Solved papers for BHU PMT BHU PMT (Mains) Solved Paper-2007
done BHU PMT (Mains) Solved Paper-2007 Total Questions - 200
question_answer1) Two organ pipes both closed at one end, have lengths\[l\]and\[l+\Delta l\]. If the velocity of sound in air is v, then the number of beats per second is
question_answer3) Four optical media have indices of refraction of 1.40, 1.50, 1.60 and 1.70 respectively. The medium that has the largest critical angle is the one whose index of refraction is
question_answer5) An ideal gas has molar specific heat 5R/2 at constant pressure. If 300 J of heat is given to two moles of gas at constant pressure, the change in temperature is
question_answer6) A body of mass m falls from a height h and collides with another body of same mass. After collision the two bodies combine and move through distance till they come to rest. Find the work done against the resistive force.
question_answer7) Light of wavelength \[\lambda =4000\overset{\text{o}}{\mathop{\text{A}}}\,\] and intensity \[100\text{ }W/{{m}^{2}}\]is incident on a plate of threshold frequency\[5.5\times {{10}^{14}}Hz\]. Find the number of photons incident per\[{{m}^{2}}\]per sec.
question_answer9) Inductive resistance\[25\,\Omega \], and capacitive resistance\[75\,\Omega \]. are connected across 250 V mains in series. Find the rms potential difference across inductor and capacitor.
question_answer11) When a force\[{{F}_{1}}\]acts on a particle, frequency is 6 Hz and when a force\[{{F}_{2}}\]acts, frequency is 8 Hz. What is the frequency when both the forces act simultaneously in same direction?
question_answer12) A hypothetical experiment conducted to determine Young s formula\[Y=\frac{\cos \,\theta \,{{T}^{x}}.\tau }{{{l}^{3}}}\]. If Y = Young's modulus, T = time period, \[\tau =\]torque and\[l=\]length, then find the value of\[x\].
question_answer13) A particle of mass m, strikes on ground with angle of incidence\[45{}^\circ \]. If coefficient of restitution\[e=1/\sqrt{2},\]the velocity of reflection is
question_answer14) Two blocks, one of mass A = 1 kg and another B = 2 kg are shown in figure. A force of 5 N is applied on A. Coefficient of friction between A and B is 0.2 and that between B and horizontal surface is zero. Find the time taken for the front face of A to coincide with that of B.
question_answer15) Separation between two parallel plates facing each other is 2 cm and surface area\[{{l}^{2}}=100\] \[c{{m}^{2}}\]. If\[{{10}^{6}}\]electrons of velocity\[10{{\,}^{8}}m/s\]projected into the gap between plates of potential difference 400 V, the deflection of an electron is
question_answer16) If the radius of a coil is changing at the rate\[{{10}^{-2}}\] units in a normal magnetic field\[{{10}^{-3}}\] units, the induced emf is\[1\mu V\]. What is the final radius of the coil?
question_answer17) For a radioactive material half-life period is 600 s. If initially there are 600 number of molecules find the time taken for disintegration of 450 molecules and the rate of disintegration.
question_answer18) A body is dropped from height 8 m. After striking the surface it rises to 6 m, what is fractional loss in kinetic energy during impact? Assuming air resistance to be negligible.
question_answer19) Assuming Newton's law of cooling to be valid, the temperature of body changes from\[60{}^\circ C\] to\[40{}^\circ C\]in 7 min. Temperature of surrounding being\[10{}^\circ C\]. Find its temperature after next 7 min.
question_answer20) A ring of mass 0.8 kg and radius 0.1 m makes \[\frac{5}{\pi }\]rotations per second about axis perpendicular to its plane through centre. Calculate angular momentum and kinetic energy of ring.
question_answer21) There is magnetic material of coercivity\[2\times {{10}^{3}}A/m\]. What current should flow through solenoid of length 15 cm having 150 turns 150 to demagnetize the substance completely?
