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KVPY 2010 SB/SX

Browse the complete Chemistry, Mathematics, and Physics question set from the KVPY 2010 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. 1Diborane is formed the elements as shown in equation (1) ..(1) Given that2010 (SB/SX)
  2. 2For the reaction and . The value of and the temperature at which the reaction reaches equilibrium are, respectively,2010 (SB/SX)
  3. 3A ution containing of nicotine in of water freezes degrees below the normal freezing point of water. If the molal freezing point depression 2010 (SB/SX)
  4. 4Identify the cyclic silicate ion given in the figure below2010 (SB/SX)
  5. 5The Crystal Field Stabilization Energy (CPSE) and the spin-only magnetic moment in Bohr Magneton (BM) for the complex are, respectively-2010 (SB/SX)
  6. 6Friedel-Crafts acylation is-2010 (SB/SX)
  7. 7The number of isomers of (diethy lene triamine) is-2010 (SB/SX)
  8. 8The most stable conformation for -butane is-2010 (SB/SX)
  9. 9The energy of a photon of wavelength meter is (Planck's constant , speed of light =2010 (SB/SX)
  10. 10In the nuclear reaction is-2010 (SB/SX)
  11. 11The concentration of a substance undergoing a chemical reaction becomes one-half of its original value after time t regardless of the initia2010 (SB/SX)
  12. 12From equations 1 and 2 , the equilibrium constant for the reaction at the same temperature, is-2010 (SB/SX)
  13. 13The shape of the molecule is-2010 (SB/SX)
  14. 14In metallicids, the number of atoms for the face-centered and the body-centered cubic unit cells, are, respectively-2010 (SB/SX)
  15. 15Increasing the temperature increases the rate of reaction but does not increase the-2010 (SB/SX)
  16. 16The enontiomeric pair among the following four structures-2010 (SB/SX)
  17. 17Consider the reaction: . In the figure below, identify the curves and associated with the three species in the reaction-2010 (SB/SX)
  18. 18The correct structure of is-2010 (SB/SX)
  19. 19A concentrated ution of copper sulphate, which is dark blue in colour, a mixed at room temperature with a dilute ution of copper sulphate, w2010 (SB/SX)
  20. 20The order of acidity of compounds I-IV, is-2010 (SB/SX)
  21. 21Among the following, the -acid ligand is-2010 (SB/SX)
  22. 22For a first order reaction , the rate constant is . If the initial concentration of is , the concentration of at any time ' ' is given by th2010 (SB/SX)
  23. 23The aromatic carbocation among the following is-2010 (SB/SX)
  24. 24A metal with an atomic radius of crystallizes in the face centred cubic structure. The volume of the unit cell in pm is-2010 (SB/SX)
  25. 25The ubility product of is . Concentrated aqueous ution is added to a aqueous ution of . The at which precipitation occur is-2010 (SB/SX)
  26. 26of oxalic acid dehydrate was disved in of water, of this ution was diluted to 500 The normality of the final ution and the amount of oxalic 2010 (SB/SX)
  27. 27The bond order in is-2010 (SB/SX)
  28. 28The number of possible enatiomeric pair(s) produced from the bromination of I and II, respectively, are2010 (SB/SX)
  29. 29Cyclohexene is reacted with bromine in in the dark. The product of the reaction is-2010 (SB/SX)
  30. 30Two isomeric compounds I and II are heated with The products obtained are-2010 (SB/SX)

