Solved papers for AMU Medical AMU Solved Paper-2013
done AMU Solved Paper-2013 Total Questions - 200
question_answer1) Water is moving with a speed of 5.0 m/s through a pipe with a cross area of 4.0 \[c{{m}^{2}}\]. The water gradually descends 10 m as the pipe increases to 8.0 \[c{{m}^{2}}\]. If the pressure at the upper level is \[1.5\times {{10}^{5}}\] Pa, the pressure lower level will be
question_answer2) Starting with the same initial conditions, an ideal gas expands from volume \[{{V}_{2}}\] in three different ways. The work done by the gas is \[{{W}_{1}}\]if the process purely isothermal, \[{{W}_{2}}\] if purely isobaric and \[{{W}_{3}}\] if purely adiabatic. Then
question_answer3) 1 mole of an ideal gas expands isothermally so that its pressure falls \[1.05\times {{10}^{5}}\] Pa to \[0.5\times {{10}^{5}}\] Pa. The change in entropy of the gas is equal to
question_answer4) In the given figure container A holds an ideal gas at a pressure of \[50\times {{10}^{5}}\] Pa and a temperature of 300 K. It is connected by a thin tube (and a closed) container B, with four times the volume of A. Container B holds same at a pressure of \[1.0\times {{10}^{5}}\] Pa and a temperature of 400 K. The valve is open allow the pressures to equalize, but the temperature of each container constant at its initial value. The final pressure in the two containers will be to
question_answer5) Water standing in the open at \[{{32}^{o}}C\]evaporates because of the escape of some of the surface mole cuels. The heat of vaporisation (540 cal/g) is approximately equal to \[\varepsilon \] n, where \[\varepsilon \] is the average energy of the escaping molecules and n is the number of molecules per gram. The value of \[\varepsilon \] is close to
question_answer6) A vessel contains a mixture of 1 mole of oxygen and two moles of nitrogen at 300 K. The ratio of the rotational kinetic energy per \[{{O}_{2}}\]molecule to that per \[{{N}_{2}}\] molecule is
A)
1 : 2
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B)
2 : 1
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C)
1 : 1
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D)
depends on the moment of inertia of the two molecules
question_answer7) An oscillator consists of a block attached to a spring (k = 400 N/m). At some time t, the position (measured from the systems equilibrium location), velocity and acceleration of the block are \[x=0.100\,m,\,v=-15.0\,m/s\], and\[a=-90\,m/{{s}^{2}}\]. The amplitude of the motion and the mass of the block are
question_answer8) An organ pipe A, with both ends open, has fundamental frequency 300 Hz. The third harmonic of another organ pipe B, with one end open, has the same frequency as the second harmonic of pipe A. The lengths of pipe A and B are (speed of sound in air = 343 m/s)
question_answer9) The transverse displacement of a string fixed at both ends is given by\[y=0.6\sin \left( \frac{2\pi x}{3} \right)\cos \,(120\,\pi t)\] where \[x\]and y are in metres and t is in seconds. The length of the string is 1.5 m and its mass is\[3.0\times {{10}^{-2}}kg\]. The tension in the string is equal to
question_answer10) A capacitor of capacity \[{{C}_{1}}=3.5\,\mu F\] is charged to a potential difference \[{{V}_{0}}=6.0\,V\] using a battery. The battery is then removed and the capacitor connected using a switch S, as shown in the figure, to an uncharged capacitor of capacity \[{{C}_{2}}=6.5\,\mu F\]. The total final energy of the two capacitors after they are connected together then the charges \[\left| {{q}_{1}} \right|\] and \[\left| {{q}_{2}} \right|\] on the capacitors shall be
A)
\[63\mu j,\left| {{q}_{1}} \right|=7.35\mu C\] and \[\left| {{q}_{2}} \right|=13.65\mu C\]
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B)
\[22\mu j,\left| {{q}_{1}} \right|=10.5\mu C\] and \[\left| {{q}_{2}} \right|=10.5\mu C\]
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C)
\[22\mu j,\left| {{q}_{1}} \right|=13.65\mu C\] and \[\left| {{q}_{2}} \right|=13.65\mu C\]
doneclear
D)
\[22\mu j,\left| {{q}_{1}} \right|=13.65\mu C\] and \[\left| {{q}_{2}} \right|=7.35\mu C\]
question_answer11) Two identical conducting spheres, fixed in place, attract each other with an electrostatic force of 0.108 N when separated by 50.0 cm, center to center. The spheres are then connected by a thin conducting wire. When the wire is removed the spheres repel each other with an electrostatic force of 0.0360 N. The initial charges on the spheres were
question_answer12) A non-conducting sphere of radius a has a net charge + q uniformly distributed throughout its volume. A spherical conducting shell having inner and outer, radii b and c and a net charge -q is concentric with the sphere (see the figure). | Read the following statements
(i) The electric field at a distance r from the center of the sphere for \[r<a=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{qr}{{{a}^{3}}}\]
(ii) The electric field at distance r for \[a<r<b=0\]
(iii) The electric field at distane r for \[b<r<c=0\] (iv) The charge on the inner surface of the spherical shell \[=-q\] (v) The charge on the outer surface of the spherical shell \[=+q\] Which of the above statements are true?
question_answer13) A thin glass rod is bent into a semi circle of radius r. A charge + q is uniformly distributed along the upper half and a charge - q is uniformly distributed along the lower half, as shown in the figure. The magnitude and direction of the electric field E produced at P, the centre of the circle, will be
A)
0
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B)
\[\frac{q}{{{\varepsilon }_{0}}{{\pi }^{2}}{{r}^{2}}}\] perpendicular to the line OP and directed downward
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C)
\[\frac{q}{{{\varepsilon }_{0}}\pi {{r}^{2}}}\] perpendicular to the line OP and directed downward
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D)
\[\frac{q}{{{\varepsilon }_{0}}\pi {{r}^{2}}}\] along the axis OP
question_answer14) A particle of positive charge Q is fixed at point P. A second particle of mass m and negative charge - q moves at constant speed in a circle of radius \[{{r}_{1}}\], centered at P. The work W that must be done by an external agent on the second particle to increase the radius of the motion to \[{{r}_{2}}\], is given by
question_answer15) When 115 V is applied across a wire that is 10 m long and has a 0.30 mm radius, the current density is \[1.4\times {{10}^{4}}\,A/{{m}^{2}}\]. The resistivity of the wire is
question_answer16) In the potentiometer circuit shown in the figure, the balance length AJ = 58 when switch S is open. When switch S is closed and the value of \[R=5\,\Omega \], balance length AJ = 50 cm. The internal resistance of the cell C is
question_answer17) Figure shows a circuit with three ideal batteries in it. The circuit elements have the following values \[\Delta {{V}_{{{B}_{1}}}}=3.0\,V\], \[\Delta {{V}_{{{B}_{2}}}}=6.0\,V\] \[{{R}_{1}}=2.0\,\,\Omega ,\,\,{{R}_{2}}=4.0\,\,\Omega \] The currents \[{{i}_{1}},{{i}_{2}}\] and \[{{i}_{3}}\] as shown in the circuit have the values
question_answer18) The wire in the figure carries a current i and consists of a circular arc of radius R and central angle \[\frac{\pi }{2}\] rad, and two straight sections whose extensions intersect the center C of the arc. The magnetic field B that the current produces at C is
A)
\[\left| B \right|=\frac{{{\mu }_{0}}i}{8R}\] into the plane of the figure
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B)
\[\left| B \right|=\frac{{{\mu }_{0}}i}{8R}\] out of the plane of the figure
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C)
\[\left| B \right|=\frac{{{\mu }_{0}}i}{8\pi R}\] in to the plane of the figure
doneclear
D)
\[\left| B \right|=\frac{{{\mu }_{0}}i}{8\pi R}\] out of the plane of the figure
question_answer19) Figure shows a conducting loop consisting of a half-circle of radius r= 0.20m and three straight sections. The half-circle lies in a uniform magnetic field B that is directed out of the page, the field magnitude is given by \[B=(4.0\,T/{{s}^{2}}){{t}^{2}}+(2.0\,T/s)t+3.0\,T\] An ideal battery with \[{{\varepsilon }_{0}}=2.0\,V\] is connected to the loop. The resistance of the loop is \[2.0\,\Omega \]. The current in the loop at \[t=10\,s\] will be close to
question_answer21) Two particles each of mass m and charge g are attached to the two ends of a light rigid rod of length \[2l\]. The rod is rotated at constant angualr speed about a perpendicular axis passing through its centre. The ratio of the magnitudes of the magnetic moment of the system and its angular momentum about the centre of the rod is
question_answer22) A \[1.5\,\mu F\] capacitor is charged to 60 V. The charging battery is then disconnected and a 15 mH coil is connected in series with the capacitor so that LC oscillations occur. Assuming that the circuit contains no resistance, the maximum current in the coil shall be close to
question_answer23) Figure shows a seris L-C-R circuit with\[R=200\,\,\Omega ,\,C=15.0\,\,\mu F\] and L = 230 mH. If\[\varepsilon =36.0\sin 120\,\pi t\], the amplitude \[{{I}_{0}}\] of the current i in the circuit is close to
question_answer24) The magnetic component of a polarised wave of light is \[{{B}_{x}}=(4.0\times {{10}^{-4}}T)\sin [1.57\times {{10}^{7}}{{m}^{-1}})y+\omega t)\] The intensity of light is
question_answer25) An object and its real image are located at distances 25 cm and 40 cm respectively from the two principal foci of a convex lens. The linear magnification of the image is near to
question_answer26) A glass plate of refractive index 1.5 is coated with a thin layer of thickness t and refractive index 1.8. Light of wavelength 648 nm travelling in air is incident normally on the layer. It is partly reflected at upper and lower surfaces of the layer and the two reflected rays interfere. The least value of t for which the rays interfere constructively is
question_answer27) Energy of a photon whose de-Broglie wavelength is equal to the wavelength of an electron accelerated through a potential difference of 125 V is near to
question_answer28) Two radioactive materials \[{{X}_{1}}\] and \[{{X}_{2}}\] have decay constant \[6\lambda \] and \[3\lambda \] respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of \[{{X}_{1}}\] to that of \[{{X}_{2}}\] will be \[\frac{1}{e}\] after a time
question_answer30) A 24 V, 600 mW zener diode is used to provide a 24 V stabilized supply to a variable load \[{{R}_{L}}\], as shown in the figure. The value of the resistance R is
question_answer34) Particle A moves along the line \[y=4\sqrt{3}\,m\] with constant velocity v of magnitude 2.0 m/s and directed parallel to the positive re-axis (see figure). Particle B starts at the origin with zero speed and constant accelerationa (of magnitude \[4.0\,m/{{s}^{2}}\]) at the same instant that the particle A passes the y axis. The angle \[\theta \] between a and the positive y axis that would result in a collision between these two particles should have a value equal to
question_answer35) In 1.0 s, a particle goes from point A to B, moving in a semi-circle of radius 1.0 m (as shown in the figure). The magnitude of the average velocity of the particle is
question_answer36) A ball of mass 100 g is projected vertically upwards from the ground with a velocity of 49 m/s. At the same time another identical ball is dropped from a height of 98 m to fall freely along the same path as followed by the first ball. After sometime the two balls collide and stick together. The velocity of the combined mass just after the collision is
question_answer37) Two blocks of masses 2.9 kg and 1.9 kg are suspended from a rigid support S by two inextensible wires each of length 1 m (figure). The upper wire has negligible mass and the lower wire has a uniform mass of 0.2 kg/m. The whole system of blocks, wires and support have an upward accelration of \[0.2\,m/{{s}^{2}}\]. The tension at the mid-point of the upper wire is
question_answer38) A 40 kg slab rests on a frictionless floor. A 10 kg block rests on top of the slab (as shown in the figure). The coefficient of static friction \[{{\mu }_{s}}\]between the block and the slab is 0.60, whereas their kinetic friction coefficient \[{{\mu }_{k}}\] is 0.40. The 10 kg block is pulled by a horizontal force (100.0 N) i. The resulting accelerations of the block and slab will be
question_answer39) A 140 g ball, in horizontal flight with a speed \[{{\upsilon }_{1}}\]of 39.0 m/s, is struck by a bat. After leaving the bat, the ball travels in the opposite direction with speed \[{{\upsilon }_{2}}=39.0\,m/s\]. If the impact time \[\Delta t\] for the ball-bat collision is 1.20 ms, what average net force acts on the ball?
question_answer40) A horizontal cable accelerates a package across a frictionless horizontal floor. The amount of work that has been done by the cables force on the package is given by \[W(t)=(0.20\,J/{{s}^{2}})\,{{t}^{2}}\]. The average power < P > due to cables force in the time interval \[t=5\,s\] to \[{{t}_{2}}=10\,s\] and the instantaneous power at t = 3 s are
question_answer41) A body of mass 2.0 kg makes an elastic collision with another body at rest and continues to move in the original direction but with one-fourth of its original speed\[\upsilon \]. What is the mass of the other body and the speed of the two body center of mass?
question_answer42) Figure gives the acceleration of a 2.0 kg body as it moves from rest along x axis while a variable force acts on it from \[x=0\,m\] to\[x=9\,m\]. The work done by the force on the body when it reaches (i) \[x=4\,m\] and (ii) \[x=7\,m\] shall be as given below
question_answer43) The U shaped object shown in the figure has outside dimensions of 100 mm each side and each of its three sides is 20 mm wide. The respective values of the X, Y and Z coordinates of the center of mass of the object will be close to
question_answer44) Two particles each of mass m and velocity v are travelling in the same direction along two parallel lines, in the plane of the paper, separated by a distance d. A and B are two points on their lines of motion and C is a point midway between the two lines (as shown in the figure). Read the following statements The magnitude of the total angular momentum of the two-particle system around the point A will be mvd The magnitude of the total angular momentum of the system around the point B will be mvd The magnitude of the vector sum of angular momenta of the system around points A and B shal be zero The magnitude of the angular momentum of the system around C will be zero Which of the above statements is/are correct?
question_answer45) Three thin metal rods, each of mass M and length L, are welded to form an equilateral triangle. The moment of inertia of the composite structure about an axis passing through the centre of mass of the structure and perpendicular to its plane is
question_answer46) Three uniform spheres, with masses \[{{m}_{A}}=350\,kg,\] \[{{m}_{B}}=2000\,kg,\] and \[{{m}_{C}}=500\,kg\]have the (x, y) coordinates (0, 0) cm, (- 80, 0) cm and (40, 0) cm respectively. The gravitational potential energy, U, of the system and change in its value in terms of increase or decrease, if the sphere of mass is removed, may be given as
A)
\[U=-1.92\times {{10}^{-4}}J\] and its value shall decrease if the sphere B is removed
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B)
\[U=-1.92\times {{10}^{-4}}J\] and its value shall increase if the sphere B is removed
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C)
\[U=-1.43\times {{10}^{-4}}J\] and its value shall decrease if mg is removed
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D)
\[U=-1.43\times {{10}^{-4}}J\] and its value shall increase if \[{{m}_{B}}\] is removed
question_answer47) The figure shows a spherical hollow inside a lead sphere of radius J ?; the surface of the hollow passes through the center of the sphere and touches the right side of the sphere. The mass of the sphere before hollowing was M. With what gravitatioinal force does the hollowed-out lead sphere attract a small sphere of mass m that lies at a distance d from the center of the lead sphere, on the straight line connecting the centers of the spheres and of the hollow?
question_answer48) A uniform wire of cross-sectional area A and Youngs modulus Y is stretched within the elastic limit. If S is the stress in the wire, the elastic energy density stored in the wire in terms of the given parameters is
question_answer49) A U-tube contains two liquids in static equilibrium: Water of density \[{{\rho }_{w}}(=1000\,kg/{{m}^{3}})\] is in the right arm and oil of unknown density \[\rho \] is in the left arm as shown in the figure. Measurement gives \[l=135\,mm\] and \[d=12.5\,mm\]. The density of oil is
question_answer50) Two spheres A and B having radii of 3 cm and 5 cm respectively are coated with carbon black on their outer surfaces. The wavelengths of radiations corresponding to maximum intensity of emission are 300 nm and 500 nm respectivley. The respective powers radiated by them are in the ratio of
question_answer63) The correct order of electron gain enthalpy with negative sign of F, Cl, Br, and I, having atomic number 9,17,35 and 53 respectively, is
question_answer69) The degree of ionisation of HF in 0.100 M aqueous solution is (freezing point of the solution \[=-{{0.197}^{o}}C\] and \[{{K}_{f}}\] for water \[={{186}^{o}}C)\]
question_answer72) Equivocal aqueous solutions of \[NaCl\] and \[BaC{{l}_{2}}\] are prepared. If the freezing point of\[NaCl\] is \[-{{2}^{o}}C\], the freezing point of \[BaC{{l}_{2}}\]solution is expected to be
question_answer73) An ion with mass number 37 possesses one unit of negative charge. If ion contains 11.1% more neutrons than electrons, the symbol of the ion, X, is
question_answer74) The pH of a 0.05 M ammonia solution is 10.97. Find the ionisation constant the conjugate acid of ammonia, \[NH_{4}^{+}\]. Given, \[p{{K}_{w}}=14.0\,{{K}_{b}}\] for ammonia,\[=1.77\times {{10}^{-5}}\]
question_answer75) Consider two standard half cells based on the reaction \[A{{g}^{+}}(aq)+{{e}^{-}}\xrightarrow{{}}Ag(s)\] The left half cell contains \[AgN{{O}_{3}}\] at 1M, and the right half cell initially had the same cone. of \[AgN{{O}_{3}}\], but just enough \[NaCl(aq)\] has been added to complete precipitate the \[A{{g}^{+}}(aq)\] as \[AgCl(s)\]. If cell emf is 0.295 V, the \[{{K}_{sp}}\] of \[AgCl\] approximately
question_answer78) The rate of the reaction is given by rate,\[r=k\,{{[{{H}^{+}}]}^{n}}\] If the rate becomes 100 times when the pH changes from 2 to 1 the order of the reaction is
question_answer90) The product obtained in the following reaction is\[C{{H}_{3}}C{{H}_{2}}C{{H}_{2}}-\overset{\begin{smallmatrix} O \\ || \end{smallmatrix}}{\mathop{C}}\,-N{{H}_{2}}\xrightarrow[\Delta ]{{{P}_{2}}{{O}_{5}}}?\]
question_answer113) The electron from photosystem-II goes to photosystem-I and finally taken up by NADP leaving an electron hole in photosystem-II. This electron hole in photosystem-II is filled by the electron released form
question_answer121) Charles Darwin returned to England in 1936 from his five year expedition but published his observation and conclusion in the form of a book in November.
question_answer131) When the margin of the thalamus grows upward enclosing ovary completely and getting fused with it while the other parts of flower arise above the ovary the ovary is said to be
question_answer149) The double helix of DNA is made of polynucleotide chains where in backbone constituted by sugar phosphate and the bases are projected
question_answer194) Originating in bone marrow, circulating in blood for 1-2 days, migrating to connective tissue and forming macrophage is a characteristic of