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KVPY 2013 SB/SX

Browse the complete Chemistry, Mathematics, and Physics question set from the KVPY 2013 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. 1The density of eq. wt of a metal are and 100 , respectively. The time required for a current of 3 amp to deposit a thick layer of the same m2013 (SB/SX)
  2. 2The maximum number of isomers that can result from monobromination of 2-methyl-2-pentene with bromosuccinimide in boiling is2013 (SB/SX)
  3. 3The numbers of lone pair(s) on in and are, respectively,2013 (SB/SX)
  4. 4The variation of solubility of four different gases (G1, G2, etc.) in a given solvent with pressure at a constant temperature is shown in th2013 (SB/SX)
  5. 5Hydrolysis of gives which on treatment with sodium carbonate produces and , respectively, are2013 (SB/SX)
  6. 6Aqueous solution of metallic nitrate reacts with to form which dissolves in excess . The resulting complex is reduced by acetaldehyde to dep2013 (SB/SX)
  7. 7The major product obtained in the reaction of aniline with acetic anhydride is2013 (SB/SX)
  8. 8The compound reacts with benzensulfonyl chloride to give which is insoluble in alkali. The compound is2013 (SB/SX)
  9. 9An ionic compound is formed between a metal M and a non-metal Y. If M occupies half the octahedral voids in the cubic close-packed arrangeme2013 (SB/SX)
  10. 10The compound that readily tautomerizes is2013 (SB/SX)
  11. 11For the reaction, the concentration of A decreases from to and that of rises from 0 to at equilibrium. The values of and the equilibrium con2013 (SB/SX)
  12. 12D-Glucose upon treatment with bromine-water gives2013 (SB/SX)
  13. 13The reaction of ethyl methyl ketone with excess gives the following major product2013 (SB/SX)
  14. 14The amount of required to completely reduce of iodine solution, is2013 (SB/SX)
  15. 15The order of reactivity in aqueous acetic acid solution for the compounds is2013 (SB/SX)
  16. 16The spin-only magnetic moments of and are, respectively,2013 (SB/SX)
  17. 17For a zero-order reaction with rate constant , the slope of the plot of reactant concentration against time is2013 (SB/SX)
  18. 18The standard electrode potential of is and that of is . The emf and the free energy change , respectively, for a Daniel cell will be2013 (SB/SX)
  19. 19In aqueous solution, reacts with molecular oxygen in the presence of excess liquor to give a new complex Y. The number of unpaired electrons2013 (SB/SX)
  20. 20In of water, of a non-volatile compound is dissolved. At the vapor pressure of the solution is . Assuming that the compound does not undergo2013 (SB/SX)
  21. 21Consider the equilibria (1) and (2) with equilibrium constants and , respectively and are related as2013 (SB/SX)
  22. 22The number of peptide bonds in the compound is2013 (SB/SX)
  23. 23The entropy change in the isothermal reversible expansion of 2 moles of an ideal gas from 10 to at 300 is2013 (SB/SX)
  24. 24Among the following, the set of isoelectronic ions is2013 (SB/SX)
  25. 25The number of ions produced in water by dissolution of the complex having the empirical formular, , is2013 (SB/SX)
  26. 26For the isothermal reversible expansion of an ideal gas2013 (SB/SX)
  27. 27Ethyl acetate reacts with to form2013 (SB/SX)
  28. 28In the structure of borax, the numbers of boron atoms and B-O-B units, respectively, are2013 (SB/SX)
  29. 29The compound which reacts with excess bromine to produce -tribromophenol, is2013 (SB/SX)

Mathematics

  1. 1Consider a triangle in the -plane with vertices and . If the line divides the triangle into two parts of equal area, then a equals2013 (SB/SX)
  2. 2Let be unit vectors in the -plane, one each in the interior of the four quadrants. Which of the following statements is necessarily true?2013 (SB/SX)
  3. 3For an integer let . Which of the following is true for all2013 (SB/SX)
  4. 4The area bounded by the curve , the line joining and and the line joining and is2013 (SB/SX)
  5. 5In a tournament with five teams, each team plays against every other team exctly once. Each game is won by one of the playing teams and the 2013 (SB/SX)
  6. 6Let . The number of real roots of is2013 (SB/SX)
  7. 7Let and . Which of the following statements are true? (I) Domain of Domain of (II) Domain of Domain of (III) Domain of Domain of (V) Domain 2013 (SB/SX)
  8. 8Let be real numbers such that for every natural number . Then is equal to2013 (SB/SX)
  9. 9Two line segments and are constrained to move along the and axes, respectively, in such a way that the points A, B, C, D are concyclic. If a2013 (SB/SX)
  10. 10Let be a function such that . Then which of the following is false?2013 (SB/SX)
  11. 11Let be a closed polygon with 10 sides and 10 vertices (assume that the sides do not intersect except at the vertices). Let be the number of 2013 (SB/SX)
  12. 12The sum of non-real roots of the polynomial equation .2013 (SB/SX)
  13. 13In a triangle , let denote its centroid and let be points in the interiors of the segments , respectively, such that are collinear. If denot2013 (SB/SX)
  14. 14The number of integers with and containing at most two distinct digits is2013 (SB/SX)
  15. 15Let be a non-constant polynomial with real coefficients such that and for all real . Which of the following statements is NOT necessarily tr2013 (SB/SX)
  16. 16Let . A list of numbers has mean and standard deviatiion . A new list of numbers is made as follows : . The mean and the standard deviation 2013 (SB/SX)
  17. 17Let be a positive integer. For a real number , let denote the largest integer not exceeding and Then is equal to2013 (SB/SX)
  18. 18For real with define , where for a real number we denote by the largest integer less than or equal to r. The number of points of discontinut2013 (SB/SX)
  19. 19The vertices of the base of an isosceles triangle lie on a parabola and the base is a part of the line If the third vertex of the triangle l2013 (SB/SX)
  20. 20If are positive real numbers such that the lines ax and are parallel, then the least possible value of is2013 (SB/SX)
  21. 21A box contains coupons labeled ....n. A coupon is picked at random and the number is noted. The coupon is put back into the box and a new co2013 (SB/SX)
  22. 22Let be the diameter of a semicircle with centre . Let be a variable point on the semicircle and another point on the semicircle such that is2013 (SB/SX)
  23. 23The angles of a triangle satisfy the equations and . Then angle equals2013 (SB/SX)
  24. 24A box contains coupons labelled . Five coupons are picked at random one after another without replacement. Let the numbers on the coupons be2013 (SB/SX)
  25. 25Let be a cube root of unity not equal to 1 . Then the maximum possible value of where , b, is2013 (SB/SX)
  26. 26For let be a family of quadratic polynomials in with variable coefficients. Let . Which of the following statements are true? (I) for all . 2013 (SB/SX)
  27. 27Let be a positive integer such that Let be the number of digits in the binary expansion of . Then the minimum and the maximum possible value2013 (SB/SX)
  28. 28Suppose that the earth is a sphere of radius 6400 kilometers. The height from the earth's surface from where exactly a fourth of the earth's2013 (SB/SX)
  29. 29Let be an acute-angled triangle and let be the midpoint of . If , then equals2013 (SB/SX)
  30. 30For a real number let denote the largest integer less than or equal to and . The smallest possible integer value of for which exceeds 2013 i2013 (SB/SX)

Physics

  1. 1In the P-V diagram below the dashed curved line is an adiabat, For a process that is described by a straight line joining two points and on 2013 (SB/SX)
  2. 2A bullet of mass is fired horizontally into a large sphere of mass and radius resting on a smooth horizontal table. The bullet hits the sphe2013 (SB/SX)
  3. 3The three processes in a thermodynamic cycle shown in the figure are : Process is isothermal; Process is isochoric (volume remains constant)2013 (SB/SX)
  4. 4A wheel of radius with an axle of radius is shown in the figure and is free to rotate about a frictionless axis through its centre and perpe2013 (SB/SX)
  5. 5The equation of state of moles of a non-ideal gas can be approximated by the equation where a and b are constants characteristic of the gas.2013 (SB/SX)
  6. 6Two species of radioactive atoms are mixed in equal number. The disintegration of the first species is and of the second is . After a long t2013 (SB/SX)
  7. 7In a photocell circuit the stopping potential, , is a measure of the maximum kinetic energy of the photoelectrons. The following graph shows2013 (SB/SX)
  8. 8A singly ionized helium atom in an excited state emits a photon of energy . Given that the ground state energy of hydrogen atom is , the ene2013 (SB/SX)
  9. 9An engine moving away from a vertical cliff blows a born at a frequency f. Its speed is of the speed of sound in air. The frequency of the r2013 (SB/SX)
  10. 10Young-Laplace law states that the excess pressure inside a soap bubble of radius is given by where is the coefficient of surface tension of 2013 (SB/SX)
  11. 11The average distance between molecules of an ideal gas at STP is approximately of the order of2013 (SB/SX)
  12. 12Photons of energy are incident on two metals A and B with work functions and respectively. The minimum de Broglie wavelengths of the emitted2013 (SB/SX)
  13. 13A nuclear decay is possible if the mass of the parent nucleus exceeds the total mass of the decay particles. If denotes the mass of a single2013 (SB/SX)
  14. 14Consider the circuit shown in the figure below : All the resistors are identical. The charge stored in the capacitor, once it is fully charg2013 (SB/SX)
  15. 15A solid sphere rolls without slipping, first horizontal and then up to a point at height on an inclined plane before rolling down, as shown.2013 (SB/SX)
  16. 16A point particle of mass is moving along the -axis under a force described by the potential energy shown below. It is projected towards the 2013 (SB/SX)
  17. 17A small boy is throwing a ball towards a wall 6 in front of him. He releases the ball at a height of from the ground. The ball bounces from 2013 (SB/SX)
  18. 18A blackbox (BB) which may contain a combination of electrical circuit elements (resistor, capacitor or inductor) is connected with other ext2013 (SB/SX)
  19. 19An arangement with a pair of quarter circular coils of radii and with a common centre and carrying a current is shown. The permeability of f2013 (SB/SX)
  20. 20The bulk modulus of a gas is defined as . For an adiabatic process the variation of is proportional to . For an idea gas, is2013 (SB/SX)
  21. 21A plank is resting on a horizontal ground in the northern hemisphere of the Earth at a latitude. Let the angular speed of the Earth be and i2013 (SB/SX)
  22. 22An electron enters a chamber in which a uniform magnetic field is present as shown. Ignore gravity. During its motion inside the chamber2013 (SB/SX)
  23. 23A block of mass slides from rest at a height on a frictionless inclined plane as shown in the figure. It travels a distance d across a rough2013 (SB/SX)
  24. 24If the angle of incidence of -ray of wavelength which produces a second order diffracted beam from the (100) planes in a simple cubic lattic2013 (SB/SX)
  25. 25A ray of light incident on a glass sphere (refractive index ) suffers total internal reflection before emerging out exactly parallel to the 2013 (SB/SX)
  26. 26Consider an initially neutral hollow conducting spherical shell with inner radius r and outer radius . A point charge is now placed inside t2013 (SB/SX)
  27. 27The figure below shows a circuit and its input voltage as function of time . Assuming the diodes to be ideal, which of the following graphs 2013 (SB/SX)
  28. 28The figure below shows pressure variation in two different sound waves in air with time at a given position. Both the figures are drawn to t2013 (SB/SX)
  29. 29A metallic prong consists of 4 rods made of the same material, cross-section and same lengths as shown. The three forked ends are kept at an2013 (SB/SX)
  30. 30The circuit shown has been connected for a long time. The voltage across the capacitor is2013 (SB/SX)
  31. 31A ball is rolling without slipping in a spherical shallow bowl (radius ) as shown in the figure and is executing simple harmonic motion. If 2013 (SB/SX)

Frequently Asked Questions

1.How many questions are in the KVPY 2013 SB/SX paper?

This paper has 90 questions in total - 29 from Chemistry, 30 from Mathematics, and 31 from 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 2013 SA paper is listed separately - you can switch to it from the "KVPY Paper Wise PYQs" panel, under KVPY 2013.

4.What is the structure of the KVPY 2013 SB/SX paper?

The KVPY 2013 SB/SX paper on MARKS has 90 questions, organised by subject:

  • Chemistry: 29 questions - 29 single-correct.
  • Mathematics: 30 questions - 30 single-correct.
  • Physics: 31 questions - 31 single-correct.
5.Which chapters had the most questions in the KVPY 2013 SB/SX paper?

The chapters with the most questions in each subject were:

  • Chemistry: Amines (3), Coordination Compounds (3), and Aldehydes and Ketones (2).
  • Mathematics: Basic of Mathematics (3), Definite Integration (2), and Permutation Combination (2).
  • Physics: Thermodynamics (4), Rotational Motion (3), and Alternating Current (2).
6.Where can I find the solutions for the KVPY 2013 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 2013 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.