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Narayana Phase-I JEE-Main GTM-7 Final Q'Paper

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Narayana Phase-I JEE-Main GTM-7 Final Q'Paper
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  NARAYANA IIT ACADEMY INDIA   Sec: Sr.IIT – ALL STREAMS PHASE-I Date: 13-02-14 GRAND TEST -7 Max Marks: 432   JEE-MAIN_2010 MODEL    IMPORTANT INSTRUCTIONS: 1. The question paper consists of 90 questions. The maximum marks are 432 2. There are three parts in the question paper. The distribution of marks subject wise in each part is as under for each correct response. 3. Part-A:  Physics (144 marks) question no 1 to 2 and 9 to 30 consists of Four (4) Marks each and question No. 3 and 8. consist of Eight (8) marks each for each correct response. Part-B:  Mathematics (144 marks) question no 31 to 39 and 46 to 60 consists of Four(4) Marks each and question No. 40 to 45. consist of Eight (8) marks each for each correct response. Part-C:  Chemistry (144 marks) question no 61 to 82 and 89 to 90 consists of Four (4) Marks each and question No. 83 to 88. consist of Eight (8) marks each for each correct response. 4. Candidates will be awarded marks as stated above in instruction No. 5 for correct response of each question. 1/4 (one forth) marks will be deducted for indicating incorrect response of each question. No deduction from the total score will be made if no responce is indicated for an item in the answer sheet. 13-02-14_SR.IIT-ALL STREAMS_JEE-MAIN_GTM-7_PAPER SETTERS& VERIFIERS   Subject Paper Setters (VIJ-CVRB3) Paper Verifiers (VSP-Vedavyas) MATH Mr. KS-9440506070 Mr. PARDHASARADHI-9848582705 PHYSICS Mr. NAGANJANEYULU-9347009197 MR. GOVARDHAN PRASAD-9491126596 CHEMISTRY Mr. LOKESH GUPTA-9293113099 Mr. RAMESH BABU-9505599336 Mr. GOPAL KRISHNA(Phy)-9912403030   Narayana IIT Academy 13-02-14_Sr.IIT-ALL STREAMS_Phase-I_JEE-Main_ GTM-7 Sr.IIT – ALL STREAMS_JEE-MAIN    Space for rough work    Page 2   PHYSICS 1. The rate of decay of a radioactive element at t=0 instant 3 10  disintegrations per second. If the half life of the elements is 1 s, then the rate of decay after 1 s will be 1) 500 disintegrations per s 2) 1000 disintegrations per s 3) 250 disintegrations per s 4) 2000 disintegrations per s 2. A force F=t is applied to a block A as shown in figure, where t is time in seconds. The force is applied at t=0 seconds when the system was at rest. Which of the following graph correctly gives the frictional force between A and horizontal surface as a function of time t [Assume that at t=0, tension in the string connecting the two blocks is zero] 1) 2) 3) 4)   Narayana IIT Academy 13-02-14_Sr.IIT-ALL STREAMS_Phase-I_JEE-Main_ GTM-7 Sr.IIT – ALL STREAMS_JEE-MAIN    Space for rough work    Page 3   3. A cylinder rests in a supporting carriage as shown. The side AB of carriage makes an angle 0 30  with the horizontal and side BC is vertical. The carriage lies on a fixed horizontal surface and is being pulled towards left with an horizontal acceleration ‘a’. The magnitude of normal reactions exerted by sides AB and BC of carriage on the cylinder be  AB  N   and  BC   N   respectively. Neglect friction everywhere. Then as the magnitude of acceleration ‘a’ of the carriage is increased, pick up the correct statement; B  1)  AB  N   increases and  BC   N   decreases 2) Both  AB  N   and  BC   N   increase 3)  AB  N   remains constant and  BC   N   increases 4)  AB  N   increases and  BC   N   remains constant   Narayana IIT Academy 13-02-14_Sr.IIT-ALL STREAMS_Phase-I_JEE-Main_ GTM-7 Sr.IIT – ALL STREAMS_JEE-MAIN    Space for rough work    Page 4   4. The P-V diagram of the Isothermal curve as shown in fig. one mole of an ideal gas is taken from the same initial state A to different paths ,,  A B A C A D    , the quantities of heat supplied  A B   is 1 , Q  A C    is 2 , Q  and  A D   is 3 Q  then the correct realation between 12 , Q Q  and 3 Q  is (B, C, D points are on the isothermal curve)  D C   B A   p  r  e  s  s  u  r  e  o   f  g  a  s   P volume of gas V  1) 123 Q Q Q    2) 2123 , Q Q Q Q    3) 321 Q Q Q    4) 132 Q Q Q    5. In the figure shown the potential energy U of a particle due to another particle conservative interaction is plotted against its position ‘x’ from srcin. [Assume that two particles taken as a system] Then which of the following statement is correct. 1) 1  x  is in stable equilibrium 2) 2  x  is in stable equilibrium 3) 3  x  is in stable equilibrium 4) 2  x  is in unstable equilibrium 6. A spherical surface of radius of curvature R separates air (refractive index 1.0) from glass (refractive index 1.5) the center of curvature is in the glass. A point object P  placed in air is found to have a real image Q in the glass. The line PQ cuts the surface at a point O and PO = OQ. The distance PO is equal to [Assume PQ line coincidence with the principal axis] 1) 5R 2) 3R 3) 2R 4) 1.5R
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