# JEE Advanced Sample Papers 2018 Model Question Paper Free Download PDF

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## JEE Advanced Sample Papers

With the help of JEE Advanced
Sample Papers, one can practice easily for the Joint Entrance Examination
(JEE). Below provided JEE Advanced Model Question Paper includes the pattern
and weightage of each topic which is set according to the examination
department of CBSE. Students can easily free download the JEE Advanced Sample
Question Paper PDF from the below featured direct links. Candidates are advised
to prepare well in order to crack JEE Advance. You may check all the
information related about the JEE Advanced Sample Papers 2018 by going through
this page.

Joint Entrance Examination (JEE) is an all India common
engineering entrance examination. It is one of the most difficult exams to
crack. Only the aspirants who qualify JEE-Mains can appear for JEE-Advanced
examination. There is no better way to prepare for JEE advance examination then
solving Model papers and sample papers because the sample papers are the
similar to the actual exam prepare.

Here in the below section the team of privatejobshub.in is
presenting complete details about JEE
Advance and going to provide JEE Advance sample papers that will be very
beneficial to every candidates, you can also download the model papers in the
form of PDF through this page.

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### JEE Advanced Sample Papers

Q-1) A light source, which emits two wavelengths 𝜆𝜆1
= 400 𝑛𝑛𝑛𝑛 and 𝜆𝜆2
= 600 𝑛𝑛𝑛𝑛, is used in a
Young’s double slit experiment. If recorded fringe widths for 𝜆𝜆1
and𝜆𝜆2
are𝛽𝛽1
and𝛽𝛽2
© number of fringes for them within a distance yon one side of the central
maximum are m1 and m2, respectively, then

1.
𝛽𝛽2 > 𝛽𝛽1

2.
𝑚𝑚1 > 𝑚𝑚2

3.
From the central maximum, 3rdmaximum of λ2
overlaps with 5th minimum of λ1

4.
The angular separation of fringes for λ1 is
greater than λ2

Ans.) 1, 2 and 3

Q-2) One end of a taut string of length 3m along the x axis
is fixed at x=0.The speed of the waves in the string is 100 𝑚𝑚𝑠𝑠−1.
The other end of the string is vibrating in the y direction so that stationary
waves are set up in the string. The possible waveform(s) of these stationary
waves is(are)

1.
𝑦𝑦(𝑡𝑡)
= 𝐴𝐴
sin 𝜋𝜋𝜋𝜋
6 cos 50𝜋𝜋𝜋𝜋 3

2.
𝑦𝑦(𝑡𝑡)
= 𝐴𝐴
sin 𝜋𝜋𝜋𝜋
3 cos 100𝜋𝜋𝜋𝜋 3

3.
𝑦𝑦(𝑡𝑡)
= 𝐴𝐴
sin5𝜋𝜋𝜋𝜋
6 cos 250𝜋𝜋𝜋𝜋 3

4.
𝑦𝑦(𝑡𝑡)
= 𝐴𝐴
sin5𝜋𝜋𝜋𝜋
2 cos 250𝜋𝜋�

Ans.) 1,3 and 4

Q-3) Let𝐸𝐸1(𝑟𝑟),
𝐸𝐸2(𝑟𝑟)
and 𝐸𝐸3(𝑟𝑟)
be the respective electric fields at a distance r from a point charge Q, an
infinitely long wire with constant linear charge density λ, and an infinite
plane with uniform surface charge density σ. If 𝐸𝐸1(𝑟𝑟0)
= 𝐸𝐸2(𝑟𝑟0)
= 𝐸𝐸3(𝑟𝑟0)
at a given distance r0, then

1.
𝑄𝑄 = 4𝜎𝜎𝜎𝜎𝑟𝑟0
2

2.
𝑟𝑟0 = 𝜆𝜆
2𝜋𝜋𝜋𝜋

3.
𝐸𝐸1(𝑟𝑟0⁄2)=
2𝐸𝐸2(𝑟𝑟0⁄2)

4.
𝐸𝐸2(𝑟𝑟0⁄2)=4𝐸𝐸3(𝑟𝑟0⁄2)

Ans.) 3

Q-4) Heater of an electric kettle is made of a wire of
length L and diameter d. It takes 4 minutes to raise the temperature of
0.5kgwater by 40K. This heater is replaced by a new heater having two wires of
the same material, each of length L and diameter 2d.The way these wires are
connected is given in the options. How much time in minutes will it take to
raise the temperature of the same amount of water by 40 K?

