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IITJEE –Past papers,[object Object],PHYSICS - UNSOLVED PAPER - 2007,[object Object]
SECTION – I,[object Object],Straight Objective Type,[object Object],This section contains 9 multiple choice questions numbered 1 to 9. Each question has 4 choices (A), (B), (C) and (D), out of  which ONLY ONE is correct.,[object Object]
01,[object Object],Problem,[object Object],A spherical portion has been removed from a solid sphere having a charge distributed  uniformly in its volume as shown in the figure. The electric field inside the emptied  space is,[object Object],zero everywhere ,[object Object],non-zero and uniform,[object Object],non-uniform ,[object Object], zero only at its center,[object Object]
Problem,[object Object],02,[object Object],A magnetic field              exists in the region a < x < 2a and             , in the region 2a < x < 3a, where B0 is a positive constant. A  positive point charge moving with a velocity               , where v0 is a positive constant, enters the magnetic field at x = a. The trajectory of the charge in this region can be like,[object Object],a.,[object Object],b.,[object Object],c. ,[object Object],d.,[object Object]
Problem,[object Object],03,[object Object],A small object of uniform density rolls up a curved surface with an initial velocity v.  It reaches up to a maximum height of          with respect to the initial position. The  object is,[object Object],ring ,[object Object],solid sphere,[object Object],hollow sphere ,[object Object],disc,[object Object]
Problem,[object Object],04,[object Object],Electrons with de-Broglie wavelength λ fall on the target in an X-ray tube. The cut-off wavelength of the emitted X rays is,[object Object],a.,[object Object],b.,[object Object],c.,[object Object],d.,[object Object]
Problem,[object Object],05,[object Object],A student performs an experiment to determine the Young’s modulus of a wire, exactly 2 m long, by Searle’s method.  In a particular reading, the student measures the extension in the length of the wire to be 0.8 mm with an uncertainty of ±0.05 mm at a load of exactly 1.0 kg. The student also measures the diameter of the wire to be 0.4 mm with an  uncertainty of ±0.01 mm. Take g = 9.8 m/s2 (exact). The Young’s modulus obtained from the reading is,[object Object],(2 .0 ± 0.3) × 1011 N/m2 ,[object Object],(2 .0 ± 0.2) × 1011 N/m2,[object Object],(2 .0 ± 0.1) × 1011 N/m2 ,[object Object], (2 .0 ± 0.05) × 1011 N/m2,[object Object]
Problem,[object Object],06,[object Object],Positive and negative point charges of equal magnitude are kept       ,[object Object],Respectively. The work  done by the electric field when another positive point,[object Object],charge is moved from (−a, 0, 0) to (0, a, 0) is,[object Object], positive,[object Object],Negative,[object Object],Zero,[object Object],depends on the path connecting the initial and final positions,[object Object]
Problem,[object Object],07,[object Object],In the experiment to determine the speed of sound using a resonance column,,[object Object],prongs of the tuning fork are kept in a vertical plane,[object Object], prongs of the tuning fork are kept in a horizontal plane,[object Object], in one of the two resonances observed, the length of the resonating air column is close to the wavelength of sound   in air,[object Object], in one of the two resonances observed, the length of the resonating air column is close to half of the wavelength of sound in air,[object Object]
Problem,[object Object],08,[object Object],Water is filled up to a height h in a beaker of radius R as shown in the figure. The  density of water is ρ, the surface tension of water is T and the atmospheric pressure is  P0. Consider a vertical section ABCD of the water column through a diameter of the  beaker. The force on water on one side of this section by water on the other side of  this section has magnitude,[object Object],|2P0Rh + πR2ρgh − 2RT|,[object Object],|2P0Rh + R2ρgh − 2RT|,[object Object],|P0πR2 + R2ρgh − 2RT|,[object Object],|P0πR2 + R2ρgh + 2RT|,[object Object]
Problem,[object Object],09,[object Object],A particle moves in the X-Y plane under the influence of a force such that its linear momentum is,[object Object],where A and k are constants. The angle between the force and the momentum is,[object Object],0° ,[object Object], 30°,[object Object],45°,[object Object], 90°,[object Object]
SECTION – II,[object Object],Reason Type,[object Object],This section contains 4 questions numbered 10 to 13. Each question contains STATEMENT-1 (Assertion) and STATEMENT-2  (Reason). Each question has 4 choices (A), (B), (C) and (D) out of which ONLY ONE is correct.,[object Object]
Problem,[object Object],10,[object Object],STATEMENT-1,[object Object],A vertical iron rod has a coil of wire wound over it at the bottom end.   An alternating current flows in the coil. The rod goes through a conducting ring as shown in the figure. The ring can float at a certain  height above the coil.,[object Object],Because,[object Object],STATEMENT-2,[object Object],In the above situation, a current is induced in the ring which interacts with the horizontal component of the magnetic  field to produce an average force in the upward direction.,[object Object],Statement -1 is True, Statement-2 is True; Statement -2 is a correct explanation for Statement-1.,[object Object],b.   Statement -1 is True, Statement-2 is True; Statement -2 is NOT a correct explanation for Statement-1.                           ,[object Object],c.   Statement -1 is True, Statement-2 is False.,[object Object],d.   Statement -1 is False, Statement-2 is True.,[object Object]
Problem,[object Object],11,[object Object],STATEMENT-1,[object Object],If there is no external torque on a body about its center of mass, then the velocity of the center of mass remains  constant.,[object Object],because,[object Object],STATEMENT-2,[object Object],The linear momentum of an isolated system remains constant,[object Object],Statement -1 is True, Statement-2 is True; Statement -2 is a correct explanation for Statement-1.,[object Object],Statement -1 is True, Statement-2 is True; Statement -2 is NOT a correct explanation for Statement-1.,[object Object],Statement -1 is True, Statement-2 is False.,[object Object],Statement -1 is False, Statement-2 is True.,[object Object]
Problem,[object Object],12,[object Object],STATEMENT-1,[object Object],The total translational kinetic energy of all the molecules of a given mass of an ideal gas is 1.5 times the product of its  pressure and its volume.,[object Object],because,[object Object],STATEMENT-2,[object Object],The molecules of a gas collide with each other and the velocities of the molecules change due to the collision.,[object Object], Statement -1 is True, Statement-2 is True; Statement -2 is a correct explanation for Statement-1.,[object Object], Statement -1 is True, Statement-2 is True; Statement -2 is NOT a correct explanation for Statement-1.,[object Object], Statement -1 is True, Statement-2 is False.,[object Object], Statement -1 is False, Statement-2 is True.,[object Object]
Problem,[object Object],13,[object Object],STATEMENT-1,[object Object],A cloth covers a table. Some dishes are kept on it. The cloth can be pulled out without dislodging the dishes from the  table.,[object Object],because,[object Object],STATEMENT-2,[object Object],For every action there is an equal and opposite reaction.,[object Object],Statement -1 is True, Statement-2 is True; Statement -2 is a correct explanation for Statement-1.,[object Object],Statement -1 is True, Statement-2 is True; Statement -2 is NOT a correct explanation for Statement-1.,[object Object],Statement -1 is True, Statement-2 is False.,[object Object],Statement -1 is False, Statement-2 is True.,[object Object]
SECTION – III,[object Object],Linked Comprehension Type,[object Object],This section contains 2 paragraphs P14-16 and P17-19. Based upon each paragraph, 3 multiple choice questions have to be  answered. Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct.,[object Object]
Paragraph for Question Nos. 14 to 16,[object Object],The figure shows a surface XY separating two transparent media, medium - 1 and medium -2. The lines ab and cd represent wavefronts of a light     wave travelling in medium-1 and incident on XY. The lines ef and gh      represent wave fronts of the light wave in medium-2 after refraction.,[object Object]
Problem,[object Object],14,[object Object],Light travels as a,[object Object],parallel beam in each medium,[object Object], convergent beam in each medium,[object Object], divergent beam in each medium ,[object Object], divergent beam in one medium and convergent beam  in the other medium.,[object Object]
Problem,[object Object],15,[object Object],The phases of the light wave at c, d, e and f are φc, φd, φe and φf respectively. It is given that φc ≠ φf,[object Object],φc cannot be equal to φd,[object Object],φd can be equal to φe,[object Object], (φd − φf) is equal to (φc - φe) ,[object Object], (φd − φc) is not equal to (φf − φe),[object Object]
Problem,[object Object],16,[object Object],Speed of the light is,[object Object],the same in medium-1 and medium-2,[object Object], larger in medium-1 than in medium-2,[object Object],larger in medium-2 than in medium-1 ,[object Object],different at b and d,[object Object]
Paragraph for Question Nos. 17 to 19,[object Object],Two trains A and B are moving with speeds 20 m/s and 30 m/s respectively in,[object Object],the same direction on the same straight track, with B ahead of A. The engines,[object Object],are at the front ends. The engine of train A blows a long whistle.,[object Object],Assume that the sound of the whistle is composed of components varying in,[object Object],frequency from f1 = 800 Hz to f2 = 1120 Hz, as shown in the figure. The spread   in the frequency (highest frequency − lowest frequency) is thus 320 Hz. The   speed of sound in still air is 340 m/s.,[object Object]
Problem,[object Object],17,[object Object],The speed of sound of the whistle is,[object Object],340 m/s for passengers in A and 310 m/s for passengers in B,[object Object],360 m/s for passengers in A and 310 m/s for passengers in B,[object Object],310 m/s for passengers in A and 360 m/s for passengers in B,[object Object],340 m/s for passengers in both the trains,[object Object]
Problem,[object Object],18,[object Object],The distribution of the sound intensity of the whistle as observed by the passengers in train A is best represented by,[object Object],a.,[object Object],b.,[object Object],c.,[object Object],d.,[object Object]
Problem,[object Object],19,[object Object],The spread of frequency as observed by the passengers in train B is,[object Object],310 Hz ,[object Object], 330 Hz,[object Object], 350 Hz ,[object Object],290 Hz,[object Object]
SECTION – IV,[object Object],Match Type ,[object Object],This section contains 3 questions. Each question contains statements given in two columns which have to be matched. Statements  (A, B, C, D) in column I have to be matched with statements (p, q, r, s) in column II. The answers to these questions have to be  appropriately bubbled as illustrated in the following example.  If the correct matches are A-p, A-s, B-q, B-r, C-p, C-q and D-s, then the correctly bubbled 4 × 4 matrix should be as follows:,[object Object]
Problem,[object Object],20,[object Object],Column I describe some situations in which a small object moves. Column II describes some characteristics of these  motions. Match the situation in Column I with the characteristics in Column II and indicate your answer by darkening  appropriate bubbles in the 4 × 4 matrix given in the ORS.,[object Object],Column I                                                                          Column II,[object Object],a. The object moves on the x-axis under a                       (p) The object executes ,[object Object],conservative force in sucha way that its “speed”            simple harmonic motion.,[object Object],“position” satisfy v = 2 where c1 and c2 are positive.,[object Object],b. The object moves on the x-axis it s velocity an             (q) The object does not,[object Object],direction  t from the origin satisfy v = −kx, where k                   change its,[object Object],is a positive,[object Object],c. The object is attached to one end of a massless           (r) The kinetic energy of keeps on decreasing. spring constant. The other end            the object,[object Object],of the spring is attached ceiling of is at rest. The elevator ,[object Object],starts going upwards acceleration a. The motion of the ,[object Object],object is ,[object Object],observed from  maintains this acceleration.,[object Object],d. The object is projected from the earth’s surface vertica (s) The object can,[object Object],only once. with a speed, where, Me is the mass of the           change its direction,[object Object], earth and  Re is the radius of the earth. Neglect forces from objects other,[object Object],than the earth.,[object Object]
Problem,[object Object],21,[object Object],Two wires each carrying a steady current I are shown in four configurations in Column I. Some of the resulting effects  are described in Column II. Match the statements in Column I with the statements in Column II and indicate your,[object Object],answer by darkening appropriate bubbles in the 4 × 4 matrix given in the ORS.,[object Object],Column I                                                                                Column II,[object Object],Point P is situated midway                              (p) The magnetic fields (B) at ,[object Object],the same direction.                                                  due to the currents in the,[object Object],between the wires.                                                       wires are in,[object Object],b. Point P is situated at the midpoint                      (q) The magnetic fields (B) at of the line joining the                                                  P due  to the currents in,[object Object],opposite directions.                                                         the wires are in,[object Object],centers of the circular wires,,[object Object],which have same radii.,[object Object],c. Point P is situated at the midpoint                       (r) There is no magnetic field,[object Object],of the line joining the                                                           at P.,[object Object],centers of the circular wires,,[object Object],which have same radii.,[object Object],d. Point P is situated at the common                          (s) The wires repel each,[object Object],center of the wires.                                                            other.,[object Object]
Problem,[object Object],22,[object Object],Column I gives some devices and Column II gives some process on which the functioning of these devices depend. Match the devices in Column I with the processes in Column II and indicate your answer by darkening appropriate,[object Object],bubbles in the 4 × 4 matrix given in the ORS.,[object Object],Column I                                                                      Column II,[object Object],a. Bimetallic strip                                               (p) Radiation from a hot body,[object Object],b. Steam engine                                                (q) Energy conversion,[object Object],c. Incandescent lamp                                          (r) Melting,[object Object],d.  Electric fuse                                                  (s) Thermal expansion of solids,[object Object]
FOR SOLUTION VISIT WWW.VASISTA.NET,[object Object]

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IIT JEE - 2007 ii - physics

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Editor's Notes

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