question_answer22) Electric field at\[x=10\]cm is 100 V/m and at \[x=-10\]cm is\[-100\text{ }V/m\]. The magnitude of charge enclosed by the cube of side 20 m is
question_answer23) A particle is rotating with constant angular acceleration on a circular track. If its angular velocity changes from 20 k rad/s to 40 n rad/s in 10 s, what are the number of revolutions that the particle has completed during this time?
question_answer24) Two tuning forks when sounded together give 8 beat/s. When A is sounded with air column of length 37.5 cm closed at one end resonance occurs in its fundamental mode. B gives resonance with air column of length 38.5 cm and closed at one end in its fundamental mode. The frequencies of tuning forks are
question_answer26) A book with many printing errors contains four different expressions for the displacement y of a particle executing simple harmonic motion which of the following options are correct? (1) \[Y=A\sin \left( \frac{2\pi t}{T} \right)\] (2) \[Y=A\sin vt\] (3) \[Y=\frac{A}{\sqrt{2}}(\sin \omega t+\cos \omega t)\] (4) \[Y=\frac{A}{T}\sin \left( \frac{t}{A} \right)\]
question_answer27) Which of the following are not correct about centre of mass? (1) It depends on frame of reference (2) Internal forces may affect the motion of centre of mass (3) Centre of mass and centre of gravity are synonymous (4) In centre of mass frame momentum of a system is always zero
question_answer28) If a particle travels a linear distance at speed\[{{v}_{1}}\]and comes back along the same track at speed\[{{v}_{2}}.\] (1) Its average speed is arithmetic mean\[({{v}_{1}}+{{v}_{2}})/2\] (2) Its average speed is harmonic mean\[2{{v}_{1}}{{v}_{2}}/({{v}_{1}}+{{v}_{2}})\] (3) Its average speed is geometric mean\[\sqrt{{{v}_{1}}{{v}_{2}}}\] (4) Its velocity is zero
question_answer29) Apparent weight of a body in an elevator is more than rest weight. If elevator is (1) going up and slowing down (2) going up and speeding up (3) going down and speeding up (4) going down and slowing down
question_answer30) Let V and E denote the gravitational potential and gravitational field at a point. It is possible to have (1)\[V=0\]and\[E=0\] (2)\[V\ne 0\]and\[E=0\] (3)\[V\ne 0\]and\[E\ne 0\] (4)\[V=0\]and\[E\ne 0\]
question_answer31) For an isolated system in the absence of any dissipative effect (1) KE is conserved (2) total energy is conserved (3) PE is conserved (4) mechanical energy is conserved
question_answer32) Which of the following statements are correct? (1) Young's modulus, bulk modulus and shear modulus have the units of pressure (2) Young's modulus describes the length elasticity of a material (3) The value of Young's modulus depends on the dimensions of the body (4) Modulus of elasticity is the smallest value of stress required to produce a permanent distortion in a body
question_answer33) A steel cube weighs 1 kg in air and 0.88 kg in water. The density of the steel is\[7.71\times {{10}^{3}}\] \[kg/{{m}^{3}}\]and of water is\[{{10}^{3}}kg/{{m}^{3}}\]. The cube (1) must be solid (2) consists of impure steel (3) must be hollow (4) consists of pure steel
question_answer34) A cyclic process is completed by processes 1 and 2.\[\Delta Q\]and\[\Delta W\]represent heat supplied and the work done.\[\Delta {{U}_{1}}\]and\[\Delta {{U}_{2}}\]are changes in internal energies in the two processes respectively. Then (1) \[\Delta {{U}_{1}}=-\Delta {{U}_{2}}\] (2)\[\Delta {{U}_{1}}=\Delta {{U}_{2}}\] (3) \[\Delta Q=\Delta W\] (4)\[\Delta Q=-\Delta W\]
