JEE Main 11 January 2019 Shift 2 Question Paper

Question 1

$\displaystyle\lim_{x	o 0}\frac{x\cot(4x)}{\sin^{2}x\cot^{2}(2x)}$ is equal to:

Accepted Answer

(D) 1

Answer

(A) 0

Answer

(B) 2

Answer

(C) 4

Question 2

All x satisfying the inequality $\left(\cot^{-1}x\right)^{2}-7\left(\cot^{-1}x\right)+10>0$, lie in the interval:

Accepted Answer

(B) $(\cot 2,\infty)$

Answer

(A) $(-\infty,\cot 5)\cup(\cot 4,\cot 2)$

Answer

(C) $(-\infty,\cot 5)\cup(\cot 2,\infty)$

Answer

(D) $(\cot 5,\cot 4)$

Question 3

If a hyperbola has length of its conjugate axis equal to 5 and the distance between its foci is 13, then the eccentricity of the hyperbola is:

Accepted Answer

(A) $\dfrac{13}{12}$

Answer

(B) 2

Answer

(C) $\dfrac{13}{6}$

Answer

(D) $\dfrac{13}{8}$

Question 4

If the area of the triangle whose one vertex is at the vertex of the parabola, $y^{2}+4\left(x-a^{2}\right)=0$ and the other two vertices are the points of intersection of the parabola and y – axis, is 250 sq. units, then a value of ‘a’ is:

Accepted Answer

(D) 5

Answer

(A) $5\sqrt{5}$

Answer

(B) $5\left(2^{1/3}\right)$

Answer

(C) $(10)^{2/3}$

Question 5

Two lines $\dfrac{x-3}{1}=\dfrac{y+1}{3}=\dfrac{z-6}{-1}$ and $\dfrac{x+5}{7}=\dfrac{y-2}{-6}=\dfrac{z-3}{4}$ intersect at the point R. The reflection f R in the xy – plane has coordinates:

Accepted Answer

(A) (2, –4, –7)

Answer

(B) (2, 4, 7)

Answer

(C) (2, –4, 7)

Answer

(D) (–2, 4, 7)

Question 6

Contrapositive of the statement “If two numbers are not equal, then their squares are not equals” is:

Accepted Answer

(C) If the squares of two numbers are equal, then the numbers are equal

Answer

(A) If the squares of two numbers are not equal, then the numbers are equal

Answer

(B) If the squares of two numbers are equal, then the numbers are not equal

Answer

(D) If the squares of two numbers are not equal, then the numbers are not equal

Question 7

If in a parallelogram ABDC, the coordinates of A, B and C are respectively (1, 2), (3, 4) and (2, 5), then the equation of the diagonal AD is:

Accepted Answer

(A) $5x-3y+1=0$

Answer

(B) $5x+3y-11=0$

Answer

(C) $3x-5y+7=0$

Answer

(D) $3x+5y-13=0$

Question 8

Let x, y be positive real numbers and m, n positive integers. The maximum value of the expression $\dfrac{x^{m}y^{n}}{\left(1+x^{2m}\right)\left(1+y^{2n}\right)}$ is:

Accepted Answer

(C) $\dfrac{1}{4}$

Answer

(A) 1

Answer

(B) $\dfrac{1}{2}$

Answer

(D) $\dfrac{m+n}{6mn}$

Question 9

Let $S_{n}=1+q+q^{2}+\ldots+q^{n}$ and $T_{n}=1+\left(\dfrac{q+1}{2}ight)+\left(\dfrac{q+1}{2}ight)^{2}+\ldots+\left(\dfrac{q+1}{2}ight)^{n}$ where q is a real number and $q
eq 1$. If ${}^{101}C_{1}+{}^{101}C_{2}\cdot S_{1}+\ldots+{}^{101}C_{101}\cdot S_{100}=\alpha T_{100}$ then α is equal to:

Accepted Answer

(D) $2^{100}$

Answer

(A) $2^{99}$

Answer

(B) 202

Answer

(C) 200

Question 10

Let α and β be the roots of the quadratic equation $x^{2}\sin	heta-x\left(\sin	heta\cos	heta+1ight)+\cos	heta=0\;\left(0<	heta<45^{0}ight)$, and α < β. Then $\displaystyle\sum_{n=0}^{\infty}\left(\alpha^{n}+\dfrac{(-1)^{n}}{\beta^{n}}ight)$ is equal to:

Accepted Answer

(C) $\dfrac{1}{1-\cos	heta}+\dfrac{1}{1+\sin	heta}$

Answer

(A) $\dfrac{1}{1-\cos	heta}-\dfrac{1}{1+\sin	heta}$

Answer

(B) $\dfrac{1}{1+\cos	heta}+\dfrac{1}{1-\sin	heta}$

Answer

(D) $\dfrac{1}{1+\cos	heta}-\dfrac{1}{1-\sin	heta}$

Question 11

A bag contains 30 white balls and 10 red balls. 16 balls are drawn one by one randomly from the bag with replacement. If X be the number of white balls drawn, then $\left(\dfrac{	ext{mean of }X}{	ext{standard deviation of }X}ight)$ is equal to:

Accepted Answer

(B) $4\sqrt{3}$

Answer

(A) 4

Answer

(C) $3\sqrt{2}$

Answer

(D) $\dfrac{4\sqrt{3}}{3}$

Question 12

Let z be a complex number such that $|z|+z=3+i$ (where $i=\sqrt{-1}$). Then $|z|$ is equal to:

Accepted Answer

(B) $\dfrac{5}{3}$

Answer

(A) $\dfrac{\sqrt{34}}{3}$

Answer

(C) $\dfrac{\sqrt{41}}{4}$

Answer

(D) $\dfrac{5}{4}$

Question 13

If $19^{th}$ terms of non – zero A.P. is zero, then its ($49^{th}$ term) : ($29^{th}$ term) is:

Accepted Answer

(C) 3:1

Answer

(A) 4:1

Answer

(B) 1:3

Answer

(D) 2:1

Question 14

If $\int \frac{x+1}{\sqrt{2x-1}}dx=f(x)\sqrt{2x-1}+C$, where C is a constant of integration of integration, then f(x) is equal to:

Accepted Answer

(D) $\frac{1}{3}(x+4)$

Answer

(A) $\frac{1}{3}(x+1)$

Answer

(B) $\frac{2}{3}(x+2)$

Answer

(C) $\frac{2}{3}(x-4)$

Question 15

Let K be the set of all real values of x where the function $f(x)=\sin|x|-|x|+2(x-\pi)\cos|x|$ is not differentiable. Then the set K is equal to:

Accepted Answer

(A) $\phi$ (en empty set)

Answer

(B) $\{\pi\}$

Answer

(C) $\{0\}$

Answer

(D) $\{0,\pi\}$

Question 16

The area (in sq. units) in the first quadrant bounded by the parabola, $y=x^{2}+1$, the tangent to it at the point (2, 5) and the coordinate axes is:

Accepted Answer

(B) $\frac{37}{24}$

Answer

(A) $\frac{8}{3}$

Answer

(C) $\frac{187}{24}$

Answer

(D) $\frac{14}{3}$

Question 17

Given $\dfrac{b+c}{11}=\dfrac{c+a}{12}=\dfrac{a+b}{13}$ for a ΔABC with usual nation. If $\dfrac{\cos A}{\alpha}=\dfrac{\cos\beta}{\beta}=\dfrac{\cos C}{\gamma}$, then the ordered tried (α, β, γ) has a value:

Accepted Answer

(A) (7, 19, 25)

Answer

(B) (3, 4, 5)

Answer

(C) (5, 12, 13)

Answer

(D) (19, 7, 25)

Question 18

The solution of the differential equation $\frac{dy}{dx}=(x-y)^{2}$ when y(1) = 1, is:

Accepted Answer

(B) $-\log_e\left|\frac{1-x+y}{1+x-y}\right|=2(x-1)$

Answer

(A) $\log_e\left|\frac{2-x}{2-y}\right|=x-y$

Answer

(C) $-\log_e\left|\frac{1+x-y}{1-x+y}\right|=x+y-2$

Answer

(D) $\log_e\left|\frac{2-y}{2-x}\right|=2(y-1)$

Question 19

let S = {1, 2, … 20}. A subset B of S is said to be “nice”, if the sum of the elements of B is 203. Then the probability that a randomly chosen subset of S is ‘nice’ is:

Accepted Answer

(B) $\frac{5}{2^{20}}$

Answer

(A) $\frac{7}{2^{20}}$

Answer

(C) $\frac{4}{2^{20}}$

Answer

(D) $\frac{6}{2^{20}}$

Question 20

If the point (2, α, β) lies on the plane which passes through the points (3, 4, 2) and (7, 0, 6) and is perpendicular to the plane $2x-5y=15$, then $2\alpha-3\beta$ is equal to:

Accepted Answer

(B) 7

Answer

(A) 12

Answer

(C) 5

Answer

(D) 17

Question 21

Let $(x+10)^{50}+(x-10)^{50}=a_0+a_1x+a_2x^{2}+...+a_{50}x^{50}$, for $x\in R$; then $\frac{a_2}{a_0}$ is equal to:

Accepted Answer

(C) 12.25

Answer

(A) 12.50

Answer

(B) 12.00

Answer

(D) 12.75

Question 22

A circle cuts a chord of length 4a on the x – axis and passes through a point on the y – axis, distant 2b from the origin. Then the locus of the center of this circle, is:

Accepted Answer

(D) a parabola

Answer

(A) a hyperbola

Answer

(B) an ellipse

Answer

(C) a straight line

Question 23

Let $f(x)=\frac{x}{\sqrt{a^{2}+x^{2}}}-\frac{d-x}{\sqrt{b^{2}+(d-x)^{2}}}, r\in R f$, where a, b and d are non – zero real constant. Then:

Accepted Answer

(A) f is an increasing function of x

Answer

(B) f is a decreasing function of x

Answer

(C) f is not a continuous function of x

Answer

(D) f is neither increasing nor decreasing function of x

Question 24

Let A and B be two invertible matrices of order $3	imes 3$. If $\det(ABA^{T})=8$ and $\det(AB^{-1})=8$, then $\det(BA^{-1}B^{T})$ is equal to:

Accepted Answer

(C) $\frac{1}{16}$

Answer

(A) $\frac{1}{4}$

Answer

(B) 1

Answer

(D) 16

Question 25

A particle moves from the point $(2.0\hat{i}+4.0\hat{j})$m, at t = 0 with an initial velocity $(5.0\hat{i}+4.0\hat{j})$ ms$^{-1}$. It is acted upon by a constant force which produces a constant acceleration $(4.0\hat{i}+4.0\hat{j})$ ms$^{-2}$. What is the distance of the particle from the origin at time 2s?

Accepted Answer

(B) $20\sqrt{2}$ m

Answer

(A) 15m

Answer

(C) 5m

Answer

(D) $10\sqrt{2}$ m

Question 26

A thermometer graduated according to a linear scale reads a value x$_0$ when in contact with boiling water, and x$_0$/3 when in contact with ice. What is the temperature of an object in °C, if this thermometer in the contact with the object reads x$_0$/2?

Accepted Answer

(A) 25

Answer

(B) 60

Answer

(C) 40

Answer

(D) 45

Question 27

A galvanometer having a resistance of 20 Ω and 30 divisions on both sides has figure of merit 0.005 ampere /division. The resistance that should be connected in series such that it can be used as a voltmeter upto 15 volt is:

Accepted Answer

(C) 80 Ω

Answer

(A) 100 Ω

Answer

(B) 120 Ω

Answer

(D) 125 Ω

Question 28

In the experimental setup of metre bridge shown in the figure, the null point is obtained at a distance of 40cm from A. If a 10Ω resistor is connected in series with R$_1$, the null point shifts by 10cm. The resistance that should be connected in parallel with (R$_1$ + 10)Ω such that the null point shifts back to its initial position is:

Accepted Answer

(C) 60Ω

Answer

(A) 20Ω

Answer

(B) 40Ω

Answer

(D) 30Ω

Question 29

A circular disc D$_1$ of mass M and radius R has two identical discs D$_2$ and D$_3$ of the same mass M and radius R attached rigidly as its opposite ends (see figure). The moment of inertia of the system about the axis OO', passing through the centre of D$_1$ as shown in the figure, will :

Accepted Answer

(B) 3MR$^{2}$

Answer

(A) MR$^{2}$

Answer

(C) $\frac{4}{5}$MR$^{2}$

Answer

(D) $\frac{2}{3}$MR$^{2}$

Question 30

The magnitude of torque on a particle of mass 1kg is 2.5 Nm about the origin. If the force acting on it is 1N, and the distance of the particle from the origin is 5m, the angle between the force and the position vector is (in radians):

Accepted Answer

(A) $\frac{\pi}{6}$

Answer

(B) $\frac{\pi}{3}$

Answer

(C) $\frac{\pi}{8}$

Answer

(D) $\frac{\pi}{4}$

Question 31

A copper wire is wound on a wooden frame, whose shape is that of an equilateral triangle. If the linear dimension of each side of the frame is increased by a factor of 3, keeping the number of turns of the coil per unit length of the frame the same, then self inductance of the coil:

Accepted Answer

(C) increases by a factor of 3

Answer

(A) decreases by a factor of 9

Answer

(B) increases by a factor of 27

Answer

(D) decreases by a factor of $9\sqrt{3}$

Question 32

A particle of mass m is moving in a straight line with momentum p. Starting at time t = 0, a force F = kt acts in the same direction on the moving particle during time interval T so that its momentum changes from p to 3p. Here k is a constant. The value of T is:

Accepted Answer

(B) $2\sqrt{\frac{p}{k}}$

Answer

(A) $2\sqrt{\frac{k}{p}}$

Answer

(C) $\sqrt{\frac{2k}{p}}$

Answer

(D) $\sqrt{\frac{2p}{k}}$

Question 33

An electric field of 1000V/m is applied to an electric dipole at angle of 45°. The value of electric dipole moment is 10$^{-29}$ C.m. What is the potential energy of the electric dipole?

Accepted Answer

(B) $-7	imes10^{-27}$ J

Answer

(A) $-20	imes10^{18}$ J

Answer

(C) $-10	imes10^{-29}$ J

Answer

(D) $-9	imes10^{-20}$ J

Question 34

A metal bal of mass 0.1 kg is heated upto 500$^{\circ}$C and dropped into a vessel of heat capacity 800 JK$^{-1}$ and containing 0.5 kg water. The initial temperature of water and vessel is 30$^{\circ}$C. What is the approximate percentage increment in the temperature of the water? [Specific heat Capacities of water and metal are, respectively 4200 Jkg$^{-1}$K$^{-1}$ and 400 jkg$^{-1}$K$^{-1}$]

Accepted Answer

(D) 20%

Answer

(A) 15%

Answer

(B) 30%

Answer

(C) 25%

Question 35

A pendulum is executing simple harmonic motion and its maximum kinetic energy is K$_1$. If the length of the pendulum is doubled and it performs simple harmonic motion with the same amplitude as in the first case, its maximum kinetic energy is K$_2$ then:

Accepted Answer

(A) K$_2$ = 2K$_1$

Answer

(B) K$_2$ = $\frac{K_1}{2}$

Answer

(C) K$_2$ = $\frac{K_1}{4}$

Answer

(D) K$_2$ = K$_1$

Question 36

Two rods A and B of identical dimensions are at temperature $30^{\circ}	ext{C}$. If a heated upto $180^{\circ}	ext{C}$ and B upto $	ext{T}^{\circ}	ext{C}$, then the new lengths are the same. If the ratio of the coefficients of linear expansion of A and B is 4:3, then the value of T is:

Accepted Answer

(A) $230^{\circ}	ext{C}$

Answer

(B) $270^{\circ}	ext{C}$

Answer

(C) $200^{\circ}	ext{C}$

Answer

(D) $250^{\circ}	ext{C}$

Question 37

If speed (V), acceleration (A) and force (F) are considered as fundamental units, the dimension of Young's modulus will be:

Accepted Answer

(D) $V^{-4}A^{2}F$

Answer

(A) $V^{-2}A^{2}F^{-2}$

Answer

(B) $V^{-2}A^{2}F^{2}$

Answer

(C) $V^{-4}A^{-2}F$

Question 38

A string is wound around a hollow cylinder of mass 5 kg and radius 0.5m. If the string is now pulled with a horizontal force of 40 N, and the cylinder is rolling without slipping on a horizontal surface (see figure), then the angular acceleration of the cylinder will be (Neglect the mass and thickness of the string)

Accepted Answer

(B) $16	ext{ rad/s}^{2}$

Answer

(A) $20	ext{ rad/s}^{2}$

Answer

(C) $12	ext{ rad/s}^{2}$

Answer

(D) $10	ext{ rad/s}^{2}$

Question 39

A 27 mW lager beam has a cross-sectional area of 10 mm$^{2}$. The magnitude of the maximum electric field in this electromagnetic wave is given by: [Given permittivity of space $\epsilon_{0}=9	imes10^{-12}$ SI units, speed of light $c=3	imes10^{8}$ m/s]

Accepted Answer

(D) 1.4 kV/m

Answer

(A) 2 kV/m

Answer

(B) 0.7 kV/m

Answer

(C) 1 kV/m

Question 40

In the circuit shown, the potential difference between A and B is:

Accepted Answer

(B) 2 V

Answer

(A) 1 V

Answer

(C) 3 V

Answer

(D) 6 V

Question 41

The mass and the diameter of a planet are three times the respective values for the Earth. The period of oscillation of a simple pendulum on the Earth is 2s. The period of oscillation of the same pendulum on the planet would be:

Accepted Answer

(D) $2\sqrt{3}$ s

Answer

(A) $\frac{\sqrt{3}}{2}$ s

Answer

(B) $\frac{2}{\sqrt{3}}$ s

Answer

(C) $\frac{3}{2}$ s

Question 42

An amplitude modulated signal is plotted below: Which one of the following best described the above signal?

Accepted Answer

(C) $(9+\sin(2\pi	imes10^{4}t))\sin(2.5\pi	imes10^{5}t)$ V

Answer

(A) $(9+\sin(2.5\pi	imes10^{5}t))\sin(2\pi+10^{4}t)$ V

Answer

(B) $(1+9\sin(2\pi	imes10^{4}t))\sin(2.5\pi	imes10^{5}t)$ V

Answer

(D) $(9+\sin(4\pi	imes10^{4}t))\sin(5\pi	imes10^{5}t)$ V

Question 43

In a process, temperature and volume of one mole of an ideal monoatomic gas are varied according to the relation VT = K, where I is a constant. In this process the temperature of the gas is increased by $\Delta T$. The amount of heat absorbed by gas is (R is gas constant)

Accepted Answer

(A) $\frac{1}{2}R\Delta T$

Answer

(B) $\frac{1}{2}KR\Delta T$

Answer

(C) $\frac{3}{2}R\Delta T$

Answer

(D) $\frac{2K}{3}\Delta T$

Question 44

When 100g of a liquid A at 100°C is added to 50g of a liquid B at temperature 75°C, the temperature of the mixture becomes 90°C. The temperature of the mixture, if 100g of liquid A at 100°C is added to 50g of liquid B at 50°C, will be:

Accepted Answer

(C) 80°C

Answer

(A) 85°C

Answer

(B) 60°C

Answer

(D) 70°C

Question 45

In a hydrogen like atom, when an electron jumps from the M-shell to the L-shell the wavelength of emitted radiation is $\lambda$. If an electron jumps from N-shell to the L-shell the wavelength of emitted radiation will be:

Accepted Answer

(D) $\frac{20}{27}\lambda$

Answer

(A) $\frac{27}{20}\lambda$

Answer

(B) $\frac{16}{25}\lambda$

Answer

(C) $\frac{25}{16}\lambda$

Question 46

A monochromatic light is incident at a certain angle on an equilateral triangular prism and suffers minimum deviation. If the refractive index of the material of the prism is $\sqrt{3}$, then the angle of incidence

Accepted Answer

(C) $60^{\circ}$

Answer

(A) $90^{\circ}$

Answer

(B) $30^{\circ}$

Answer

(D) $45^{\circ}$

Question 47

In a double – slit experiment, green light (5303 Å) falls on a double slit having a separation of 19.44 μm and a width of 4.05μm. The number of bright fringes between the first and the second diffraction minima is:

Accepted Answer

(B) 05

Answer

(A) 10

Answer

(C) 04

Answer

(D) 09

Question 48

Seven capacitors, each of the capacitance 2μF, are to be connected in a configuration to obtain an effective capacitance of $\left(\frac{6}{13}\right)$ μF. Which of the combinations, shown in figures below, will achieve the desired value?

Accepted Answer

(B) (B)

Answer

(A) (A)

Answer

(C) (C)

Answer

(D) (D)

Question 49

A particle of mass m and charge q is in an electric and magnetic field given by: $\vec{E}=2\hat{i}+3\hat{j}; B=4\hat{j}+6\hat{k}$ The charged particle is shifted from the origin to the point P(x = 1; y = 1) along a straight path. The magnitude of the total work done is:

Accepted Answer

(B) 5q

Answer

(A) (0.35)q

Answer

(C) (2.5)q

Answer

(D) (0.15)q

Question 50

In a photoelectric experiment, the wavelength of the light incident on a metal is changed from 300 nm to 400 nm. The decrease in the stopping potential is close to $\left(\frac{hc}{e}=1240	ext{ nm}-	ext{V}ight)$

Accepted Answer

(C) 1.0 V

Answer

(A) 0.5 V

Answer

(B) 1.5 V

Answer

(D) 2.0 V

Question 51

The reaction: $MgO(s) + C(s) \rightarrow Mg(s) + CO(g)$, for which $\Delta_{r}H^{0} = +491.1$ kJ mol$^{-1}$ and $\Delta_{r}S^{0} = 198.0$ JK$^{-1}$ mol$^{-1}$ is not feasible at 298 K. Temperature above which reaction will be feasible is:

Accepted Answer

(C) 2480. K

Answer

(A) 2040.5 K

Answer

(B) 1890.0K

Answer

(D) 2380.K

Question 52

The correct match between Item I and Item II is

Accepted Answer

(A) A → R, B → P, C → Q, D → S

Answer

(B) A → P, B → R, C → Q, D → S

Answer

(C) A → R, B → P, C → S, D → Q

Answer

(D) A → P, B → R, C → S, D → Q

Question 53

The coordination number of Th in $K_{4}[Th(C_{2}O_{4})_{4}(OH_{2})_{2}]$ is: $(C_{2}O_{4}^{2-} = 	ext{Oxalato})$

Accepted Answer

(D) 10

Answer

(A) 14

Answer

(B) 6

Answer

(C) 8

Question 54

The standard reaction Gibbs energy for a chemical reaction at an absolute temperature T is given by $\Delta_{r}G^{0} = A - BT$ Where A and B are non-zero constant. Which of the following is TRUE about this reaction?

Accepted Answer

(A) Endothermic if A > 0

Answer

(B) Exothermic if A > 0 and B < 0

Answer

(C) Endothermic if A < 0 and B > 0

Answer

(D) Exothermic if B < 0

Question 55

The hydride that is NOT electron deficient is:

Accepted Answer

(A) $SiH_{4}$

Answer

(B) $B_{2}H_{6}$

Answer

(C) $GaH_{3}$

Answer

(D) $AlH_{3}$

Question 56

Given the equilibrium constant: $K_{C}$ of the reaction: $Cu(s) + 2Ag^{+}(aq) ightarrow Cu^{2+}(aq) + 2Ag(s)$ is $10 	imes 10^{15}$, calculate the $E^{	heta}_{cell}$ of the reaction of 298 K $\left[2.303\dfrac{RT}{F} 	ext{ at } 298K = 0.059Vight]$

Accepted Answer

(C) 0.4736 V

Answer

(A) 0.04736 mV

Answer

(B) 0.4736 mV

Answer

(D) 0.04736 V

Question 57

The correct option with respect to the Pauling electronegativity values of the elements is:

Accepted Answer

(C) Si > Al

Answer

(A) Te > Xe

Answer

(B) Ga > Ge

Answer

(D) P > S

Question 58

Which of the following compounds will produce a precipitate with $AgNO_{3}$?

Accepted Answer

(B) (B)

Answer

(A) (A)

Answer

(C) (C)

Answer

(D) (D)

Question 59

The de Broglie wavelength ($\lambda$) associated with a photoelectron varies with the frequency ($
u$) of the incident radiation as, [$
u_{0}$ is threshold frequency]:

Accepted Answer

(D) $\lambda \propto \dfrac{1}{(
u - 
u_{0})^{1/2}}$

Answer

(A) $\lambda \propto \dfrac{1}{(
u - 
u_{0})}$

Answer

(B) $\lambda \propto \dfrac{1}{(
u - 
u_{0})^{1/4}}$

Answer

(C) $\lambda \propto \dfrac{1}{(
u - 
u_{0})^{3/2}}$

Question 60

In the following compound, the favourable site/s for protonation is/are

Accepted Answer

(B) b, c and d

Answer

(A) a and e

Answer

(C) a and d

Answer

(D) a

Question 61

Taj Mahal is being slowly disfigured and discoloured. This is primarily due to:

Accepted Answer

(B) acid rain

Answer

(A) global warming

Answer

(C) water pollution

Answer

(D) soil pollution

Question 62

The relative stability of +1 oxidation state of group 13 elements follows the order:

Accepted Answer

(D) Al < Ga < In < Tl

Answer

(A) Al < Ga < Tl < In

Answer

(B) Tl < In < Ga < Al

Answer

(C) Ga < Al < In < Tl

Question 63

For the equilibrium
2H$_2$O $\rightleftharpoons$ H$_3$O$^+$ + OH$^-$, the value of $\Delta G^0$ at 298 K is approximately:

Accepted Answer

(C) 80 kJ mol$^{-1}$

Answer

(A) 100 kJ mol$^{-1}$

Answer

(B) $-$80 kJ mol$^{-1}$

Answer

(D) $-$100 kJ mol$^{-1}$

Question 64

The reaction that does NOT define calcinations is:

Accepted Answer

(B) 2Cu$_2$S + 3O$_2$ $\rightarrow$ 2Cu$_2$O + 2SO$_2$

Answer

(A) Fe$_2$O$_3$.XH$_2$O $\xrightarrow{\Delta}$ Fe$_2$O$_3$ + XH$_2$O

Answer

(C) ZnCO$_3$ $\xrightarrow{\Delta}$ ZnO + CO$_2$

Answer

(D) CaCO$_3$.MgCO$_3$ $\xrightarrow{\Delta}$ CaO + MgO + 2CO$_2$

Item I	Item II
A.Allosteric effect	P.Molecule binding to the active site of enzyme
B.Competitive inhibitor	Q.Molecule crucial for communication in the body
C.Receptor	R.Molecule binding to a site other than the active site of enzyme
D.Poison	S.Molecule binding to the enzyme covalently

Column I	Column II
I.Na $_2$ CO $_3$ . 10 H $_2$ O	A.Portland cement ingredient
II.Mg (HCO $_3$ ) $_2$	B.Castner \u2013 Kellner process
III.NaOH	C.Solvay process
IV.Ca $_3$ Al $_2$ O $_6$	D.Temporary hardness

Item I	Item II
A.Ester test	P.Tyr
B.Carbylamine test	Q.Asp
C.Phthalein dye test	R.Ser
	S.Lys

JEE Main 11 January 2019 Shift 2 Question Paper with Answers

Physics — JEE Main 11 January 2019 Shift 2

Chemistry — JEE Main 11 January 2019 Shift 2

Mathematics — JEE Main 11 January 2019 Shift 2

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