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SECTION – I (Single Correct Choice Type) This section contains 7 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for its answer, out of which ONLY ONE is correct. Marking scheme: +3 for correct answer, 0 if not attempted and -1 in all other cases. 1. A uniform plank of mass 'm' free to move in horizontal direction only is placed on the top of a cylinder of mass '2m' and radius 'R'. The plank is attached to a fixed wall by means of a light spring of spring constant k. There is no slipping between the cylinder and the plank and between cylinder and ground. The time period of small oscillations of system is 7m 3m A) 2 B) 2 4k k k 1 k C) 2 D) 3m 2 3m 2. A uniform round body of mass 'm' and radius 'R', rolls down a fixed rough inclined plane without slipping. If 'f' is the frictional force acting on the body, 'a' is its accelera- tion and 'k' is the radius of gyration of body about its rotational axis, then the variation f of with k is best represented by a (for fixed values of m and R) 3. A metal sphere A of radius r 1 charged to a potential 1 is enveloped by a thin walled neutral conducting spherical shell B of radius r 2 . Then potential 2 of the sphere A after it is connected by a thin wire to the shell B will be r 1 r 2 A) 1 B) 1 [ ] r 2 r 1 r 1 r 1 r 2 C) 1 [ 1- ] D) 1 [ ] r 2 r 1 + r 2 4. A small electric dipole P is placed on the X-axis at the point (1, 0). The dipole vectorforms an angle of 30 with the X-axis. Consider a non-uniform electric field to have been applied in the region given by the vector E = x 2 i + y 2 j . What is the force acting on the dipole? A) 2 P cos 30 ( i + 2 j ) B) 2 P cos 30 ( i ) C) 2 P cos 30 ( 2 j ) D) Data insufficient 5. The space between the rectangular plates with sides 'b' and 'l' of a parallel plate capacitor of separation 'd' is filled with a solid dielectric of dielectric constant 'k'. The capacitor is charged to potential difference V 0 and disconnected from the source. Now the dielectric is slowly moved out of the capacitor as shown. At any instant x is the length of dielectric outside the capacitor. Q 1 is charge on air capacitor (on the part of capacitor plate of length x) and Q 2 be the charge of a dielectric capacitor (on the part of capacitor plates of length l – x) at any Q 2 instant. Then varies with x as Q 1 6. The fig. (i) Shows the graphical represe tation of the air molecules in a tube of air (length = L) at atmospheric pressure on the absolute pressure P(x) graph. Which one of the following pictures corresponds to the absolute pressure P(x) graph of fig. (ii)? 7. A neutral particle at rest in a uniform magnetic field decays into two charged particles of different masses at point P, as shown in the figure. The energy released goes to their kinetic energy and particles move in the plane of the paper. Magnetic field is into the plane of paper. Select the diagram which describes path followed by the particles most approximately. SECTION-II (One or more options correct type) This section contains 7 multiple choice ques- tions. Each question has 4 options (A), (B), (C) and (D) for its answer, out of which ONE OR MORE than ONE option can be correct. Marking scheme: +4 for all correct options & +1 partial marks, 0 if not attempted and -2 in all wrong cases. 8. A tube of length ‘L’ is filled completely with an incompressible liquid of mass ‘M’ and closed at both ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity ''. Then which of the following statements are true: A) The force exerted by liquid at the other 1 end is M 2 L 2 B) Ratio of force exerted by liquid at other end and at middle point of the tube may be 4 : 1 C) The force exerted by liquid varies linearly with the distance along the length of tube D) Force is constant throughout the tube. 9. Two small rings each of mass 'm' are connected to the block of same mass 'm' through inextensible massless strings each of length 'l'. Rings are constrained to move over smooth rod AB. Initially system is held at rest as shown in figure. Let 'u' and 'v' be the velocities of any of the rings and block respectively when each sting makes an angle 60 with the vertical. Then gl 8gl A) u = B) u = 5 5 3gl C) v = 3gl D) v = 5 10. In a meter bridge experiment: A) The wire is made up of constantan or manganin wire B) High resistance is also involved in the circuit even while measuring the balancing length C) Copper strips are usually thick D) Galvanometer must deflect in opposite directions when touched at the ends of the wire 11. Nucleus A decays to B with decay constant 1 and B decays to C with a decay constant 2 . Initially at t = 0 number of nuclei of A and B are 2N 0 and N 0 respectively. At t = t 0 , number of nuclei B stop changing. If at this instant number of 3N 0 nuclei of B are , then 2 1 4 1 1 4 1 A) t 0 = ln B) t 0 = ln 1 3 2 2 3 2 3N 0 2 C) N A = at t = t 0 2 1 2N 0 2 D) N A = at t = t 0 3 1 12. An annular wire loop ABCD carries a current I 1 as shown in fig. O is the common centre of the curved parts AB and CD of the loop. A straight wire passing through O and perpendicular to the plane of the loop carries a current I 2 directed towards the reader. Then, at this instant A) The net force on the loop is zero B) The net torque on the loop is zero C) As seen from O the loop will rotate in clock wise sense about axis OP D) As seen from O the loop will rotate in anti-clock wise sense about axis OP d 13. If Newton’s law of cooling, dt = - K ( - 0 ). The constant K is propor- tional to A) Surface area of the body B) Specific heat of the body 1 C) Mass of the body D) Emissivity of the body 14. A gas is undergoing an adiabatic process. At a certain state the volume and temperature of the gas are V 0 , T 0 and the magnitude of slope of V – T curve (Temperature on X-axis and V on Y-axis) is m. RT 0 A) C V of the gas is mV 0 T 0 B) C P of the gas is R [ 1 + ] mV 0 mRT 0 C) C V of the gas is V 0 mT 0 D) C P of the gas is R [ 1 + ] V 0 SECTION – III (Paragraph Type) This section contains 2 groups of questions. Each group has 2 multiple choice questions based on a paragraph. Each question has 4 choices (A), (B), (C) and (D) for its answer, out of which ONLY ONE is correct. Marking scheme: +3 for correct answer, 0 if not attempted and 0 in all other cases. Paragraph For Questions 15 and 16 Two blocks of mass m 1 = 10 kg and m 2 = 5 kg connected to each other by a massless inextensible string of length 0.3 m are placed along a diameter of turn table. The coefficient of friction between the table and m 1 is 0.5 while there is no friction between m 2 and the table. The table is rotating with an angular velocity of 10 rad/s about a vertical axis passing through its centre O. The masses are placed along the diameter of table on either side of the centre O such that the mass m 1 is at a distance of 0.124 m from O. The masses are observed to be at rest with respect to an observer on the turn table. 15. The frictional force on m 1 is A) 36 N B) 50 N C) 25 N D) 18 N 16. The minimum angular speed of the turn table, so that the masses will slip from this position is A) 11.77 rad/s B) 10.33 rad/s C) 8.67 rad/s D) 6.33 rad/s No. of Questions: 54 Max. Marks: 183 Time: 3 Hrs. email: [email protected] ñªëÅ]î¦ô¢Ù 15  2019 - JEE - 2019 (Advanced) PAPER - II NªÞœê¦ ví£øŒoõª ¸ôí£æ¨ ›í@ö˺x PHYSICS
Transcript of email: [email protected] JEE - 2019 (Advanced) …...end and at middle point of the tube may...
SECTION – I
(Single Correct Choice Type)
This section contains 7 multiple choicequestions. Each question has 4 choices (A),(B), (C) and (D) for its answer, out of whichONLY ONE is correct.Marking scheme: +3 for correct answer, 0 ifnot attempted and -1 in all other cases.1. A uniform plank of mass 'm' free to move in
horizontal direction only is placed on the topof a cylinder of mass '2m' and radius 'R'.The plank is attached to a fixed wall bymeans of a light spring of spring constant k.There is no slipping between the cylinderand the plank and between cylinder andground. The time period of smalloscillations of system is
7m 3m A) 2 B) 2
4k k
k 1 kC) 2 D)
3m 2 3m2. A uniform round body of mass 'm' and
radius 'R', rolls down a fixed rough inclinedplane without slipping. If 'f' is the frictionalforce acting on the body, 'a' is its accelera-tion and 'k' is the radius of gyration of bodyabout its rotational axis, then the variation
fof with k is best represented by a(for fixed values of m and R)
3. A metal sphere A of radius r1 charged to apotential 1 is enveloped by a thin walledneutral conductingspherical shell B ofradius r2. Thenpotential 2 of thesphere A after it isconnected by a thinwire to the shell Bwill be
r1 r2A) 1 B) 1 []r2 r1
r1 r1r2C) 1 [1- ] D) 1 []r2 r1 + r2
4. A small electric dipole P
is placed on theX-axis at the point (1, 0). The dipolevectorforms an angle of 30 with theX-axis. Consider a non-uniform electricfield to have been applied in the regiongiven by the vector E
= x2 i
+ y2 j
. What is
the force acting on the dipole?
A) 2 Pcos 30 ( i + 2 j)
B) 2 Pcos 30 ( i)
C) 2 Pcos 30 ( 2 j
) D) Data insufficient
5. The space between the rectangular plateswith sides 'b' and 'l' of a parallel platecapacitor of separation 'd' is filled with asolid dielectric of dielectric constant 'k'. Thecapacitor is charged to potential differenceV0 and disconnected from the source. Nowthe dielectric is slowly moved out of thecapacitor as shown. At any instant x is thelength of dielectric outside the capacitor.Q1 is charge on air capacitor (on the part ofcapacitor plate of length x) and Q2 be thecharge of a dielectric capacitor (on the partof capacitor plates of length l – x) at any
Q2instant. Then varies with x as
Q1
6. The fig. (i) Shows the graphical represetation of the air molecules in a tube of air(length = L) at atmospheric pressure on theabsolute pressure P(x) graph. Which oneof the following pictures corresponds to theabsolute pressure P(x) graph of fig. (ii)?
7. A neutral particle at rest in a uniformmagnetic field decays into two chargedparticles of different masses at point P, asshown in the figure. The energy releasedgoes to their kinetic energy and particlesmove in the plane of the paper. Magneticfield is into the plane of paper. Select thediagram which describes path followed bythe particles most approximately.
