FIITJEE RT I (CHAMPIONS_2 ND YEAR)

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1 FIITJEE RT I (CHAMPIONS_ ND YEAR) MAINS DATE: Time: hours Maximum Marks: 6 INSTRUCTIONS: Instructions to the Candidates 1. This Test Booklet consists of 9 questions. Use Blue/Black ball Point Pen only for writing particulars and bubbling of OMR.. For each correct answer 4 Marks will awarded and for each wrong answer 1 Mark will be deducted.. Attempt all questions. 4. In case you have not darkened any bubble you will be awarded mark for that question. 5. Use of calculator/logarithmic table is not permitted. Don t write / mark your answers in this question booklet. If you mark the answers in question booklet, you will not be allowed to continue the exam. NAME: ENROLLMENT NO.: FIITJEE (Hyderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) Hyderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) Huda Park, Vijaynagar Colony, Kukatpally, Hyderabad Ph : FIITJEE Limited. Plot No. 9A, (Opp. Sashi Hospital), Gaddiannaram, Dilsukhnagar, Hyderabad, 56. Ph:

2 RT-I ( ND YEAR_CHAMP)-19-MPC- 1. The vectors a and b are mutually perpendicular, then a a a a b (A) a b (B) 4 b a (C) 4 a b = ab. Let a ˆi ˆj,b ˆj k,c ˆ kˆ ˆi. If d is a unit vector such that a d b c d, then d is equal to (A) ˆi ˆj kˆ 6 (B) ˆi ˆj kˆ (C) ˆi ˆj kˆ. Unit vectors a,b,c are coplanar. A unit vector d is perpendicular to them. If 1 ˆ 1 ˆ 1 ab c d i j kˆ and the angle between a and b is, then c = 6 (A) ˆ i j ˆ k ˆ i ˆ ˆj kˆ ˆi j ˆ kˆ ˆi j ˆ kˆ (B) (C), then (B) ˆi j ˆ kˆ 4. If ˆ ˆ ˆ ˆ a i j,b i k (A) ˆ ˆ ˆ i j k a b a a b = ˆk (C) ˆi ˆj kˆ ˆ i ˆ j k ˆ 5. Let a be a unit vector and b be a non-zero vector not parallel to a. If two sides of a triangle are represented by the vectors ab and b a ba, then the angles of the triangle are (A) 9, 6, (B) 45, 45, 9 (C) 6, 6, 6 75, 45, 6 6. If b,c,d are non-coplanar vectors, then the vector abc d ac db a d b c is parallel to (A) a (B) b (C) c a b 7. Let a be a unit vector and b be a non zero vector not parallel to a. If u a b and v b, then u,v = (A) (B) (C) In a regular tetrahedron the angle between any two faces is (A) sin (B) cos (C) tan cos 1 1 FIITJEE (Hyderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) Hyderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) Huda Park, Vijaynagar Colony, Kukatpally, Hyderabad Ph : FIITJEE Limited. Plot No. 9A, (Opp. Sashi Hospital), Gaddiannaram, Dilsukhnagar, Hyderabad, 56. Ph:

3 RT-I ( ND YEAR_CHAMP)-19-MPC- 9. Let a,b and c be non zero vectors such that vectors b and c, then sin = (A) 1 (B) 1 a b c b c a. If is the acute angle between the (C) 1. ab bcbc c ac a ab = (A) (B) 4 a b c (C) a b c 4 a b c 11. Let a ˆj k,c ˆ ˆi ˆj kˆ, then vector b satisfying ab c and a b is (A) ˆi ˆj kˆ (B) i ˆ ˆj kˆ (C) ˆ i ˆ j k ˆ ˆ i ˆ j k ˆ 1. If a,b,c are unit vectors such that a,b c,a b, then c a b = (A) 1 sin (B) sin (C) 1 sin ai ˆ bj ˆ ck, ˆ bi ˆ cj ˆ akˆ and ci ˆ aj ˆ bkˆ be three coplanar vectors with and r ˆi ˆj kˆ, then r is perpendicular to (A) (B) (C),,, then ab b c c a 14. If 4a 5b 9c = (A) A vector perpendicular to the plane of a,b and c (B) 4a 5b 9c (C) a b c 15. The unit vector which is orthogonal to the vector i ˆ j ˆ 6kˆ and is coplanar with the vectors i ˆ ˆj kˆ and ˆi ˆj kˆ is (A) i ˆ 6j ˆ kˆ 41 (B) i ˆ j ˆ 1 (C) j ˆ kˆ 1 4i ˆ j ˆ kˆ 4 FIITJEE (Hyderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) Hyderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) Huda Park, Vijaynagar Colony, Kukatpally, Hyderabad Ph : FIITJEE Limited. Plot No. 9A, (Opp. Sashi Hospital), Gaddiannaram, Dilsukhnagar, Hyderabad, 56. Ph:

4 RT-I ( ND YEAR_CHAMP)-19-MPC If r is a unit vector such that r xbc yc a za b, then r abc r bc a r ca b = (A) a b c (B) 1 (C) a b c 17. If a and b are two mutually perpendicular unit vectors and the vectors xa xb zab,a a b and za zb ya b lie in a plane, then z is (A) A.M of x and y (B) G.M of x and y (C) H.M of x and y equal to zero 18. If a,b, c is a perpendicular to a and b, a, b 4, c 6 6, then a b c (A) 1 (B) 48 (C) If a xi ˆ 1j ˆ k,b ˆ i ˆ xj ˆ kˆ and c ˆi kˆ and given that the vectors a,b,c form a right handed system, then the range of x is (A) R [, ] (B) ( 4, ) (C) R (, ) (, ). If a,b,c are position vectors of three non coplanar points A, B, C respectively, the shortest distance of A from BC is (A) a b c (B) (C) b a a b ba c a b c b ba c b 1. If a,b,c are three non coplanar, non zero vectors, then a abc a bc a a cab (A) a b c c (B) b c a a (C) c a b b 1 A B C, then the volume of the parallelepiped whose x 11 x 1 x 1 x 11 x 1 x 1. If adjacent sides are Ai ˆ Bj ˆ Ck,Ai ˆ ˆ Bj, ˆ ˆi Bj ˆ 4Ckˆ is (in cu. units) (A) 5 (B) 4 (C) FIITJEE (Hyderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) Hyderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) Huda Park, Vijaynagar Colony, Kukatpally, Hyderabad Ph : FIITJEE Limited. Plot No. 9A, (Opp. Sashi Hospital), Gaddiannaram, Dilsukhnagar, Hyderabad, 56. Ph:

5 RT-I ( ND YEAR_CHAMP)-19-MPC-5. If a ˆi ˆj kˆ and b i ˆ 4j ˆ and ab xi ˆ yj ˆ sin kˆ, then (x, y, ) = 4,,n 1,n Z, 4,n 1,n Z 6 (A) n (C) n 4,,n 1,n Z,4,n 1,n Z (B) n n 4. Given a mb nc =. The value of ab bc c a is, then (A) m + n = 1 (B) m + n = 1 (C) m + mn = 1 m n = 1 5. Let u ˆi ˆj,v ˆi ˆj,w ˆi j ˆ kˆ. If n is a unit vector such that un,v n, then w n = (A) (B) 1 (C) 6. Let a,1, 1,b1,,1,c, 1, and d, 1, be four vectors. The projection of the vector a c on the vector b d c is (A) (B) (C) Let a,b be two non collinear unit vectors. If a a bb, a b, then (A) (B) (C) 8. Let a i ˆ ˆj k, ˆ b ˆi j ˆ kˆ and a unit vector c be coplanar. If c is perpendicular to a, then c is (A) 1 ˆ j k ˆ (B) 1 ˆi ˆj kˆ (C) 1 ˆ i j ˆ 1 ˆ i ˆ j k ˆ Let a i ˆ ˆj k,b ˆ ˆi j ˆ kˆ and c ˆi ˆj kˆ be three vectors. A vector in the plane of b and c whose projection on a is of magnitude (A) ˆ ˆ ˆ i j k (B) ˆ ˆ ˆ is i j k (C) i ˆ ˆj 5kˆ i ˆ ˆj 5kˆ. The ABC is defined by the vertices A (1,, ), B(1, 4, ) and C( 4, 1, 1). Let M be the foot of the altitude drawn from the vertex B to side AC. The BM = 1 (A),, (B) (,, 1) (C) (,, 1) (1,, ) FIITJEE (Hyderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) Hyderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) Huda Park, Vijaynagar Colony, Kukatpally, Hyderabad Ph : FIITJEE Limited. Plot No. 9A, (Opp. Sashi Hospital), Gaddiannaram, Dilsukhnagar, Hyderabad, 56. Ph:

6 RT-I ( ND YEAR_CHAMP)-19-MPC-6 1. Which one of the following statements is not true about thermal radiations? (A) All bodies emit thermal radiations at all temperature (B) Thermal radiations are electromagnetic waves (C) Thermal radiations are not reflected from a mirror Thermal radiations travel in free space with a velocity of. Two ends of a conducting rod of varying cross section are maintained at C and Crespectively. There are two sections marked in the rod AB and CD of same thickness. In steady sate. (A) Temperature difference across AB and CD are equal (B) Temperature difference across AB is greater than that of across CD (C) Temperature difference across AB is less than that of across CD Temperature difference may be equal or different depending on the thermal conductivity of the rod ms. Why two thin blanket put together are warmer than one blanket of double the thickness? (A) Conductivity depends upon thickness (B) Two blankets enclose a layer of air between them (C) One blanket closes the pores in the other Because of some reason other than those mentioned above 4. The graph shows how temperature varies with distance along a well insulated metal rod which is conducting thermal energy at a steady rate. The slope of this graph is the temperature gradient. There is an analogy between electrical conduction and thermal energy conduction. If an equivalent electrical graph were to be drawn, which electrical quantity, when plotted against distance along the rod, would have the slope shown? Electrical Quantity Slope (A) Charge Current (B) Potential Potential gradient (C) Potential difference Resistance Current Current gradient FIITJEE (Hyderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) Hyderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) Huda Park, Vijaynagar Colony, Kukatpally, Hyderabad Ph : FIITJEE Limited. Plot No. 9A, (Opp. Sashi Hospital), Gaddiannaram, Dilsukhnagar, Hyderabad, 56. Ph:

7 RT-I ( ND YEAR_CHAMP)-19-MPC-7 5. A composite rod of uniform cross- section has copper and aluminium sections of the same length in good thermal contact. The ends of the rod, which is well lagged, are maintained at 1 C and at C as shown in the diagram. The thermal conductivity of copper is twice that of a aluminium. Which one of the following graphs represents the variation of temperature T with distance x along the rod in the steady state? (A) (B) (C) 6. The amount of heat conducted out per second through a window, when inside temperature is 1 C and outside temperature is 1 C, is 1 J. Same heat will be conducted in through the window, when outside temperature is C and inside temperature is (A) C (B) K (C) 7 K 96 K 7 The top of a lake is frozen as the atmospheric temperature is of the lake is most likely to be. (A) 4C (B) C (C) 8. A body cools from 1 C 4C 5. C to 49.9 C in 5s. How long will it take to cool from. The temperature at the bottom 1 C 4. to 9.9 C? Assume the temperature of the surrounding to be. C and Newtons s law of cooling to be valid. (A).5 s (B) 1 s (C) s 5 s FIITJEE (Hyderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) Hyderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) Huda Park, Vijaynagar Colony, Kukatpally, Hyderabad Ph : FIITJEE Limited. Plot No. 9A, (Opp. Sashi Hospital), Gaddiannaram, Dilsukhnagar, Hyderabad, 56. Ph:

8 RT-I ( ND YEAR_CHAMP)-19-MPC-8 9. On investigation of light from three different stars A,B and C, it was found that in the spectrum of A the intensity of red colour is maximum, and in C the intensity of yellow colour is maximum. From these observations, it can be concluded that. (A) The temperature of A is maximum, the temperature of B is minimum and the temperature of C is intermediate (B) The temperature of A is maximum, the temperature of C is minimum and the temperature of B is intermediate (C) The temperature of B is maximum, the temperature of A is minimum and the temperature of C is intermediate The temperature of C is maximum, the temperature of B is minimum and the temperature of A is intermediate 4. Consider the two insulating sheets with thermal resistance R 1 and R as shown in figure. The temperature is 1 RR 1 1R1 R (A) (B) 1 R1 R R1 R 1 RR 1 1R R1 (C) R R R R The rectangular surface of area 8cm 4cm of black body at temperature 17 C emits energy E per second.if length and breadth are reduced to half of the initial value and the temperature is raised to 7 C, the rate of emission of energy becomes. (A) E 8 (B) 81 E 16 (C) 19 E E The intensity of radiation emitted by the Sun has its maximum value at a wavelength of 51 nm and that emitted by the North Star has the maximum value at 5 nm. If these Stars behave like black bodies, then the ratio of the surface temperature of the Sun and the North Star is (A) 1.46 (B).69 (C) The ratio of energy of radiation emitted by a black body at 7 C and 97 C is (A) 1:4 (B) 1:16 (C) 1:64 1:56 FIITJEE (Hyderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) Hyderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) Huda Park, Vijaynagar Colony, Kukatpally, Hyderabad Ph : FIITJEE Limited. Plot No. 9A, (Opp. Sashi Hospital), Gaddiannaram, Dilsukhnagar, Hyderabad, 56. Ph:

9 RT-I ( ND YEAR_CHAMP)-19-MPC A cylinder of radius R made of material of thermal conductivity K 1 is surrounded by a cylindrical shell of inner radius R and outer radius R made of a material of thermal conductivity K. The two ends of the combined system are maintained at two different temperature. What is the effective thermal conductivity of the system? K1 8K KK 1 8K1 K (A) K1 K (B) (C) 9 K K A thin spherical shell and a thin cylindrical shell (closed at both ends) have same volume. Both the shells are filled with water at the same temperature and are exposed to the same atmosphere. Initial temperature of water is slightly than that of surrounding. Then at initial moment. (A) Rate of heat radiation from two shells will be same (B) Rate of fall of temperature in both the shells will be same (C) Rate of heat radiation and rate of fall of temperature, both, in cylindrical shell are less than those in spherical shell None of these The gross radiation emitted by a perfectly black body is not (A) Dependent on its temperature (B) Dependent on the area of its surface (C) Dependent on the temperature of the surroundings Independent of the temperature of the surroundings 47. Newton s law of cooling is a special case of (A) Wien s displacement law (B) Kirchhoff s law (C) Stefan s law Planck s law 48. One end of a metal rod is dipped in boiling water and the other is dipped in melting ice (A) All parts of the rod are in thermal equilibrium with each other (B) We can assign a temperature to the rod (C) We can assign a temperature to the rod after steady state is reached The state of the rod does not change after steady state is reached. 49. A black coloured solid sphere of radius R and mass M is inside a cavity with vacuum inside. The walls of the cavity are maintained at temperature T. The initial temperature of sphere is T.The initial temperature of sphere is T.If the specific heat of the material of the sphere varies as T with the temperature T of the sphere, where is a constant,then time taken for the sphere to cool down to temperature T will be ( is Stefan Boltzmann constant) M (A) In M 16 4 R (B) In 4 R M 16 (C) In M 16 R In 16 R FIITJEE (Hyderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) Hyderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) Huda Park, Vijaynagar Colony, Kukatpally, Hyderabad Ph : FIITJEE Limited. Plot No. 9A, (Opp. Sashi Hospital), Gaddiannaram, Dilsukhnagar, Hyderabad, 56. Ph:

10 RT-I ( ND YEAR_CHAMP)-19-MPC-1 5. If a piece of metal is heated to temperature and then allowed to cool in a room which is at temperature the graph between the temperature T of the metal and time t will be closest to. (A) (B) (C) 51. The figure shows a system of two concentric spheres of radii r 1 and r and kept at temperatures T1 and T respectively. The radial rate of flow of heat in a substance between the two concentric sphere is proportional to r r r (A) 1 (B) In rr 1 r 1 rr 1 (C) Inr r1 r r 1 5. A black body is at a temperature of 88 K. The energy of radiation emitted by this object with wavelength between 499 nm and 5 nm is u, 1 between 999 nm and 1 nm is u and between nm and 15 nm is u. The Wien constant is b.88 1 nm k. Which of the following is correct (A) u1 (B) u (C) u1 u u u1 5. The top of insulated cylindrical container is covered by a disc having emissivity.6 and thickness 1 cm. The temperature is maintained by circulating oil as shown in figure. If temperature of upper surface of disc is 17 C and temperature of surrounding is 7 C, then the radiation lost to the surroundings will be Take 1 W /m K (A) 595 J/m x sec (B) 595 cal/m x sec (C) 991. J/m x sec 44 J/m x sec FIITJEE (Hyderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) Hyderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) Huda Park, Vijaynagar Colony, Kukatpally, Hyderabad Ph : FIITJEE Limited. Plot No. 9A, (Opp. Sashi Hospital), Gaddiannaram, Dilsukhnagar, Hyderabad, 56. Ph:

11 RT-I ( ND YEAR_CHAMP)-19-MPC A body cools in a surrounding which is at a constant temperature of. Assume that it obeys Newton s law of cooling. Its temperature is plotted against time t. Tangents are drawn to the curve at the points P and Q 1. These tangents meet the time axis at angles of and 1, as shown tan 1 (A) tan 1 tan (B) tan 1 1 tan1 1 (C) tan tan 1 tan Liquid is filled in a vessel which is kept in a room with temperature C. When the temperature of the liquid is 8 C, then it loses heat at the rate of 6 cal / sec. What will be the rate of loss of heat when the temperature of the liquid is 4 C? (A) 18 cal/sec (B) 4 cal /sec (C) cal/sec cal/sec 56. A rod of length and cross section area A has a variable conductivity given by K T,where is a positive constant and T is temperature in Kelvin. Two end of the rod are maintained at temperature T 1 and T T1 T. Heat current flowing through the rod will be (A) A T T 1 (B) A T T 1 (C) A T T 57. The earth receives on its surface radiation from the sun at the rate of 1 A T T 1 14W /m. The distance of the 11 8 centre of the sun from the surface of the earth is m and the radius of the sun is 7. 1 m. Treating sun as a black body, it follows from the above data that its surface temperature is 6 (A) 581 K (B) 1 K (C) 5.1 K 581 C FIITJEE (Hyderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) Hyderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) Huda Park, Vijaynagar Colony, Kukatpally, Hyderabad Ph : FIITJEE Limited. Plot No. 9A, (Opp. Sashi Hospital), Gaddiannaram, Dilsukhnagar, Hyderabad, 56. Ph:

12 RT-I ( ND YEAR_CHAMP)-19-MPC A planet radiates heat at a rate proportional to the fourth power of its surface temperature T. If such a steady temperature of the planet is due to an exactly equal amount of heat received from the sun then which of the following statements is true? (A) The planet s surface temperature varies inversely as the distance of the sun (B) The planet s surface temperature varies directly as the square of its distance from the sun (C) The planet s surface temperature varies inversely as the square root of its distance from the sun. The planet s surface temperature is proportional to the fourth power of distance from the sun. 59. A body cools in a surrounding of constant temperature temperature of the body is in 1 min In further 1 min it will cool from (A) 6 C (B) C. Its heat capacity is J/ C. Initial 4 C. Assume Newton s law of cooling is valid. The body cools to 8 C to 6.4 C (C) 6. The graph, shown in the diagram, represents the variation of temperature (T) of two bodies. X any y, having same surface area, with time (t) due to the emission of radiation. Find the correct relation between the emissivity and absorptivity power of two bodies. E E and a a (A) x y x y (B) Ex Ey and ax ay (C) Ex Ey and ax ay Ex Ey and ax ay 7 C 7.5 C 8 C 61. Consider the ground state of Cr atom (Z = 4). The numbers of electrons with the azimuthal quantum numbers, l = 1 and are respectively (A) 1 and 4 (B) 1 and 5 (C) 16 and 4 16 and 5 6. In ground state, an element has 1 electrons in its M shell. The element is (A) copper (B) Iron (C) Nickel chromium FIITJEE (Hyderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) Hyderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) Huda Park, Vijaynagar Colony, Kukatpally, Hyderabad Ph : FIITJEE Limited. Plot No. 9A, (Opp. Sashi Hospital), Gaddiannaram, Dilsukhnagar, Hyderabad, 56. Ph:

13 RT-I ( ND YEAR_CHAMP)-19-MPC-1 6. Electromagnetic radiation with maximum wavelength is (A) radiowave (B) X ray (C) infrared ultraviolet 64. The maximum number of d electrons having S = + ½ are (A) 1 (B) 5 (C) In hydrogen atom, energy of first exicited state is.4 ev. The kinetic energy of the same orbit of Hydrogen atom would be (A) +.4 ev (B) +6.8 ev (C) 1.6 ev +1.6 ev 66. The ionization energy of Hydrogen atom is 1.6 ev. What will be the ionization energy of He +? (A) 1.6 ev (B) 54.4 ev (C) 1.4 ev zero 67. What is ratio of time periods (T 1 /T ) is second orbit of hydrogen atom to third orbit of He + ion? (A) 8/7 (B) /7 (C) 7/ 7/8 68. The photo electric current decreases if (A) The frequencies of incident radiation decreases below threshold frequency (B) The exposure time is decreased (C) The intensity of the source of light is decreased none of these 69. Which of the following bond is strongest? (A) sp sp (B) sp sp (C) s s p p 7. The type of hybridization of sulphur atom present in SO and SO is respectively : (A) sp, sp (B) sp, sp (C) sp, sp sp, sp 71. Which one of the following has pyramidal structure? (A) NH (B) SiF 4 (C) H O BF 7. Which statement is incorrect? (a) sigma bond is stronger than bond (b) sigma bond is weaker than bond (c) A triple bond is weaker than double bond (d) A double bond is weaker than single bond (A) a, c, d (B) b, c, d (C) Only b c, d 7. In which of the following molecules the bond angle is maximum? (A) CH 4 (B) H O (C) NH CO FIITJEE (Hyderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) Hyderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) Huda Park, Vijaynagar Colony, Kukatpally, Hyderabad Ph : FIITJEE Limited. Plot No. 9A, (Opp. Sashi Hospital), Gaddiannaram, Dilsukhnagar, Hyderabad, 56. Ph:

14 RT-I ( ND YEAR_CHAMP)-19-MPC The hybridization of carbon atoms in C C single bond of HCC CH=CH is : (A) sp sp (B) sp sp (C) sp sp sp sp 75. BCl is a planar molecule whereas NCl is pyramidal because : (A) nitrogen atom is smaller than boron atom (B) BCl has no lone pair of electrons whereas NCl has a lone pair of electrons (C) N Cl bond is more covalent than B Cl bond B Cl bond is more polar than N Cl bond 76. IE, and IE of Mg are 178 and 48 K cal mol 1 respectively. The energy required for the reaction Mg g g is (A) 17 K. cal (B) 56 K.cal (C) K.cal 48 K. cal 77. An element x present in rd period has configuration ns np 1. The formula and nature of its oxide is (A) XO, basic (B) XO, acidic (C) X O, amphoteric X O, acidic 78. O is isoelectronic with (A) H (B) N (C) F S 79. Pauling s equation for determining the electronegativity of an element is (A) X A X B =.8 (B) XA XB.8 (C) A B XA XB X X.8 8. In a given shell the order of screening effect is (A) s > p > d > f (B) s > p > f > d (C) f > d > p > s p > s > d > f 81. The first ionization potential in electron volts of nitrogen and oxygen atom are respectively given by (A) 14.6, 1.6 (B) 1.6, 14.6 (C) 1.6, , The I.P values of Li, Be and C are 5.4 ev/ atom, 9. ev/atom and 11.6 ev/atom. The I.P value of Boron is (A) 1.6 ev/atom (B) 8.9 ev/atom (C) 14.5 ev/atom 1.5 ev/atom 8. Suppose 1 17 J of energy is needed by interior of human eye to see an object. How many photons of green light ( = 55 nm) are needed to generate this minimum amount of energy? (A) 14 (B) 8 (C) 9 4 FIITJEE (Hyderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) Hyderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) Huda Park, Vijaynagar Colony, Kukatpally, Hyderabad Ph : FIITJEE Limited. Plot No. 9A, (Opp. Sashi Hospital), Gaddiannaram, Dilsukhnagar, Hyderabad, 56. Ph:

15 RT-I ( ND YEAR_CHAMP)-19-MPC The number of d electrons in Fe + is not equal to that of the (A) p electrons in Ne (B) s electrons in Mg (C) d electrons in Fe p electrons in Cl 85. When light of frequency. x 1 16 Hz is used to irradiate a metal surface the maximum kinetic energy of the emitted photoelectron is 4 the metal would be (A).4 x 1 5 Hz (C) 1.6 x 1 15 Hz of the energy of irradiating photon then the threshold frequency of (B).4 x 1 16 Hz 8 x 1 15 Hz 86. We can say that the energy of a photon of frequency v is given by E = hv where h is Planck s h constant. The momentum of photon is p where is the wavelength of photon. Then we may conclude that velocity of light is equal to E (A) p 1 (B) E p (C) E p E p 87. If there are six energy level in H atom then the number of lines of its emission spectrum in ultraviolet region will be (A) 6 (B) 5 (C) If the shortest wavelength of H atom in Lyman series is X. Then longest wavelength in Balmer series for He + is (A) 9x 5 (B) 6x 5 (C) x 4 5x The wavelength of the electromagnetic radiation K line emitted by a hydrogen atom like ion is. A. Find the wavelength of K line emitted by the same element (A). A (B).7 A (C).1 A.1 A 9. Of the following transition in hydrogen atom the one which gives an absorption line of lowest frequency is (A) n = 1 to n = (B) n = to n = 8 (C) n = to n = 1 n = 8 to n = FIITJEE (Hyderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) Hyderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) Huda Park, Vijaynagar Colony, Kukatpally, Hyderabad Ph : FIITJEE Limited. Plot No. 9A, (Opp. Sashi Hospital), Gaddiannaram, Dilsukhnagar, Hyderabad, 56. Ph:

16 RT-I ( ND YEAR_CHAMP)-19-MPC-16 FIITJEE RT I (CHAMPIONS_ ND YEAR) MAINS_ANSWERS DATE: MATHEMATICS PHYSICS CHEMISTRY 1. C. A. A 4. B 5. A 6. A 7. C 8. B 9. B 1. C 11. A 1. A 1. D 14. B or C 15. C 16. C 17. B 18. C 19. A. D 1. B. A. B 4. B 5. D 6. C 7. A 8. A 9. C. A 1. A or C. C. B 4. B 5. D 6. C 7. A 8. B 9. C (Bonus) 4. D 41. D 4. B 4. D 44. B 45. D 46. C 47. C 48. D 49. C 5. B 51. C 5. D 5. A 54. B 55. D 56. D 57. A 58. C 59. B 6. C 61. B 6. D 6. A 64. B 65. A 66. B 67. B 68. C 69. A 7. B 71. A 7. B 7. D 74. C 75. B 76. B 77. C 78. C 79. A 8. A 81. A 8. B 8. B 84. D 85. D 86. B 87. B 88. A 89. B 9. B FIITJEE (Hyderabad Classes) Limited /B, Saifabad, (Opp. Secretariat) Hyderabad Ph: Fax: FIITJEE Limited. 97, Plot No.1, (Opp. Patel Kunta) Huda Park, Vijaynagar Colony, Kukatpally, Hyderabad Ph : FIITJEE Limited. Plot No. 9A, (Opp. Sashi Hospital), Gaddiannaram, Dilsukhnagar, Hyderabad, 56. Ph: