JEE Main 9 April 2019 Shift 1 Question Paper

Question 1

If the function $f: R-\{1, -1\} 	o A$ defined by $f(x) = \dfrac{x^{2}}{1-x^{2}}$, is surjective, then A is equal to:

Accepted Answer

(A) $R - [-1, 0)$

Answer

(B) $R - (-1, 0)$

Answer

(C) $R - \{-1\}$

Answer

(D) $[0, \infty]$

Question 2

Let $\vec{\alpha}=3\hat{i}+\hat{j}$ and $\vec{\beta}=2\hat{i}-\hat{j}+3\hat{k}$. If $\vec{\beta}=\vec{\beta_{1}}-\vec{\beta_{2}}$, where $\vec{\beta_{1}}$ is parallel to $\vec{\alpha}$ and $\vec{\beta_{2}}$ is perpendicular to $\vec{\alpha}$, then $\vec{\beta_{1}}	imes\vec{\beta_{2}}$ is equal to:

Accepted Answer

(A) $\dfrac{1}{2}(-3\hat{i}+9\hat{j}+5\hat{k})$

Answer

(B) $\dfrac{1}{2}(3\hat{i}-9\hat{j}+5\hat{k})$

Answer

(C) $-3\hat{i}+9\hat{j}+5\hat{k}$

Answer

(D) $3\hat{i}-9\hat{j}-5\hat{k}$

Question 3

The integral $\displaystyle\int \sec^{2/3}x\,	ext{cosec}^{4/3}x\,dx$ is equal to: (Here C is a constant of integration)

Accepted Answer

(D) $-3	an^{-1/3}x+C$

Answer

(A) $3	an^{-1/3}x+C$

Answer

(B) $-\dfrac{3}{4}	an^{-4/3}x+C$

Answer

(C) $-3\cot^{-1/3}x+C$

Question 4

A plane passing through the points $(0,-1,0)$ and $(0,0,1)$ and making an angle $\dfrac{\pi}{4}$ with plane $y-z+5=0$, also passes through the point:

Accepted Answer

(A) $(\sqrt{2},1,4)$

Answer

(B) $(-\sqrt{2},-1,-4)$

Answer

(C) $(-\sqrt{2},1,-4)$

Answer

(D) $(\sqrt{2},-1,4)$

Question 5

If the tangent to the curve, $y=x^{3}+ax-b$ at the point $(1,-5)$ is perpendicular to the line, $-x+y+4=0$, then which one of the following, points lies on the curve?

Accepted Answer

(A) $(2,-2)$

Answer

(B) $(-2,2)$

Answer

(C) $(-2,1)$

Answer

(D) $(2,-1)$

Question 6

If the standard deviation of the numbers $-1,0,1,k$ is $\sqrt{5}$ where $k>0$, then k is equal to:

Accepted Answer

(C) $2\sqrt{6}$

Answer

(A) $4\sqrt{\dfrac{5}{3}}$

Answer

(B) $\sqrt{6}$

Answer

(D) $2\sqrt{\dfrac{10}{3}}$

Question 7

Let $f(x)=15-|x-10|; x\in R$. then the set of all values of x, at which the function, $g(x)=f(f(x))$ is not differentiable, is:

Accepted Answer

(A) $\{5,10,15\}$

Answer

(B) $\{10\}$

Answer

(C) $\{5,10,15,20\}$

Answer

(D) $\{10,15\}$

Question 8

If the fourth term in the Binomial expansion of $\left(\dfrac{2}{x}+x^{\log_{8}x}ight)^{6}(x>0)$ is $20	imes 8^{7}$, then a value of x is:

Accepted Answer

(D) $8^{2}$

Answer

(A) $8^{3}$

Answer

(B) $8^{-2}$

Answer

(C) $8$

Question 9

If f(x) is a non-zero polynomial of degree four, having local extreme points at $x=-1,0,1$; then the set $S=\{x\in R; f(x)=f(0)\}$ contains exactly:

Accepted Answer

(C) two irrational and one rational number

Answer

(A) four irrational numbers

Answer

(B) four rational numbers

Answer

(D) two irrational and two rational numbers

Question 10

For any two statements p and q, the negation of the expression $p\vee(\sim p\wedge q)$ is:

Accepted Answer

(C) $\sim p\wedge \sim q$

Answer

(A) $p\leftrightarrow q$

Answer

(B) $\sim p\vee \sim q$

Answer

(D) $p\wedge q$

Question 11

A committee of 11 members is to be formed from 8 males and 5 females. If m is the number of ways the committee is formed with at least 6 males and n is the number of ways the committee is formed with at least 3 females, then:

Accepted Answer

(C) $m=n=78$

Answer

(A) $n=m-8$

Answer

(B) $m+n=68$

Answer

(D) $m=n=68$

Question 12

If the line, $\dfrac{x-1}{2}=\dfrac{y+1}{3}=\dfrac{z-2}{4}$ meets the plane, $x+2y+3z=15$ at a point P, then the distance of P from the origin is:

Accepted Answer

(C) $\dfrac{9}{2}$

Answer

(A) $\dfrac{\sqrt{5}}{2}$

Answer

(B) $2\sqrt{5}$

Answer

(D) $\dfrac{7}{2}$

Question 13

The value of $\cos^{2}10^{\circ}-\cos 10^{\circ}\cos 50^{\circ}+\cos^{2}50^{\circ}$ is:

Accepted Answer

(B) $\dfrac{3}{4}$

Answer

(A) $\dfrac{3}{2}(1+\cos 20^{\circ})$

Answer

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

Answer

(D) $\dfrac{3}{4}+\cos 20^{\circ}$

Question 14

If $\begin{bmatrix}1&1\0&1\end{bmatrix}\begin{bmatrix}1&2\0&1\end{bmatrix}\begin{bmatrix}1&3\0&1\end{bmatrix}\ldots\ldots\ldots\ldots\begin{bmatrix}1&n-1\0&1\end{bmatrix}=\begin{bmatrix}1&78\0&1\end{bmatrix}$, then the inverse of $\begin{bmatrix}1&n\0&1\end{bmatrix}$ is:

Accepted Answer

(D) $\begin{bmatrix}1&-13\0&1\end{bmatrix}$

Answer

(A) $\begin{bmatrix}1&-12\0&1\end{bmatrix}$

Answer

(B) $\begin{bmatrix}1&0\13&1\end{bmatrix}$

Answer

(C) $\begin{bmatrix}1&0\12&1\end{bmatrix}$

Question 15

All the points in the set $S = \left\{\dfrac{\alpha+i}{\alpha-i} : \alpha \in R\right\}$ $(i=\sqrt{-1})$ lie on a:

Accepted Answer

(D) circle whose radius is 1

Answer

(A) straight line whose slope is 1

Answer

(B) circle whose radius is $\sqrt{2}$

Answer

(C) straight line whose slope is $-1$

Question 16

Let the sum of the first n terms of a non-constant A.P., $a_1, a_2, a_3, ......$ be $50n + \dfrac{n(n-7)}{2}A$, where A is a constant. If d is the common difference of this A.P., then the ordered pair $(d, a_{50})$ is equal to:

Accepted Answer

(A) $(A, 50+46A)$

Answer

(B) $(A, 50+45A)$

Answer

(C) $(50, 50+45A)$

Answer

(D) $(50, 50+46A)$

Question 17

The value of $\displaystyle\int_{0}^{\pi/2} \dfrac{\sin^{3}x}{\sin x+\cos x}dx$ is:

Accepted Answer

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

Answer

(A) $\dfrac{\pi-2}{4}$

Answer

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

Answer

(D) $\dfrac{\pi-2}{8}$

Question 18

If the line $y=mx+7\sqrt{3}$ is normal to the hyperbola $\dfrac{x^{2}}{24}-\dfrac{y^{2}}{18}=1$, then a value of m is:

Accepted Answer

(A) $\dfrac{2}{\sqrt{5}}$

Answer

(B) $\dfrac{\sqrt{5}}{2}$

Answer

(C) $\dfrac{\sqrt{15}}{2}$

Answer

(D) $\dfrac{3}{\sqrt{5}}$

Question 19

The solution of the differential equation $x\dfrac{dy}{dx}+2y=x^{2}\ (x
eq 0)$ with $y(1)=1$, is:

Accepted Answer

(B) $y=\dfrac{x^{2}}{4}+\dfrac{3}{4x^{2}}$

Answer

(A) $y=\dfrac{x^{3}}{5}+\dfrac{1}{5x^{2}}$

Answer

(C) $y=\dfrac{4}{5}x^{3}+\dfrac{1}{5x^{2}}$

Answer

(D) $y=\dfrac{3}{4}x^{2}+\dfrac{1}{4x^{2}}$

Question 20

If one end of a focal chord of the parabola, $y^{2}=16x$ is at $(1, 4)$, then the length of this focal chord is:

Accepted Answer

(A) 25

Answer

(B) 24

Answer

(C) 22

Answer

(D) 20

Question 21

Let S be the set of all values of x for which the tangent to the curve $y=f(x)=x^{3}-x^{2}-2x$ at $(x, y)$ is parallel to the line segment joining the points $(1, f(1))$ and $(-1, f(-1))$, then S is equal to:

Accepted Answer

(D) $\left\{-\dfrac{1}{3},1\right\}$

Answer

(A) $\left\{\dfrac{1}{3},-1\right\}$

Answer

(B) $\left\{-\dfrac{1}{3},-1\right\}$

Answer

(C) $\left\{\dfrac{1}{3},1\right\}$

Question 22

Let $\displaystyle\sum_{k=1}^{10} f(a+k)=16(2^{10}-1)$, where the function f satisfies $f(x+y)=f(x)f(y)$ for all natural numbers x, y and $f(1)=2$. Then the natural number 'a' is:

Accepted Answer

(D) 3

Answer

(A) 4

Answer

(B) 16

Answer

(C) 2

Question 23

Let $S=\{	heta\in[-2\pi, 2\pi] : 2\cos^{2}	heta+3\sin	heta=0\}$. Then the sum of the elements of S is:

Accepted Answer

(B) $2\pi$

Answer

(A) $\dfrac{13\pi}{6}$

Answer

(C) $\pi$

Answer

(D) $\dfrac{5\pi}{3}$

Question 24

If a tangent to the circle $x^{2}+y^{2}=1$ intersects the coordinate axes at distinct points P and Q, then the locus of the mid-point of PQ is:

Accepted Answer

(C) $x^{2}+y^{2}-4x^{2}y^{2}=0$

Answer

(A) $x^{2}+y^{2}-16x^{2}y^{2}=0$

Answer

(B) $x^{2}+y^{2}-2x^{2}y^{2}=0$

Answer

(D) $x^{2}+y^{2}-2xy=0$

Question 25

Four persons can hit a target correctly with probabilities $\dfrac{1}{2}, \dfrac{1}{3}, \dfrac{1}{4}$ and $\dfrac{1}{8}$ respectively. If all hit at the target independently, then the probability that the target would be hit, is:

Accepted Answer

(A) $\dfrac{25}{32}$

Answer

(B) $\dfrac{25}{192}$

Answer

(C) $\dfrac{7}{32}$

Answer

(D) $\dfrac{1}{192}$

Question 26

The area (in sq. units) of the region $A=\{(x, y) : x^{2}\leq y\leq x+2\}$ is:

Accepted Answer

(C) $\dfrac{9}{2}$

Answer

(A) $\dfrac{31}{6}$

Answer

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

Answer

(D) $\dfrac{10}{3}$

Question 27

Let $\alpha$ and $\beta$ be the roots of the equation $x^{2}+x+1=0$. Then for $y
eq 0$ in R, $\begin{vmatrix}y+1 & \alpha & \beta\ \alpha & y+\beta & 1\ \beta & 1 & y+\alpha\end{vmatrix}$ is equal to:

Accepted Answer

(C) $y^{3}$

Answer

(A) $y(y^{2}-3)$

Answer

(B) $y^{3}-1$

Answer

(D) $y(y^{2}-1)$

Question 28

If the function f defined on $\left(\dfrac{\pi}{6}, \dfrac{\pi}{3}ight)$ by $f(x)=\begin{cases}\dfrac{\sqrt{2}\cos x-1}{\cot x-1}, & x
eq \dfrac{\pi}{4}\ k, & x=\dfrac{\pi}{4}\end{cases}$ is continuous, then k is equal to:

Accepted Answer

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

Answer

(A) 1

Answer

(B) 2

Answer

(D) $\dfrac{1}{\sqrt{2}}$

Question 29

The total number of turns and cross-section area in solenoid is fixed. However, its length L is varied by adjusting the separation between windings. The inductance of solenoid will be proportional to:

Accepted Answer

(A) 1/L

Answer

(B) L

Answer

(C) 1/L$^2$

Answer

(D) L$^2$

Question 30

A system of three charges are placed as shown in the figure: If D >> d, the potential energy of the system is best given by:

Accepted Answer

(A) $\frac{1}{4\pi\varepsilon_o}\left[-\frac{q^2}{d}-\frac{qQd}{D^2}\right]$

Answer

(B) $\frac{1}{4\pi\varepsilon_o}\left[-\frac{q^2}{d}-\frac{qQd}{2D^2}\right]$

Answer

(C) $\frac{1}{4\pi\varepsilon_o}\left[-\frac{q^2}{d}+\frac{2qQd}{D^2}\right]$

Answer

(D) $\frac{1}{4\pi\varepsilon_o}\left[+\frac{q^2}{d}-\frac{qQd}{D^2}\right]$

Question 31

A moving coil galvanometer has resistance 50 Ω and it indicates full deflection at 4mA current. A voltmeter is made using this galvanometer and a 5 kΩ resistance. The maximum voltage, that can be measured using this voltamenter, will be close to:

Accepted Answer

(B) 20 V

Answer

(A) 15 V

Answer

(C) 10 V

Answer

(D) 40 V

Question 32

If 'M' is the mass of water that rises in a capillary tube of radius 'r', then mass of water which will rise in a capillary tube of radius '2r' is:

Accepted Answer

(D) 2 M

Answer

(A) 4 M

Answer

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

Answer

(C) M

Question 33

An NPN transistor is used in common emitter configuration as an amplifier with 1 kΩ load resistance. Signal voltage of 10 mV is applied across the base-emitter. This produces a 3 mA change in the collector current and 15 μA change in the base current of the amplifier. The input resistance and voltage gain are:

Accepted Answer

(A) 0.67 kΩ, 300

Answer

(B) 0.67 kΩ, 200

Answer

(C) 0.33 kΩ, 1.5

Answer

(D) 0.33 kΩ, 300

Question 34

The electric field of light wave is given as $\vec{E}=10^{-3}\cos\left(\frac{2\pi x}{5	imes10^{-7}}-2\pi	imes6	imes10^{14}tight)\hat{x}\frac{N}{C}$. This light falls on a metal plate of work function 2eV. The stopping potential of the photoelectrons is:

Accepted Answer

(A) 0.48 V

Answer

(B) 2.48 V

Answer

(C) 0.72 V

Answer

(D) 2.0 V

Question 35

Following figure shows two processes A and B for a gas. If $\Delta Q_A$ and $\Delta Q_B$ are the amount of heat absorbed by the system in two cases, and $\Delta U_A$ and $\Delta U_B$ are changes in internal energies, respectively, then:

Accepted Answer

(B) $\Delta Q_A>\Delta Q_B; \Delta U_A=\Delta U_B$

Answer

(A) $\Delta Q_A=\Delta Q_B; \Delta U_A=\Delta U_B$

Answer

(C) $\Delta Q_A<\Delta Q_B; \Delta U_A<\Delta U_B$

Answer

(D) $\Delta Q_A>\Delta Q_B; \Delta U_A>\Delta U_B$

Question 36

A uniform cable of mass 'M' and length 'L' is placed on a horizontal surface such that its $\left(\frac{1}{n}\right)^{th}$ part is hanging below the edge of the surface. To lift the hanging part of the cable upto the surface, the work done should be:

Accepted Answer

(B) $\frac{MgL}{2n^2}$

Answer

(A) nMgL

Answer

(C) $\frac{2MgL}{n^2}$

Answer

(D) $\frac{MgL}{n^2}$

Question 37

A signal A cos$\omega$t is transmitted using $
u_0$ sin$\omega_0$t as carrier wave. The correct amplitude modulated (AM) signal is:

Accepted Answer

(B) $
u_0\sin\omega_0t+\frac{A}{2}\sin(\omega_0-\omega)t+\frac{A}{2}\sin(\omega_0+\omega)t$

Answer

(A) $
u_0\sin\left[\omega_0(1+0.01A\sin\omega t)tight]$

Answer

(C) $
u_0\sin\omega_0t+A\cos\omega t$

Answer

(D) $(
u_0+A)\cos\omega t\sin\omega_0t$

Question 38

A concave mirror for face viewing has focal length of 0.4 m. The distance at which you hold the mirror from your face in order to see your image upright with a magnification of 5 is:

Accepted Answer

(D) 0.32 m

Answer

(A) 0.16 m

Answer

(B) 1.60 m

Answer

(C) 0.24 m

Question 39

Determine the charge on the capacitor in the following circuit:

Accepted Answer

(A) 200 μC

Answer

(B) 60 μC

Answer

(C) 10 μC

Answer

(D) 2 μC

Question 40

A stationary horizontal disc is free to rotate about its axis. When a torque is applied on it, its kinetic energy as a function of $	heta$, where $	heta$ is the angle by which it has rotated, is given as $k	heta^2$. If its moment of inertia is I then the angular acceleration of the disc is:

Accepted Answer

(D) $\dfrac{2k}{I}	heta$

Answer

(A) $\dfrac{k}{I}	heta$

Answer

(B) $\dfrac{k}{2I}	heta$

Answer

(C) $\dfrac{k}{4I}	heta$

Question 41

A simple pendulum oscillating in air has period T. The bob of the pendulum is completely immersed in a non-viscous liquid. The density of the liquid is $\dfrac{1}{16}$th of the material of the bob. If the bob is inside liquid all the time, its period of oscillation in this liquid is:

Accepted Answer

(C) $4T\sqrt{\dfrac{1}{15}}$

Answer

(A) $2T\sqrt{\dfrac{1}{10}}$

Answer

(B) $2T\sqrt{\dfrac{1}{14}}$

Answer

(D) $4T\sqrt{\dfrac{1}{14}}$

Question 42

For a given gas at 1 atm pressure, rms speed of the molecules is 200 m/s at 127°C. At 2 atm pressure and at 227°C, the rms speed of the molecules will be:

Accepted Answer

(D) $100\sqrt{5}$ m / s

Answer

(A) 80 m/s

Answer

(B) $80\sqrt{5}$ m / s

Answer

(C) 100 m/s

Question 43

The magnetic field of a plane electromagnetic wave is given by: $\vec{B} = B_0\hat{i}[\cos(kz-\omega t)] + B_1\hat{j}\cos(kz-\omega t)$ where $B_0 = 3	imes 10^{-5}$T and $B_1 = 2	imes 10^{-6}$T. The rms value of the force experienced by a stationary charge $Q = 10^{-4}=C$ at $z = 0$ is closet to:

Accepted Answer

(B) 0.6 N

Answer

(A) 0.9 N

Answer

(C) 0.1 N

Answer

(D) $3	imes 10^{-2}$N

Question 44

The stream of a river is flowing with a speed of 2 km/h. A swimmer can swim at a speed of 4 km/h. What should be the direction of the swimmer with respect to the flow of the river to cross the river straight?

Accepted Answer

(C) 120°

Answer

(A) 60°

Answer

(B) 90°

Answer

(D) 150°

Question 45

A rigid square loop of side 'a' and carrying current $I_2$ is laying on a horizontal surface near a long current $I_1$ wire in the same plane as shown in figure. The net force on the loop due to the wire will be:

Accepted Answer

(D) Repulsive and equal to $\dfrac{\mu_0 I_1 I_2}{4\pi}$

Answer

(A) Repulsive and equal to $\dfrac{\mu_0 I_1 I_2}{2\pi}$

Answer

(B) Attractive and equal to $\dfrac{\mu_0 I_1 I_2}{3\pi}$

Answer

(C) Zero

Question 46

A solid sphere of mass 'M' and radius 'a' is surrounded by a uniform concentric spherical shell of thickness 2a and mass 2M. The gravitational field at distance '3a' from the centre will be:

Accepted Answer

(D) $\dfrac{GM}{3a^2}$

Answer

(A) $\dfrac{2GM}{3a^2}$

Answer

(B) $\dfrac{2GM}{9a^2}$

Answer

(C) $\dfrac{GM}{9a^2}$

Question 47

A string is clamed at both the ends and it is vibrating in its 4th harmonic. The equation of the stationary wave is $Y = 0.3\sin(0.157x)\cos(200\pi t)$. The length of the string is: (all quantities are in SI units)

Accepted Answer

(A) 80 m

Answer

(B) 60 m

Answer

(C) 40 m

Answer

(D) 20 m

Question 48

A ball is thrown vertically up (taken as +z-axis) from the ground. The correct momentum-height (p-h) diagram is:

Accepted Answer

(C) (C)

Answer

(A) (A)

Answer

(B) (B)

Answer

(D) (D)

Question 49

A capacitor with capacitance 5 μF is charged to 5 μC. If the plates are pulled apart to reduce the capacitance to 2 μF, how much work is done?

Accepted Answer

(A) $3.75	imes10^{-6}$ J

Answer

(B) $2.55	imes10^{-6}$ J

Answer

(C) $6.25	imes10^{-6}$ J

Answer

(D) $2.16	imes10^{-6}$ J

Question 50

A body of mass 2 kg makes an elastic collision with a second body at rest and continues to move in the original direction but with one fourth of its original speed. What is the mass of the second body?

Accepted Answer

(B) 1.2 kg

Answer

(A) 1.5 kg

Answer

(C) 1.8 kg

Answer

(D) 1.0 kg

Question 51

The pressure wave, P = $0.01sin[1000t-3x]$NM$^{-2}$, corresponds to the sound produced by a vibrating blade on a day when atmospheric temperature is 0°C. On some other day when temperature is T, the speed of sound produced by the same blade and at the same frequency is found to be 336 ms$^{-1}$. Approximate value of T is:

Accepted Answer

(D) 4°C

Answer

(A) 12°C

Answer

(B) 11°C

Answer

(C) 15°C

Question 52

A wire of resistance R is bent to form a square ABCD as shown in the figure. The effective resistance between E and C is: (E is mid-point of arm CD)

Accepted Answer

(B) $\dfrac{7}{64}$R

Answer

(A) $\dfrac{1}{16}$R

Answer

(C) $\dfrac{3}{4}$R

Answer

(D) R

Question 53

Magnesium powder burns in air to give:

Accepted Answer

(B) $MgO$ and $Mg_3N_2$

Answer

(A) $MgO$ and $Mg(NO_3)_2$

Answer

(C) $MgO$ only

Answer

(D) $Mg(NO_3)_2$ and $Mg_3N_2$

Question 54

The number of water molecule(s) not coordinated to copper ion directly in $CuSO_4 \cdot 5H_2O$, is:

Accepted Answer

(A) 1

Answer

(B) 3

Answer

(C) 2

Answer

(D) 4

Question 55

The one that will show optical activity is: (en = ethane-1, 2-diamine)

Accepted Answer

(A) (A)

Answer

(B) (B)

Answer

(C) (C)

Answer

(D) (D)

Question 56

Consider the van der Waals constants, a and b, for the following gases.
Which gas is expected to have the highest critical temperature?

Accepted Answer

(C) Kr

Answer

(A) Ar

Answer

(B) Xe

Answer

(D) Ne

Question 57

Among the following, the molecule expected to be stabilized by anion formation is:

Accepted Answer

(B) $C_2$

Answer

(A) $F_2$

Answer

(C) $O_2$

Answer

(D) NO

Question 58

Among the following the set of parameters that represents path functions, is:
(a) q + w
(b) q
(c) w
(d) H – TS

Accepted Answer

(A) (b) and (c)

Answer

(B) (b), (c) and (d)

Answer

(C) (a), (b) and (c)

Answer

(D) (a) and (d)

Question 59

The degenerate orbitals of $[Cr(H_2O)_6]^{3+}$ are:

Accepted Answer

(A) $d_{xz}$ and $d_{yz}$

Answer

(B) $d_{x^2-y^2}$ and $d_{xy}$

Answer

(C) $d_{yz}$ and $d_{z^2}$

Answer

(D) $d_{z^2}$ and $d_{xz}$

Question 60

The aerosol is a kind of colloid in which:

Accepted Answer

(A) solid is dispersed in gas

Answer

(B) gas is dispersed in solid

Answer

(C) liquid is dispersed in water

Answer

(D) gas is dispersed in liquid

Question 61

The given plots represent the variation of the concentration of a reactant R with time for two different reactions (i) and (ii). The respective orders of the reactions are:

Accepted Answer

(D) 1, 0

Answer

(A) 1, 1

Answer

(B) 0, 2

Answer

(C) 0, 1

Question 62

The major product of the following reaction is:

Accepted Answer

(C) (C)

Answer

(A) (A)

Answer

(B) (B)

Answer

(D) (D)

Question 63

The organic compound that gives following qualitative analysis is:

Accepted Answer

(B) (B)

Answer

(A) (A)

Answer

(C) (C)

Answer

(D) (D)

Question 64

Aniline dissolved in dilute HCl is reacted with sodium nitrite at $0^{\circ}C$. This solution was added dropwise to a solution containing equimolar mixture of aniline and phenol in dil. HCl. The structure of the major product is:

Accepted Answer

(C) (C)

Answer

(A) (A)

Answer

(B) (B)

Answer

(D) (D)

Gas	Ar	Ne	Kr	Xe
a/(atm dm $^6$ mol $^{-2}$ )	1.3	0.2	5.1	4.1
b/(10 $^{-2}$ dm $^3$ mol $^{-1}$ )	3.2	1.7	1.0	5.0

Test	Inference
(a) Dil. HCl	Insoluble
(b) NaOH solution	Soluble
(c) Br $_2$ /water	Decolourization

Column-I (Catalyst)	Column-II (Product)
a. $V_2O_5$	i.Polyethylene
b. $TiCl_4/Al(Me)_3$	ii.Ethanal
c. $PdCl_2$	iii. $H_2SO_4$
d.Iron oxide	iv. $NH_3$

JEE Main 9 April 2019 Shift 1 Question Paper with Answers

Physics — JEE Main 9 April 2019 Shift 1

Chemistry — JEE Main 9 April 2019 Shift 1

Mathematics — JEE Main 9 April 2019 Shift 1

Chapters tested in this paper

Attempt this paper under exam timing.