KVPY Exam Online Mock Test Set H

1. At 550K, the K_c for the following reaction is 10⁴ mol^–1 L

2. When a metal is added to dilute HCl solution there is no evolution of gas. Metal is –

3. Which of the following represents the correct order of increasing electron gain enthalpy with negative sign for the elements O, S, F and Cl ?

4. Aluminium is usually found in +3 oxidation state. In contrast, thallium exists in +1 and + 3 oxidation states. This is due to:

5. Which step is chain propagation step in the following mechanism?

6. In which of the following reactions, the underlined substance has been reduced?

7. Consider the following reaction : Which of the following is correct for above equation?

8. Which of the following has the maximum number of unpaired electrons?

9. The number of moles of KMnO₄ needed to reac completely with one mole of ferrous oxalate in acidic solution are :

10. For the reaction

11. The number of hydrogen atoms present in 25.6 g of sucrose (C₁₂H₂₂O₁₁) which has a molar mass of 342.3 g is:

12. Geometrical isomerism is possible in :

13. The compound which contains both ionic and covalent bond is:

14. An aeroplane flying at a constant speed releases a bomb. As the bomb moves away from the aeroplane, it will

15. Consider two identical iron spheres, one of which lies on a thermally insulating plate, while the other hangs from thermally insulating thread. The spheres are arranged so that their centres of mass are at the same height level (see figure). If equal amount of heat is supplied to the two spheres, then

16. In the given pressure-temperature diagram, for water, which point indicates triple point?

17. The figure shows a spherical hollow inside a lead sphere of radius R, the surface of the hollow passes through the centre of the sphere and "touches" the right side of the sphere. The mass of the sphere before hollowing was M. With what gravitational force does the hollowed out lead sphere attract a small sphere of mass m that lies at a distance 'd' from the centre of the lead sphere, on the straight line connecting the centres of the sphere and of the hollow :

18. A set of n identical cubical blocks lies at rest parallel to each other along a line on a smooth horizontal surface. The separation between the near surfaces of any two adjacent blocks is L. The block of one end is given a speed v towards the next one at time t = 0. All collisions are completely inelastic, then ;

19. Choose the incorrect statement:

20. An electron moves along the line PQ as shown which lies in the same plane as a circular loop of conducting wire as shown in figure. What will be the direction of the induced current initially in the loop when electron comes closer to loop?

21. An electron moves along the line PQ as shown which lies in the same plane as a circular loop of conducting wire as shown in figure. What will be the direction of the induced current initially in the loop when electron comes closer to loop?

22. Two masses m₁ and m₂ are connected by a massless spring of spring constant k and unstretched length l. The masses are placed on a frictionless straight channel, which are consider our x-axis. They are initially at x = 0 and x = l respectively. At t = 0, a velocity v₀ is suddenly imparted to the first particle. At a later time t, the centre of mass of the two masses is at:

23. Consider a moving charged particle in a region of magnetic field. Which of the following statements are correct ?

24. A cylindrical solid of length L and radius a is having varying resistivity given by ρ= ρ₀x, where ρ₀ is a positive constant and x is measured from left end of solid. The cell shown in the figure is having emf V and negligible internal resistance. The magnitude of electric field as a function of x is best described by

25. In an ideal transformer the number of turns of primary and secondary coil is given as 100 and 300 respectively. If the power input is 60 W, th power output is

26. Consider a Vernier callipers in which each 1 cm on the main scale is divided into 8 equal divisions and a screw gauge with 100 divisions on its circular scale. In the Vernier callipers, 5 divisions of the Vernier scale coincide with 4 divisions on the main scale and in the screw gauge, one complete rotation of the circular scale moves it by two divisions on the linear scale.
Select the correct statement :
I. If the pitch of the screw gauge is twice the least count of the Vernier callipers, the least count of the screw gauge is 0.01 mm
II. If the pitch of the screw gauge is twice the least count of the Vernier callipers, the least count of the screw gauge is 0.005 mm
III. If the least count of the linear scale of the screw gauge is twice the least count of theVernier callipers, the least count of the screw gauge is 0.01 mm
IV. If the least count of the linear scale of the screw gauge is twice the least count of the Vernier callipers, the least count of the screw
gauge is 0.005 mm

27. Three equal masses (each m) are placed at the corners of an equilateral triangle of side ‘a’. Then the escape velocity of an object from the circumcentre P of triangle is :

28. Two plates identical in size, one of black and rough surface (B₁) and the other smooth and polished (A₂) are interconnected by a thin horizontal pipe with a mercury pellet at the centre. Two more plates A₁ (identical to A₂) and B₂ (identical to B₁) are heated to the same temperature and placed closed to the plates B₁, and A₂ as shown in the fig. The mercury pellet

29. One end of uniform wire of length L and of weight W is attached rigidly to a point in the roof and a weight W₁ is suspended from its lower end. If s is the area of cross section of the wire, the stress in the wire at a height 3L/4 from its lower end is

30.

31. How many two digit numbers exist such that the product of two digit number and two digit number formed by reversing its digits end with 5.

32.

33. A hollow cube is inscribed in a hollow sphere, such that all the corners of cube touches sphere. Then the ratio of air between sphere and cube to the air in cube is

34. If cost price of 40 pens is more than cost of 15 copies but less than cost of 16 copies. What can be the minimum total cost of a pen and a copy if price of both pen and copy is an integer

35. AD is a diameter of a circle. Two more circles pass through A and intersect AD in B and C respectively, such that AB and AC are diameters of these circles and AD > AC > AB. If the circumference of the middle circle is average of the circumference of the other two, then given AB = 4 units and CD = 2 units, what is the area, in sq. units of the largest circle?

36. If ABC is a triangle right angled at B and M, N are the mid-points of AB and BC, then 4(AN² + CM²) is equal to :

37. In the figure shown, two identical circles of radii r are drawn. If the centre of the circles lie on each other circumference, what is the area of shaded region?

38.

39. A point E is taken on the side BC of a parallelogram ABCD. AE and DC are produced to meet at F. Then

40. Let a, b, c be distinct digits. Consider a two digit number ‘ab’ and three digits ‘ccb’ both defined under the usual decimal number system. If (ab)^² = ccb and ccb > 300, then the value of b is:

41. If (k, k) is the set of solution of system of equations ax + by + (t – s) = 0 and bx + ay + (s – r) = 0, a ≠ b. Then which of the following must be true.

42. How many values of natural number N exist such that both N and N + 3293 are perfect squares?

43. If N is a two digit number such that last two digit of N³ is 44 then what is the summation of all the possible values of N?

44. ax² + bx + c = 0
(a ≠ 0), then

45. The concentration of OH– ions in a solution with the H⁺ ions concentration of 1.3 x 10^–4 M is:

46. Which of the following pair is not correctly matched?

47. Sex determination in grasshoppers, humans, and Drosophila is similar because

48. Which of the following compounds of elements in group IV would you expect to be most ionic in character?

49. 3-Methyl-pent-2-ene on reaction with HBr in presence of peroxide forms an addition product. The number of possible stereoisomers for the product is :

50. Find the product of the given reaction

51. 1 c.c. N₂O at NTP contains :

52. Two identical uniform rectangular blocks (with longest side l) and a solid sphere of radius R are to be balanced at the edge of a heavy table such that the centre of the sphere remains at the maximum possible horizontal distance from the vertical edge of the table without toppling as indicated in the figure. If the mass of each block is M and of the sphere is M/2, the maximum distance x that can be achieved is:.

53. and fired horizontally with a velocity of 200 m/s from the top of a 30 m wall. The chain breaks during the flight of the cannon balls and one of them strikes the ground at t = 1.5s, at a distance of 250 m from the foot of the wall, and 5m to the right of the line of fire. Determine the position of the other cannon ball at that instant. Neglect the resistance of air.

54. A uniformly tapering conical wire is made from a material of Young's modulus Y and has a normal, unextended length L. The radii, at the upper and lower ends of this conical wire, have values R and 3R, respectively. The upper end of the wire is fixed to a rigid support and a mass M is suspended from its lower end. The equilibrium extended length, of this wire, would equal :

55. A vertical cylinder contains a movable frictionless piston separating the former into two portions. The two portions are filled with ideal gases, and at equilibrium, the ratio of the volumes of upper to the lower portions is 5 : 3. When the temperature of the system is doubled, the ratio becomes 3 : 2. Then the ratio of number of molecules in the upper to the lower portions is

56. Steel ruptures when a shear of 3.5 × 108 N m^–2 is applied. The force needed to punch a 1 cm diameter hole in a steel sheet 0.3 cm thick is nearly:

57. For a positive integer n, let p_ⁿ denote the product of the digits of n, and s_n denote the sum of the digits of n. the number of integers between 10 and 1000 for which p_n + s_n = n is

58. Through the vertex A of a parallelogram ABCD, line AEF is drawn to meet BC at E and DC produced at F. Then which of the following is true.

59. The sum of the area of two circles, which touch each other externally is 153p. If the sum of their radii is 15, then ratio of the areas of smaller to the larger circle is

60.

61. If a⁸ and 8^a is completely divisible by 50! Then which one of the following is true about ‘highest value of a’?

62. Smallest cell of human body is:

63. Contraction of gall bladder is induced by:

64. Which of the following conversions takes place in the blood clotting pathways?

65. Which of the following hormones can replace vernalisation?

66. Which of the following is not a steroid hormone?

67. In dicotyledonous stem, fascicular cambium is a meristematic tissue. It is an example of which of the following meristem?

68. Which of the following elements are involved in muscle contraction?

69. Pentoses and hexoses are the most common:

70. The most common indicator organism of polluted water is:

71. Pectin is:

72. Sinks are related to:

73. Meals which are rich in fat are not digested in the intestine in absence of:

74. Bacteria having single flagellum on both sides:

75. Which one of the following shortens when a muscle fibre contracts?

76. Maltose consists of which one of the following?

77. Which of the following oxides is not expected to react with sodium hydroxide?

78. Molecular weight of a gas that diffuses twice a rapidly as the gas with molecular weight 64 is: