AIPMT / NEET (Physics, Chemistry and Biology) Code A/P/W. Time: 3 hrs Total Marks: 720

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1 AIPMT / NEET - 06 (Physics, Cheistry and Biology) Code A/P/W Tie: hrs Total Marks: 70 General Instructions:. The Answer sheet is inside this Text booklet. When you are directed to open the text booklet, take out the Answer Sheet and fill in the particulars on side- and side- carefully with blue/black ball point pen only.. The test is of hours duration and consists of 80 questions. Each question carries arks. For each correct response the candidate will get 4 arks. For each incorrect response, one ark will be deducted. The axiu arks are 70.. Use Blue/Black ball point pen only for writing particulars on this page/arking responses. 4. Rough work is to be done on the space provided for this purpose in the text booklet only. 5. On copletion of the test, the candidate ust handover the answer sheet to the invigilator in the roo/hall. The candidates are allowed to take away this text booklet with the. 6. Make sure that the CODE printed on side- of the answer sheet is the sae as that on this booklet, In case of discrepancy, the candidate should iediately report the atter to the invigilator for the replaceent of both the test Booklet and the Answer Sheet. 7. The candidates should ensure that the Answer sheet is not folded. Do not ake any stray arks on the Answer sheet. Do not write your roll no. anywhere else except in the specified space in the Test booklet/answer Sheet. 8. Use of white fluid for correction is not perissible on the Answer Sheet.. Fro a disc of radius R and ass M. a circular hole diaeter R whose ri passes through the centre is cut. What the oent of inertia of the reaining part of the disc about perpendicular axis & passing through the centre? () 5 MR / () MR / () II MR/ 0 MR7/

2 Paper - 06 (Code A/P/W). A square loop ABCD carrying a current i, is placed near and coplanar with a long straight conductor XY carrying a current I. the net force on the loop will be: () () () μ0li μ0li μ0lil μ0lil. The agnetic suscepetibility is negative for () diaagnetic aterial only () paraagnetic aterial only () ferroagnetic aterial only Paraagnetic and ferroagnetic aterials 4. A siren eitting a sound of frequency 800 Hz oves away fro an observer towards a cliff at a a speed of 5 s. Then, the frequency of sound that the observer hears in the echo reflected fro the cliff is : (Take velocity of sound in air = 0 s ) () 765 Hz () 800 Hz () 88 Hz 885 Hz

3 Paper - 06 (Code A/P/W) 5. A capacitor of F is charged as shown in the diagra. When the switch S is turn to position, the percentage of its stored energy dissipated is: () 0% () 0% () 75% 80% 6. In a diffraction pattern due to a single slit of width a, the first iniu is o observed at an angle 0 when light of wavelength 5000 A is incident on the slit. The first secondary axiu is observed at an angle of: () () () sin sin sin sin At what height fro the surface of earth the gravitation potential and the value of g are J kg and 6.0 s respectively? Take the radius of earth as 6400 k: () 600 k () 600 k () 400 k 000 k 8. Out of the following options which one can be used to produce a propagating electroagnetic wave? () A charge oving at constant velocity () A stationary charge () A chargeless particle An accelerating charge

4 Paper - 06 (Code A/P/W) 9. Two identical charged spheres suspended fro a coon point by two assless strings of lengths l, are initially at a distance d (d << l) apart because of their utual repulsion. The charges begin to leak fro the both the sphere at a constant rate. As a result, the sphere approach each other with a velocity. Then varies as a function of the distance x between the spheres as : x () () x x - () x 0. A unifor rope of length L and ass hangs vertically fro a rigid support. A block of ass is attached to the free end of the rope. A transverse pulse of wavelength is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is. The ratio / is: () () () + +. A refrigerator works between 4 C and 0 C. It is required to reove 600 calories of heat every second in order to keep the teperature of the refrigerated space constant. The power required is: (Take cal = 4. joules) ().65 W ().65 W () 6.5 W 65 W 4

5 Paper - 06 (Code A/P/W). An air colun, closed at one end and open at the other, resonates with a turning fork when the sallest length of the colun is 50 c. The next larger length of the colun resonating with the sae turning fork is: () 66.7 c () 00 c () 50 c 00 c. Consider the junction diode as ideal. The value of current flowing through AB is: () 0 A () 0 - A () 0 - A 0 - A 4. The charge flowing through a resistance R varies with tie t as Q = at bt, where a and b are positive constants. The total heat produced in R is: () () () ar 6b ar b ar b ar b 5. A black body is at a teperature of 5760 K. The energy of radiation eitted by the body at wavelength 50 n is U. At wavelength 500 n is U and that at 000 n is U. Wien s constant, b = nk. Which of the following is correct? () U = 0 () U = 0 () U > U U > U 5

6 Paper - 06 (Code A/P/W) 6. Coefficient of linear expansion of brass and steel rods are and. Lengths of brass and steel rods are l and l respectively. If (l l ) is aintained sae at all teperatures, which one of the following relations holds good? () l = l () l l () l = l l = l 7. A npn transistor is connected in coon eitter configuration in a given aplifier. A load resistance of 800 is connected in the collector circuit and the voltage drop across it is 0.8 V. Of the current aplification factor is 0.96 and the input resistance of the circuit is 9, the voltage gain and the power gain of the aplifier will respectively be: () 4,.84 ().69,.84 () 4, 4 4, The intensity of the axiu in a Young s double slit experient is I 0. Distance between two slits of d = 5, where is the wavelength of light used in the experient. What will be the intensity in front of one of the slits on the screen placed at a distance D = 0d? () I 0 () () I 0 4 I0 4 I 0 9. A unifor circular disc of radius 50 c at rest is free to turn about an axis which is perpendicular to its plane and passes through its centre. It is subjected to a torque which produces a constant angular acceleration of.0 rad s. Its net acceleration in s at the end of.0 s is approxiately. () 8.0 () 7.0 () An electron of ass and a photon have sae energy E. The ratio of de- Broglie wavelengths associated with the is : 6

7 Paper - 06 (Code A/P/W) () () E c E () c(e) c E. A disk and a sphere o sae radius but different asses roll off on two inclined planes of the sae altitude and lengths. Which one of the two objects gets to the botto of the plane first? () Disk () Sphere () Both reach at the sae tie Depends on their asses. The angle of incidence for a ray light at a refracting surface of a pris is 45. The angle of pris is 60. If the ray suffers iniu deviation through the pris, the angle of iniu deviation and refractive index of the aterial of the pris respectively, are: () 45; () 0; () 45; 0;. When an - particle of ass oving with velocity bobards on a heavy nucleus of charge Ze, its distance of closet approach fro the nucleus depends on as: () () () M 7

8 Paper - 06 (Code A/P/W) 4. A particle of ass 0 g oves along a circle of radius 6.4 c with a constant tangential acceleration. What is the agnitude of this acceleration if the kinetic energy of the particle becoes equal to J by the end of the second revolution after the beginning of the otion? () 0. /s () 0.5 /s () 0.8 /s 0. /s 5. The olecules of a given ass of a gas have r..s. velocity of 00 s - at 7 C and N - pressure. When the teperature and pressure of the gas respectively, 7 C and N -, the r..s. velocity of its olecules in s - is: () () () A long straight wire of radius a carries a steady current I. The current is uniforly distributed over its cross section. The ratio of the agnetic fields B and B, at radial distances a/ and a respectively, fro the axis of the wire is: () 4 () () 4 7. A particle oves so that its position vector is given by Where is a constant. Which of the following is true? () Velocity and acceleration both are perpendicular to r () Velocity and acceleration both are parallel to r r cos t ˆx sin ty ˆ. () Velocity is perpendicular to r and acceleration is directed towards the origin. Velocity is perpendicular to r and acceleration is directed away fro the origin. 8

