AIPMT / NEET - 2016 (Physics, Chemistry and Biology) Code A/P/W Time: 3 hrs Total Marks: 720 General Instructions: 1. 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-1 and side-2 carefully with blue/black ball point pen only. 2. The test is of 3 hours duration and consists of 180 questions. Each question carries 3 marks. For each correct response the candidate will get 4 marks. For each incorrect response, one mark will be deducted. The maximum marks are 3. Use Blue/Black ball point pen only for writing particulars on this page/marking responses. 4. Rough work is to be done on the space provided for this purpose in the text booklet only. 5. On completion of the test, the candidate must handover the answer sheet to the invigilator in the room/Hall. The candidates are allowed to take away this text booklet with them. 6. Make sure that the CODE printed on side-2 of the answer sheet is the same as that on this booklet, In case of discrepancy, the candidate should immediately report the matter to the invigilator for the replacement of both the test Booklet and the Answer Sheet. 7. The candidates should ensure that the Answer sheet is not folded. Do not make any stray marks 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 permissible on the Answer Sheet. 8080656522 | www.testkhazana.com | Physics 1. From a disc of radius R and mass M. a circular hole diameter R whose rim passes through the centre is cut. What the moment of inertia of the remaining part of the disc about perpendicular axis & passing through the centre? 2 a. 15 MR /32 b. 13 MR2/32 c. II MR2/32 d. 0 MR7/32 2. 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: a. 2𝜇0𝑙𝑖 3𝜋 b. 𝜇0𝑙𝑖 2𝜋 c. 2𝜇0𝑙𝑖𝐿 3𝜋 d. 𝜇0𝑙𝑖𝐿 2𝜋 3. The magnetic suscepetibility is negative for a. diamagnetic material only b. paramagnetic material only c. ferromagnetic material only d. Paramagnetic and ferromagnetic materials 8080656522 | www.testkhazana.com | 4. A siren emitting a sound of frequency 800 Hz moves away from an observer towards a cliff at a a speed of 15 ms-1. Then , the frequency of sound that the observer hears in the echo reflected from the cliff is : (Take velocity of sound in air = 330 ms-1) a. 765 Hz b. 800 Hz c. 838 Hz d. 885 Hz 5. A capacitor of 2𝜇F is charged as shown in the diagram. When the switch S is turn to position 2, the percentage of its stored energy dissipated is: a. 0% b. 20% c. 75% d. 80% 6. In a diffraction pattern due to a single slit of width ‘a’, the first minimum is observed at an angle 30° when light of wavelength 5000 Å is incident on the slit. The first secondary maximum is observed at an angle of: a. 𝑠𝑖𝑛−1(1) 4 b. 𝑠𝑖𝑛−1(2) 3 c. 𝑠𝑖𝑛−1(1) 2 d. 𝑠𝑖𝑛−1(3) 4 7. At what height from the surface of earth the gravitation potential and the value of g are -5.4 x 107 J kg-2 and 6.0 ms-2 respectively? Take the radius of earth as 6400 km: 8080656522 | www.testkhazana.com | a. 2600 km b. 1600 km c. 1400 km d. 2000 km 8. Out of the following options which one can be used to produce a propagating electromagnetic wave? a. A charge moving at constant velocity b. A stationary charge c. A chargeless particle d. An accelerating charge 9. Two identical charged spheres suspended from a common point by two massless strings of lengths l, are initially at a distance d (d << l) apart because of their mutual repulsion. The charges begin to leak from the both the sphere at a constant rate. As a result, the sphere approach each other with a velocity 𝜐. Then 𝜐 varies as a function of the distance x between the spheres as : 1 a. 𝜐 ∝ 𝑥2 b. 𝜐 ∝ 𝑥 1 c. 𝜐 ∝ 𝑥−2 d. 𝜐 ∝ 𝑥−1 10. A uniform rope of length L and mass m hangs vertically from a rigid support. A block 1 of mass m is attached to the free end of the rope. A transverse pulse of wavelength 𝜆 2 1 is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is 𝜆 . The ratio 𝜆 / 𝜆 is: 2 2 1 a. √𝑚1 𝑚2 b. √𝑚1+ 𝑚2 𝑚2 c. √𝑚2 𝑚1 d. √𝑚1+𝑚2 𝑚1 8080656522 | www.testkhazana.com | 11. A refrigerator works between 4 °C and 30 °C. It is required to remove 600 calories of heat every second in order to keep the temperature of the refrigerated space constant. The power required is: (Take 1 cal = 4.2 joules) a. 2.365 W b. 23.65 W c. 236.5 W d. 2365 W 12. An air column, closed at one end and open at the other, resonates with a turning fork when the smallest length of the column is 50 cm. The next larger length of the column resonating with the same turning fork is: a. 66.7 cm b. 100 cm c. 150 cm d. 200 cm 13. Consider the junction diode as ideal. The value of current flowing through AB is: a. 0 A b. 10-2 A c. 10-1 A d. 10-3 A 14. The charge flowing through a resistance R varies with time t as Q = at - bt2, where a and b are positive constants. The total heat produced in R is: 𝑎3𝑅 a. 6𝑏 𝑎3𝑅 b. 3𝑏 𝑎3𝑅 c. 2𝑏 𝑎3𝑅 d. 𝑏 8080656522 | www.testkhazana.com | 15. A black body is at a temperature of 5760 K. The energy of radiation emitted by the body at wavelength 250 nm is U . At wavelength 500 nm is U and that at 1000 nm is 1 2 U . Wien’s constant, b = 2.88 x 106 nmK. Which of the following is correct? 3 a. U = 0 1 b. U = 0 3 c. U > U 1 2 d. U > U 2 1 16. Coefficient of linear expansion of brass and steel rods are 𝛼 and 𝛼 . Lengths of brass 1 2 and steel rods are l and l respectively. If (l – l ) is maintained same at all 1 2 2 1 temperatures, which one of the following relationsholds good? a. 𝛼 l = 𝛼 l 12 2l1 2 2 b. 𝛼 l = 𝛼 l 1 2 2 1 2 2 c. 𝛼 l = 𝛼 l 2 1 1 2 d. 𝛼 l = 𝛼 l 11 22 17. A npn transistor is connected in common emitter configuration in a given amplifier. A load resistance of 800 Ω is connected in the collector circuit and the voltage drop across it is 0.8 V. Of the current amplification factor is 0.96 and the input resistance of the circuit is 192 Ω , the voltage gain and the power gain of the amplifier will respectively be: a. 4, 3.84 b. 3.69, 3.84 c. 4, 4 d. 4, 3.69 18. The intensity of the maximum in a Young’s double slit experiment is I . Distance 0 between two slits of d = 5𝜆, where 𝜆 is the wavelength of light used in the experiment. What will be the intensity in front of one of the slits on the screen placed at a distance D = 10d? a. I 0 b. 𝐼0 4 3 c. I 0 4 8080656522 | www.testkhazana.com | d. 𝐼0 2 19. A uniform c. ircular disc of radius 50 cm 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 2.0 rad s-2 Its net acceleration in ms- 2 at the end of 2.0 s is approximately. a. 8.0 b. 7.0 c. 6.0 d. 3.0 20. An electron of mass m and a photon have same energy E. The ratio of de-Broglie wavelengths associated with them is : 1 a. 1 ( 𝐸 )2 𝑐 2𝑚 1 b. ( 𝐸 )2 2𝑚 1 c. 𝑐(2𝑚𝐸)2 1 d. 1 (2𝑚)2 𝑐 𝐸 21. A disk and a sphere o same radius but different masses roll off on two inclined planes of the same altitude and lengths. Which one of the two objects gets to the bottom of the plane first? a. Disk b. Sphere c. Both reach at the same time d. Depends on their masses 22. The angle of incidence for a ray light at a refracting surface of a prism is 45 °. The angle of prism is 60 °. If the ray suffers minimum deviation through the prism, the angle of minimum deviation and refractive index of the material of the prism respectively, are: 1 a. 45 °; √2 b. 30 °;√2 c. 45 °;√2 1 d. 30 °; √2 8080656522 | www.testkhazana.com | 23. When an 𝛼 - particle of mass ‘m’ moving with velocity ‘𝜐’ bombards on a heavy nucleus of charge ‘Ze’, its distance of closet approach from the nucleus depends on m as: 1 a. 𝑚 1 b. √𝑚 1 c. 𝑚2 d. m 24. A particle of mass 10 g moves along a circle of radius 6.4 c with a constant tangential acceleration. What is the magnitude of this acceleration if the kinetic energy of the particle becomes equal to 8 x 10-4 J by the end of the second revolution after the beginning of the motion? a. 0.1 m/s2 b. 0.15 m/s2 c. 0.18 m/s2 d. 0.2 m/s2 25. The molecules of a given mass of a gas have r.m.s. velocity of 200 ms-1 at 27°C and 1.0 x105 Nm-2 pressure. When the temperature and pressure of the gas respectively, 127 °C and 0.05 x 105 Nm-2, the r.m.s. velocity of its molecules in ms-1 is: a. 100√2 400 b. √3 100√2 c. 3 100 d. 3 26. A long straight wire of radius a carries a steady current I. The current is uniformly distributed over its cross–section. The ratio of the magnetic fields B and B’, at radial 𝑎 distances and 2a respectively, from the axis of the wire is: 2 1 a. 4 1 b. 2 c. 1 d. 4 8080656522 | www.testkhazana.com | 27. A particle moves so that its position vector is given by ⃗⃗𝑟⃗ = 𝑐𝑜𝑠 𝜔𝑡 𝑥̂+𝑠𝑖𝑛 𝜔𝑡 𝑦̂ Where 𝜔 is a constant. Which of the following is true? a. Velocity and acceleration both are perpendicular to ⃗⃗𝑟⃗ b. Velocity and acceleration both are parallel to ⃗⃗𝑟⃗ c. Velocity is perpendicular to ⃗⃗𝑟⃗ and acceleration is directed towards the origin. d. Velocity is perpendicular to ⃗⃗𝑟⃗ and acceleration is directed away from the origin. 28. What is the minimum velocity with which a body of mass m must enter a vertical loop of radius R so that it can complete the loop? a. √𝑔𝑅 b. √2𝑔𝑅 c. √3𝑔𝑅 d. √5𝑔𝑅 29. When a metallic surface is illuminated with radiation of wavelength 𝜆, the stopping potential is V. If the same surface is illuminated with radiation of wavelength 2 𝜆 , the 𝑉 stopping potential is The threshold wavelength for the metallic surface is: 4 a. 4 𝜆 b. 5 𝜆 5 c. 𝜆 2 d. 3 𝜆 30. A gas is compressed is isothermally to half its initial volume. The same gas is compressed separately through and adiabatic process until its volume is again reduced to half. Then: a. Compressing the gas isothermally will require more work to be done. b. Compressing the gas through adiabatic process will require more work to be done c. Compressing the gas isothermally of adiabatically will require the same amount or work d. Which of the case (whether compression through isothermal or through adiabatic process) requires more work will depend upon the atomicty of the gas. 31. A potentiometer wire is 100 cm long and a constant potential difference is maintained across it. Two cells are connected in series first to support one another and 8080656522 | www.testkhazana.com | then in opposite direction. The balance points are obtained at 50 cm and 10 cm from the positive end of the wire in the two cases. The ratio of emf’s is a. 5:1 b. 5:4 c. 3:4 d. 3:2 32. A astronomical telescope has objective and eyepiece of focal lengths 40 cm and 4 cm respectively. To view an object 200 cm away from the objective, the lenses must be separated by a distance a. 37.3 cm b. 46.0 cm c. 50.0 cm d. 54.0 cm 33. Two non-mixing liquids of densities 𝜌 and n𝜌 (n > 1) 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 < 1) in the denser liquids. The density d is equal to a. {1+(n+1)p}p b. {2+(n+1)p}p c. {2+{n-1}p}p d. {1+(n-1)p}p 34. To get output 1 for the following circuit, the correct choice for the input is: a. A = 0, B = 1, C = 0 b. A = 1, B = 0, C = 0 c. A = 1, B = 1, C = 0 d. A = 1, B = 0, C = 1 8080656522 | www.testkhazana.com |