question_answer35) A heated body emits radiation which has maximum intensity at frequency\[{{v}_{m}}\]. If the temperature of the body is doubled (1) the maximum intensity radiation will be at frequency\[2{{v}_{m}}\] (2) the maximum intensity radiation will be at frequency\[(1/2){{v}_{m}}\] (3) the total emitted energy will increase by a factor of 2 (4) the total emitted energy will increase by a factor of 16
question_answer36) Which one of the following represents a travelling wave? (1) \[y=A\sqrt{(x-vt)}\] (2) \[y=A\cos (ax+bt)\] (3) \[y=A\log (x-vt)\] (4) \[y=f({{x}^{2}}-v{{t}^{2}})\]
question_answer37) A particle is performing a linear simple harmonic motion. If the acceleration and the corresponding velocity of the particle are a and v respectively, which of the following graphs is/are correct? (1) (2) (3) (4)
question_answer38) In a Young's double-slit experiment, let A and B be the two slits. A thin film of thickness t and refractive index u is placed in front of A. Let\[\beta =\]fringe width. Then the central maximum will shift (1) towards A (2) towards B (3) by \[t(\mu -1)\frac{\beta }{\lambda }\] (4) by \[\mu t\frac{\beta }{\lambda }\]
question_answer39) A charged particle moves with a speed v in a circular path of radius r around a long uniformly charged conductor. If the conductor has a charge per unit length\[\lambda ,\]the particle has mass m and charge q; then (1) \[v\propto \sqrt{q}\] (2) \[v\propto \sqrt{\lambda }\] (3) \[v\propto \sqrt{m}\] (4) \[v\propto \frac{1}{m}\]
question_answer40) A parallel plate capacitor is first connected to DC source. It is then disconnected and then immersed in a liquid dielectric. Then (1) the capacity increases (2) the liquid level between the plates increases (3) the potential on the plates will decrease (4) the liquid level will remain the same as that outside the plates
question_answer41) In the circuit shown below, the cell is ideal, with emf = 2V. The resistance of the coil of the galvanometer G is\[1\,\Omega \]. Then (1) 0.2 A current flows in G (2) potential difference across\[{{C}_{1}}\]is 1 V (3) potential difference across\[{{C}_{2}}\]is 1.2 V (4) no current flows in G
question_answer42) A uniform wire of resistance R is shaped into a regular n-side of a polygon (n is even). The equivalent resistance between any two comers can have (1) the maximum value\[(R/4)\] (2) the maximum value\[(R/n)\] (3) the minimum value\[R\left( \frac{n-1}{{{n}^{2}}} \right)\] (4) the minimum value\[(R/n)\]
question_answer43) Two identical charged particles enter a uniform magnetic field with same speed but at angles\[30{}^\circ \]and\[60{}^\circ \]with field. Let a, b and c be the ratio of their time periods, radii and pitches of the helical paths then (1) \[abc>1\] (2) \[abc=1\] (3) \[abc<1\] (4) \[a=bc\]
question_answer44) In pure rolling fraction of its total energy associated with rotation is\[\alpha \]for a ring and P for a solid sphere. Then (1) \[\alpha =1/2\] (2) \[\beta =2/7\] (3) \[\beta =2/5\] (4)\[\alpha =1/4\]
question_answer45) A curved road is banked for speed\[{{v}_{0}}\]. When a car moves along the road with a constant speed v, the force of friction between the road and the tyres is F. Which of the following statements(s) is (are) correct? (1) lf \[v={{v}_{0}},F=0\] (2) If \[v<{{v}_{0}},F\]acts outwards (3) If\[v>{{v}_{0}},F\]F acts inwards (4) If\[v=0,F=0\]
question_answer46) An electron in hydrogen atom first jumps from second excited state to first excited state and then from first excited state to ground state. Let the ratio of wavelength, momentum and energy of photons emitted in these two cases be a, b and c respectively. Then (1) \[c=\frac{9}{4}\] (2) \[c=\frac{5}{27}\] (3) \[a=\frac{9}{4}\] (4) \[b=\frac{5}{27}\]
question_answer47) Which of the following transitions in\[H{{e}^{+}}\]ion will give rise to a spectral line which has the same wavelength as some spectral line in the hydrogen atom? (1) n = 4 to n = 2 (2) n = 8 to n = 4 (3) n = 6 to n = 3 (4) n = 6 to n = 2
question_answer48) A solid transparent sphere has a small, opaque dot at its centre. When observed from outside, the apparent position of the dot will be (1) the same as its actual position (2) independent of the refractive index of the sphere (3) farther away from the eye than its actual position (4) closer to the eye than its actual position
question_answer49) The displacement of a string carrying a travelling sinusoidal wave is given by \[y=A\sin (kx-\omega t-\phi )\] At\[t=0,\]the particle at\[x=0\]is having half of the maximum amplitude and is moving in upward direction. The value of \[\phi \]may be (1) \[60{}^\circ \] (2) \[30{}^\circ \] (3) \[300{}^\circ \] (4) \[330{}^\circ \]
question_answer50) A real object is moving towards a fixed spherical mirror. The image (1) may move away from the mirror (2) may move towards the mirror if mirror is concave (3) must move away from the mirror (4) may move towards the mirror if mirror is convex
question_answer59) The amount of heat released when 20 mL of \[0.5\text{ }M\text{ }NaOH\]is mixed with 100 mL of 0.1 M \[HCl\]is\[x\text{ }kJ\]. The heat of neutralisation (in kJ \[mo{{l}^{-1}}\]) is
question_answer70) In order to distinguish between\[{{C}_{2}}{{H}_{5}}N{{H}_{2}}\]and \[{{C}_{6}}{{H}_{5}}N{{H}_{2}}\]which of the following reagents is useful?
question_answer71) Which reducing agents of the following can be used for the following transformation? \[C{{H}_{3}}CH=CHCOOH\xrightarrow{{}}\] \[C{{H}_{3}}CH=CHC{{H}_{2}}OH\]
question_answer76) If equal volumes of\[0.1\text{ }M\text{ }HBr\]and\[0.1\text{ }M\text{ }KOH\]are mixed, then which of the following is/are correct about the resulting solution? (1)\[[{{H}_{3}}{{O}^{+}}]=1.0\times {{10}^{-7}}mol\text{ }{{L}^{-1}}\] (2)\[[O{{H}^{-}}]=1.0\times {{10}^{-7}}mol\text{ }{{L}^{-1}}\] (3)\[[{{K}^{+}}]=0.05\text{ }mol\text{ }{{L}^{-1}}\] (4)\[[B{{r}^{-}}]\text{ }=0.10\text{ }mol\text{ }{{\text{L}}^{-1}}\]
question_answer77) For a reaction to be spontaneous in neither direction which of the following is/are correct regarding the closed system? (1) \[{{(\Delta G)}_{T,P}}=0\] (2) \[{{(\Delta G)}_{T,P}}<0\] (3) \[{{(\Delta S)}_{U,V}}=0\] (4) \[{{(\Delta S)}_{V,V}}>0\]
question_answer79) Which of the solution will be acidic? (1)\[0.1\,M\,FeS{{O}_{4}}\] (2)\[0.1M{{(N{{H}_{4}})}_{2}}S{{O}_{4}}\] (3) \[0.1\text{ }M\,C{{H}_{3}}COONa\] (4)\[0.1\text{ }M\,N{{H}_{4}}OH\]
question_answer81) What happens when detergent is added to water? (1) The surface tension increase (2) Surface tension decrease (3) Viscosity decrease (4) Viscosity increase
question_answer83) Diethyl ether can be distinguished from n-butanol by (1) aqueous\[FeC{{l}_{3}}\] (2) reaction with Na metal (3) Tollens' reagent (4) reaction with chromic anhydride\[(Cr{{O}_{3}})\]in dil.\[{{H}_{2}}S{{O}_{4}}\]
