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KVPY 2016 SB/SX

Browse the complete Chemistry, Mathematics, and Physics question set from the KVPY 2016 SB/SX paper, question by question. Each question shows a quick preview so you can jump straight to the topic or subject you want to revise. Click through to attempt the full question in practice mode, or head back to the paper-wise list to download the entire paper as a PDF.

Chemistry

  1. 1Among the following atomic orhital overlap, the non-honding overlap is2016 (SB/SX)
  2. 2The shape of is best described as a2016 (SB/SX)
  3. 3The major product obtained in the reaction of toluene with 1-bromo-2-methyl propane in the presence of anhydrous is2016 (SB/SX)
  4. 4For electroplating, amp current is passed for 250 s through . of solution of . Only of the current was utilized for electrolysis. The molari2016 (SB/SX)
  5. 5Among the following complexes, the one that can exhibit optical activity is2016 (SB/SX)
  6. 6The number of stereoisomer possible for the following compound is2016 (SB/SX)
  7. 7In the following compressibility factor vs pressure graph at , the compressibility of at pressure $2016 (SB/SX)
  8. 8The reaction of D-glucose with ammoniacal produces2016 (SB/SX)
  9. 9The hybridization of the central atom and the shape of ion respectively, are -2016 (SB/SX)
  10. 10and in the following reaction sequence are2016 (SB/SX)
  11. 11In the following reactions and , respectively, are2016 (SB/SX)
  12. 12The most stable Lewis acid-base adduct among the following is2016 (SB/SX)
  13. 13of compound (empirical formula upon treatment with excess solution produces of a white precipitate. The primary and secondary valences of co2016 (SB/SX)
  14. 14The reagent (s) used for the conversion of benzene diazonium hydrogensulfate to benzene is are -2016 (SB/SX)
  15. 15The molecule with the highest dipole moment among the following is2016 (SB/SX)
  16. 16Upon heating with acidic an organic compound produces hexan-1,6-dioic acid as the major product the starting compound is2016 (SB/SX)
  17. 17Copper (atomic mass ) crystallizers in a FCC lattice and has density The radius of copper atom is closest to2016 (SB/SX)
  18. 18The compounds contaning sp hybridized carbon atom are (i) (ii) (iii) (iv)2016 (SB/SX)
  19. 19The major product in the following reaction is2016 (SB/SX)
  20. 20In the radioactive disintegration series , involving and decay, the total number of and particles emitted are2016 (SB/SX)
  21. 21The equilibrium constant of a 2 electron redox reaction at is . The cell potential (in and the free energy change (in ) for this equilibrium2016 (SB/SX)
  22. 22A unit cell of calcium fluoride has four calcium ions. The number of fluoride ions in the unit cell is2016 (SB/SX)
  23. 23In the reaction sequence The major product and , respectively, are2016 (SB/SX)
  24. 24The specific conductance ( ) of aqueous acetic acid solution at is . The degree of dissociation of acetic acid is [Given : equivalent conduc2016 (SB/SX)
  25. 25The of oxoacids of chlorine in water follows the order2016 (SB/SX)
  26. 26The reagent required for the following two step transformation are2016 (SB/SX)
  27. 27The ratio of root mean square velocity of hydrogen at to that of nitrogen at is closest to2016 (SB/SX)
  28. 28The packing efficiency of the face centered cubic (fcc), body centered cubic (bcc) and simple / primitive cubic (pc) lattices follows the or2016 (SB/SX)
  29. 29It takes for a first order reaction to go to completion. The total time required for the same reaction to reach completion will be2016 (SB/SX)
  30. 30Given the standard potentials and as and respectively, the value of is2016 (SB/SX)

