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KVPY 2012 SB/SX

Browse the complete Chemistry, Mathematics, and Physics question set from the KVPY 2012 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 oxidation state of cobalt in the following molecule is -2012 (SB/SX)
  2. 2The moecule with non-zero dipole moment is -2012 (SB/SX)
  3. 3The final major product obtained in the following sequence of reactions is -2012 (SB/SX)
  4. 4Typical electronic energy gaps in molecules are about . In terms of temperature, the gap is closed to -2012 (SB/SX)
  5. 5The major product in the following reaction is2012 (SB/SX)
  6. 6The inter-planar spacing between the ( 221 planes of a cubic lattice of length is2012 (SB/SX)
  7. 7The major product of the following reaction is -2012 (SB/SX)
  8. 8The following data are obtained for a reaction, Products. The overall order of the reaction is2012 (SB/SX)
  9. 9In the DNA of E. Coli the mole ratio of adenine to cytosine is . If the number of moles of adenine in the DNA is 350000 , the number of mole2012 (SB/SX)
  10. 10The isoelectronic pair of ions is2012 (SB/SX)
  11. 11The for vaporization of a liquid is . Assuming ideal behaviour, the change in internal energy for the vaporization of of the liquid at and 12012 (SB/SX)
  12. 12(R)-2-bromobutane upon treatment with aq. NaOH gives -2012 (SB/SX)
  13. 13Phenol on treatment with dil. gives two products and Q. P is steam volatile but is not. and are, respectively-2012 (SB/SX)
  14. 14The of a weak acid is . The concentrations of the acid and its conjugate base are equal at a of2012 (SB/SX)
  15. 15The C-O bond length in and follows the order -2012 (SB/SX)
  16. 16The most stable conformation of 2,3 -dibromobutane is2012 (SB/SX)
  17. 17The equilibrium constant for the following reactions are and , respectively. Then the equilibrium constant for the reaction is2012 (SB/SX)
  18. 18Doping silicon with boron produces a-2012 (SB/SX)
  19. 19For a one-electron atom, the set of allowed quantum numbers is -2012 (SB/SX)
  20. 20The major final product in the following reaction is -2012 (SB/SX)
  21. 21A zero-ordér reaction, Product, with an initial concentration has a half-life of . If oné starts with thee concentration , then the half=l2012 (SB/SX)
  22. 22Among the following, the species that is both tetrahedral and diamagnetic is -2012 (SB/SX)
  23. 23For a tetrahedral complex , the spin-only magnetic moment is .M. The element is2012 (SB/SX)
  24. 24In the reaction benzene with an electrophile , the structure of the intermediate - complex can be represented as2012 (SB/SX)
  25. 25Three moles of an ideal gas expands reversihly under isothermal condition form . to . at . The amount of heat-change (in ) in the process is2012 (SB/SX)
  26. 26Among the following graphs showing variation of rate with temperature (T) for a reaction, the one that exhibits arrhenius behavior over the 2012 (SB/SX)
  27. 27Among the following, the species with the highest bond order is -2012 (SB/SX)
  28. 28The major product of the following reaction is -2012 (SB/SX)
  29. 29The reaction that gives the following molecule as the major product is -2012 (SB/SX)

Mathematics

  1. 1Let be a variable point on the curve . Then is -2012 (SB/SX)
  2. 2Consider the conic . Suppose is any point on the conic and are the foci of the conic, then the maximum value of is2012 (SB/SX)
  3. 3A man tosses a coin 10 times, scoring 1 point for each head and 2 points for each tail. Let be the probability of scoring at least points. T2012 (SB/SX)
  4. 4The number of ordered pairs , where , such that is a multiple of 5 is2012 (SB/SX)
  5. 5Suppose two perpendicular tangents can be drawn from the origin to the circle , for some real . then2012 (SB/SX)
  6. 6Let be a natural number and let 'a' be a real number. The number of zeros of in the interval is2012 (SB/SX)
  7. 7The value of is2012 (SB/SX)
  8. 8A purse contains 4 copper coins and 3 silver coins. A second purse contains 6 copper coins and 4 silver coins. A purse is chosen randomly an2012 (SB/SX)
  9. 9Let and . A subset of is said to be a good subset if for every . Then the number of good subsets of is2012 (SB/SX)
  10. 10The value of is2012 (SB/SX)
  11. 11A polynomial with real coefficients has the property that for all . Suppose and . What can you say about ?2012 (SB/SX)
  12. 12Let be the function with Then if and only if -2012 (SB/SX)
  13. 13The sum of all which satisfy the equation is -2012 (SB/SX)
  14. 14Let and be the integer part and fractional part of a real number respectively. The value of the integral is2012 (SB/SX)
  15. 15Let denote the sum of the first positive integers. The numbers are written on 99 cards. The probability of drawing a card with an even numbe2012 (SB/SX)
  16. 16In the real number system, the equation has2012 (SB/SX)
  17. 17Let , then-2012 (SB/SX)
  18. 18Suppose are integers arranged on a circle. Each number is equal to the average of its two adjacent numbers. If the sum of all even indexed n2012 (SB/SX)
  19. 19Suppose are real numbers, and each of the equations and has two distinct real roots. Then the equation has-2012 (SB/SX)
  20. 20Consider and Then -2012 (SB/SX)
  21. 21Let for all . Let and generally for Let Which of the following is a multiple of P -2012 (SB/SX)
  22. 22The value of the integral , where , is -2012 (SB/SX)
  23. 23Three children, each accompanied by a guardian, seek admission in a school. The principal want to interview all the 6 persons one after the 2012 (SB/SX)
  24. 24The value2012 (SB/SX)
  25. 25Define a sequence by for . Then2012 (SB/SX)
  26. 26The coefficient of in is -2012 (SB/SX)
  27. 27The maximum value of , as varies over reals, satisfies -2012 (SB/SX)
  28. 28Let be numbers in the set such that the curves and have no point in common. The maximum possible value of is2012 (SB/SX)
  29. 29Let be the orthocenter of an acute - angled triangle and be its circumcenter. Then2012 (SB/SX)
  30. 30The mid- point of the domain of the function for real is2012 (SB/SX)

Physics

  1. 1A steady current I flows through a wire of radius , length and resistivity . The current produced heat in the wire. The rate of heat loss in2012 (SB/SX)
  2. 2In one model of the electron, the electron of mass is thought to be a uniformly charged shell of radius and total charge e, whose electrosta2012 (SB/SX)
  3. 3A cylindrical steel rod of length and thermal conductivity is welded end to end to copper rod of thermal conductivity and of the same area o2012 (SB/SX)
  4. 4The total energy of a black body radiation source is collected for five minutes and used to heat water. The temperature of the water increas2012 (SB/SX)
  5. 5A body is executing simple harmonic motion of amplitude a and period about the equilibrium position . large numbers of snapshots are taken a2012 (SB/SX)
  6. 6A small asteroid is orbiting around the sun in a circular orbit of radius with speed . A rocket is launched from the asteroid with speed , w2012 (SB/SX)
  7. 7Seven identical coins are rigidly arranged on a flat table in the pattern shown below so that each coin touches its neighbors. Each coin is 2012 (SB/SX)
  8. 8A simple pendulum is released from rest at the horizontally stretched position. When the string makes an angle with the vertical, the angle 2012 (SB/SX)
  9. 9Two blocks ( 1 and 2) of equal mass are connected by an ideal string (see figure shown) over a frictionless pulley. The blocks are attached 2012 (SB/SX)
  10. 10A standing wave in a pipe with a length is described by Based on above information, which one of the following statements is incorrect. (Spe2012 (SB/SX)
  11. 11The capacitor of capacitance in the circuit shown in fully charged initially. Resistance is R.- After the switch is closed, the time taken t2012 (SB/SX)
  12. 12A ball of mass suspended from a rigid support by an inextensible massless string is released from a height above its lowest point. At its lo2012 (SB/SX)
  13. 13An ideal monatomic gas expands to twice its volume. If the process is isothermal, the magnitude of work done by the gas is . If the process 2012 (SB/SX)
  14. 14The potential energy of a point particle is given by the expression . A dimensionless combination of the constant and is-2012 (SB/SX)
  15. 15Consider three concentric metallic spheres A, B and C of radii a, b, c respectively where a and are connected whereas is grounded. The poten2012 (SB/SX)
  16. 16A particle released from rest is falling through a thick fluid under gravity. The fluid exerts a resistive force on the particle proportiona2012 (SB/SX)
  17. 17The ratio of the speed of sound to the average speed of an air molecule at and 1 atmospheric pressure is close to-2012 (SB/SX)
  18. 18A stream of photons having energy each impinges on a potassium surface. The work function of potassium is . The emerging photo-electrons are2012 (SB/SX)
  19. 19A conducting rod of mass and length is free to move without friction on two parallel long conducting rails, as shown below. There is a resis2012 (SB/SX)
  20. 20An unpolarized beam of light of intensity passes through two linear polarizers making an angle of with respect to each other. The emergent b2012 (SB/SX)
  21. 21As shown in the figure below, a cube is formed with ten identical resistance (thick lines) and two shorteing wires (dotted lines) along the 2012 (SB/SX)
  22. 22Two identical bodies are made of a material for which the heat capacity increases with temperature. One of these is held at a temperature of2012 (SB/SX)
  23. 23A liquid drop placed on a horizontal plane has a near spherical shape (slightly flattened due to gravity). Let be the radius of its largest 2012 (SB/SX)
  24. 24In a Young's double slit experiment the intensity of light at each slit is . Interference pattern in observed along a direction parallel to 2012 (SB/SX)
  25. 25A metal is irradiated with light of wavelength . Given that the work that the work function of the metal is , the de Broglie wavelength of t2012 (SB/SX)
  26. 26A planet orbits in an elliptical path of eccentricity e around a massive star considered fixed at one of the foci. The point in space where 2012 (SB/SX)
  27. 27A parent nucleus is decaying into daughter nucleus which in turn decays to . The half lives of and are 40000 years and 20 years respectively2012 (SB/SX)
  28. 28A particle is acted upon by a force given by where and are positive constants. At the point , the particle is2012 (SB/SX)
  29. 29A loop carrying current has the shape of a regular polygon of sides. If is the distance from the centre to any vertex, then the magnitude of2012 (SB/SX)
  30. 30On a bright sunny day a diver of height stands at the bottom of a lake of depth . Looking upward, he can see objects outside the lake in a c2012 (SB/SX)
  31. 31A radioactive nucleus A has a single decay mode with half life . Another radioactive nucleus has two decay modes 1 and 2. If decay mode 2 we2012 (SB/SX)

Frequently Asked Questions

1.How many questions are in the KVPY 2012 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 2012 SA paper is listed separately - you can switch to it from the "KVPY Paper Wise PYQs" panel, under KVPY 2012.

4.How is the KVPY 2012 SB/SX paper structured?

The KVPY 2012 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 were asked the most in the KVPY 2012 SB/SX paper?

The chapters with the most questions in each subject were:

  • Chemistry: Hydrocarbons (4), Chemical Bonding and Molecular Structure (3), and Chemical Kinetics (3).
  • Mathematics: Definite Integration (4), Quadratic Equation (4), and Functions (3).
  • Physics: Magnetic Effects of Current (3), Nuclear Physics (3), and Thermal Properties of Matter (3).
6.Where can I find the solutions for the KVPY 2012 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 2012 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.