JEE Main 9 January 2019 Shift 2 Question Paper

Question 1

The sum of the following series $1+6+\frac{9(1^{2}+2^{2}+3^{2})}{7}+\frac{12(1^{2}+2^{2}+3^{2}+4^{2})}{9}+\frac{15(1^{2}+2^{2}+....+5^{2})}{11}+...$ up to 15 terms, is:

Accepted Answer

(A) 7820

Answer

(B) 7830

Answer

(C) 7520

Answer

(D) 7510

Question 2

Let $f:[0,1]ightarrow R$ be such that $f(xy)=f(x)f(y)$ for all $x,y\in[0,1]$, and $f(0)
eq 0$. If $y=y(x)$ satisfies the differential equation, $\frac{dy}{dx}=f(x)$ with $y(0)=1$, then $y\left(\frac{1}{4}ight)+y\left(\frac{3}{4}ight)$ is equal to

Accepted Answer

(B) 3

Answer

(A) 4

Answer

(C) 5

Answer

(D) 2

Question 3

If $x=\sin^{-1}(\sin 10)$ and $y=\cos^{-1}(\cos 10)$, then $y-x$ is equal to:

Accepted Answer

(A) $\pi$

Answer

(B) $7\pi$

Answer

(C) 0

Answer

(D) 10

Question 4

If $0 \le x < \frac{\pi}{2}$, then the number of values of x for which $\sin x - \sin 2x + \sin 3x = 0$, is

Accepted Answer

(A) $2$

Answer

(B) $1$

Answer

(C) $3$

Answer

(D) $4$

Question 5

Let $z_{0}$ be a root of the quadratic equation, $x^{2}+x+1=0$. If $z=3+6iz_{0}^{81}-3iz_{0}^{93}$, then $\arg z$ is equal to

Accepted Answer

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

Answer

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

Answer

(C) 0

Answer

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

Question 6

The area of the region $A\{(x,y):0\leq y\leq x|x|+1$ and $-1\leq x\leq 1\}$ in sq. units, is:

Accepted Answer

(C) 2

Answer

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

Answer

(B) $\frac{1}{3}$

Answer

(D) $\frac{4}{3}$

Question 7

If the system of linear equation $x-4y+7z=g, 3y-5z=h, -2x+5y-9z=k$ is consistent, then:

Accepted Answer

(B) $2g+h+k=0$

Answer

(A) $g+h+k=0$

Answer

(C) $g+h+2k=0$

Answer

(D) $g+2h+k=0$

Question 8

The coefficient of $t^{4}$ in the expansion of $\left(\frac{1-t^{6}}{1-t}\right)^{3}$ is

Accepted Answer

(B) 15

Answer

(A) 12

Answer

(C) 10

Answer

(D) 14

Question 9

Let S be the set of all triangle in the xy $-$ plane, each having one vertex at the origin and the other two vertices lie on coordinate axes with integral coordinates. If each triangle in S has area 50 sq. units, then the number of elements in the set S is:

Accepted Answer

(D) 36

Answer

(A) 9

Answer

(B) 18

Answer

(C) 32

Question 10

Let a, b and c be the $7^{th}$, $11^{th}$ and $13^{th}$ terms respectively of a non $-$ constant A.P. If these are also the three consecutive terms of a G.P. then $\frac{a}{c}$ is equal to:

Accepted Answer

(B) 4

Answer

(A) $\frac{1}{2}$

Answer

(C) 2

Answer

(D) $\frac{7}{13}$

Question 11

The equation of the plane containing the straight line $\frac{x}{2} = \frac{y}{3} = \frac{z}{4}$ and perpendicular to the plane containing the straight lines $\frac{x}{3} = \frac{y}{4} = \frac{z}{2}$ and $\frac{x}{4} = \frac{y}{2} = \frac{z}{3}$ is:

Accepted Answer

(B) $x - 2y + z = 0$

Answer

(A) $x + 2y - 2z = 0$

Answer

(C) $5x + 2y - 4z = 0$

Answer

(D) $3x + 2y - 3z = 0$

Question 12

A data consists of n observations: $x_{1},x_{2},......,x_{n}$. If $\displaystyle\sum_{i=1}^{n}(x_{i}+1)^{2}=9n$ and $\displaystyle\sum_{i=1}^{n}(x_{i}-1)^{2}=5n$, then the standard deviation of this data is:

Accepted Answer

(B) $\sqrt{5}$

Answer

(A) 5

Answer

(C) $\sqrt{7}$

Answer

(D) 2

Question 13

If $A = \begin{bmatrix} e^{t} & e^{-t}\cos t & e^{-t}\sin t \ e^{t} & -e^{-t}\cos t - e^{-t}\sin t & -e^{-t}\sin t + e^{-t}\cos t \ e^{t} & 2e^{-t}\sin t & -2e^{-t}\cos t \end{bmatrix}$ Then A is

Accepted Answer

(C) invertible for all $t \in R$

Answer

(A) Invertible only if $t = \frac{\pi}{2}$

Answer

(B) not invertible for any $t \in R$

Answer

(D) invertible only if $t = \pi$

Question 14

If $f(x) = \int \frac{5x^{8} + 7x^{6}}{\left(x^{2} + 1 + 2x^{7}\right)^{2}} dx, (x \ge 0)$ and $f(0) = 0$, then the value of $f(1)$ is:

Accepted Answer

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

Answer

(A) $-\frac{1}{2}$

Answer

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

Answer

(C) $-\frac{1}{4}$

Question 15

Let f be a differentiable function R to R such that $\left| f(x) - f(y) \right| \le 2\left| x - y \right|^{\frac{3}{2}}$, for all $x, y \in R$. If $f(0) = 1$ then $\int_{0}^{1} f^{2}(x) dx$ is equal to

Accepted Answer

(D) $1$

Answer

(A) $0$

Answer

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

Answer

(C) $2$

Question 16

If $x = 3	an t$ and $y = 3\sec t$, then the value of $\frac{d^{2}y}{dx^{2}}$ at $t = \frac{\pi}{4}$, is:

Accepted Answer

(D) $\frac{1}{6\sqrt{2}}$

Answer

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

Answer

(B) $\frac{1}{3\sqrt{2}}$

Answer

(C) $\frac{1}{6}$

Question 17

The number of natural numbers less than 7,000 which can be formed by using the digits 0, 1, 3, 7, 9 (repetition of digits allowed) is equal to:

Accepted Answer

(B) 374

Answer

(A) 250

Answer

(C) 372

Answer

(D) 375

Question 18

If the circles $x^{2} + y^{2} - 16x - 20y + 164 = r^{2}$ and $(x-4)^{2} + (y-7)^{2} = 36$ intersect at two distinct points, then:

Accepted Answer

(B) $1 < r < 11$

Answer

(A) $0 < r < 1$

Answer

(C) $r > 11$

Answer

(D) $r = 11$

Question 19

A hyperbola has its centre at the origin, passes through the point (4, 2) and has transverse axis of length 4 along the x - axis. Then the eccentricity of the hyperbola is:

Accepted Answer

(A) $\dfrac{2}{\sqrt{3}}$

Answer

(B) $\dfrac{3}{2}$

Answer

(C) $\sqrt{3}$

Answer

(D) 2

Question 20

Let $A(4, -4)$ and $B(9, 6)$ be points on the parabola $y^{2} = 4x$. Let C be chosen on the arc AOB of the parabola, where O is the origin, such that the area of $	riangle ACB$ is maximum. Then, the area (in sq. units) of $	riangle ACB$, is:

Accepted Answer

(D) $31\dfrac{1}{4}$

Answer

(A) $31\dfrac{3}{4}$

Answer

(B) 32

Answer

(C) $30\dfrac{1}{2}$

Question 21

Let the equation of two sides of a triangle be $3x - 2y + 6 = 0$ and $4x + 5y - 20 = 0$. If the orthocentre of this triangle is at (1, 1), then the equation of its third side is:

Accepted Answer

(D) $26x - 122y - 1675 = 0$

Answer

(A) $122y - 26x - 1675 = 0$

Answer

(B) $26x + 61y + 1675 = 0$

Answer

(C) $122y + 26x + 1675 = 0$

Question 22

An urn contains 5 red and 2 green balls. A ball is drawn at random from the urn. If the drawn ball is green, then a red ball is added to the urn and if the drawn ball is red, then a green ball is added to the urn; the original ball is not returned to the urn. Now, a second ball is drawn at random from it. The probability that the second ball is red, is:

Accepted Answer

(B) $\dfrac{32}{49}$

Answer

(A) $\dfrac{26}{49}$

Answer

(C) $\dfrac{27}{49}$

Answer

(D) $\dfrac{21}{49}$

Question 23

If the lines $x = ay + b, z = cy + d$ and $x = a'z + b', y = c'z + d'$ are perpendicular, then:

Accepted Answer

(B) $aa' + c + c' = 0$

Answer

(A) $cc' + a + a' = 0$

Answer

(C) $ab' + bc' + 1 = 0$

Answer

(D) $bb' + cc' + 1 = 0$

Question 24

Let $\vec{a} = \hat{i} + \hat{j} + \sqrt{2}\hat{k}, \vec{b} = b_{1}\hat{i} + b_{2}\hat{j} + \sqrt{2}\hat{k}$ and $\vec{c} = 5\hat{i} + \hat{j} + \sqrt{2}\hat{k}$ be three vectors such that the projection vector of $\vec{b}$ on $\vec{a}$ is $\vec{a}$. If $\vec{a} + \vec{b}$ is perpendicular to $\vec{c}$, then $\left| \vec{b} \right|$ is equal to:

Accepted Answer

(D) $6$

Answer

(A) $\sqrt{22}$

Answer

(B) $4$

Answer

(C) $\sqrt{32}$

Question 25

The number of all possible positive integral values of $\alpha$ for which the roots of the quadratic equation, $6x^{2} - 11x + \alpha = 0$ are rational numbers is:

Accepted Answer

(C) 3

Answer

(A) 2

Answer

(B) 5

Answer

(D) 4

Question 26

Let $A = \{x \in R : x 	ext{ is not a positive integer}\}$. Define a function $f : A ightarrow R$ as $f(x) = \frac{2x}{x - 1}$ then f is

Accepted Answer

(A) injective but nor surjective

Answer

(B) not injective

Answer

(C) surjective but not injective

Answer

(D) neither injective nor surjective

Question 27

If $\int_{0}^{\frac{\pi}{3}} \frac{	an	heta}{\sqrt{2k\sec	heta}} d	heta = 1 - \frac{1}{\sqrt{2}}, (k > 0)$, then the value of k is:

Accepted Answer

(A) $2$

Answer

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

Answer

(C) $4$

Answer

(D) $1$

Question 28

At a given instant, say t = 0, two radioactive substances A and B have equal activates. The ratio $\frac{R_B}{R_A}$ of their activities. The ratio $\frac{R_B}{R_A}$ of their activates after time t itself decays with time t as $e^{-3t}$. If the half-life of A is $\ell n2$, the half-life of B is:

Accepted Answer

(C) $\frac{\ell n2}{4}$

Answer

(A) $4\ell n2$

Answer

(B) $\frac{\ell n2}{2}$

Answer

(D) $2\ell n2$

Question 29

A power transmission line feeds input power at 2300 V to a step down transformer with its primary windings having 4000 turns. The output power is delivered at 230 V by the transformer. If the current in the primary of the transformer is 5A and its efficiency is 90%, the output current would be:

Accepted Answer

(B) 45 A

Answer

(A) 50 A

Answer

(C) 35 A

Answer

(D) 25 A

Question 30

The energy associated with electric field is ($U_E$) and with magnetic field is ($U_B$) for an electromagnetic wave in free space. Then:

Accepted Answer

(D) $U_E = U_B$

Answer

(A) $U_E = \frac{U_B}{2}$

Answer

(B) $U_E > U_B$

Answer

(C) $U_E < U_B$

Question 31

A force acts on a 2 kg object so that its position is given as a function of time as $x = 3t^{2} + 5$. What is the work done by this force in first 5 seconds?

Accepted Answer

(D) 900 J

Answer

(A) 850 J

Answer

(B) 950 J

Answer

(C) 875 J

Question 32

A particle having the same charge as of electron moves in a circular path of radius 0.5 cm under the influence of a magnetic field of 0.5 T. If an electric field of 100 V/m makes it to move in a straight path, then the mass of the particle is (given charge of electron $= 1.6 	imes 10^{-19}$ C)

Accepted Answer

(D) $2.0 	imes 10^{-24}$ kg

Answer

(A) $9.1 	imes 10^{-31}$ kg

Answer

(B) $1.6 	imes 10^{-27}$ kg

Answer

(C) $1.6 	imes 10^{-19}$ kg

Question 33

Two point charges $q_1(\sqrt{10}\ \mu C)$ and $q_2(-25\ \mu C)$ are placed on the x-axis at x = 1 m and x = 4 m respectively. The electric field (in V/m) at a point y = 3 m on y-axis is, $\left[	ext{take } \frac{1}{4\pi\varepsilon_0} = 9 	imes 10^{9}\ Nm^{2}C^{-2}ight]$

Accepted Answer

(A) $(63\hat{i} - 27\hat{i}) 	imes 10^{2}$

Answer

(B) $(-63\hat{i} + 27\hat{i}) 	imes 10^{2}$

Answer

(C) $(81\hat{i} - 81\hat{i}) 	imes 10^{2}$

Answer

(D) $(-81\hat{i} + 81\hat{i}) 	imes 10^{2}$

Question 34

Expression for time in terms of G (universal gravitational constant), h (Planck constant) and c (speed of light) is proportional to:

Accepted Answer

(C) $\sqrt{\dfrac{Gh}{c^{5}}}$

Answer

(A) $\sqrt{\dfrac{hc^{5}}{G}}$

Answer

(B) $\sqrt{\dfrac{c^{3}}{Gh}}$

Answer

(D) $\sqrt{\dfrac{Gh}{c^{3}}}$

Question 35

Ge and Si diodes start conducting at 0.3 V and 0.7 V respectively. In the following figure if Ge diode connection are reversed, the value of $V_o$ changes by: (assume that the Ge diode has large breakdown voltage)

Accepted Answer

(D) 0.4 V

Answer

(A) 0.8 V

Answer

(B) 0.6 V

Answer

(C) 0.2 V

Question 36

The top of a water tank is open to air and its water level is maintained. It is giving out $0.74\ m^{3}$ water per minute through a circular opening of 2 cm radius in its wall. The depth of the centre of the opening from the level of water in the tank is close to:

Accepted Answer

(B) 4.8 m

Answer

(A) 6.0 m

Answer

(C) 9.6 m

Answer

(D) 2.9 m

Question 37

The energy required to take a satellite to a height 'h' above Earth surface (radius of Earth $= 6.4 	imes 10^{3}$ km) is $E_1$ and kinetic energy required for the satellite to be in a circular orbit at this height is $E_2$. The value of h for which $E_1$ and $E_2$ are equal is

Accepted Answer

(B) $3.2 	imes 10^{3}$ km

Answer

(A) $1.6 	imes 10^{3}$ km

Answer

(C) $6.4 	imes 10^{3}$ km

Answer

(D) $1.28 	imes 10^{4}$ km

Question 38

Two Carnot engines A and B are operated in series. The first one, A, receives heat at $T_1(= 600$ K$)$ and rejects to a reservoir at temperature $T_2$. The second engine B receives heat rejected by the first engine and, in turns, rejects to a heat reservoir at $T_3 (=400$ K$)$. Calculate the temperature $T_2$ if the work outputs of the two engines are equal:

Accepted Answer

(D) 500 K

Answer

(A) 600 K

Answer

(B) 400 K

Answer

(C) 300 K

Question 39

A series AC circuit containing an inductor (20 mH), a capacitor (120 $\mu F$) and a resistor (60 $\Omega$) is driven by an AC source of 24 V/50 Hz. The energy dissipated in the circuit in 60 s is:

Accepted Answer

(C) $5.17 	imes 10^{2}$ J

Answer

(A) $5.65 	imes 10^{2}$ J

Answer

(B) $2.26 	imes 10^{3}$ J

Answer

(D) $3.39 	imes 10^{3}$ J

Question 40

A particle is executing simple harmonic motion (SHM) of amplitude A, along the x-axis, about x = 0. When its potential energy (PE) equals kinetic energy (KE), the position of the particle will be

Accepted Answer

(C) $\dfrac{A}{\sqrt{2}}$

Answer

(A) $\dfrac{A}{2}$

Answer

(B) $\dfrac{A}{2\sqrt{2}}$

Answer

(D) A

Question 41

A mass of 10 kg is suspended vertically by a rope from the roof. When a horizontal force is applied on the rope at some point, the rope deviated at an angle of 45° at the roof point. If the suspended mass is at equilibrium, the magnitude of the force applied is (g = 10 $ms^{-2}$)

Accepted Answer

(D) 100 N

Answer

(A) 200 N

Answer

(B) 140 N

Answer

(C) 70 N

Question 42

A 15 g mass of nitrogen gas is enclosed in a vessel at a temperature 27°C. Amount of heat transferred to the gas, so that rms velocity of molecules is doubled, is about: [Take R = 8.3 J/K mole]

Accepted Answer

(C) 10 kJ

Answer

(A) 0.9 kJ

Answer

(B) 6 kJ

Answer

(D) 14 kJ

Question 43

In a Young's double slit experiment, the slits are placed 0.320 mm apart. Light of wavelength $\lambda = 500$ nm is incident on the slits. The total number of bright fringes that are observed in the angular range $-30° \leq 	heta \leq 30°$ is:

Accepted Answer

(D) 641

Answer

(A) 640

Answer

(B) 320

Answer

(C) 321

Question 44

Two plane mirrors are inclined to each other such that a ray of light incident to the first mirror (M$_1$) and parallel to the second mirror (M$_2$) is finally reflected from the second mirror (M$_2$) parallel to the first mirror (M$_1$). The angle between the two mirrors will be:

Accepted Answer

(B) 60°

Answer

(A) 45°

Answer

(C) 75°

Answer

(D) 90°

Question 45

A rod of length 50 cm is pivoted at one end. It is raised such that if makes an angle of 30° fro the horizontal as shown and released from rest. Its angular speed when it passes through the horizontal (in rad s$^{-1}$) will be (g = 10 ms$^{-2}$).

Accepted Answer

(B) $\sqrt{30}$

Answer

(A) $\sqrt{\dfrac{30}{2}}$

Answer

(C) $\sqrt{\dfrac{20}{2}}$

Answer

(D) $\dfrac{\sqrt{30}}{2}$

Question 46

A carbon resistance has a following colour code. What is the value of the resistance?

Accepted Answer

(A) 530 kΩ ± 5%

Answer

(B) 5.3 MΩ ± 5%

Answer

(C) 6.4 MΩ ± 5%

Answer

(D) 64 kΩ ± 10%

Question 47

One of the two identical conducing wires of length L is bent in the form of a circular loop and the other one into a circular coil of N identical turns. If the same current is passed in both, the ratio of the magnetic field at the central of the loop (B$_L$) to that at the centre of the coil (B$_C$), i.e. $\dfrac{B_L}{B_C}$ will be

Accepted Answer

(D) $\dfrac{1}{N^{2}}$

Answer

(A) N

Answer

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

Answer

(C) N$^{2}$

Question 48

A rod of mass ‘M’ and length ‘2L’ is suspended at its middle by a wire. It exhibits torsional oscillations; If two masses each of ‘m’ are attached at distance ‘L/2’ from its centre on both sides, it reduces the oscillation frequency by 20%. The value of ratio m/M is close to:

Accepted Answer

(C) 0.37

Answer

(A) 0.77

Answer

(B) 0.57

Answer

(D) 0.17

Question 49

A parallel palate capacitor with square plates is filled with four dielectrics of dielectric constants K$_1$, K$_2$, K$_3$, K$_4$ arranged as shown in the figure. The effective dielectric constant K will be:

Accepted Answer

(A) K = $\dfrac{(K_1+K_3)(K_2+K_4)}{K_1+K_2+K_3+K_4}$

Answer

(B) K = $\dfrac{(K_1+K_2)(K_3+K_4)}{2(K_1+K_2+K_3+K_4)}$

Answer

(C) K = $\dfrac{(K_1+K_2)(K_3+K_4)}{K_1+K_2+K_3+K_4}$

Answer

(D) K = $\dfrac{(K_1+K_4)(K_2+K_3)}{2(K_1+K_2+K_3+K_4)}$

Question 50

The pitch and the number of divisions, on the circular scale, for a given screw gauge are 0.5 mm and 100 respectively. When the screw gauge is fully tightened without any object, the zero of its circular scale lies 3 divisions below the mean line.
The readings of the main scale and the circular scale for a thin sheet, are 5.5 mm and 48 respectively, the thickness of this sheet is

Accepted Answer

(C) 5.725 mm

Answer

(A) 5.755 mm

Answer

(B) 5.950 mm

Answer

(D) 5.740 mm

Question 51

A musician using an open flute of length 50 cm produces second harmonic sound waves. A person runs towards the musician from another end of a hall at a speed of 10 km/h. If the wave speed is 330 m/s, the frequency heard by the running person shall be close to:

Accepted Answer

(A) 666 Hz

Answer

(B) 753 Hz

Answer

(C) 500 Hz

Answer

(D) 333 Hz

Question 52

In a car race on straight road, car A takes a time ‘t’ less than car B at the finish and passes finishing point with a speed ‘v’ more than that of car B. Both the cars start from rest and travel with constant acceleration a$_1$ and a$_2$ respectively. Then ‘v’ is equal to

Accepted Answer

(C) $\sqrt{a_1a_2}\,t$

Answer

(A) $\dfrac{2a_1a_1}{a_1+a_2}\,t$

Answer

(B) $\sqrt{2a_1a_2}\,t$

Answer

(D) $\dfrac{a_1+a_2}{2}\,t$

Question 53

The magnetic field associated with a light wave is given, at the origin, by $B = B_0[\sin(3.14 	imes 10^{7})ct + \sin(6.28 	imes 10^{7})ct]$ If this light falls on a silver plate having a work function of 4.7 eV, what will be the maximum kinetic energy of the photo electrons?

Accepted Answer

(D) 7.72 eV

Answer

(A) 6.82 eV

Answer

(B) 12.5 eV

Answer

(C) 8.52 eV

Question 54

In the given circuit the internal resistance of the 18 V cell is negligible. If R$_1$ = 400 Ω, R$_3$ = 100 Ω and R$_4$ = 500 Ω and the reading of an ideal voltmeter across R$_4$ is 5 V, then the value of R$_2$ will be

Accepted Answer

(A) 300 Ω

Answer

(B) 450 Ω

Answer

(C) 550 Ω

Answer

(D) 230 Ω

Question 55

In a communication system operating at wavelength 800 nm, only one percent of source frequency is available as signal bandwidth. The number of channels accommodated for transmitting TV signals of band width 6 MHz are (Take velocity of light c = $3 	imes 10^{8}$ m/s, h = $6.6 	imes 10^{-34}$ J-s)

Accepted Answer

(C) 6.25 $	imes$ 10$^{5}$

Answer

(A) 3.75 $	imes$ 10$^{6}$

Answer

(B) 3.86 $	imes$ 10$^{6}$

Answer

(D) 4.87 $	imes$ 10$^{5}$

Question 56

The position co-ordinates of a particle moving in a 3-D coordinates system is given by $x = a\cos\omega t$ $y = a\sin\omega t$ and $z = a\omega t$ The speed of the particle is:

Accepted Answer

(A) $\sqrt{2}\,a\omega$

Answer

(B) $a\omega$

Answer

(C) $\sqrt{3}\,a\omega$

Answer

(D) $2a\omega$

Question 57

The entropy change associated with the conversion of 1 kg of ice at 273 K to water vapours at 383 K is: (Specific heat of water liquid and water vapours are 4.2 kJ K$^{-1}$ kg$^{-1}$ and 2.0 kJ K$^{-1}$ kg$^{-1}$, heat of liquid fusion and vapourisation of water are 334 kJ kg$^{-1}$ and 2491 kJ kg$^{-1}$, respectively) (log 273 = 2.436, log 373 = 2.572, log 383 = 2.583)

Accepted Answer

(D) 9.26 kJ K$^{-1}$ kg$^{-1}$

Answer

(A) 7.90 kJ K$^{-1}$ kg$^{-1}$

Answer

(B) 2.64 kJ K$^{-1}$ kg$^{-1}$

Answer

(C) 8.49 kJ K$^{-1}$ kg$^{-1}$

Question 58

For the following reaction the mass of water produced from 445 g of C$_{57}$H$_{110}$O$_6$ is $2C_{57}H_{110}O_6(s) + 163O_2(g) \longrightarrow 114CO_2(g) + 110H_2O(l)$

Accepted Answer

(C) 495 g

Answer

(A) 490 g

Answer

(B) 445 g

Answer

(D) 890 g

Question 59

The major product formed in the following reaction is:

Accepted Answer

(C) (C)

Answer

(A) (A)

Answer

(B) (B)

Answer

(D) (D)

Question 60

Which of the following conditions in drinking water causes methemoglobinemia?

Accepted Answer

(C) > 50 ppm of nitrate

Answer

(A) > 50 ppm of lead

Answer

(B) > 50 ppm of chloride

Answer

(D) > 100 ppm of sulphate

Question 61

The major product of the following reaction is:

Accepted Answer

(C) (C)

Answer

(A) (A)

Answer

(B) (B)

Answer

(D) (D)

Question 62

The major product obtained in the following reaction is:

Accepted Answer

(D) (D)

Answer

(A) (A)

Answer

(B) (B)

Answer

(C) (C)

Question 63

The major product of the following reaction is:

Accepted Answer

(C) (C)

Answer

(A) (A)

Answer

(B) (B)

Answer

(D) (D)

Question 64

The correct match between item I and item II is

Accepted Answer

(B) a $\rightarrow$ r, b $\rightarrow$ q, c $\rightarrow$ p

Answer

(A) a $\rightarrow$ q, b $\rightarrow$ p, c $\rightarrow$ r

Answer

(C) a $\rightarrow$ q, b $\rightarrow$ r, c $\rightarrow$ p

Answer

(D) a $\rightarrow$ p, b $\rightarrow$ r, c $\rightarrow$ q

Item I	Item II
a.Benzaldehyde	p.Mobile phase
b.Alumina	q.Adsorbent
c.Acetonitrile	r.Adsorbate

Test	Interference
(a) 2, 4-DNP test	Colorued precipitate
(b) Iodoform test	Yellow precipitate
(c) Azo-dye test	No dye formation

JEE Main 9 January 2019 Shift 2 Question Paper with Answers

Physics — JEE Main 9 January 2019 Shift 2

Chemistry — JEE Main 9 January 2019 Shift 2

Mathematics — JEE Main 9 January 2019 Shift 2

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