Mathematics

  1. 1The polynomial equation has -2016 (SB/SX)
  2. 2Limit dt equals2016 (SB/SX)
  3. 3The graph of the function is shown below. Define , for Which of the following statements are true? I. There are infinitely many for which II2016 (SB/SX)
  4. 4The number of triples of real numbers satisfying the equation is2016 (SB/SX)
  5. 5If be a polynomial with real coefficients such that , for all . Consider the following statements : I. is an even function. II. can be expre2016 (SB/SX)
  6. 6A box contains b blue balls and red balls. A ball is drawn randomly from the box and is returned to the box with another ball of the same co2016 (SB/SX)
  7. 7. The number of elements in is -2016 (SB/SX)
  8. 8Number of integers for which the equation has at least two distinct integer roots is -2016 (SB/SX)
  9. 9A sphere with centre sits atop a pole as shown in the figure. An observer on the ground is at a distance from the foot of the pole. She note2016 (SB/SX)
  10. 10Ten ants are on the real line. At time , the -th ant starts at the point and travelling at uniform speed, reaches the point at time . The nu2016 (SB/SX)
  11. 11The area of the region bounded by the curve and the -axis, , is2016 (SB/SX)
  12. 12The number of noncongruent integer-sided triangles whose sides belong to the set is-2016 (SB/SX)
  13. 13Suppose the parabola , with vertex , passes through and . Let be an end point of the latus rectum. Let the y-axis intersect the axis of the 2016 (SB/SX)
  14. 14Let a be a fixed non-zero complex number with and . Where is a complex number. Then2016 (SB/SX)
  15. 15The remainder when the polynomial is divided by is -2016 (SB/SX)
  16. 16Suppose we have to cover the xy-plane with identical tiles such that no two tiles overlap and no gap is left between the tiles. Suppose that2016 (SB/SX)
  17. 17Three schools send 2,4 and 6 students, respectively, to a summer camp. The 12 students must be accommodated in 6 rooms numbered in such a wa2016 (SB/SX)
  18. 18For any real number , let is a natural number be a set of complex numbers. Then -2016 (SB/SX)
  19. 19The number of continuous function such that for all and is :2016 (SB/SX)
  20. 20Let be a vector in the plane such that Then lies in the interval -2016 (SB/SX)
  21. 21For each positive real number , let be the set of all natural numbers such that Let be the complement of in the set of all natural numbers. 2016 (SB/SX)
  22. 22In a circle with centre , suppose A, P, B are three points on its circumference such that is the mid-point of minor arc . Suppose when , If 2016 (SB/SX)
  23. 23On the real line , we define two functions and as follows: Where denotes the largest integer not exceeding The positive integer for which is2016 (SB/SX)
  24. 24Let be a non-negative differentiable function on such that and for all . Then, on2016 (SB/SX)
  25. 25Let be a sector of a circle with centre and radius d, , and be a point on such that is perpendicular . Let be the midpoint of and be a point2016 (SB/SX)
  26. 26The range of the polynomial as varies over the interval is2016 (SB/SX)
  27. 27Let let and be points respectively on -axis and -axis such that . Let be a point in the first quadrant such that is an equilateral triangle.2016 (SB/SX)
  28. 28Let be a continuous function defined on such that . Then the range of2016 (SB/SX)
  29. 29A wall is inclined to the floor at an angle of . A ladder of length is resting on the wall. As the ladder slides down, its mid-point traces 2016 (SB/SX)
  30. 30Suppose the tangent to the parabola at has slope Then equals2016 (SB/SX)

Physics

  1. 1If one takes into account finite mass of the proton, the correction to the binding energy of the hydrogen atom is approximately (mass of pro2016 (SB/SX)
  2. 2Electrons accelerated from rest by an electrostatic potential are collimated and sent through a Young's double slit setup. The fringe width 2016 (SB/SX)
  3. 3A monochromatic light source of wavelength is placed slightly above a plane mirror as shown. Image of in can be used as a virtual source to 2016 (SB/SX)
  4. 4Thermal expansion of a solid is due to the2016 (SB/SX)
  5. 5Uniform ring of radius is moving on a horizontal surface with speed and then climbs up a ramp of inclination to a hcight . Thcre is no slipp2016 (SB/SX)
  6. 6A metallic sphere is kept in between two oppositely charged plates. The most appropriate representation of the field lines is -2016 (SB/SX)
  7. 7A glass prism has a right-triangular cross section , with . A ray of light parallel to the hypotenuse BC and incident on the side AB emerges2016 (SB/SX)
  8. 8The heat capacity of one mole an ideal is found to be where a is a constant. The equation obeyed by this gas during a reversible adiabatic e2016 (SB/SX)
  9. 9An electron with kinetic energy collides with a hydrogen atom in the ground state. The collision will be elastic2016 (SB/SX)
  10. 10Two infinitely long wires each carrying current I along the same direction are made into the geometry as shown in the figure. The magnetic f2016 (SB/SX)
  11. 11A hearing test is conducted on an aged person. It is found that her threshold of hearing is 20 decibels at and it rises linearly with freque2016 (SB/SX)
  12. 12A nurse measures the blood pressure of a seated patient to be of -2016 (SB/SX)
  13. 13A particle at a distance of from the origin starts moving such that , where are polar coordinates. Then the angle between resultant velocity2016 (SB/SX)
  14. 14An electron and a photon have same wavelength of . If is the energy of the photon and is the momentum of the electron, the magnitude of in S2016 (SB/SX)
  15. 15A container is divided into two equal part I and II by a partition with a small hole of diameter d. The two partitions are filled with same 2016 (SB/SX)
  16. 16Photons of wavelength are incident on a metal. The most energetic electrons ejected from the metal are bent into a circular arc of radius by2016 (SB/SX)
  17. 17An ideal gas is taken reversibly around the cycle a-b-c-d-a as shown on the (temperature) - S (entrophy) diagram The most appropriate repres2016 (SB/SX)
  18. 18A conducting bar of mass and length moves on two frictionless parallel rails in the presence of a constant uniform magnetic field of magnitu2016 (SB/SX)
  19. 19A photon of wavelength is absorbed by an electron confined to a box of length . As a result, the electron makes a transition from state to t2016 (SB/SX)
  20. 20A smaller cube with side b (depicted by dashed lines) is excised from a bigger uniform cube with side a as shown below such that both cubes 2016 (SB/SX)
  21. 21Two infinitely long parallel wires carry currents of magnitude and and are at a distance apart. The magnitude of the net magnetic field is f2016 (SB/SX)
  22. 22Consider two masses with connected by a light inextensible string that passes over a pulley of radius and moment of inertia I about its axis2016 (SB/SX)
  23. 23If the input voltage to the circuit below is given by , the output voltage is given by Which one of the following four graphs best depict th2016 (SB/SX)
  24. 24Consider a cube of uniform charge density . The ratio of electrostatic potential at the centre of the cube to that at one of the corners of 2016 (SB/SX)
  25. 25The continuous part of -ray spectrum is a result of the2016 (SB/SX)
  26. 26A light balloon filled with helium of density is tied to a long light string of length and the string is attached to the ground. If the ball2016 (SB/SX)
  27. 27A particle with total mechanical energy, which is small and negative, is under the influence of a one dimensional potential Where is in mete2016 (SB/SX)
  28. 28Physical processes are sometimes described visually by lines. Only the following can cross -2016 (SB/SX)
  29. 29A nuclear fuel rod generates energy at a rate of . It is in the shape of a cylinder of radius and length . A coolant of specific heat flows 2016 (SB/SX)
  30. 30A gas at initial temperature T undergoes sudden expansion from volume to . Then -2016 (SB/SX)

Frequently Asked Questions

1.How many questions are in the KVPY 2016 SB/SX paper?

This paper has 90 questions in total - 30 each from Chemistry, Mathematics, and Physics.

2.Can I practise questions from just one subject?

Yes. Use the Chemistry, Mathematics, and Physics tabs at the top of the page to jump directly to that subject's question set within this paper.

3.Where can I find the SA paper for the same year?

The KVPY 2016 SA paper is listed separately - you can switch to it from the "KVPY Paper Wise PYQs" panel, under KVPY 2016.

4.How is the KVPY 2016 SB/SX paper structured?

The KVPY 2016 SB/SX paper on MARKS has 90 questions, organised by subject:

  • Chemistry: 30 questions - 30 single-correct.
  • Mathematics: 30 questions - 30 single-correct.
  • Physics: 30 questions - 30 single-correct.
5.Which chapters were asked the most in the KVPY 2016 SB/SX paper?

The chapters with the most questions in each subject were:

  • Chemistry: Chemical Bonding and Molecular Structure (4), Electrochemistry (4), and Hydrocarbons (4).
  • Mathematics: Application of Derivatives (4), Functions (3), and Quadratic Equation (3).
  • Physics: Dual Nature of Matter (5), Electrostatics (3), and Thermodynamics (3).
6.Where can I find the solutions for the KVPY 2016 SB/SX paper?

Open any question on this page. Its page shows the correct answer and, where one is available, the worked solution. A downloadable PDF of the whole paper is coming soon.

7.How should I use the KVPY 2016 SB/SX paper to check my preparation?

Set a timer, attempt the 90 questions as you would in the exam, and only then open the answers. Note which subjects and chapters cost you the most marks, and revise those first using the chapter-wise practice for KVPY. Repeating this with other papers shows whether the same weak spots keep coming back.