Rao IIT Academy / RISE / 2018 - 19 / Sample Paper / Std.-XI/QP · (A)V/20 (B)V/10 (C)3V/20 (D)V/5...

PhysicsSingle Correct Questions +3 | ‑1

1. Three conducting rods of same material and cross section are shown in figure.

Temperature of A, D and C points are , and . The ratio of length BD and BC ifthere is no heat flow in AB is

(A) 1 (B) 3/2 (C) 7/2 (D)None of these

2. The coefficient of volume expansion of mercury is 20 times the coefficent of linear expansion ofglass. The volume of mercury that must be poured into a glass vessel of volume V so that thevolume above mercury may remain constant at all temperatures

(A) V/20 (B) V/10 (C) 3V/20 (D) V/5

3. A stick of cross sectional area 1cm2 and length 1m is initially at a temperature of . It is thenkept between 2 reservoirs of temperatures and . For the stick, specific heat capacityis and linear mass density is 2kg/m. The Temperature gradient along the rod in steadystate is

(A) (B) (C) (D)

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Rao IIT Academy / RISE / 2018 - 19 / Sample Paper / Std.-XI/QP

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4. Consider a spring in an unstretched position in the vertical direction. When a block is releasedfrom rest, the maximum extension in the spring is

(A) (B) (C) (D)

5. Consider a car moving with constant speed along the road as shown. The normal force exerted bythe ground is maximum at point (the plane containing points A, B, C, D and E is vertical)

(A) A (B) B (C) C and E (D) D

6. A constant force 10N is applied over a block connected with two springs in series as shown infigure. The extension in the first spring connected with wall in equilibrium is

(A) (B) (C) (D) Cannot say

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7. The potential energy of a conservative force along a straight line is given by

select the correct option.

(A) All equilibrium points are stable

(B) No equilibrium point exists

(C) There is one stable and one unstable point

(D) There are two equilibrium points and both are stable.

8. Consider a block (m) rotating against the inner vertical surface of a cylinder of radius R with itsaxis vertical. The horizontal ground is smooth but the wall of the cylinder is rough withcoefficient . If initial velocity of block is u, the velocity at time t is

(A) (B) (C) (D)None of these

9. The work done by the spring (k) in bringing a hanging block from maximum extension (2x0) tomean position (x0) in vertical motion is

(A) 0 (B) (C) (D)

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10. A sphere is accelerated on a horizontal plane with acceleration a = g/2. A block of mass m at thetop is initially at rest. Find the velocity of the block with respect to sphere at point A makingangle with the vertical

(A) (B)

(C) (D)

11. Consider a rope of length L being pulled by a constant force F on a smooth horizontal surface. Thelinear density of the rope increases from B to A. The strain produced as x increases along rope

(A) increases (B) decreases

(C) may increase or decrease (D) remains constant

12. In vertical circular motion of a bob a�ached to a string of length , the minimum velocity at the topmost point to complete vertical circle is

(A) (B) (C) Zero (D)

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13. Consider three springs connected in series as shown in figure. The maximum potential energy isstored in the spring of spring constant

(A) 2 (B) 4 (C) 1 (D) same in all

14.

Consider a mixture of water vapour at , water and ice as shown. The equilibriumtemperature of the mixture is

and

(A) (B) (C) (D)

15. Work done by a di‑atomic gas (2 moles) when temperature changes from to underisobaric condition is

(A) 20R (B) 30R (C) 50R (D) 60R

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16. Consider a closed container filled with a liquid upto some height. It is given that .Whenthe container is heated, the volume of empty space of the container

(A) increases (B) decreases

(C) remains same (D) depends on and values

17. Consider a di‑atomic gas kept inside container with flexible walls. The bulk modulus of the gas atconstant temperature is

(A) P (B) T (C) V (D)

18. In a two step thermodynamic cyclic process, heat absorbed and work done are given with signsduring the processes as

The efficiency of the engine is

(A) 30% (B) 50% (C) 75% (D) 100%

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19. Consider a heat conductor with variable cross ‑ section area as shown in figure. Two elementsare shown with same thickness such that If , is change in

temperature and

(A) (B)

(C) (D)

20. A person standing on a plank starts running over the plank with velocity v with respect to theplank. The ground is smooth. The work done by him on the plank with respect to ground is

(A) (B) (C) (D) Can not say

Chemistry

21. How large a balloon could be filled with 4g of He(g) at 22o C and 729 mm of Hg?

(A) 22.585 L (B) 25.565 L (C) 50.24 L (D) 51.24 L

22. 20 dm3 of SO2 diffuses through a boron partition in 60 sec. What volume of O2 will diffuse undersimilar conditions in 30 secs.

(A) 7.7 dm3 (B) 14.14 dm3 (C) 21.21 dm3 (D) 24.24 dm3

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23. The compressibility factor of a gas is less than unity at NTP. Thus

(A) Vm > 22.4 lit (B) Vm < 22.4 lit (C) Vm = 22.4 lit (D) Vm = 44.8 lit

24. Equal mass of methane and oxygen are mixed in an empty container at 25o C. Fraction of totalpressure exerted by oxygen is .....

(A) (B) (C) (D)

25. As the temperature is raised from 20o to 40o C, the average kinetic energy of Neon gas changes bya factor of ......

(A) (B) 2 (C) (D)

26. Density of a gas is 1.964 g/dm3 at 273 K and 76 cm Hg. The gas is ......

(A) (B) (C) (D)

27. The root mean square (rms) velocity of a CO2 gas molecules at 1000o C is .....

(A) 47,474 cm/sec (B) 94,825 cm/sec (C) 84,948 cm/sec (D) 42,474 cm/sec

28. If a gas absorbs 200 J of heat and expands by 500 cm3 against a constant pressure of , then change in internal energy is ......

(A) ‑ 200 J (B) ‑ 100 J (C) 100 J (D) 300 J

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29. For which of the following reactions heat at constant pressure is not equal to heat at constantvolume?(A)(B)

(C)

(D)

30. Temperature of 1 mole of a gas is increased by 1o C at constant pressure. The net work done is______?

(A) R (B) 2 R (C) 3 R (D)

31. An ideal gas expands in volume from to at 300 K against a constantpressure of The work done is .......

(A) ‑ 900 kJ (B) ‑ 900 J (C) 270 kJ (D) 940 kJ

32. In monoatomic gases, ratio of molar heat at constant pressure to that at constant volume is ......

(A) (B) (C) (D)

33. Two moles of an ideal gas is expanded isothermally and reversibly from 1 lit to 10 lit at 300 K. Theenthalpy change (in kJ) for the process is ......

(A) 11.4 kJ (B) ‑ 11.4 kJ (C) 0 kJ (D) 4. 8 kJ

34. One mole of a non ideal gas undergoes a change of state (2.0 atm, 3.0 L, 85 K) to (4.0 atm, 5.0 L, 245K) with a change in internal energy, The change in enthalpy of theprocess in L atm is

(A) 40 (B) 42.3 (C) 44.0 (D) 56

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35. Which of the following compound contain ionic, covalant as well as coordinate covalent bond ?

(A) NaCl (B) CaCl2 (C) NH4Cl (D) ZnCl2

36. Hybridisation of carbon in carbon suboxide is

(A) (B) (C) (D)

37. Which of the following is correct for N‑ethyl‑N‑Methyl‑2‑propanamine?

(A) (B)

(C) (D)

38. Bond order of is

(A) 2 (B) 2.5 (C) 1.75 (D) 3

39. IUPAC name of is

(A) 3‑Keto‑4‑oxa hexane (B) 1‑propoxy propanone

(C) propyl propanoate (D) 4‑oxa‑3‑hexanone

40. The heat of neutralisation of oxalic acid with a strong base is Hence,the enthalpy change of the dissociation process is :

(A) (B) (C) (D)

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Mathematics

41. For how many three element sets of positive integers such that

(A) 32 (B) 36 (C) 40 (D) 43

42. If then minimum value of is

(A) 49 (B) 25 (C) 81 (D)None of these

43. Straight line farthest from circle then value of is

(A) (B) (C) (D)

44. If denote the lengths of the perpendicular from the origin on the lines

and respectively then isequal to

(A) (B) (C) (D)

45. If are the real roots of the equation then the centroid of the

triangle with vertices is

(A) (B)

(C) (D)

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46. If are unequal and different from 1. Such that the points.

and are collinear then(A) (B)(C) (D)

47. If are the vertices of a triangle then the equation

represents.

(A) Median through A

(B) Altitude through A

(C) Perpendicular bisector of BC

(D) The line joining the centroid to vertex B

48. A variable chord of the circle is drawn through origin. Locus of the centre ofthe circle drawn on this chord as diameter.(A) (B)

(C) (D)

49. If a circle passes through the point and cuts the circle orthogonally, theequation of the locus of its centre is(A) (B)

(C) (D)

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50. If two distinct chords, drawn from the point on the circle.

are bisected by the x‑axis, then

(A) (B) (C) (D)

51. The maximum possible number of points of intersection of 7 straight lines and 5 circles is

(A) 111 (B) 109 (C) 107 (D) 105

52. The number of positive integers < 100,000 which contain exactly one 2, one 5 and one 7 in itsdecimal representation is

(A) 2940 (B) 7350 (C) 2157 (D) 1582

53. Sum of the factors of which are odd, and are of the form where is a naturalnumber is

(A) 40 (B) 45 (C) 51 (D) 54

54. Let The total number of unordered pairs of disjoint subsets of is equal to

(A) 25 (B) 34 (C) 42 (D) 41

55. The le�ers of the word COCHIN are permuted and all the permutations are arranged in thealphabetical order as in an English dictionary then the rank of word COCHIN is

(A) 95 (B) 96 (C) 97 (D) 98

56. If the area of be then is equal to

(A) (B) (C) (D)None of these

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57. If twice the square of the diameter of a circle is equal to the sum of the squares of the sides of theinscribed triangle ABC, then is equal to

(A) 2 (B) 3 (C) 4 (D) 1

58. If in a triangle then

(A) (B)

(C) (D) None of these

59. In a and were given then difference between two values of is

(A) (B)

(C) (D)

60. In a triangle is altitude from and then isequal to

(A) 67o (B) 113o (C) 157o (D)None of these

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ANSWERKEY

1. C 2. C 3. C 4. B5. D 6. B 7. C 8. A9. C 10. A 11. B 12. A13. C 14. B 15. D 16. D17. A 18. B 19. A 20. A21. B 22. B 23. B 24. C25. D 26. C 27. C 28. C29. D 30. A 31. B 32. B33. C 34. C 35. C 36. C37. D 38. C 39. C 40. B41. C 42. A 43. C 44. C45. A 46. D 47. A 48. C49. B 50. D 51. A 52. A53. A 54. D 55. C 56. C57. A 58. C 59. C 60. B



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Rao IIT Academy / RISE / 2018 - 19 / Sample Paper / Std.-XI / KEY

Rao IIT Academy / RISE / 2018 - 19 / Sample Paper / Std.-XI/QP · (A)V/20 (B)V/10 (C)3V/20 (D)V/5...

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