1.
4 if wires are in parallel

2.
2 if wires are in series

3.
1 if wires are in series

4.
0.5 if wires are in parallel

Ans.) 2 and 4

Q-5) A transparent thin film of uniform thickness and
refractive index n1= 1.4 is coated on theconvex spherical surface of radius Rat
one end of a long solid glass cylinder of refractive index n2 = 1.5, as shown
in the figure. Rays of light parallel to the axis of the cylinder traversing
through the film from air to glass get focused at distance f1 from the film,
while rays of light traversing from glass to air get focused at distance f2
from the film. Then

1.
|𝑓𝑓1| =3R

2.
|𝑓𝑓1| = 2.8R

3.
|𝑓𝑓2| =2R

4.
|𝑓𝑓2| = 1.4R

Ans) 1and 3

Q-6) Two ideal batteries of emfV1 and V2 and three
resistancesR1, R2 andR3 are connected as shown in the figure. The current in
resistanceR2 would be zero if

1.
𝑉𝑉1 = 𝑉𝑉2and𝑅𝑅1
= 𝑅𝑅2
= 𝑅𝑅3

2.
𝑉𝑉1 = 𝑉��2and𝑅𝑅1
= 2𝑅𝑅2
= 𝑅𝑅3

3.
𝑉𝑉1 = 2𝑉𝑉2and
2𝑅𝑅1
= 2𝑅𝑅2
= 𝑅𝑅3

4.
2𝑉𝑉1 = 𝑉𝑉2and2𝑅𝑅1
= 𝑅𝑅2
= 𝑅𝑅3

Ans.) 1, 2 and 4

This section contains 5 questions. Each question, when
worked out will result in one integer from 0 to 9 (both inclusive).

Q-7) Airplanes A and B are flying with constant velocity in
the same vertical plane at angles 30° and 60° with respect to the horizontal
respectively as shown in figure. The speed of A is 100√3 𝑚s

^{−1}. At time 𝑡= 0 𝑠, an observer in A finds B at a distance of 500 m. This observer sees B moving with a constant velocity perpendicular to the line of motion of A. If at 𝑡 = 𝑡0, A just escapes being hit by B, 𝑡0 in seconds is
Ans.) 5

Q-8) During Searle’s experiment, zero of the Vernier scale
lies between 3.20 × 10

^{−2}𝑚𝑚 and 3.25 × 10^{−2}𝑚𝑚 of the main scale. The 20th division of the Vernier scale exactly coincides with one of the main scale divisions. When an additional load of 2 kg is applied to the wire, the zero of the Vernier scale still lies between 3.20 × 10^{−2}𝑚𝑚 and 3.25 × 10^{−2}𝑚𝑚 of the main scale but now the 45th division of Vernier scale coincides with one of the main scale divisions. The length of the thin metallic wire is 2 m and its cross-sectional area is 8 × 10^{−7}𝑚𝑚2. The least count of the Vernier scale is 1.0 × 10^{−5}𝑚𝑚. The maximum percentage error in the Young’s modulus of the wire is
Ans.) 4

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Q-9) A uniform circular disc of mass 1.5 kg and radius 0.5 m
is initially at rest on a horizontal frictionless surface. Three forces of
equal magnitude F = 0.5 N are applied simultaneously along the three sides of
an equilateral triangle XYZ with its vertices on the perimeter of the disc (see
figure). One second after applying the forces, the angular speed of the disc in
rads

^{−1}is
Ans.) 2

Q-10) Two parallel wires in the plane of the paper are
distance X

_{0}apart. A point charge is moving with speed u between the wires in the same plane at a distance X_{1}from one of the wires. When the wires carry current of magnitude I in the same direction, the radius of curvature of the path of the point charge is R_{1}. In contrast, if the currents I in the two wires have directions opposite to each other, the radius of curvature of the path is R_{2}. If 𝑋0/ 𝑋1 =_{3}, the value of 𝑅_{1}/ 𝑅_{2}is
Ans.) 3

Q-11) To find the distance d over which a signal can be seen
clearly in foggy conditions, a railways engineer uses dimensional analysis and
assumes that the distance depends on the mass density ρ of the fog, intensity
(power/area) 𝑆𝑆 of the light from the signal and its
frequency f. The engineer finds that 𝑑 is proportional to 𝑆

^{1⁄ }. The value of 𝑛 is
Ans.) 3

Q-12 An ideal gas in a thermally insulated vessel at
internal pressure = P

_{1}, volume = V_{1}and absolute temperature = T_{1}expands irreversibly against zero external pressure, as shown in the diagram. The final internal pressure, volume and absolute temperature of the gas are P_{2}, V_{2 }and T_{2}, respectively. For this expansion,
1.
q = 0

2.
T

_{2}= T_{1 }
3.
P

_{2}V_{2}= P_{1}V_{1}
4.
P

_{2}V_{2}^{γ}= P_{1}V_{1}^{y}
Ans.) 1, 2 and 3

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Q-13) Hydrogen bonding plays a central role in the following
phenomena:

1.
Ice floats in water.

2.
Higher Lewis basicity of primary amines than
tertiary amines in aqueous solutions.

3.
Formic acid is more acidic than acetic acid.

4.
Dimerisation of acetic acid in benzene

Ans.) 1,2,4

Q-14) In a galvanic cell, the salt bridge

1.
does not participate chemically in the cell
reaction

2.
stops the diffusion of ions from one electrode
to another

3.
is necessary for the occurrence of the cell
reaction

4.
ensures mixing of the two electrolytic
solutions.

Ans.) 1, 3 or only 1

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Q-15) Upon heating with Cu2S, the reagent(s) that give
copper metal is/are

1.
CuFeS

_{2}
2.
CuO

3.
Cu

_{2}O
4.
CuSO

_{4}
Ans.) 2,3 and 4

Q-16) The correct statement(s) for orthoboric acid is/are

1.
It behaves as a weak acid in water due to self
ionization

2.
Acidity of its aqueous solution increases upon
addition of ethylene glycol

3.
It has a three dimensional structure due to
hydrogen bonding

4.
It is a weak electrolyte in water.

Ans.) 2 and 4

Q-17) The pair(s) of reagents that yield paramagnetic
species is/are

1.
Na and excess of NH3

2.
K and excess of O2

3.
Cu and dilute HNO3

4.
O2 and 2-ethylanthraquinol

Ans.) 1, 2 and 3

Q-18) Among PbS, CuS, HgS, MnS, Ag2S, NiS, CoS, Bi2S3 and
SnS2, the total number of

**BLACK**coloured sulfides is
Ans.) 6 or 7

Q-19) Consider the following list of reagents:

Acidified K2Cr2O7, alkaline KMnO4, CuSO4, H2O2, Cl2, O3,
FeCl3, HNO3 and Na2S2O3. The total number of reagents that can oxidise aqueous
iodide to iodine is

Ans.) 7

Q-20) MX

^{2}dissociates into M^{2+ }and X^{–}ions in an aqueous solution, with a degree of dissociation (α) of 0.5. The ratio of the observed depression of freezing point of the aqueous solution to the value of the depression of freezing point in the absence of ionic dissociation is
Ans.) 2

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