question_answer87) \[{{K}_{4}}[Fe{{(CN)}_{6}}]\] is used for the detection of (1)\[Z{{n}^{2+}}\]ions (2)\[C{{u}^{2+}}\]ions (3) \[F{{e}^{3+}}\]ions (4)\[F{{e}^{2+}}\]ions
question_answer88) Hydrogen can be obtained from water, by the action of water on (1) calcium carbide (2) calcium hydride (3) calcium oxide (4) calcium
question_answer90) Which of the following have asymmetric carbon atom? (1)\[C{{H}_{2}}ClC{{H}_{2}}Br\] (2)\[C{{H}_{3}}CHDCl\] (3)\[C{{H}_{3}}CHC{{l}_{2}}\] (4)\[C{{H}_{2}}BrCHOHC{{H}_{3}}\]
question_answer91) Which of the following carbide can be used to prepare methane by its action with water? (1) Aluminium carbide (2) Beryllium carbide (3) Calcium carbide (4) Silicon carbide
question_answer93) The products of reaction of alcoholic silver nitrite with ethyl bromide are (1) ethanol (2) nitroethane (3) ethene (4) ethyl nitrite
question_answer96) The positive carbyl amine test is giver (1) N,N-dimethyl aniline (2) 2,4-dimethyl aniline (3) N-methyl-o-methyl aniline (4) p-methyl benzylamine
question_answer126) On the basis of nature of maternal and foetal tissue, types of placenata are (1) haemochorial placenta (2) haemoendothelial placenta (3) cotyledonary placenta (4) deciduate placenta
question_answer127) Antigenic determinant sites bind to which portions of an antibody molecule ? (1) light chain (2) heavy chain (3) intermediate chains (4) plasma cells
question_answer129) Which of the following factors raise the \[{{\text{P}}_{\text{50}}}\] value and shifts the \[Hb{{O}_{2}}\]dissociation curve to right and vice versa ? (1) Rise in \[PC{{O}_{2}}\] (2) Rise in H+ ions (= fall in pH) (3) Fall in temperature (4) Fall in diphosphoglyceric acid
question_answer134) The valve situated between the left atrium and left ventricle is called (1) bicuspid valve (2) tricuspid valve (3) mitral valve (4) eustachian valve
question_answer138) Which of the following is true about preen gland? (1) Occur in birds (2) Also known as uropygial gland (3) Occur in bats (4) Help in digestion
question_answer141) Structures present in a mature proglottid are (1) a pair of longitudinal nerve cord (lateral nerve cord) (2) Mehli's gland (3) cirrus sac (4) one ovary and two oviducts
question_answer143) RBC and adipose tissue cells respire anaerobically because they (1) possess very few mitochondria (2) require much less energy (3) possess very few mitochondria and a large amount of energy (4) possess carbonic anhydrase
question_answer146) P-wave of ECG indicates (1) depolarization of atrial muscles (2) activation of SA-node (3) spread of excitation from SA node to AV node (4) repolarization of atria and depolarization of ventricles
question_answer148) Which of the following is correct grouping ? (1) Ectoderm?retina,epidermis, nervous system (2) Mesoderm?ovary, urinary bladder, Kidney (3) Mesoderm?kidney, connective tissue testis (4) Endoderm?thyroid, pineal gland, thymus
question_answer149) Heterochro matin (1) contains a highly repetitice sequence of DNA (2) is the inert segment of the chromosome adjacent to the centromere (3) is tightly coiled during the in terphase (4) lightly stained regions
question_answer150) Which of the following are haploid in nature? (1) Spermatids (2) Secondary spermatocytes (3) Spermatogonia (4) Primary spermatocytes
question_answer155) If a dwarf pea plant was created with gibberellic acid, it became as tall, as tall pea plants. If these pea plants are crossed with pure tall pea plants, what will be the phenotypic ratio in \[{{F}_{1}}\]generation?
question_answer167) A substance unrelated to substrate but capable of reversibly changing activity of enzyme by binding to a site other than active site is called
question_answer176) Pollen tube of Cycos acts (1) as an agent for carrying male gamete to the egg (2) as a haustorium (3) as endosperm (4) as female cone
question_answer177) Which of the following conditions are necessary for the growth of the moulds, Mucor or Penicillium ? (1) Warmth (2) Carbohydrate (3) Water (4) Light
question_answer179) Which of the following characteristics are associated with halophytes plants? (1) Presence of pneumatophores (2) Leaves and stem have hairy and waxy covering (3) Shows viviparous germination (4) Leaves show heterophylly
question_answer180) The characteristic feature of leghaernoglobin are (1) it is a source of energy (2) it is a pinkish colour pigment found in nodules (3) activated by the presence of Mg2+ ions (4) it protects nitrogen Fixing enzyme nitrogenase from oxygen
question_answer181) Cyathium is characterised by (1) single female flower surrounded by many male flowers (2) as involucre of bracts enclosing all the flowers (3) fleshy inflorescence axis with a pearshaped cavity inside (4) single male flower surrounded by many female flowers
question_answer182) Parietal placentation is found in the members of (1) family cucurbitaceae (2) family solanaceae (3) family brassicaceae (4)family leguminosae
question_answer183) Which of the following is true regarding guttarion? (1) Occurs through stomata (2) Occurs through hydathodes (3) Loss of pure water (4) Occurs mostly during night and early morning
question_answer184) Which of the following statements are true for complementary genes? (1) Both the genes interact to produce a complementary new trait (2) Pair of nonallelic genes (3) The F2 ratio is generally 9:7 (4) The F2 ratio is generally 9:3:4
question_answer185) Coenzymes (1) act as a donor of groups of atoms added to the substrate (2) act as an acceptor of groups of atoms removed from the substrate (3) cannot be easily separated from apoenzyme (4) do not act as prosthetic group
question_answer186) Suckers are (1) formed from the in ternode of underground stem (2) formed from the node of underground stem (3) roots which are formed from the upper portion of nodes (4) roots which are formed from the Iowa portion of nodes
question_answer189) Link between glycolysis, Krebs' cycle and \[\text{ }\!\!\beta\!\!\text{ -}\]oxidation of fatty acid or carbohydrate and fat metabolism is (1) Acetyl CoA (2) a compound formed by oxidative de-carboxylation (3) a 2-carbon compound (4) oxaloacetic acid
question_answer190) The enzymes taking part in recombinant DNA technology are (1) restriction endonuclease (2) ligase (3) reverse transcriptase (4) phosphatase
question_answer191) The mode of asexual reproduction in bacteria are (1) formation of gametes (2) endospore formation (3) conjugation (4) zoospores formation
question_answer198) Which of the following chemical reactions are associated with photorespiration? (1) \[\text{RuBP+O2}\,\xrightarrow{\text{RuBP}\,\text{oxygenase}}\underset{\text{+Phosphoglycolate}}{\mathop{\text{PGA}}}\,\] (2) \[\text{Glycolate+}{{\text{O}}_{\text{2}}}\,\xrightarrow{\text{Oxidase}}\text{Glyoxylate+}{{\text{H}}_{\text{2}}}{{\text{O}}_{\text{2}}}\] (3) \[\text{Glycolate+ATP}\,\xrightarrow[{{H}_{2}}]{Kinase}\] 3Phosphoglycerare+ADP (4) \[\text{RuBP+C}{{\text{O}}_{\text{2}}}\xrightarrow[\text{Carboxylase}]{\text{RuBP}}\text{2PGA}\]
question_answer199) Agar-agar is (1) a jelly like substance, employed in the manufacture of ice cream (2) used in culture medium for microorganisms as solidifying agent (3) obtained from Gelidium, Gracilaria (4) a product of brown algae
question_answer200) Epigeal germination occurs (1) due to the growth and elongation of hypocotyl (2) in papaya and cotton (3) in maize and rice (4) due to elongation of epicotyl -