform glass plate of refractive index 1.5 and thickness 0.1 mm is introduced in the path of one of the interfering beams. The number of fringes which will shift the cross-wire due to this is
question_answer38) A screen is placed 50 cm from a single slit, which is illuminated with \[6000\overset{\text{o}}{\mathop{\text{A}}}\,\] light. If distance between the first and third minima in the diffraction pattern is 3 mm, the width of the slit is
question_answer39) An optical fibre communication system works on a wavelength of 1.3 \[\mu \]m. The number of subscribers it can feed if a channel requires 20 kHz are
question_answer40) When the angle of incidence on a material is \[60{}^\circ \], the reflected light is completely polarized. The velocity of the refracted ray inside the material is (in ms-1)
question_answer42) In a parallel plate capacitor the separation between the plates is 3 mm with air between them. Now a 1 mm thick layer of a material of dielectric constant 2 is introduced between the plates due to which the capacity increases. In order to bring its capacity to the original value the separation between the plates must be made
question_answer44) Two masses of 10 kg and 20 kg respectively are connected by a massless spring as shown in figure. A force of 200 N acts on the 20 kg mass. A: the instant shown, the 10 kg mass has acceleration \[12\text{ }m/{{s}^{2}}.\] What is the acceleration of 20 kg mass?
question_answer45) Under a constant pressure head, the rate of flow of liquid through a capillary tube is V. If the length of the capillary tube is doubled and the diameter of the bore is halved, the rate of flow would become
question_answer47) Sodium metal crystallizes in body centred cubic lattice with cell edge \[4.29\overset{\text{o}}{\mathop{\text{A}}}\,\]. What is the radius of sodium atom?
question_answer49) At \[450K\], \[{{K}_{p}}=2.0\times {{10}^{10}}\]/bar for the given reaction at equilibrium \[2S{{O}_{2}}(g)+{{O}_{2}}(g)2S{{O}_{3}}(g)\] What is \[{{K}_{c}}\] at this temperature?
question_answer50) The rate constant for a first order reaction is \[60{{s}^{-1}}\]. How much time it will take to reduce the concentration of the reactant to \[1/{{10}^{th}}\] of its initial value?
question_answer51) Gold numbers of protective colloids A, B, C and D are \[0.50\], \[0.01\], \[0.10\]and \[0.005\] respectively. The correct order of their protective power is
question_answer52) In the following sequence of reactions, the alkene gives the compound B. B is \[C{{H}_{3}}-CH=CH-C{{H}_{3}}\xrightarrow{{{O}_{3}}}A\xrightarrow{{{H}_{2}}O/Zn}B\]
question_answer56) Toluene is nitrated and the resulting product is reduced with tin and hydrochloric acid. The product so obtained is diazotised and then heated with cuprous bromide. The reaction mixture so formed contains
question_answer61) The conductivity of \[0.20M\text{ }KCl\]solution at \[298\text{ }K\]is \[0.0248S\text{ }c{{m}^{-1}}\]. What will be its molar conductivity?
question_answer67) Nitrogen has the electronic configuration \[1{{s}^{2}},2{{s}^{2}},2p_{x}^{1}2p_{y}^{1}2p_{z}^{1}\] and not \[1{{s}^{2}},2{{s}^{2}},2p_{x}^{2}2p_{y}^{1}2p_{z}^{0}\], which is determined by
question_answer69) The number of antibonding electron pair in \[O_{2}^{2-}\] molecular ion on the basis of molecular orbital theory is (atomic no. of \[O=8\])
question_answer70) What will be the enthalpy of combustion of ethylene (gas) to form \[C{{O}_{2}}\] (gas) and water at \[298\text{ }K\]and 1 atm pressure? The enthalpies of formation of \[C{{O}_{2}}\], \[{{H}_{2}}O\] and \[{{C}_{2}}{{H}_{4}}\] are \[-393.5,\] \[-241.8,\] \[+52.3\text{ }kJ/mol\] respectively.
question_answer85) In Carius method of estimation of halogens, \[0.099g\]organic compound gave \[0.287g\] \[AgCl\]. The percentage of chlorine in the compound will be
question_answer94) A research scholar once collected certain alga and found that its cells contained chlorophyll-a, chlorophyll-d and phycoerythrin. The alga must belong to
question_answer98) During replication of DNA, its two strands separate. Each of these serves as a template for the formation of new strands. Such type of replication is called
question_answer99) During cell division, the spindle fibres get attached to the condensing chromosome at a highly differentiated region. This region is called
question_answer100) Darwins finches provide an excellent evidence in favour of organic evolution. These are related to which of the following evidences?
question_answer122) In a given plant, red colour (R) of fruits is dominant over white fruit (r); and tallness (T) is dominant over dwarfness (t). If a plant with genotype RRTt is crossed with a plant of genotype rrtt, what will be the percentage of tall plants with red fruits in the next generation?
question_answer127) An institution where valuable plant material likely to become irretrievably lost in the wild or in cultivation is preserved in a viable condition is known as
question_answer136) A young infant may be feeding entirely on mothers milk, which is white in colour but the tools, which the infant passes out is quite yellowish. This yellow colour is due to
question_answer157) In a standard ECG, which one of the following alphabets is the correct representation of the respective activity of the human heart?
question_answer176) During organ differentiation in Drosophila, an organ is modified to another organ (such as wings may be replaced by legs). Genes responsible for such metamorphosis are called