IIT-JEE 2010 - Career Point

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This section contains 8 questions (Questions 12 to 19). The answer to each of the questions is a SINGLE- DIGIT INTEGER, ranging from 0 to 9. The appropriate bubbles below the respective question numbe rs in the OMR have to be darkened. For example, if the correct answers to question numbers X, Y, Z and W (say) are 6, 0, 9 and 2, respectively, then the correct darkening of bubbles will look like the following : X Y Z W 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 12. The minimum speed in m/s with which a projectile must be thrown from origin at ground so that it is able to pass through a point P (30 m, 40 m) is : (g = 10 m/s 2 ) (Ans. in .............. × 10) 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 between the particles in process of their motion in meters is (g = 10 m/s 2 ). u = 2 m/s A 45° 9m v = 14 m/s B 22m 45° 17. Consider the circuit shown in figure. What is the current through the battery just after the switch is closed. 18V S 2mH 9Ω 9Ω 9Ω 2mH 18. A rectangular plate of mass 20 kg is suspended from points A and B as shown. If the pin B is suddenly removed then the angular acceleration in rad/sec 2 of the plate is : (g = 10 m/s 2 ). A B 13. In U 238 ore containing Uranium the ratio of U 234 to Pb 206 nuclei is 3. Assuming that all the lead present in the ore is final stable product of U 238 . Half life of U 238 to be 4.5 × 10 9 years and find the age of ore. (in 10 9 years) l =0.2m b =0.15m 14. Under standard conditions the gas density is 1.3 mg/cm 3 and the velocity of sound propagation in it is 330 m/s, then the number of degrees of freedom of gas is. 15. A single conservative force acts on a body of mass 1 kg that moves along the x-axis. The potential energy U(x) is given by U (x) = 20 + (x – 2) 2 , where x is in meters. At x = 5.0 m the particle has a kinetic energy of 20 J, then the maximum kinetic energy of body in J is. (Ans. in .............. × 10) 16. Two particles are simultaneously thrown from top of two towers with making angle 45º with horizontal. Their velocities are 2 m/s and 14 m/s. Horizontal and vertical separation between these particles are 22 m and 9 m respectively. Then the minimum separation 19. If the temperature of a gas is raised by 1 K from 27ºC. Find the percentage change in speed of sound. (Speed = 300 ms –1 ) (Ans. in .............. × 10 2 ) CHEMISTRY Questions 1 to 4 are multiple choice questions. Each question has four choices (A), (B), (C) and (D), out of which ONLY ONE is correct. 1. In the precipitation of sulphides of second group basic radicals. H 2 S is passed into acidified solution with dilute HCl. If the solution is not acidified, then which of the following is correct ? XtraEdge for IIT-JEE 58 DECEMBER 2009
(A) Only the sulphides of second group get precipitated (B) Only the sulphides of fourth group get precipitated (C) Neither of the sulphides of second and fourth groups get pricipitated (D) Sulphides of both the groups second and fourth get precipitated 2. The geometrical shapes of XeF + 2– 5 , XeF 6 and XeF 8 respectively are - (A) trigonal bipyramidal, octahedral and square planar (B) square based pyramidal, distorted octahedral and octahedral (C) planar pentagonal, octahedral and square anti prismatic (D) square based pyramidal, distorted octahedral and square anti prismatic 3. Regarding graphite the following informations are available : 3.35Å Top view 5. The difference between ortho and para hydrogen is/are - (A) they are electron spin isomer, where the spins of electrons are opposite (B) ortho hydrogen is more stable at lower temperature (C) they are nuclear spin isomer, where the spins of protons are same in para and different in ortho isomer (D) they are nuclear spin isomers, where the spins of protons are opposite in para but same in ortho isomer 6. NGP assistance support for S N 2 reaction will be seen in - (A) (C) OH Cl OH Θ COO (B) CH 3 –S–CH 2 –CH 2 –Cl (D) OH 7. When the compound called isoborneol is heated with 50% sulfuric acid the product of the reaction is/are ? HO Cl Isoborneol The density of graphite = 2.25 gm/cm 3 . What is C–C bond distance in graphite ? (A) 1.68Å (B) 1.545Å (C) 2.852 Å (D) 1.426Å (A) (C) (B) (D) 4. The molecular formula of a non-stoichiometric tin oxide containing Sn(II) and Sn (IV) ions is Sn 4.44 O 8 . Therefore, the molar ratio of Sn(II) to Sn(IV) is approximately - (A) 1 : 8 (B) 1 : 6 (C) 1 : 4 (D) 1 : 1 Questions 5 to 9 are multiple choice questions. Each question has four choices (A), (B), (C) and (D), out of which MULTIPLE (ONE OR MORE) is correct. 8. Regarding the radial probability distribution (4nr 2 R 2 nl) vs r plot which of the following is/are correct ? (A) The number of maxima is (n-l) (B) The number of nodal points is (n-l-1) (C) The radius at which the radial probability density reaches to maxima is 3s < 3p < 3d (D) The number of angular nodes is l XtraEdge for IIT-JEE 59 DECEMBER 2009
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