SECTION-II
(One or more options correct type)
This section contains 7 multiple choice ques-tions. Each question has 4 options (A), (B), (C)and (D) for its answer, out of which ONE ORMORE than ONE option can be correct.Marking scheme: +4 for all correct options &+1 partial marks, 0 if not attempted and -2 inall wrong cases.8. A tube of length ‘L’ is filled completely with an
incompressible liquid of mass ‘M’ and closedat both ends. The tube is then rotated in ahorizontal plane about one of its ends with auniform angular velocity ''. Then which ofthe following statements are true:A) The force exerted by liquid at the other
1end is M2L2
B) Ratio of force exerted by liquid at otherend and at middle point of the tube maybe 4 : 1
C) The force exerted by liquid varieslinearly with the distance along thelength of tube
D) Force is constant throughout the tube.9. Two small rings each of mass 'm' are
connected to the block of same mass 'm'through inextensible massless strings eachof length 'l'. Rings are constrained to moveover smooth rod AB. Initially system is heldat rest as shown in figure. Let 'u' and 'v' bethe velocities of any of the rings and blockrespectively when each sting makes anangle 60 with the vertical. Then
gl 8glA) u =
B) u =
5 53gl
C) v = 3gl D) v =
5
10. In a meter bridge experiment:A) The wire is made up of constantan or
manganin wireB) High resistance is also involved in the
circuit even while measuring thebalancing length
C) Copper strips are usually thickD) Galvanometer must deflect in opposite
directions when touched at the ends ofthe wire
11. Nucleus A decays to B with decayconstant 1 and B decays to C with adecay constant 2. Initially at t = 0 numberof nuclei of A and B are 2N0 and N0respectively. At t = t0, number of nuclei Bstop changing. If at this instant number of
3N0nuclei of B are , then2
1 41 1 41A) t0 = ln B) t0 = ln 1 32 2 32
3N0 2C) NA = at t = t02 12N0 2D) NA = at t = t03 1
12. An annular wire loop ABCD carries acurrent I1 as shown in fig. O is thecommon centre of the curved parts ABand CD of the loop. A straight wire passingthrough O and perpendicular to the planeof the loop carries a current I2 directed
towards the reader. Then, at this instant
A) The net force on the loop is zeroB) The net torque on the loop is zeroC) As seen from O the loop will rotate in
clock wise sense about axis OPD) As seen from O the loop will rotate in
anti-clock wise sense about axis OPd
13. If Newton’s law of cooling, dt
= - K ( - 0 ). The constant K is propor-tional toA) Surface area of the body B) Specific heat of the body
1C) Mass of the body
D) Emissivity of the body14. A gas is undergoing an adiabatic process. At
a certain state the volume and temperature ofthe gas are V0, T0 and the magnitude of slopeof V – T curve (Temperature on X-axis and Von Y-axis) is m.
RT0A) CV of the gas is mV0
T0B) CP of the gas is R [1 + ]mV0mRT0C) CV of the gas is
V0
mT0D) CP of the gas is R [1 + ]V0
SECTION – III
(Paragraph Type)
This section contains 2 groups of questions.Each group has 2 multiple choice questionsbased on a paragraph. Each question has 4choices (A), (B), (C) and (D) for its answer, outof which ONLY ONE is correct.Marking scheme: +3 for correct answer, 0 ifnot attempted and 0 in all other cases.Paragraph For Questions 15 and 16
Two blocks of mass m1 = 10 kg and m2 = 5 kgconnected to each other by a masslessinextensible string of length 0.3 m are placedalong a diameter of turn table. The coefficientof friction between the table and m1 is 0.5while there is no friction between m2 and thetable. The table is rotating with an angularvelocity of 10 rad/s about a vertical axispassing through its centre O. The masses areplaced along the diameter of table on eitherside of the centre O such that the mass m1 isat a distance of 0.124 m from O. The massesare observed to be at rest with respect to anobserver on the turn table.
15. The frictional force on m1 isA) 36 N B) 50 N C) 25 N D) 18 N
16. The minimum angular speed of the turntable, so that the masses will slip fromthis position is
A) 11.77 rad/s B) 10.33 rad/sC) 8.67 rad/s D) 6.33 rad/s
No. of Questions: 54 Max. Marks: 183 Time: 3 Hrs.
email: [email protected]ñªëÅ]î¦ô¢Ù 15  2019 -
JEE - 2019 (Advanced) PAPER - II
NªÞœê¦ ví£øŒoõª ¸ôí£æ¨ ›í@ö˺x
PHYSICS
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6. -- 1978, áì-÷J 12ì Ô ví£ëůE Ú¥õÙö˺ ê•L-þ§-JÞ¥ -cîμªiû¦Kd ÚÛNª-ù£ûÂe-ìª Ôô¦p-åª-à¶-ø‹ô¢ª?1) ÏÙCô¦ Þ¥ÙDÅ 2) îμ³ô¦Kb ë¶ø‹óÀª3) àŸô¢éË ú‡ÙÞ 4) ô¦@îË ޥÙDÅ
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