9 Paper - 06 (Code A/P/W) 8. What is the iniu velocity with which a body of ass ust enter a vertical loop of radius R so that it can coplete the loop? () () () gr gr gr 5gR 9. When a etallic surface is illuinated with radiation of wavelength, the stopping potential is V. If the sae surface is illuinated with radiation of V wavelength, the stopping potential is 4. The threshold wavelength for the etallic surface is: () 4 () 5 5 () 0. A gas is copressed is isotherally to half its initial volue. The sae gas is copressed separately through and adiabatic process until its volue is again reduced to half. Then: () Copressing the gas isotherally will require ore work to be done. () Copressing the gas through adiabatic process will require ore work to be done () Copressing the gas isotherally of adiabatically will require the sae aount or work Which of the case (wheather copression through isotheral or through adiabatic process) requires ore work will depend upon the atoicty of the gas.. A potentioeter wire is 00 c long and a constant potential difference is aintained across it. Two cells are connected in series first to support one another and then in opposite direction. The balance points are obtained at 50 c and 0 c fro the positive end of the wire in the two cases. The ratio of ef s is () 5: () 5:4 () :4 : 9

10 Paper - 06 (Code A/P/W). A astronoical telescope has objective and eyepiece of focal lengths 40 c and 4 c respectively. To view an object 00 c away fro the objective, the lenses ust be separated by a distance () 7. c () 46.0 c () 50.0 c 54.0 c. Two non-ixing liquids of densities and n (n > ) are put in a container. The height of each liquids is h. A solid cylinder of length L and density d is put in this container. The cylinder floats with its axis vertical and length pl (p < ) in the denser liquids. The density d is equal to () {+(n+)p}p () {+(n+)p}p () {+{n-}p}p {+(n-)p}p 4. To get output for the following circuit, the correct choice for the input is: () A = 0, B =, C = 0 () A =, B = 0, C = 0 () A =, B =, C = 0 A =, B = 0, C = 5. A piece of ice falls fro a height h so that it elts copletely. Only one quarter of the heat produced is absorbed by the ice and all the energy of ice gets converted into heat during its fall. The value of h is: [Latent heat of ice is J/kg and g = 0 N/kg] () 4k () 544 k () 6 k 68 k 6. The ratio of escape velocity of earth ( ) to the escape velocity at a planet ( p ) whose radius and ean density are twice as that of earth is: () : () : () :4 : 0

11 Paper - 06 (Code A/P/W) 7. If the agnitude of su of two vectors is equal to the agnitude of difference of the two vectors, the angle between these vectors is: () 0 o () 90 o () 45 o 80 o 8. Given the value of Rydberg constant is 0 7, the wave nuber of the last line of the Baler series in hydrogen spectru will be: () () () A body of ass kg begins to ove under the action of a tie dependent force F=(ti+t J)N, where i and J are unit along x and y axis. What power will be developed by the force at the tie t? () (t + t ) W () (t + 4t 4 ) W () (t + t 4 ) W (t + t 5 ) W 40. An inductor 0 H, a capacitor 50 F and a resistor 40 are connected in series across a source of ef V = 0 sin 40t. The power loss in A.C circuit is: () 0.5 W () 0.67 W () 0.76 W 0.89 W 4. If the velocity of a particle is = At + Bt, where A and B are constants, then the distance travelled by it between is and s is: A+4B () () A + 7B 7 A+ B () A B +

12 Paper - 06 (Code A/P/W) 4. A long solenoid has 000 turns. When a current of 4A flows through it, the agnetic flux linked with each turn of the solenoid is Wb. The self inductance of the solenoid is: () 4H () H () H H 4. A sall signal voltage V(t) = V 0 sin t is applied across an ideal capacitor C: () Current I(t), lags voltage V(t) by 90 o. () Over a full cycle the capacitor C does not consue any energy fro the voltage source. () Current I(t) is in phase with voltage V(t) Current I(t) leads voltage V(t) by 80 o 44. Match the corresponding entries of colun with colun [where is the agnification produced by the irror] Colun Colun (A) = (a) Convex irror (B) = (b) Concave irror (C) = + (c) Real iage (D) = + (d) Virtual iage () A b and c; B b and c; C b and d; D a and d () A a and c; B a and d; C a and b; D c and d () A a and d; B b and c; C b and d; D b and c A c and d; B b and d; C b and c; D a and d 45. A car is negotiating a curved road of radius R. The road is banked at an angle. The coefficient of friction between the types of the car and the road is s. The axiu safe velocity on this road is: () () () μ +tanθ s gr -μ s tanθ μ +tanθ s gr -μ s tanθ g μ s+tanθ R -μ tanθ g R s s μ +tanθ -μ tanθ s

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