JEE Advanced 2016 Paper 1 Question Paper

Question 1

Let $-\frac{\pi}{6} < heta < -\frac{\pi}{12}$. Suppose $\alpha_1$ and $\beta_1$ are the roots of the equation $x^{2} - 2x\sec heta + 1 = 0$ and $\alpha_2$ and $\beta_2$ are the roots of the equation $x^{2} + 2x an heta - 1 = 0$. If $\alpha_1 > \beta_1$ and $\alpha_2 > \beta_2$, then $\alpha_1 + \beta_2$ equals

Accepted Answer

(C) $-2	an	heta$

Answer

(A) $2(\sec	heta - 	an	heta)$

Answer

(B) $2\sec	heta$

Answer

(D) $0$

Question 2

A debate club consists of 6 girls and 4 boys. A team of 4 members is to be selected from this club including the selection of a captain (from among these 4 members) for the team. If the team has to include at most one boy, then the number of ways of selecting the team is

Accepted Answer

(A) 380

Answer

(B) 320

Answer

(C) 260

Answer

(D) 95

Question 3

Let $S = \left\{ x \in (-\pi, \pi) : x 
eq 0, \pm\frac{\pi}{2} ight\}$. The sum of all distinct solutions of the equation $\sqrt{3}\sec x + \operatorname{cosec} x + 2(	an x - \cot x) = 0$ in the set $S$ is equal to

Accepted Answer

(C) $0$

Answer

(A) $-\frac{7\pi}{9}$

Answer

(B) $-\frac{2\pi}{9}$

Answer

(D) $\frac{5\pi}{9}$

Question 4

A computer producing factory has only two plants $T_1$ and $T_2$. Plant $T_1$ produces 20% and plant $T_2$ produces 80% of the total computers produced. 7% of computers produced in the factory turn out to be defective. It is known that
P(computer turns out to be defective given that it is produced in plant $T_1$)
= 10 P(computer turns out to be defective given that it is produced in plant $T_2$),
where P(E) denotes the probability of an event E. A computer produced in the factory is randomly selected and it does not turn out to be defective. Then the probability that it is produced in plant $T_2$ is

Accepted Answer

(C) $\frac{78}{93}$

Answer

(A) $\frac{36}{73}$

Answer

(B) $\frac{47}{79}$

Answer

(D) $\frac{75}{83}$

Question 5

The least value of $\alpha \in \mathbb{R}$ for which $4\alpha x^{2} + \frac{1}{x} \geq 1$, for all $x > 0$, is

Accepted Answer

(C) $\frac{1}{27}$

Answer

(A) $\frac{1}{64}$

Answer

(B) $\frac{1}{32}$

Answer

(D) $\frac{1}{25}$

Question 6

Consider a pyramid OPQRS located in the first octant ($x \geq 0$, $y \geq 0$, $z \geq 0$) with O as origin, and OP and OR along the x-axis and the y-axis, respectively. The bases OPQR of the pyramid is a square with OP = 3. The point S is directly above the mid-point T of diagonal OQ such that TS = 3. Then

Accepted Answer

(B) the equation of the plane containing the triangle OQS is $x - y = 0$

Accepted Answer

(C) the length of the perpendicular from P to the plane containing the triangle OQS is $\frac{3}{\sqrt{2}}$

Accepted Answer

(D) the perpendicular distance from O to the straight line containing RS is $\sqrt{\frac{15}{2}}$

Answer

(A) the acute angle between OQ and OS is $\frac{\pi}{3}$

Question 7

Let $f : (0, \infty) 	o \mathbb{R}$ be a differentiable function such that $f'(x) = 2 - \frac{f(x)}{x}$ for all $x \in (0, \infty)$ and $f(1) 
eq 1$. Then

Accepted Answer

(A) $\lim_{x 	o 0+} f'\left(\frac{1}{x}ight) = 1$

Answer

(B) $\lim_{x 	o 0+} x f\left(\frac{1}{x}ight) = 2$

Answer

(C) $\lim_{x 	o 0+} x^{2} f'(x) = 0$

Answer

(D) $|f(x)| \leq 2$ for all $x \in (0, 2)$

Question 8

Let $P = \begin{bmatrix} 3 & -1 & -2 \ 2 & 0 & \alpha \ 3 & -5 & 0 \end{bmatrix}$, where $\alpha \in \mathbb{R}$. Suppose $Q = [q_{ij}]$ is a matrix such that $PQ = kI$, where $k \in \mathbb{R}$, $k 
eq 0$ and $I$ is the identity matrix of order 3. If $q_{23} = -\frac{k}{8}$ and $\det(Q) = \frac{k^{2}}{2}$, then

Accepted Answer

(B) $4\alpha - k + 8 = 0$

Accepted Answer

(C) $\det(P\,\mathrm{adj}(Q)) = 2^{9}$

Answer

(A) $\alpha = 0, k = 8$

Answer

(D) $\det(Q\,\mathrm{adj}(P)) = 2^{13}$

Question 9

In a triangle XYZ, let $x, y, z$ be the lengths of sides opposite to the angles X, Y, Z, respectively, and $2s = x + y + z$. If $\frac{s - x}{4} = \frac{s - y}{3} = \frac{s - z}{2}$ and area of incircle of the triangle XYZ is $\frac{8\pi}{3}$, then

Accepted Answer

(A) area of the triangle XYZ is $6\sqrt{6}$

Accepted Answer

(C) $\sin\frac{X}{2}\sin\frac{Y}{2}\sin\frac{Z}{2} = \frac{4}{35}$

Accepted Answer

(D) $\sin^{2}\left(\frac{X + Y}{2}\right) = \frac{3}{5}$

Answer

(B) the radius of circumcircle of the triangle XYZ is $\frac{35}{6}\sqrt{6}$

Question 10

A solution curve of the differential equation $\left(x^{2} + xy + 4x + 2y + 4\right)\frac{dy}{dx} - y^{2} = 0$, $x > 0$, passes through the point (1, 3). Then the solution curve

Accepted Answer

(A) intersects $y = x + 2$ exactly at one point

Accepted Answer

(D) does NOT intersect $y = (x + 3)^{2}$

Answer

(B) intersects $y = x + 2$ exactly at two points

Answer

(C) intersects $y = (x + 2)^{2}$

Question 11

Let $f : \mathbb{R} 	o \mathbb{R}$, $g : \mathbb{R} 	o \mathbb{R}$ and $h : \mathbb{R} 	o \mathbb{R}$ be differentiable functions such that $f(x) = x^{3} + 3x + 2$, $g(f(x)) = x$ and $h(g(g(x))) = x$ for all $x \in \mathbb{R}$. Then

Accepted Answer

(B) $h'(1) = 666$

Accepted Answer

(C) $h(0) = 16$

Answer

(A) $g'(2) = \frac{1}{15}$

Answer

(D) $h(g(3)) = 36$

Question 12

The circle $C_1 : x^{2} + y^{2} = 3$, with centre at O, intersects the parabola $x^{2} = 2y$ at the point P in the first quadrant. Let the tangent to the circle $C_1$ at P touches other two circles $C_2$ and $C_3$ at $R_2$ and $R_3$, respectively. Suppose $C_2$ and $C_3$ have equal radii $2\sqrt{3}$ and centres $Q_2$ and $Q_3$, respectively. If $Q_2$ and $Q_3$ lie on the y-axis, then

Accepted Answer

(A) $Q_2Q_3 = 12$

Accepted Answer

(B) $R_2R_3 = 4\sqrt{6}$

Accepted Answer

(C) area of the triangle $OR_2R_3$ is $6\sqrt{2}$

Answer

(D) area of the triangle $PQ_2Q_3$ is $4\sqrt{2}$

Question 13

Let RS be the diameter of the circle $x^{2} + y^{2} = 1$, where S is the point (1, 0). Let P be a variable point (other than R and S) on the circle and tangents to the circle at S and P meet at the point Q. The normal to the circle at P intersects a line drawn through Q parallel to RS at point E. Then the locus of E passes through the point(s)

Accepted Answer

(A) $\left(\frac{1}{3}, \frac{1}{\sqrt{3}}\right)$

Accepted Answer

(C) $\left(\frac{1}{3}, -\frac{1}{\sqrt{3}}\right)$

Answer

(B) $\left(\frac{1}{4}, \frac{1}{2}\right)$

Answer

(D) $\left(\frac{1}{4}, -\frac{1}{2}\right)$

Question 14

The total number of distinct $x \in \mathbb{R}$ for which $\begin{vmatrix} x & x^{2} & 1 + x^{3} \ 2x & 4x^{2} & 1 + 8x^{3} \ 3x & 9x^{2} & 1 + 27x^{3} \end{vmatrix} = 10$ is

Accepted Answer

2

Question 15

Let $m$ be the smallest positive integer such that the coefficient of $x^{2}$ in the expansion of $(1 + x)^{2} + (1 + x)^{3} + \ldots + (1 + x)^{49} + (1 + mx)^{50}$ is $(3n + 1)\,{}^{51}C_3$ for some positive integer $n$. Then the value of $n$ is

Accepted Answer

5

Question 16

The total number of distinct $x \in [0, 1]$ for which $\int_{0}^{x} \frac{t^{2}}{1 + t^{4}}\,dt = 2x - 1$ is

Accepted Answer

1

Question 17

Let $\alpha, \beta \in \mathbb{R}$ be such that $\lim_{x 	o 0} \frac{x^{2}\sin(\beta x)}{\alpha x - \sin x} = 1$. Then $6(\alpha + \beta)$ equals

Accepted Answer

7

Question 18

Let $z = \frac{-1 + \sqrt{3}i}{2}$, where $i = \sqrt{-1}$, and $r, s \in \{1, 2, 3\}$. Let $P = \begin{bmatrix} (-z)^{r} & z^{2s} \ z^{2s} & z^{r} \end{bmatrix}$ and $I$ be the identity matrix of order 2. Then the total number of ordered pairs $(r, s)$ for which $P^{2} = -I$ is

Accepted Answer

1

Question 19

In a historical experiment to determine Planck's constant, a metal surface was irradiated with light of different wavelengths. The emitted photoelectron energies were measured by applying a stopping potential. The relevant data for the wavelength ($\lambda$) of incident light and the corresponding stopping potential ($V_0$) are given below:

$\lambda$ (μm) | $V_0$ (Volt)
0.3 | 2.0
0.4 | 1.0
0.5 | 0.4

Given that $c = 3 	imes 10^{8}\ 	ext{ms}^{-1}$ and $e = 1.6 	imes 10^{-19}\ 	ext{C}$, Planck's constant (in units of J s) found from such an experiment is

Accepted Answer

(B) $6.4 	imes 10^{-34}$

Answer

(A) $6.0 	imes 10^{-34}$

Answer

(C) $6.6 	imes 10^{-34}$

Answer

(D) $6.8 	imes 10^{-34}$

Question 20

A water cooler of storage capacity 120 litres can cool water at a constant rate of $P$ watts. In a closed circulation system (as shown schematically in the figure), the water from the cooler is used to cool an external device that generates constantly 3 kW of heat (thermal load). The temperature of water fed into the device cannot exceed $30\ ^{0}	ext{C}$ and the entire stored 120 litres of water is initially cooled to $10\ ^{0}	ext{C}$. The entire system is thermally insulated. The minimum value of $P$ (in watts) for which the device can be operated for 3 hours is
(Specific heat of water is $4.2\ 	ext{kJ kg}^{-1}\ 	ext{K}^{-1}$ and the density of water is $1000\ 	ext{kg m}^{-3}$)

Accepted Answer

(B) 2067

Answer

(A) 1600

Answer

(C) 2533

Answer

(D) 3933

Question 21

A parallel beam of light is incident from air at an angle $\alpha$ on the side PQ of a right angled triangular prism of refractive index $n = \sqrt{2}$. Light undergoes total internal reflection in the prism at the face PR when $\alpha$ has a minimum value of $45^{0}$. The angle $	heta$ of the prism is

Accepted Answer

(A) $15^{0}$

Answer

(B) $22.5^{0}$

Answer

(C) $30^{0}$

Answer

(D) $45^{0}$

Question 22

An infinite line charge of uniform electric charge density $\lambda$ lies along the axis of an electrically conducting infinite cylindrical shell of radius R. At time $t = 0$, the space inside the cylinder is filled with a material of permittivity $\varepsilon$ and electrical conductivity $\sigma$. The electrical conduction in the material follows Ohm's law. Which one of the following graphs best describes the subsequent variation of the magnitude of current density $j(t)$ at any point in the material?

Accepted Answer

(C) (C)

Answer

(A) (A)

Answer

(B) (B)

Answer

(D) (D)

Question 23

Highly excited states for hydrogen-like atoms (also called Rydberg states) with nuclear charge $Ze$ are defined by their principal quantum number $n$, where $n >> 1$. Which of the following statement(s) is (are) true?

Accepted Answer

(A) Relative change in the radii of two consecutive orbitals does not depend on $Z$

Accepted Answer

(B) Relative change in the radii of two consecutive orbitals varies as $1/n$

Accepted Answer

(D) Relative change in the angular momenta of two consecutive orbitals varies as $1/n$

Answer

(C) Relative change in the energy of two consecutive orbitals varies as $1/n^{3}$

Question 24

Two loudspeakers M and N are located 20 m apart and emit sound at frequencies 118 Hz and 121 Hz, respectively. A car is initially at a point P, 1800 m away from the midpoint Q of the line MN and moves towards Q constantly at 60 km/hr along the perpendicular bisector of MN. It crosses Q and eventually reaches a point R, 1800 m away from Q. Let $
u(t)$ represent the beat frequency measured by a person sitting in the car at time t. Let $
u_P$, $
u_Q$ and $
u_R$ be the beat frequencies measured at locations P, Q and R, respectively. The speed of sound in air is $330\ 	ext{m s}^{-1}$. Which of the following statement(s) is(are) true regarding the sound heard by the person?

Accepted Answer

(A) $
u_P + 
u_R = 2
u_Q$

Accepted Answer

(B) The rate of change in beat frequency is maximum when the car passes through Q

Accepted Answer

(C) The plot below represents schematically the variation of beat frequency with time [first plot]

Answer

(D) The plot below represents schematically the variation of beat frequency with time [second plot]

Question 25

An incandescent bulb has a thin filament of tungsten that is heated to high temperature by passing an electric current. The hot filament emits black-body radiation. The filament is observed to break up at random locations after a sufficiently long time of operation due to non-uniform evaporation of tungsten from the filament. If the bulb is powered at constant voltage, which of the following statement(s) is(are) true?

Accepted Answer

(C) The filament emits more light at higher band of frequencies before it breaks up

Accepted Answer

(D) The filament consumes less electrical power towards the end of the life of the bulb

Answer

(A) The temperature distribution over the filament is uniform

Answer

(B) The resistance over small sections of the filament decreases with time

Question 26

A plano-convex lens is made of a material of refractive index n. When a small object is placed 30 cm away in front of the curved surface of the lens, an image of double the size of the object is produced. Due to reflection from the convex surface of the lens, another faint image is observed at a distance of 10 cm away from the lens. Which of the following statement(s) is(are) true?

Accepted Answer

(A) The refractive index of the lens is 2.5

Accepted Answer

(D) The focal length of the lens is 20 cm

Answer

(B) The radius of curvature of the convex surface is 45 cm

Answer

(C) The faint image is erect and real

Question 27

A length-scale ($\ell$) depends on the permittivity ($\varepsilon$) of a dielectric material, Boltzmann constant ($k_B$), the absolute temperature (T), the number per unit volume (n) of certain charged particles, and the charge (q) carried by each of the particles. Which of the following expression(s) for $\ell$ is(are) dimensionally correct?

Accepted Answer

(B) $\ell = \sqrt{\left(\frac{\varepsilon k_B T}{nq^{2}}\right)}$

Accepted Answer

(D) $\ell = \sqrt{\left(\frac{q^{2}}{\varepsilon n^{1/3} k_B T}\right)}$

Answer

(A) $\ell = \sqrt{\left(\frac{nq^{2}}{\varepsilon k_B T}\right)}$

Answer

(C) $\ell = \sqrt{\left(\frac{q^{2}}{\varepsilon n^{2/3} k_B T}\right)}$

Question 28

A conducting loop in the shape of a right angled isosceles triangle of height 10 cm is kept such that the $90°$ vertex is very close to an infinitely long conducting wire (see the figure). The wire is electrically insulated from the loop. The hypotenuse of the triangle is parallel to the wire. The current in the triangular loop is in counterclockwise direction and increased at a constant rate of $10\ 	ext{A s}^{-1}$. Which of the following statement(s) is(are) true?

Accepted Answer

(A) The magnitude of induced $emf$ in the wire is $\left(\frac{\mu_0}{\pi}\right)$ volt

Accepted Answer

(D) There is a repulsive force between the wire and the loop

Answer

(B) If the loop is rotated at a constant angular speed about the wire, an additional $emf$ of $\left(\frac{\mu_0}{\pi}\right)$ volt is induced in the wire

Answer

(C) The induced current in the wire is in opposite direction to the current along the hypotenuse

Question 29

The position vector $\vec{r}$ of a particle of mass m is given by the following equation $\vec{r}(t) = \alpha t^{3}\hat{i} + \beta t^{2}\hat{j}$, where $\alpha = 10/3\ 	ext{m s}^{-3}$, $\beta = 5\ 	ext{m s}^{-2}$ and $m = 0.1$ kg. At $t = 1$ s, which of the following statement(s) is(are) true about the particle?

Accepted Answer

(A) The velocity $\vec{v}$ is given by $\vec{v} = \left(10\hat{i} + 10\hat{j}ight)\ 	ext{m s}^{-1}$

Accepted Answer

(B) The angular momentum $\vec{L}$ with respect to the origin is given by $\vec{L} = -(5/3)\hat{k}\ 	ext{N m s}$

Accepted Answer

(D) The torque $\vec{	au}$ with respect to the origin is given by $\vec{	au} = -(20/3)\hat{k}\ 	ext{N m}$

Answer

(C) The force $\vec{F}$ is given by $\vec{F} = (\hat{i} + 2\hat{j})\ 	ext{N}$

Question 30

A transparent slab of thickness $d$ has a refractive index $n(z)$ that increases with $z$. Here $z$ is the vertical distance inside the slab, measured from the top. The slab is placed between two media with uniform refractive indices $n_1$ and $n_2$ ($> n_1$), as shown in the figure. A ray of light is incident with angle $	heta_i$ from medium 1 and emerges in medium 2 with refraction angle $	heta_f$ with a lateral displacement $l$.
Which of the following statement (s) is (are) true?

Accepted Answer

(A) $n_1 \sin	heta_i = n_2 \sin	heta_f$

Accepted Answer

(C) $l$ is independent of $n_2$

Accepted Answer

(D) $l$ is dependent on $n(z)$

Answer

(B) $n_1 \sin	heta_i = (n_2 - n_1)\sin	heta_f$

Question 31

A metal is heated in a furnace where a sensor is kept above the metal surface to read the power radiated ($P$) by the metal. The sensor has a scale that displays $\log_2 (P/P_0)$, where $P_0$ is a constant. When the metal surface is at a temperature of 487°C, the sensor shows a value 1. Assume that the emissivity of the metallic surface remains constant. What is the value displayed by the sensor when the temperature of the metal surface is raised to 2767 °C?

Accepted Answer

9

Question 32

The isotope $^{12}_{5}	ext{B}$ having a mass 12.014 u undergoes β-decay to $^{12}_{6}	ext{C}$. $^{12}_{6}	ext{C}$ has an excited state of the nucleus ($^{12}_{6}	ext{C}^*$) at 4.041 MeV above its ground state. If $^{12}_{5}	ext{B}$ decays to $^{12}_{6}	ext{C}^*$, the maximum kinetic energy of the β-particle in units of MeV is
(1 u = 931.5 MeV/$c^{2}$, where $c$ is the speed of light in vacuum).

Accepted Answer

9

Question 33

A hydrogen atom in its ground state is irradiated by light of wavelength 970 Å. Taking $hc/e = 1.237 	imes 10^{-6}$ eV m and the ground state energy of hydrogen atom as −13.6 eV, the number of lines present in the emission spectrum is

Accepted Answer

6

Question 34

Consider two solid spheres P and Q each of density $8\ 	ext{gm cm}^{-3}$ and diameters 1cm and 0.5cm, respectively. Sphere P is dropped into a liquid of density $0.8\ 	ext{gm cm}^{-3}$ and viscosity $\eta = 3$ poiseulles. Sphere Q is dropped into a liquid of density $1.6\ 	ext{gm cm}^{-3}$ and viscosity $\eta = 2$ poiseulles. The ratio of the terminal velocities of P and Q is

Accepted Answer

3

Question 35

Two inductors $L_1$ (inductance 1 mH, internal resistance 3Ω) and $L_2$ (inductance 2 mH, internal resistance 4Ω), and a resistor R (resistance 12Ω) are all connected in parallel across a 5V battery. The circuit is switched on at time $t = 0$. The ratio of the maximum to the minimum current ($I_{max} / I_{min}$) drawn from the battery is

Accepted Answer

8

Question 36

$P$ is the probability of finding the 1s electron of hydrogen atom in a spherical shell of infinitesimal thickness, $dr$, at a distance $r$ from the nucleus. The volume of this shell is $4\pi r^{2}dr$. The qualitative sketch of the dependence of $P$ on $r$ is

Accepted Answer

(D) (D)

Answer

(A) (A)

Answer

(B) (B)

Answer

(C) (C)

Question 37

One mole of an ideal gas at 300 K in thermal contact with surroundings expands isothermally from 1.0 L to 2.0 L against a constant pressure of 3.0 atm. In this process, the change in entropy of surrounding ($\Delta S_{surr}$) in $JK^{-1}$ is (1 L atm = 101.3 J)

Accepted Answer

(C) $-1.013$

Answer

(A) 5.763

Answer

(B) 1.013

Answer

(D) $-5.763$

Question 38

The increasing order of atomic radii of the following Group 13 elements is

Accepted Answer

(B) Ga < Al < In < Tl

Answer

(A) Al < Ga < In < Tl

Answer

(C) Al < In < Ga < Tl

Answer

(D) Al < Ga < Tl < In

Question 39

Among $[Ni(CO)_{4}]$, $[NiCl_{4}]^{2-}$, $[Co(NH_{3})_{4}Cl_{2}]Cl$, $Na_{3}[CoF_{6}]$, $Na_{2}O_{2}$ and $CsO_{2}$, the total number of paramagnetic compounds is

Accepted Answer

(B) 3

Answer

(A) 2

Answer

(C) 4

Answer

(D) 5

Question 40

On complete hydrogenation, natural rubber produces

Accepted Answer

(A) ethylene-propylene copolymer

Answer

(B) vulcanised rubber

Answer

(C) polypropylene

Answer

(D) polybutylene

Question 41

According to the Arrhenius equation,

Accepted Answer

(B) rate constant increases with increase in temperature. This is due to a greater number of collisions whose energy exceeds the activation energy.

Accepted Answer

(C) higher the magnitude of activation energy, stronger is the temperature dependence of the rate constant.

Accepted Answer

(D) the pre-exponential factor is a measure of the rate at which collisions occur, irrespective of their energy.

Answer

(A) a high activation energy usually implies a fast reaction.

Question 42

A plot of the number of neutrons (N) against the number of protons (P) of stable nuclei exhibits upward deviation from linearity for atomic number, Z > 20. For an unstable nucleus having N/P ratio less than 1, the possible mode(s) of decay is(are)

Accepted Answer

(B) orbital or K-electron capture

Accepted Answer

(D) $\beta^{+}$-decay (positron emission)

Answer

(A) $\beta^{-}$-decay ($\beta$ emission)

Answer

(C) neutron emission

Question 43

The crystalline form of borax has

Accepted Answer

(A) tetranuclear $[B_{4}O_{5}(OH)_{4}]^{2-}$ unit

Accepted Answer

(C) equal number of $sp^{2}$ and $sp^{3}$ hybridized boron atoms

Accepted Answer

(D) one terminal hydroxide per boron atom

Answer

(B) all boron atoms in the same plane

Question 44

The compound(s) with TWO lone pairs of electrons on the central atom is(are)

Accepted Answer

(B) $ClF_{3}$

Accepted Answer

(C) $XeF_{4}$

Answer

(A) $BrF_{5}$

Answer

(D) $SF_{4}$

Question 45

The reagent(s) that can selectively precipitate $S^{2-}$ from a mixture of $S^{2-}$ and $SO_{4}^{2-}$ in aqueous solution is(are)

Accepted Answer

(A) $CuCl_{2}$

Answer

(B) $BaCl_{2}$

Answer

(C) $Pb(OOCCH_{3})_{2}$

Answer

(D) $Na_{2}[Fe(CN)_{5}NO]$

Question 46

Positive Tollen's test is observed for

Accepted Answer

(A) (A)

Accepted Answer

(B) (B)

Answer

(C) (C)

Answer

(D) (D)

Question 47

The product(s) of the following reaction sequence is (are)

Accepted Answer

(B) (B)

Answer

(A) (A)

Answer

(C) (C)

Answer

(D) (D)

Question 48

The correct statement(s) about the following reaction sequence is(are)

$	ext{Cumene }(C_{9}H_{12}) \xrightarrow[	ext{ii) } H_{3}O^{+}]{	ext{i) } O_{2}} \mathbf{P} \xrightarrow{CHCl_{3}/NaOH} \mathbf{Q}	ext{ (major)} + \mathbf{R}	ext{ (minor)}$

$\mathbf{Q} \xrightarrow[PhCH_{2}Br]{NaOH} \mathbf{S}$

Accepted Answer

(B) $\mathbf{Q}$ gives dark violet coloration with 1% aqueous $FeCl_{3}$ solution

Accepted Answer

(C) $\mathbf{S}$ gives yellow precipitate with 2, 4-dinitrophenylhydrazine

Answer

(A) $\mathbf{R}$ is steam volatile

Answer

(D) $\mathbf{S}$ gives dark violet coloration with 1% aqueous $FeCl_{3}$ solution

Question 49

The mole fraction of a solute in a solution is 0.1. At 298 K, molarity of this solution is the same as its molality. Density of this solution at 298 K is 2.0 g $cm^{-3}$. The ratio of the molecular weights of the solute and solvent, $\left(\dfrac{MW_{solute}}{MW_{solvent}}\right)$, is

Accepted Answer

9

Question 50

The diffusion coefficient of an ideal gas is proportional to its mean free path and mean speed. The absolute temperature of an ideal gas is increased 4 times and its pressure is increased 2 times. As a result, the diffusion coefficient of this gas increases $x$ times. The value of $x$ is

Accepted Answer

4

Question 51

In neutral or faintly alkaline solution, 8 moles of permanganate anion quantitatively oxidize thiosulphate anions to produce $\mathbf{X}$ moles of a sulphur containing product. The magnitude of $\mathbf{X}$ is

Accepted Answer

6

Question 52

The number of geometric isomers possible for the complex $[CoL_{2}Cl_{2}]^{-}$ (L = $H_{2}NCH_{2}CH_{2}O^{-}$) is

Accepted Answer

5

Question 53

In the following monobromination reaction, the number of possible chiral products is

Accepted Answer

5

JEE Advanced 2016 Paper 1 Question Paper with Answers

Physics — JEE Advanced 2016 Paper 1

Chemistry — JEE Advanced 2016 Paper 1

Mathematics — JEE Advanced 2016 Paper 1

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