JEE (Advanced) 2018 Paper 2
JEE (ADVANCED) 2018 PAPER 2
PART I-PHYSICS
SECTION 1 (Maximum Marks: 24)
This section contains SIX (06) questions.
Each question has FOUR options for correct answer(s). ONE OR MORE THAN ONE of these four
option(s) is (are) correct option(s).
For each question, choose the correct option(s) to answer the question.
Answer to each question will be evaluated according to the following marking scheme:
Full Marks : If only (all) the correct option(s) is (are) chosen.
Partial Marks : If all the four options are correct but ONLY three options are chosen.
Partial Marks : If three or more options are correct but ONLY two options are chosen, both of
which are correct options.
Partial Marks : If two or more options are correct but ONLY one option is chosen and it is a
correct option.
Zero Marks : 0 If none of the options is chosen (i.e. the question is unanswered).
Negative Marks : In all other cases.
For Example: If first, third and fourth are the ONLY three correct options for a question with second
option being an incorrect option; selecting only all the three correct options will result in +4 marks.
Selecting only two of the three correct options (e.g. the first and fourth options), without selecting any
incorrect option (second option in this case), will result in +2 marks. Selecting only one of the three
correct options (either first or third or fourth option) ,without selecting any incorrect option (second
option in this case), will result in +1 marks. Selecting any incorrect option(s) (second option in this case),
with or without selection of any correct option(s) will result in ‐2 marks.
Q.1 A particle of mass is initially at rest at the origin. It is subjected to a force and starts
moving along the -axis. Its kinetic energy changes with time as / , where
is a positive constant of appropriate dimensions. Which of the following statements is (are)
true?
(A) The force applied on the particle is constant
(B) The speed of the particle is proportional to time
(C) The distance of the particle from the origin increases linearly with time
(D) The force is conservative
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,JEE (Advanced) 2018 Paper 2
Q.2 Consider a thin square plate floating on a viscous liquid in a large tank. The height of the
liquid in the tank is much less than the width of the tank. The floating plate is pulled
horizontally with a constant velocity . Which of the following statements is (are) true?
(A) The resistive force of liquid on the plate is inversely proportional to
(B) The resistive force of liquid on the plate is independent of the area of the plate
(C) The tangential (shear) stress on the floor of the tank increases with
(D) The tangential (shear) stress on the plate varies linearly with the viscosity of the liquid
Q.3 An infinitely long thin non-conducting wire is parallel to the -axis and carries a uniform
line charge density . It pierces a thin non-conducting spherical shell of radius in such a
way that the arc subtends an angle 120° at the centre of the spherical shell, as shown
in the figure. The permittivity of free space is . Which of the following statements is (are)
true?
(A) The electric flux through the shell is √3 /
(B) The -component of the electric field is zero at all the points on the surface of the shell
(C) The electric flux through the shell is √2 /
(D) The electric field is normal to the surface of the shell at all points
2/10
,JEE (Advanced) 2018 Paper 2
Q.4 A wire is bent in the shape of a right angled triangle and is placed in front of a concave mirror
of focal length , as shown in the figure. Which of the figures shown in the four options
qualitatively represent(s) the shape of the image of the bent wire? (These figures are not to
scale.)
(A) (B)
(C) (D)
3/10
, JEE (Advanced) 2018 Paper 2
Q.5 In a radioactive decay chain, Th nucleus decays to Pb nucleus. Let and be the
number of and particles, respectively, emitted in this decay process. Which of the
following statements is (are) true?
(A) 5 (B) 6 (C) 2 (D) 4
Q.6 In an experiment to measure the speed of sound by a resonating air column, a tuning fork of
frequency 500 is used. The length of the air column is varied by changing the level of
water in the resonance tube. Two successive resonances are heard at air columns of length
50.7 and 83.9 . Which of the following statements is (are) true?
(A) The speed of sound determined from this experiment is 332
(B) The end correction in this experiment is 0.9
(C) The wavelength of the sound wave is 66.4
(D) The resonance at 50.7 corresponds to the fundamental harmonic
4/10
JEE (ADVANCED) 2018 PAPER 2
PART I-PHYSICS
SECTION 1 (Maximum Marks: 24)
This section contains SIX (06) questions.
Each question has FOUR options for correct answer(s). ONE OR MORE THAN ONE of these four
option(s) is (are) correct option(s).
For each question, choose the correct option(s) to answer the question.
Answer to each question will be evaluated according to the following marking scheme:
Full Marks : If only (all) the correct option(s) is (are) chosen.
Partial Marks : If all the four options are correct but ONLY three options are chosen.
Partial Marks : If three or more options are correct but ONLY two options are chosen, both of
which are correct options.
Partial Marks : If two or more options are correct but ONLY one option is chosen and it is a
correct option.
Zero Marks : 0 If none of the options is chosen (i.e. the question is unanswered).
Negative Marks : In all other cases.
For Example: If first, third and fourth are the ONLY three correct options for a question with second
option being an incorrect option; selecting only all the three correct options will result in +4 marks.
Selecting only two of the three correct options (e.g. the first and fourth options), without selecting any
incorrect option (second option in this case), will result in +2 marks. Selecting only one of the three
correct options (either first or third or fourth option) ,without selecting any incorrect option (second
option in this case), will result in +1 marks. Selecting any incorrect option(s) (second option in this case),
with or without selection of any correct option(s) will result in ‐2 marks.
Q.1 A particle of mass is initially at rest at the origin. It is subjected to a force and starts
moving along the -axis. Its kinetic energy changes with time as / , where
is a positive constant of appropriate dimensions. Which of the following statements is (are)
true?
(A) The force applied on the particle is constant
(B) The speed of the particle is proportional to time
(C) The distance of the particle from the origin increases linearly with time
(D) The force is conservative
1/10
,JEE (Advanced) 2018 Paper 2
Q.2 Consider a thin square plate floating on a viscous liquid in a large tank. The height of the
liquid in the tank is much less than the width of the tank. The floating plate is pulled
horizontally with a constant velocity . Which of the following statements is (are) true?
(A) The resistive force of liquid on the plate is inversely proportional to
(B) The resistive force of liquid on the plate is independent of the area of the plate
(C) The tangential (shear) stress on the floor of the tank increases with
(D) The tangential (shear) stress on the plate varies linearly with the viscosity of the liquid
Q.3 An infinitely long thin non-conducting wire is parallel to the -axis and carries a uniform
line charge density . It pierces a thin non-conducting spherical shell of radius in such a
way that the arc subtends an angle 120° at the centre of the spherical shell, as shown
in the figure. The permittivity of free space is . Which of the following statements is (are)
true?
(A) The electric flux through the shell is √3 /
(B) The -component of the electric field is zero at all the points on the surface of the shell
(C) The electric flux through the shell is √2 /
(D) The electric field is normal to the surface of the shell at all points
2/10
,JEE (Advanced) 2018 Paper 2
Q.4 A wire is bent in the shape of a right angled triangle and is placed in front of a concave mirror
of focal length , as shown in the figure. Which of the figures shown in the four options
qualitatively represent(s) the shape of the image of the bent wire? (These figures are not to
scale.)
(A) (B)
(C) (D)
3/10
, JEE (Advanced) 2018 Paper 2
Q.5 In a radioactive decay chain, Th nucleus decays to Pb nucleus. Let and be the
number of and particles, respectively, emitted in this decay process. Which of the
following statements is (are) true?
(A) 5 (B) 6 (C) 2 (D) 4
Q.6 In an experiment to measure the speed of sound by a resonating air column, a tuning fork of
frequency 500 is used. The length of the air column is varied by changing the level of
water in the resonance tube. Two successive resonances are heard at air columns of length
50.7 and 83.9 . Which of the following statements is (are) true?
(A) The speed of sound determined from this experiment is 332
(B) The end correction in this experiment is 0.9
(C) The wavelength of the sound wave is 66.4
(D) The resonance at 50.7 corresponds to the fundamental harmonic
4/10
