Rao IIT Academy/Rao Intelligence Search Examination/2017/Sample Paper / Std. XI. Physics. Single Correct Questions +3 1

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/Rao Intelligence Search Examination/2017/Sample Paper / Std. XI Physics Single Correct Questions +3 1 1. Three conducting rods of same material and cross section are shown in ﬁgure.

1 /Rao Intelligence Search Examination/2017/Sample Paper / Std. XI Physics Single Correct Questions Three conducting rods of same material and cross section are shown in ﬁgure. Temperature of A, D and C points are there is no heat ﬂow in AB is /2 and 7/2. The ratio of length BD and BC if None of these The coeﬃcient of volume expansion of mercury is 20 times the coeﬃcent of linear expansion of glass. The volume of mercury that must be poured into a glass vessel of volume V so that the volume above mercury may remain constant at all temperatures V/20 3., V/10 3V/20 V/5 A stick of cross sectional area 1cm2 and length 1m is initially at a temperature of. It is then kept between 2 reservoirs of temperatures and. For the stick, speciﬁc heat capacity is and linear mass density is 2kg/m. The Temperature gradient along the rod in steady state is 1

The normal force exerted by the ground is maximum at point (the plane containing points A, B, C, D and E is vertical) A B C and E D 6.

2 /Rao Intelligence Search Examination/2017/Sample Paper / Std. XI 4. Consider a spring in an unstretched position in the vertical direction. When a block is released from rest, the maximum extension in the spring is 5. Consider a car moving with constant speed along the road as shown. The normal force exerted by the ground is maximum at point (the plane containing points A, B, C, D and E is vertical) A B C and E D 6. A constant force 10N is applied over a block connected with two springs in series as shown in figure. The extension in the first spring connected with wall in equilibrium is Cannot say 2

/Rao Intelligence Search Examination/2017/Sample Paper / Std. XI 7. The potential energy of a conservative force along a straight line is given by select the correct option.

3 /Rao Intelligence Search Examination/2017/Sample Paper / Std. XI 7. The potential energy of a conservative force along a straight line is given by select the correct option. All equilibrium points are stable No equilibrium point exists There is one stable and one unstable point 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 its axis vertical. The horizontal ground is smooth but the wall of the cylinder is rough with coefficient. If initial velocity of block is u, the velocity at time t is None of these 9. The work done by the spring (k) in bringing a hanging block from maximum extension (2x 0 ) to mean position (x 0 ) in vertical motion is 0 3

/Rao Intelligence Search Examination/2017/Sample Paper / Std. XI 10.

A block of mass m at the top is initially at rest.

Consider a rope of length L being pulled by a constant force F on a smooth horizontal surface.

4 /Rao Intelligence Search Examination/2017/Sample Paper / Std. XI 10. A sphere is accelerated on a horizontal plane with acceleration a = g/2. A block of mass m at the top is initially at rest. Find the velocity of the block with respect to sphere at point A making angle with the vertical 11. Consider a rope of length L being pulled by a constant force F on a smooth horizontal surface. The linear density of the rope increases from B to A. The strain produced as x increases along rope increases may increase or decrease decreases remains constant 12. In vertical circular motion of a bob a ached to a string of length, the minimum velocity at the top most point to complete vertical circle is Zero 4

The maximum potential energy is stored in the spring of spring constant 14.

5 /Rao Intelligence Search Examination/2017/Sample Paper / Std. XI 13. Consider three springs connected in series as shown in figure. The maximum potential energy is stored in the spring of spring constant same in all Consider a mixture of water vapour at temperature of the mixture is and, water and ice as shown. The equilibrium 15. Work done by a di atomic gas (2 moles) when temperature changes from to under isobaric condition is 20R 30R 50R 60R 5

/Rao Intelligence Search Examination/2017/Sample Paper / Std. XI 16. Consider a closed container filled with a liquid upto some height. It is given that.

6 /Rao Intelligence Search Examination/2017/Sample Paper / Std. XI 16. Consider a closed container filled with a liquid upto some height. It is given that.when the container is heated, the volume of empty space of the container increases decreases remains same depends on and values 17. Consider a di atomic gas kept inside container with flexible walls. The bulk modulus of the gas at constant temperature is P T V 18. In a two step thermodynamic cyclic process, heat absorbed and work done are given with signs during the processes as The efficiency of the engine is 30% 50% 75% 100% 6

A person standing on a plank starts running over the plank with velocity v with respect to the plank. The ground is smooth.

7 /Rao Intelligence Search Examination/2017/Sample Paper / Std. XI 19. Consider a heat conductor with variable cross section area as shown in ﬁgure. Two elements are shown with same thickness such that If, is change in temperature and 20. A person standing on a plank starts running over the plank with velocity v with respect to the plank. The ground is smooth. The work done by him on the plank with respect to ground is Can not say Chemistry Single Correct Questions How large a balloon could be ﬁlled with 4g of He(g) at 22o C and 729 mm of Hg? L L L L 20 dm3 of SO2 diﬀuses through a boron partition in 60 sec. What volume of O2 will diﬀuse under similar conditions in 30 secs. 7.7 dm dm dm dm3 7

/Rao Intelligence Search Examination/2017/Sample Paper / Std. XI 23. The compressibility factor of a gas is less than unity at NTP. Thus V m > 22.4 lit V m < 22.4 lit V m = 22.4 lit V m = 44.8 lit 24.

8 /Rao Intelligence Search Examination/2017/Sample Paper / Std. XI 23. The compressibility factor of a gas is less than unity at NTP. Thus V m > 22.4 lit V m < 22.4 lit V m = 22.4 lit V m = 44.8 lit 24. Equal mass of methane and oxygen are mixed in an empty container at 25 o C. Fraction of total pressure exerted by oxygen is As the temperature is raised from 20 o to 40 o C, the average kinetic energy of Neon gas changes by a factor of Density of a gas is g/dm 3 at 273 K and 76 cm Hg. The gas is The root mean square (rms) velocity of a CO 2 gas molecules at 1000 o C is... 47,474 cm/sec 94,825 cm/sec 84,948 cm/sec 42,474 cm/sec 28. If a gas absorbs 200 J of heat and expands by 500 cm 3 against a constant pressure of, then change in internal energy is J 100 J 100 J 300 J 8

9 /Rao Intelligence Search Examination/2017/Sample Paper / Std. XI 29. For which of the following reactions heat at constant pressure is not equal to heat at constant volume? 30. Temperature of 1 mole of a gas is increased by 1 o C at constant pressure. The net work done is? R 2 R 3 R 31. An ideal gas expands in volume from to at 300 K against a constant pressure of The work done is kj 900 J 270 kj 940 kj 32. In monoatomic gases, ratio of molar heat at constant pressure to that at constant volume is Two moles of an ideal gas is expanded isothermally and reversibly from 1 lit to 10 lit at 300 K. The enthalpy change (in kj) for the process is kj 11.4 kj 0 kj 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, 245 K) with a change in internal energy, The change in enthalpy of the process in L atm is

10 /Rao Intelligence Search Examination/2017/Sample Paper / Std. XI 35. Which of the following compound contain ionic, covalant as well as coordinate covalent bond? NaCl CaCl 2 NH 4 Cl ZnCl Hybridisation of carbon in carbon suboxide is 37. Which of the following is correct for N ethyl N Methyl 2 propanamine? 38. Bond order of is IUPAC name of is 3 Keto 4 oxa hexane propyl propanoate 1 propoxy propanone 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 : 10

/Rao Intelligence Search Examination/2017/Sample Paper / Std. XI Mathematics Single Correct Questions +3 1 41.

36 If 25 If 43 is 81 Straight line None of these farthest from circle 44. 40 then minimum value of 49 43.

11 /Rao Intelligence Search Examination/2017/Sample Paper / Std. XI Mathematics Single Correct Questions For how many three element sets of positive integers If 25 If 43 is 81 Straight line None of these farthest from circle then minimum value of such that then value of is denote the lengths of the perpendicular from the origin on the lines and respectively then is equal to 45. If are the real roots of the equation then the centroid of the triangle with vertices is 11

/Rao Intelligence Search Examination/2017/Sample Paper / Std. XI 46.

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

to vertex B 48. A variable chord of the circle is drawn through origin.

12 /Rao Intelligence Search Examination/2017/Sample Paper / Std. XI 46. If are unequal and different from 1. Such that the points. and are collinear then 47. If are the vertices of a triangle then the equation represents. Median through A Altitude through A Perpendicular bisector of BC The line joining the centroid to vertex B 48. A variable chord of the circle is drawn through origin. Locus of the centre of the circle drawn on this chord as diameter. 49. If a circle passes through the point and cuts the circle orthogonally, the equation of the locus of its centre is 12

13 /Rao Intelligence Search Examination/2017/Sample Paper / Std. XI 50. If two distinct chords, drawn from the point on the circle. are bisected by the x axis, then 51. The maximum possible number of points of intersection of 7 straight lines and 5 circles is The number of positive integers < 100,000 which contain exactly one 2, one 5 and one 7 in its decimal representation is Sum of the factors of which are odd, and are of the form where is a natural number is Let The total number of unordered pairs of disjoint subsets of is equal to The le ers of the word COCHIN are permuted and all the permutations are arranged in the alphabetical order as in an English dictionary then the rank of word COCHIN is If the area of be then is equal to None of these 13

14 RAO IIT ACADEMY /Rao Intelligence Search Examination/2017/Sample Paper / Std. XI 57. If twice the square of the diameter of a circle is equal to the sum of the squares of the sides of the inscribed triangle ABC, then is equal to If in a triangle then None of these 59. In a and were given then difference between two values of is 60. In a triangle is altitude from and then is equal to 67 o 113 o 157 o None of these 14

RAO IIT ACADEMY /Rao Intelligence Search Examination/2017/Sample Paper / Std. XI ANSWERKEY 1. C 2. C 3. C 4. B 5. D 6. B 7. C 8. A 9. C 10. A 11. B 12. A 13. C 14. B 15. D 16. D 17. A 18. B 19. A 20.

15 RAO IIT ACADEMY /Rao Intelligence Search Examination/2017/Sample Paper / Std. XI ANSWERKEY 1. C 2. C 3. C 4. B 5. D 6. B 7. C 8. A 9. C 10. A 11. B 12. A 13. C 14. B 15. D 16. D 17. A 18. B 19. A 20. A 21. B 22. B 23. B 24. C 25. D 26. C 27. C 28. C 29. D 30. A 31. B 32. B 33. C 34. C 35. C 36. C 37. D 38. C 39. C 40. B 41. C 42. A 43. C 44. C 45. A 46. D 47. A 48. C 49. B 50. D 51. A 52. A 53. A 54. D 55. C 56. C 57. A 58. C 59. C 60. B 1

HEAT- I Part - A C D A B. Te m p. Heat input

HEAT- I Part - A C D A B. Te m p. Heat input e m p HE- I Part -. solid material is supplied with heat at a constant rate. he temperature of the material is changing with heat input as shown in the graph. Study the graph carefully and answer the following