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KVPY 2019 SB/SX

Browse the complete Chemistry, Mathematics, and Physics question set from the KVPY 2019 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 major products of the following reaction. are2019 (SB/SX)
  2. 2Among the following, the compounds which can undergo an S N 1 reaction in an aqueous solution, are2019 (SB/SX)
  3. 3The major product of the following reaction. is2019 (SB/SX)
  4. 4Permanent hardness of water can be removed by2019 (SB/SX)
  5. 5Alkali metals M dissolve in liquid NH 3 to give2019 (SB/SX)
  6. 6The absolute configurations of the following compounds respectively, are2019 (SB/SX)
  7. 7Among the following transformations, the hybridisation of the central atom remains unchanged in2019 (SB/SX)
  8. 8The diamagnetic species among the following is2019 (SB/SX)
  9. 9For an octahedral complex MX 4 Y 2 ( M = a transition metal, X and Y are monodentate achiral ligands), the correct statement among the follo2019 (SB/SX)
  10. 10The curve that best describes the adsorption of a gas x g on 1 . 0 g of a solid substrate as a function of pressure p at a fixed temperature2019 (SB/SX)
  11. 11Nylon- 2 -nylon- 6 is a co-polymer of 6 -aminohexanoic acid and2019 (SB/SX)
  12. 12A solid is hard and brittle. It is an insulator in solid state, but conducts electricity in molten state. The solid is a2019 (SB/SX)
  13. 13For a first order chemical reaction,2019 (SB/SX)
  14. 14An allotrope of carbon which exhibits only two types of C - C bond distance of 143 . 5 pm and 138 . 3 pm , is2019 (SB/SX)
  15. 15Thermal decomposition of N 2 O 5 occurs as per the equation below : 2 N 2 O 5 4 NO 2 + O 2 The correct statement is2019 (SB/SX)
  16. 16The values of the Henry s law constant of Ar , CO 2 , CH 4 and O 2 in water at 25 C are 40 . 30 , 1 . 67 , 0 . 41 and 34 . 86 kbar , respect2019 (SB/SX)
  17. 17The boiling point of 0 . 001 M aqueous solutions of NaCl , Na 2 SO 4 , K 3 PO 4 and CH 3 COOH should follows the order.2019 (SB/SX)
  18. 18The octahedral complex Co NH 3 5 SO 4 Cl exists in two isomeric forms X and Y . Isomer X reacts with AgNO 3 to give a white precipitate, but2019 (SB/SX)
  19. 19The product of which of the following reactions forms a reddish brown precipitate when subjected to Fehling s test?2019 (SB/SX)
  20. 20Electrolysis of concentrated aqueous solution of NaCl results in2019 (SB/SX)
  21. 21The correct order of basicity of the following amines2019 (SB/SX)
  22. 22The major products X , Y and Z in the following sequence of transformations are2019 (SB/SX)
  23. 23In the following reaction, P gives two products Q and R each in 40 % yield. If the reaction is carried out with 420 mg of P , the reaction y2019 (SB/SX)
  24. 24Given that, the molar combustion enthalpy of benzene, cyclohexane and hydrogen are x , y and z , respectively, the molar enthalpy of hydroge2019 (SB/SX)
  25. 25Solubility products of CuI and Ag 2 CrO 4 have almost the same value ~ 4 10 - 12 . The ratio of solubilities of the two salts CuI : Ag 2 CrO2019 (SB/SX)
  26. 26Among the following, the pair of paramagnetic complexes is2019 (SB/SX)
  27. 27The major products X and Y in the following sequence of transformations are2019 (SB/SX)
  28. 283 . 0 g of oxalic acid CO 2 H 2 2 H 2 O is dissolved in a solvent to prepare a 250 mL solution. The density of the solution is 1 . 9 g / mL 2019 (SB/SX)
  29. 29Atoms of an element Z form hexagonal closed packed hcp lattice and atoms of element X occupy all the tetrahedral voids. The formula of the c2019 (SB/SX)
  30. 30In a titration experiment, 10 mL of an FeCl 2 solution consumed 25 mL of a standard K 2 Cr 2 O 7 solution to reach the equivalent point. The2019 (SB/SX)

Mathematics

  1. 1Let f x = x sin 1 x when x 0 1 when x = 0 and A = x R : f x = 1 Then, A has2019 (SB/SX)
  2. 2The area of the region bounded by the lines x = 1 , x = 2 , and the curves x y - e x = sin x and 2 x y = 2 sin x + x 3 is2019 (SB/SX)
  3. 3Let S be a subset of the plane defined by S = x , y : | x | + 2 | y | = 1 . Then, the radius of the smallest circle with centre at the origi2019 (SB/SX)
  4. 4The number of solutions of the equation sin 9 x + sin 3 x = 0 in the closed interval 0 , 2 is2019 (SB/SX)
  5. 5Let A B be a line segment with mid-point C and D be the mid-point of A C . Let C 1 be the circle with diameter A B and C 2 be the circle wit2019 (SB/SX)
  6. 6Among all the parallelograms whose diagonals are 10 and 4 , the one having maximum area has its perimeter lying in the interval2019 (SB/SX)
  7. 7The number of integers x satisfying - 3 x 4 + det 1 x x 2 1 x 2 x 4 1 x 3 x 6 = 0 is equal to2019 (SB/SX)
  8. 8Let A = R : 1 3 sin + 2 3 cos 2 = 1 3 sin 2 + 2 3 cos 2 . Then2019 (SB/SX)
  9. 9Let P be a non-zero polynomial such that P 1 + x = P 1 - x for all real x and P 1 = 0 . Let m be the largest integer such that x - 1 m divid2019 (SB/SX)
  10. 10The number of four-letter words that can be formed with letters a , b , c such that all three letters occur is2019 (SB/SX)
  11. 11Let z = x + i y and w = u + i v be complex numbers on the unit circle such that z 2 + w 2 = 1 . Then the number of ordered pairs z , w is2019 (SB/SX)
  12. 12The number of ordered pairs a , b of positive integers such that 2 a - 1 b and 2 b - 1 a are both integers is2019 (SB/SX)
  13. 13Ravi and Rashmi are each holding 2 red cards and 2 black cards (all four red and all four black cards are identical). Ravi picks a card at r2019 (SB/SX)
  14. 14Let A 1 , A 2 and A 3 be the regions on R 2 defined by A 1 = x , y : x 0 , y 0 , 2 x + 2 y - x 2 - y 2 1 x + y A 2 = x , y : x 0 , y 0 , x +2019 (SB/SX)
  15. 15Let E denote the set of letters of the English alphabet, V = a , e , i , o , u and C be the complement of V in E . Then, the number of four-2019 (SB/SX)
  16. 16Let 1 , 2 , 3 be planes passing through the origin. Assume that 1 is perpendicular to the vector 1 , 1 , 1 , 2 is perpendicular to a vector 2019 (SB/SX)
  17. 17Let a 0 , a 1 . Then, the set S of all positive real numbers b satisfying 1 + a 2 1 + b 2 = 4 a b is2019 (SB/SX)
  18. 18Let f : R R be a function defined by f x = sin x 2 x if x 0 0 if x = 0 Then, at x = 0 , f is2019 (SB/SX)
  19. 19Let f : R R be a continuous function such that f x 2 = f x 3 for all x R . Consider the following statements. I. f is an odd function. II. f2019 (SB/SX)
  20. 20Suppose a continuous function f : 0 , R satisfies f x = 2 0 x t f t d t + 1 , x 0 . Then, f 1 equals2019 (SB/SX)
  21. 21The points C and D on a semicircle with A B as diameter are such that A C = 1 , C D = 2 and D B = 3 . Then, the length of A B lies in the in2019 (SB/SX)
  22. 22Let A B C be a triangle and let D be the mid-point of B C . Suppose cot C A D : cot B A D = 2 : 1 . If G is the centroid of A B C , then the2019 (SB/SX)
  23. 23Let A be the set of vectors a = a 1 , a 2 , a 3 satisfying i = 1 3 a i 2 i 2 = i = 1 3 a i 2 2 i Then,2019 (SB/SX)
  24. 24Let f : 0 , 1 0 , 1 be a continuous function such that x 2 + f x 2 1 for all x 0 , 1 and 0 1 f x d x = 4 Then, 1 2 1 2 f x 1 - x 2 d x equal2019 (SB/SX)
  25. 25For x R , let f x = | sin x | and g x = 0 x f t d t . Let p x = g x - 2 x . Then2019 (SB/SX)
  26. 26Let f x = x 6 - 2 x 5 + x 3 + x 2 - x - 1 and g x = x 4 - x 3 - x 2 - 1 be two polynomials. Let a , b , c and d be the roots of g x = 0 . Th2019 (SB/SX)
  27. 27Let J = 0 1 x 1 + x 8 d x Consider the following assertions: I . J 1 4 II . J 8 Then,2019 (SB/SX)
  28. 28The number of solutions to sin sin 2 + sin cos 2 = 2 cos 2 cos satisfying 0 2 is2019 (SB/SX)
  29. 29Let a = i ^ + j ^ + k ^ , b = 2 i ^ + 2 j ^ + k ^ and c = 5 i ^ + j ^ - k ^ be three vectors. The area of the region formed by the set of po2019 (SB/SX)
  30. 30Let f : - 1 , 1 R be a differentiable function satisfying f x 4 = 16 f x 2 for all x - 1 , 1 f 0 = 0 The number of such functions is2019 (SB/SX)

Physics

  1. 1In a muonic atom, a muon of mass of 200 times of that of electron and same charge is bound to the proton. The wavelengths of its Balmer seri2019 (SB/SX)
  2. 2We consider the Thomson model of the hydrogen atom in which the proton charge is distributed uniformly over a spherical volume of radius 0 .2019 (SB/SX)
  3. 3A spherical rigid ball is released from rest and starts rolling down an inclined plane from height h = 7 m , as shown in the figure. It hits2019 (SB/SX)
  4. 4A girl drops an apple from the window of a train which is moving on a straight track with speed increasing with a constant rate. The traject2019 (SB/SX)
  5. 5A point mass M moving with a certain velocity collides with a stationary point mass M / 2 . The collision is elastic and in one-dimension. L2019 (SB/SX)
  6. 6A train is moving slowly at 2 m / s next to a railway platform. A man, 1 . 5 m tall, alights from the train such that his feet are fixed on 2019 (SB/SX)
  7. 7A certain stellar body has radius 50 R s and temperature 2 T s and is at a distance of 2 10 10 AU from the earth. Here, AU refers to the ear2019 (SB/SX)
  8. 8A particle of mass 2 / 3 kg with velocity v = - 15 m / s at t = - 2 s is acted upon by a force F = k - t 2 . Here, k = 8 N and = 2 N / s 2 .2019 (SB/SX)
  9. 9As shown in the schematic below, a rod of uniform cross-sectional area A and length l is carrying a constant current i through it and voltag2019 (SB/SX)
  10. 10A photon falls through a height of 1 km through the earth s gravitational field. To calculate the change in its frequency, take its mass to 2019 (SB/SX)
  11. 11Two identical coherent sound sources R and S with frequency f are 5 m apart. An observer standing equidistant from the source and at a perpe2019 (SB/SX)
  12. 120 . 02 moles of an ideal diatomic gas with initial temperature 20 C is compressed from 1500 cm 3 to 500 cm 3 . The thermodynamic process is 2019 (SB/SX)
  13. 13Unpolarised red light is incident on the surface of a lake at incident angle R . An observer seeing the light reflected from the water surfa2019 (SB/SX)
  14. 14A heater supplying constant power P watts is switched ON at time t = 0 min to raise the temperature of a liquid kept in a calorimeter of neg2019 (SB/SX)
  15. 15A neutral spherical copper particle has a radius of 10 nm 1 nm = 10 - 9 m . It gets charged by applying the voltage slowly adding one electr2019 (SB/SX)
  16. 16Originally the radioactive beta decay was thought as a decay of a nucleus with the emission of electrons only (Case I) . However, in additio2019 (SB/SX)
  17. 17A charge + q is distributed over a thin ring of radius with line charge density = q sin 2 / r . Note that the ring is in the X Y -plane and 2019 (SB/SX)
  18. 18One gram mole of an ideal gas A with the ratio of constant pressure and constant volume specific heats A = 5 / 3 is mixed with n gram moles 2019 (SB/SX)
  19. 19How will the voltage V between the two plates of a parallel plate capacitor depend on the distance d between the plates, if the charge on th2019 (SB/SX)
  20. 20Three large identical plates are kept parallel to each other. The outer two plates are maintained at temperatures T and 2 T , respectively. 2019 (SB/SX)
  21. 21A short solenoid (length l and radius r with n turns per unit length) lies well inside and on the axis of a very long, coaxial solenoid (len2019 (SB/SX)
  22. 22A metal rod of cross-sectional area 10 - 4 m 2 is hanging in a chamber kept at 20 C with a weight attached to its free end. The coefficient 2019 (SB/SX)
  23. 23Two containers C 1 and C 2 of volumes V and 4 V respectively, hold the same ideal gas and are connected by a thin horizontal tube of negligi2019 (SB/SX)
  24. 24Consider the wall of a dam to be straight with height H and length L . It holds a lake of water of height h h H on one side. Let the density2019 (SB/SX)
  25. 25Four electrons, each of mass m e are in a one dimensional box of size L . Assume that, the electrons are non-interacting, obey the Pauli exc2019 (SB/SX)
  26. 26A rope of length L and uniform linear density is hanging from the ceiling. A transverse wave pulse, generated close to the free end of the r2019 (SB/SX)
  27. 27A circuit consists of a coil with inductance L and an uncharged capacitor of capacitance C . The coil is in a constant uniform magnetic fiel2019 (SB/SX)
  28. 28Consider the configuration of a stationary water tank of cross-section area A 0 and a small bucket as shown in figure below; What should be 2019 (SB/SX)
  29. 29The circuit below is used to heat water kept in a bucket. Assuming heat loss only by Newton's law of cooling, the variation in the temperatu2019 (SB/SX)
  30. 30A bubble of radius R in water of density is expanding uniformly at speed v . Given that water is incompressible, the kinetic energy of water2019 (SB/SX)

Frequently Asked Questions

1.How many questions are in the KVPY 2019 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 2019 SA paper is listed separately - you can switch to it from the "KVPY Paper Wise PYQs" panel, under KVPY 2019.

4.What is the structure of the KVPY 2019 SB/SX paper?

The KVPY 2019 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 had the most questions in the KVPY 2019 SB/SX paper?

The chapters with the most questions in each subject were:

  • Chemistry: Aldehydes and Ketones (3), Coordination Compounds (3), and Solutions (3).
  • Mathematics: Definite Integration (4), Sets and Relations (3), and Trigonometric Equations (3).
  • Physics: Thermal Properties of Matter (5), Mechanical Properties of Fluids (3), and Atomic Physics (2).
6.Where can I find the solutions for the KVPY 2019 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 2019 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.