Mathematics

  1. 1Let be an equilateral triangle, let KLMN be a rectangle with on on and on . Suppose AN and the area of triangle BKN is The area of the trian2010 (SB/SX)
  2. 2The figure shown below is the graph of the derivative of some function . Then-2010 (SB/SX)
  3. 3Let be a differentiable function such that and a) for some . Then the minimum number of roots of in the interval is-2010 (SB/SX)
  4. 4The value of is-2010 (SB/SX)
  5. 5Consider the regions and in the plane. Then the area of the region is-2010 (SB/SX)
  6. 6The following figure shows the graph of a continuous function on the interval . The points , have coordinates respectively, and the lines an2010 (SB/SX)
  7. 7Arrange the expion of in decreasing powers of . Suppose the coefficient of the first three terms form an arithmetic progression. Then the nu2010 (SB/SX)
  8. 8Let be a continuous function satisfying , for all . Then the number of elements in the set is-2010 (SB/SX)
  9. 9Let be the volume of a given right circular cone with as the centre of the base and as its apex. Let be the maximum volume of the right circ2010 (SB/SX)
  10. 10Let be vectors in and be a unit vector in the -plane. Then the maximum possible value of is-2010 (SB/SX)
  11. 11The number of natural numbers in the interval for which the polynomial divides the polynomial is-2010 (SB/SX)
  12. 12Let and for . Then the remainder obtained dividing aco ob by 11 is-2010 (SB/SX)
  13. 13Let A denote the matrix , where , and let I denote the identity matrix . Then2010 (SB/SX)
  14. 14Let , where is a non-negative integer. Then is equal to-2010 (SB/SX)
  15. 15Suppose the sides of a triangle form a geometric progression with common ratio r. Then lies in the interval-2010 (SB/SX)
  16. 16Among all cyclic quadrilaterals inscribed in a circle of radius with one of its angles equal to . Consider the one with maximum possible are2010 (SB/SX)
  17. 17Suppose are real numbers such that Which of the following four figures represents the curve2010 (SB/SX)
  18. 18The product equals-2010 (SB/SX)
  19. 19A circle touches the parabola at and also touches its directrix. The -coordinates of the point of contact of the circle and the directrix is2010 (SB/SX)
  20. 20Let and be the cube roots of unity. The least possible degree of a polynomial, with real coefficients, having and as roots is-2010 (SB/SX)
  21. 21The roots of are -2010 (SB/SX)
  22. 22Let be an arbitrary point on the ellipse Suppose and are the foci of the ellipse. The locus of the centroid of the triangle as moves on the 2010 (SB/SX)
  23. 23The number of roots of the equation that lie in the interval is-2010 (SB/SX)
  24. 24The following figure shows the graph of a differentiable function on the interval (not containing 0 ). Let which of the following is a possi2010 (SB/SX)
  25. 25Let be a real number and be such that the polynomial divides the polynomial . Then can be-2010 (SB/SX)
  26. 26Let be a triangle and be a point inside such that . The ratio of the area of triangle to that of is-2010 (SB/SX)
  27. 27How many six-digit numbers are there in which no digit is repeated, even digits appear at even places, odd digits appear at odd places and t2010 (SB/SX)
  28. 28Suppose are positive integers such that The value of the expression is-2010 (SB/SX)
  29. 29Three vertices are chosen randomly from the seven vertices of a regular 7-sided polygon. The probability that they form the vertices of an i2010 (SB/SX)
  30. 30The number of rectangles that can be obtained by joining four of the twelve vertices of a 12 -sided regular polygon is-2010 (SB/SX)

Physics

  1. 1A pen of mass ' is lying on a piece of paper of mass placed on a rough table. If the coefficient of friction between the pen and paper, and,2010 (SB/SX)
  2. 2The circuit shown consists of a switch (S), a battery (B) of emf E, a resistance , and an inductor . The current in the circuit at the insta2010 (SB/SX)
  3. 3An ideal gas with heat capacity at constant volume undergoes a quasistatic process described by in a P-V diagram, where is a constant. The h2010 (SB/SX)
  4. 4Three trparent media of refractive indices respectively, are stacked as shown. A ray of light follows the path shown. No light enters the th2010 (SB/SX)
  5. 5The following travelling electromagnetic wave is-2010 (SB/SX)
  6. 6At time , a container has radioactive atoms with a decay constant . In addition, numbers of atoms of the same type are being added to the co2010 (SB/SX)
  7. 7Consider the infinite ladder circuit shown below. For which angular frequency will the circuit behave like a pure inductance?2010 (SB/SX)
  8. 8A charge is placed somewhere inside the cavity of a thick conducting spherical shell of inner radius and outer radius . A charge is placed a2010 (SB/SX)
  9. 9An ideal gas is made to undergo a cycle depicted by the PV diagram alongside. The curved line from to is an adiabat. Then-2010 (SB/SX)
  10. 10A piece of hot copper at is plunged into a pond at . The copper cools down to , while the pond, being huge, stays at its initial temperature2010 (SB/SX)
  11. 11A point source of light is placed at the bottom of a vessel which is filled with water of refractive index to a height h. If a floating opaq2010 (SB/SX)
  12. 12A certain planet completes one rotation about its axis in time . The weight of an object placed at the equator on the planet's surface is a 2010 (SB/SX)
  13. 13In Young's double slit experiment, the distance between the two slits is , the distance between the slits and the screen is and the waveleng2010 (SB/SX)
  14. 14A ball is dropped vertically from a height of onto a hard surface. If the ball rebounds from the surface with a fraction of the speed with w2010 (SB/SX)
  15. 15A bead of mass is attached to the mid-point of a taut, weightless string of length and placed on a frictionless horizontal table. Under a sm2010 (SB/SX)
  16. 16Two masses and are connected by a massless spring of spring constant and unstreched length . The masses are placed on a frictionless straigh2010 (SB/SX)
  17. 17A narrow parallel beam of light falls on a glass sphere of radius and refractive index at normal incidence. The distance of the image from t2010 (SB/SX)
  18. 18A book is resting on shelf that is undergoing vertical simple harmonic oscillations with an amplitude of . What is the minimum frequency of 2010 (SB/SX)
  19. 19Two masses and connected by a spring of spring constant rest on a frictionless surface. If the masses are pulled apart and let go, the time 2010 (SB/SX)
  20. 20A nucleus has a half-life of 30 minutes. At its decay rate was measured as 120,000 counts/sec. What will be the decay rate at2010 (SB/SX)
  21. 21Two identical particles of mass ' ' and charge are shot at each other from a very great distance with an initial speed . The distance of clo2010 (SB/SX)
  22. 22An ideal gas with constant heat capacity is made to carry out a cycle that is depicted by a triangle in the figure given below. The followin2010 (SB/SX)
  23. 23A comet (assumed to be in an elliptical orbit around the sun) is at a distance of from the sun at the per ihelion. If the time period of the2010 (SB/SX)
  24. 24Consider a uniform spherical volume charge distribution of radius . Which of the following graphs correctly represents the magnitude of the 2010 (SB/SX)
  25. 25A bus driving along at is approaching a person who is standing at the bus stop, while honking repeatedly at an interval of 30 seconds. If th2010 (SB/SX)
  26. 26A charged particle of charge and mass , gets deflected through an angle upon passing through a square region of side 'a' which contains a un2010 (SB/SX)
  27. 27A van der Waal's gas obeys the equation of state . Its internal energy is given by The equation of a quasistatic ad iabat for this gas is gi2010 (SB/SX)
  28. 28A particle of mass under goes oscillations about in a potential given by , where , a are constants. If the amplitude of oscillation is much 2010 (SB/SX)
  29. 29Velocity of sound measured at a given temperature in oxygen and hydrogen is in the ratio-2010 (SB/SX)
  30. 30Three equal charges are placed at the three vertices of an equilateral triangle centered at the origin. They are held in equilibrium by a re2010 (SB/SX)

Frequently Asked Questions

1.How many questions are in the KVPY 2010 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.How is the KVPY 2010 SB/SX paper structured?

The KVPY 2010 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.
4.Which chapters were asked the most in the KVPY 2010 SB/SX paper?

The chapters with the most questions in each subject were:

  • Chemistry: Chemical Kinetics (4), Coordination Compounds (3), and General Organic Chemistry (3).
  • Mathematics: Application of Derivatives (4), Binomial Theorem (4), and Area Under Curves (2).
  • Physics: Electrostatics (4), Kinetic Theory of Gases (4), and Oscillations (3).
5.Where can I find the solutions for the KVPY 2010 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.

6.How should I use the KVPY 2010 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.