FIITJEE INTERNAL TEST

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1 FIITJEE INTERNAL TEST SECOND YEAR & ONE YEAR EXTENDED Chemistry: Complete syllabus JEE MAINS FULL TEST V (HOME TEST) MARCH 06 Physics: Complete syllabus Maths: Complete syllabus Time: hours Maximum Marks: 60 INSTRUCTIONS:. This Test Booklet consists of 90 questions. Instructions to the Candidates Use Blue/Black ball Point Pen only for writing particulars. Use Pencil for all responses in OMR sheet.. For each correct answer 4 Marks will awarded and for each wrong answer Mark will be deducted.. Attempt all questions. 4. In case you have not darkened any bubble you will be awarded 0 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 KUKATPALLY CENTRE: # -97, Plot No., Opp. Patel Kunta Huda Park, Vijaynagar Colony, Hyderabad Ph.:

2 CHEMISTRY. The electron gain enthalpies of B, C, N and O with negative sign are in the order (A) B<C<N<O (B) B<C<O>N (C) B<C>O>N (D) B>C<O<N. NH Ac O A Br CH COOH B H O H C CH Product (C) would be NH COCH NH NHCOCH COCH Br Br Br CH CH CH CH (A) (B) (C) (D). An electron has a velocity of 50 m s accurate up to 99.99%. The uncertainty in locating its position is (A) m (B) m (C).5 0 m (D) m 4. In which of the following pairs of molecules/ions both the species are paramagnetic? (A) C, N (B) O, F (C) NO, CN 5. A compound with empirical formula CH O has a vapour density of 0. Its molecular formula is (A) C H O (B) C H 4 O (C) C H 6 O (D) C 6 H O 6 6. If we add dilute aqueous solution of KI drop wise to AgNO aqueous solution, the Agl colloid formed will have (A) negative charge (B) positive charge (C) neutral (D) nothing can be predicted (D) N, NO 7. Which of the following compounds is not correctly named? H C CH CH O, -Epoxypropane NH CH CH CH NH Propane-, diamine CH NH, 4'-bis(N-Methylamino)biphenyl NHCH N(CH ) N-Phenyldimethylamine (A) (B) (C) (D) 8. For H PO and H PO 4, the correct choice is (A) H PO is dibasic and reducing (C) H PO 4 is tribasic and reducing (B) H PO 4 is dibasic and non-reducing (D) H PO is tribasic and non-reducing 9. X, Y and Z are three elements forming a part of compound in oxidation states of +, +5, and respectively. What could be the compound? (A) X (YZ) (B) X (YZ) 5 (C) X (YZ 4 ) (D) X(YZ) FIITJEE KUKATPALLY CENTRE: # -97, Plot No., Opp. Patel Kunta Huda Park, Vijaynagar Colony, Hyderabad Ph.:

3 0. Which one of the following reacts fastest with Na metal? Cl C 6 H 5 CH OH CH F C CH OH OH CH OH O (A) (B) (C) (D). The vapour pressures of ethanol and methanol are 4.0 mm Hg and 88.5 mm Hg respectively. An ideal solution is formed at the same temperature by mixing 46.0 g of ethanol with 6.0 g of methanol. The mole fraction of methanol in the vapour phase is (A) 0.4 (B) 0.66 (C) 0.5 (D) The mass of molecule A is twice the mass of molecule B. The rms speed of A is twice the rms speed of B. If two samples of A and B contain same number of molecules, the ratio of pressures of two samples A and B in separate containers of equal volume is (A) 8 (B) 4 (C) 6 (D). The acid containing S O O S bond is (A) H SO 5 (B) H S O 7 (C) H S O 6 (D) H S O 8 4. An organic compound X having molecular formula C H N on reduction gave another compound Y. Upon treatment with nitrous acid, Y gave ethyl alcohol. On warming with chloroform and alcoholic KOH, Y formed an offensive smelling compound z. The compound Z is (A) CH CH NH (B) CH CH N C (C) CH C N (D) CH CH OH 5. E values for Ti + /Ti, V + /V, Mn + /Mn +, V + /V + and Co + /Co + are.6 V,.8 V, +.57 V, 0.6 V and +.97 V respectively. Identify the incorrect statement. (A) Ti + and V + are strongest reducing agents and liberate hydrogen gas from dilute acids (B) Mn + and Co + are strongest oxidising agents in aqueous solution (C) Mn + is very stable due to the stable d 5 configuration (D) V + is less stable than V + 6. When vapours of an alcohol are passed over hot reduced copper, it gives an alkene. The alcohol is (A) primary (B) secondary (C) tertiary (D) none of these 7. Identify the wrong statement among the following. (A) Acid rain is mostly because of oxides of nitrogen and sulphur (B) Chlorofluorocarbons are responsible for ozone layer depletion. (C) Greenhouse effect is responsible for global warming. (D) Ozone layer does not permit infrared radiations from the sun to reach the earth. N 8..9 g/l of a sample of ferrous ammonium sulphate reacts completely with 50 ml of KMnO 4 solution. 0 The percentage purity of the sample is (A) 50.0 (B) 78.4 (C) 80.0 (D) The geometry of [Ni(CO) 4 ] and [Ni(PPh ) Cl ] are (A) both square planar (B) tetrahedral and square planar respectively (C) both tetrahedral (D) square planar and tetrahedral respectively. 0. If the solubility of lithium sodium hexafluore aluminate, Li Na (AlF 6 ) is S mol/l, its solubility product is (A) S (B) S (C) 8 S (D) 96 S 8 FIITJEE KUKATPALLY CENTRE: # -97, Plot No., Opp. Patel Kunta Huda Park, Vijaynagar Colony, Hyderabad Ph.:

4 . Consider a reaction: ap + bq Products. When concentration of P is doubled keeping the concentration of Q fixed the rate increases times. When concentration of Q is doubled, keeping the concentration of P fixed, the rate increases 4 times. The overall order of the reaction is (A) (B) (C) (D).5. The ionization energy of lithium is 50 kj mol. The amount of energy required to convert 0 mg of lithium atoms in gaseous state into Li + ions is (A) 50 kj (B) 5.60 kj (C).47 kj (D) 7. kj. Which of the following is most stable? (A) Ph C (B) Ph C H (C) Ph C H (D) (CH ) C 4. Consider the following structures: (I) CH = C H (II) CH C H (III) CH = CH C H (IV) C 6 H 5 C H C 6 H 5 (A) IV, III, II, I (B) I, II, III, IV (C) IV, II, III, I (D) I, III, II, IV 5. In PO 4, the formal charge on each oxygen atom and the P O bond order respectively are (A) 0.75, (B),.0 (C) 0.75,.5 (D),.5 6. Which of the following alkyl halides is hydrolysed by S N mechanism? (A) C 6 H 5 CH Br (B) CH Br (C) CH = CHCH Br (D) (CH ) CBr 7. The atomic numbers of vanadium (V), chromium (Cr), manganese (Mn) and iron (Fe) are, 4, 5 and 6 respectively. Which one of the these may be expected to have the highest second ionisation enthalpy? (A) V (B) Cr (C) Mn (D) Fe 8. A molecule contains atoms P and Q so that P occurs at the corners of the cube while Q at the face centre. The formula of the molecule can be (A) PQ (B) P Q (C) PQ (D) P Q 9. If an endothermic reaction is non-spontaneous at freezing point of water and becomes feasible at its boiling point, then (A) H is ve, S is +ve (B) H and S both are +ve (C) H and S both are ve (D) H is +ve, S is ve. 0. The correct order of decreasing acid strengths of different groups in the given amino acid is H N + Z COOH X N + H Y (A) X>Z>Y (B) Z>X>Y (C) X>Y>Z (D) Y>X>Z PHYSICS. Three charges Q 0, q and q are placed at the vertices of an isosceles right angled triangle as in the figure. The net electrostatic potential energy is zero if Q 0 is equal to (A) q q (B) (C) q (D) +q 4 q Q 0 q FIITJEE KUKATPALLY CENTRE: # -97, Plot No., Opp. Patel Kunta Huda Park, Vijaynagar Colony, Hyderabad Ph.:

5 . Compute the equivalent resistance of the net work shown in figure and find the current I drawn from the battery. (A) A (B) A (C) 4A (D) 6A I 4 6 8V. In a certain place, the horizontal component of magnetic field is angle of dip at this place is (A) (B) (C) 4 times the vertical component. The (D) 5 4. An alternating voltage e = 00 sin 00 t is applied to a series combination of R = 0 and an inductor of 400 mh. The power factor of the circuit is (A) 0.0 (B) 0. (C) 0.05 (D) The flux linked with a circuit is given by = t + t 7. The graph between time (x axis) and induced emf (y axis) will be a (A) straight line through the origin (B) straight line with positive intercept (C) straight line with negative intercept (D) parabola not through the origin 6. A ray of light is incident normally on one face of an equilateral prism of refractive index.5. The angle of deviation is (A) 0 o (B) 45 o (C) 60 o (D) 75 o 7. In Young s experiment, the third bright band for light of wavelength 6000 Å coincides with the fourth bright band for another source of light in the same arrangement. Then the wavelength of second source is (A) 600 Å (B) 4000 Å (C) 5000 Å (D) 4500 Å 8. The radius of curvature of the convex face of a plano convex lens is 5 cm and the refractive index of the material is.4. Then the power of the lens in dioptre is (A).6 (B).66 (C) (D) For a nucleus to be stable the correct relation between neutron number N and proton number Z is (A) N > Z (B) N = Z (C) N < Z (D) N Z 40. Which one of the following statements is true, if half life of a radioactive substance is month? (A) 7 th part of the substance will disintegrate in months 8 (B) th part of the substance will remain undecayed at the end of 4 months 8 (C) the substance will disintegrate completely in 4 months (D) th part of the substance will remain undecayed at the end of months 6 4. The current I through 5 resistor in circuit given below is (A) A (B) 4 A (C) 6 A (D) A 5 D D The resonance frequency of the tank circuit of an oscillator when L mh 5 V and C = 0.04 F are connected in parallel is (A) 50 khz (B) 5 khz (C).5 khz (D) 5 MHz FIITJEE KUKATPALLY CENTRE: # -97, Plot No., Opp. Patel Kunta Huda Park, Vijaynagar Colony, Hyderabad Ph.:

6 4. A uniform electric field of magnitude E = 00 kv/m is directed upward Perpendicular to E and directed into the page there exists uniform magnetic field of magnitude B = 0.5T. A beam of particles of charge + q enters this region. The chosen speed of the particles for which the particles will not be deflected by the crossed electric and magnetic field. (A) x 0 5 m/s (B) 4 x 0 5 m/s (C) 5 x 0 5 m/s (D) 8 x 0 5 m/s 44. If C is the capacitance and V is the potential, the dimensional formula for CV is (A) ML T (B) ML T (C) ML T (D) ML T 45. An object is dropped from rest. Its v t graph is v v v v t t t t (A) (B) (C) (D) 46. At what angle to the horizontal, should a ball be projected so that the horizontal range is equal to the maximum height? (A) = cot (/4) (B) = cos (4) (C) = sin () (D) = cos (9) 47. Find the angle between the vectors P 6iˆ ˆj kˆ and Q iˆ ˆj kˆ. (A) cos 5 (B) sin 5 (C) tan 5 (D) None of these 48. A particle of mass kg is initially at rest. A force acts on it whose magnitude changes with time. The force time graph is shown below. The velocity of the particle after 0 s is (A) 0 ms (B) 0 ms (C) 40 ms (D) 5 ms F(N) t(s) 49. A particle is moving under the influence of a force given by F = kx where k is a constant and x is the distance moved. The energy (in joules) gained by the particle in moving from x = 0 to x = is (A).5 k (B).5 k (C) 4.5 k (D) 9 k 50. A thin circular ring of mass M and radius R rotates about an axis through its centre and perpendicular to its plane, with a constant angular velocity. Four small spheres each of mass m (negligible radius) are kept gently to the opposite ends of two mutually perpendicular diameters of the ring. The new angular velocity of the ring will be M 4m (A) (B) M M 4m (C) M M (D) M 4m M 4m 5. The angular velocity of a wheel increases from 00 rps to 00 rps in 0 seconds. The number of revolutions made during that time is (A) 500 (B) 000 (C) 500 (D) Three identical bodies of mass M are located at the vertices of an equilateral triangle of side L. They revolve under the effect of mutual gravitational force in a circular orbit, circumscribing the triangle while preserving the equilateral triangle. Their orbital velocity is (A) GM L (B) GM L (C) 5. A uniform rod of length is placed with one end in contact with the horizontal table and is then inclined at an angle to the horizontal and allowed to fall. When it becomes horizontal, its angular velocity will be (A) = (C) = g sin g sin (B) = (D) = GM L g sin g sin (D) GM L FIITJEE KUKATPALLY CENTRE: # -97, Plot No., Opp. Patel Kunta Huda Park, Vijaynagar Colony, Hyderabad Ph.:

7 54. The excess pressure inside one soap bubble is three times that inside a second soap bubble, then the ratio of their surface areas is (A) : 9 (B) : (C) : (D) 9 : 55. The area of cross section of one limb of an U tube is twice that of the other. Both the limbs contain mercury at the same level. Water is poured in the wider tube so that mercury level in it goes down by cm. The height of water column is (density of water = 0 kg m, density of mercury =.6 x 0 kg m ) (A).6 cm (B) 40.8 cm (C) 7. cm (D) 54.5 cm 56. The plots of intensity of radiation versus wavelength of three black bodies at temperatures T, T and T are shown. Then, (A) T > T > T (B) T > T > T (C) T > T > T (D) T > T > T I T T T 57. Three rods made of same material and having same cross sections have been joined as shown in the figure. Each rod is of same length. The temperature at the junction of the three rods is (A) 45 o (B) 60 o (C) 90 o (D) 80 o 0 o C 90 o C 90 o C (A) 0.4 J of work is done by the gas from A to B 58. The P V diagram of a gas undergoing a cycle process P (ABCDA) is shown in the graph where P is in units of N/m x0 5 and V in cm. Identify the incorrect statement A B (B) 0. J of work is done on the gas from C to D (C) no work is done by the gas from B to C x0 5 D C (D) work is done by the gas in going from D to A V A non uniform electric field given by E xi ˆ 4j ˆ (N/C) pierces the Gaussian cube shown in figure. What is the electric flux through the right face (A) Nm /C (B) 6 Nm /C (C) 6 Nm /C (D) zero 60. The network shown in figure is a part of a circuit. What is the potential difference V B V A when current I is 5A and is decreasing at a rate of 0 A/s. (A) 0 V (B) 5 V (C) 5 V (D) 0 V A I 5V 5mH B MATHEMATICS 6. The image of the line x y z 4 in the plane x-y+z+=0 is the line 5 (A) x y 5 z (B) x y 5 z 5 5 (C) x y 5 z (D) x y 5 z If the coefficients of to 6. If 5 (A) 6, x and 4 x in the expansion 5 (B) 4, a b b c c a =, then is equal to abc x 8 ax bx 7 (C) 4, (A) (B) (C) (D)0 are both zero then (a,b) is equal 7 (D) 6, FIITJEE KUKATPALLY CENTRE: # -97, Plot No., Opp. Patel Kunta Huda Park, Vijaynagar Colony, Hyderabad Ph.:

8 64. The variance of first 50 even natural numbers is (A) The statement ~ (~p q) is (B) 8 (C)47 (D) 47 4 (A) a tautology (B) a fallacy (C) equivalent to p q (D) equivalent to p ~ q 66. If a is an x non singular matrix such that AA (A) +B (B) (C) T T A A and T B A.A, then B (D) B T T B.B equals 67. If 4 z then the greatest value of z is z (A) (B) (C) (D) If g is the inverse of a function f and (A) 5 x (B) 4 5x f '(x), then g (x) is equal to 5 x (C) g(x) 5 (D) g(x) Let, be the roots of equation (A) 6 9 (B) 7 9 px qx r 0, p 0 (C). If p,q,r are in A.P and =4, then = 4 9 (D) If the point of intersection of the lines 4ax+ay+c=0 and 5bx+by+d=0 lies in the fourth quadrant and is equidistant from the two axes, then (A) bc-ad=0 (B)bc+ad=0 (C)bc-ad=0 (D)bc+ad=0 7. Let PS be median of triangle with vertices p(,) Q(6,-) and R(7,). the equation of line passing through (,-) and parallel to to PS is (A) 4x-7y-=0 (B) 4x+7y+=0 (C)x+9y+7=0 (D)x-9y-=0 7. sin lim x0 (A) cos x x = (B) (C) (D) 7. The locus of the foot of the perpendicular drawn from the centre of the ellipse to it is (A) x y 6x y (B) (C) x y 6x y (D) x y 6x y x y 6x y x y 6 on any tangent 74. Three positive numbers from an increasing G.P. If the middle term in G.P. is doubled, the new numbers are in A.P. The common ratio of G.P. is (A) (B) (C) (D) FIITJEE KUKATPALLY CENTRE: # -97, Plot No., Opp. Patel Kunta Huda Park, Vijaynagar Colony, Hyderabad Ph.:

9 75. If k.0, then k is equal to (A) 0 (B) (C)00 (D)0 76. The slope of the line touching both y 4x and x y is (A) (B) (C) 8 (D) 77. The function f x is defined in, then the domain of f sin x a) 0, b), c), d) 78. tan sec tan sec cos (A) sin =.. (B) cos sin (C) sin cos (D) none of these. 79. The general solution of sin 00 x cos 00 x = (A) n +, n Z (B) n + 4, n Z (C) n +, n Z (D) n, n Z A b c 80. If cot, then the ABC is (A) isosceles (B) equilateral (C) right angled (D) none of these 8. If two circles (x ) + (y ) = r and x + y 8x + y + 8 = 0 intersect in two distinct points then (A) < r < 8 (B) r < (C) r = (D) r > x y 8. For hyperbola which of the following remains constant with change in '': cos sin (A) abscissa of vertices (B) abscissa of foci (C) eccentricity (D) directrix 8. The maximum number of points of intersection of 8 circles is. (A) 8 (B) 6 (C) 8 (D) The area enclosed in the region (A) ab ab (B) 4 ab 4 x y x y and a b a b is (C) ab 85. If A and B are any two sets, then A ( A B) is equal to (A) A (B) B (C) c A (D) none of these (D) c B 86. The equation of motion of a particle moving along a straight line is s and t are cm and sec. The acceleration of the particle will be zero after (A) sec (B) sec (C) sec t 9t t, where the units of s (D) Never cos 4x 87. If dx k cos 4x c then cos x tan x (A) k / (B) k / 8 (C) k / 4 (D) None of these FIITJEE KUKATPALLY CENTRE: # -97, Plot No., Opp. Patel Kunta Huda Park, Vijaynagar Colony, Hyderabad Ph.:

10 88. The solution of dy y e x, y(0) 0 dx, is (A) x y e ( x ) (B) x x y xe (C) y xe (D) y xe x 89. If x f ( x) x (A) lim f( x) 0 x, when 0 x, then, when x (B) lim f( x) x (C) f(x) is discontinuous at x (D) None of these 90. sin sin (A) (B) (C) (D) Wish You all the Best FIITJEE KUKATPALLY CENTRE: # -97, Plot No., Opp. Patel Kunta Huda Park, Vijaynagar Colony, Hyderabad Ph.:

11 FIITJEE INTERNAL TEST SECOND YEAR & ONE YEAR EXTENDED JEE MAINS (FULL TEST V) MARCH 06 CHEMISTRY. B. C. C 4. C 5. B 6. B 7. D 8. A 9. C 0. C. C. A. D 4. B 5. D 6. C 7. D 8. A 9. C 0. D. C. B. A 4. A 5. C 6. B 7. B 8. A 9. B 0. A PHYSICS. B. B. B 4. D 5. D 6. C 7. D 8. D 9. D 40. A 4. D 4. B 4. A 44. C 45. A 46. A 47. A 48. D 49. C 50. D 5. D 5. A 5. A 54. A 55. B 56. D 57. B 58. D 59. B 60. C MATHS 6. A 6. D 6. C 64. B 65. C 66. B 67. D 68. D 69. D 70. C 7. C 7. D 7. C 74. D 75. C 76. A 77. D 78. C 79. C 80. C 8. A 8. B 8. D 84. A 85. A 86. A 87. B 88. D 89. C 90. C FIITJEE KUKATPALLY CENTRE: # -97, Plot No., Opp. Patel Kunta Huda Park, Vijaynagar Colony, Hyderabad Ph.:

12 FIITJEE KUKATPALLY CENTRE: # -97, Plot No., Opp. Patel Kunta Huda Park, Vijaynagar Colony, Hyderabad Ph.:

13 FIITJEE KUKATPALLY CENTRE: # -97, Plot No., Opp. Patel Kunta Huda Park, Vijaynagar Colony, Hyderabad Ph.:

14 FIITJEE KUKATPALLY CENTRE: # -97, Plot No., Opp. Patel Kunta Huda Park, Vijaynagar Colony, Hyderabad Ph.:

15 . B. B. The 6 and resistances are in parallel. Their equivalent resistance is R 6 R P =. P Now, R p and 4 resistances are in series and their equivalent resistance is R s = R P +4 = +4 = 6. net emf 8 Current drawn from battery is I A R 6 s. B 4. D 5. D 6. C 7. D 8. D 9. D 9. For stability in case of lighter nuclei N Z and for heavier nuclei N Z. 40. A 4. D 4. B 4. A 4. The charged particle in the electric field experiences a force qe in the direction of the electric field. This force is directed upward. The purpose of the crossed electric and magnetic field is to cancel each other s effect, on the charged particle. Force qvb is downward. qe qvb V V / m, B 0. 5 V 0 5 m / s. 44. C 45. A 46. (A) R = H max u sin 4 sin g g sin cos cot 4 cot A FIITJEE KUKATPALLY CENTRE: # -97, Plot No., Opp. Patel Kunta Huda Park, Vijaynagar Colony, Hyderabad Ph.:

16 = 4 = 5. P 6 7 Q 47. P Q 6i ˆ ˆ j k ˆ i ˆ ˆ j k ˆ If is the angle between P and Q then P Q cos cos P Q 7x 48. D 49. C 50. D 5. D 5. A 5. A 5. loss in GPE = gain in rotational K.E. mgsin m gsin 54. A mg 55. B 56. D 57. B 58. D 59. B 59. Electric field at right face E i ˆ 4ˆj = E.A = (9 i + 4j). (4 i) = 6 Nm /C 60. C 60. Clearly, V di A IR E L VB dt (Conventional current inside a cell is taken from ve to +ve terminal) since I is given to be decreasing di/dt is negative so VB VA = V. FIITJEE KUKATPALLY CENTRE: # -97, Plot No., Opp. Patel Kunta Huda Park, Vijaynagar Colony, Hyderabad Ph.: