JEE Main 9 January 2020 Shift 1 Question Paper

Question 1

The product $2^{\frac{1}{4}}.4^{\frac{1}{16}}.8^{\frac{1}{48}}.16^{\frac{1}{128}}$.......... to $\infty$ is equal to

Accepted Answer

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

Answer

(B) 2

Answer

(C) 1

Answer

(D) $2^{\frac{1}{4}}$

Question 2

Let the observations $x_i$ $(1\le i\le10)$ satisfy the equation $\displaystyle\sum_{i=1}^{10}(x_i-5)=10$ and $\displaystyle\sum_{i=1}^{10}(x_i-5)^2=40$. If $\mu$ and $\lambda$ are the mean and the variance of the observations, $x_1-3,x_2-3,……………,x_{10}-3$, then the ordered pair $(\mu,\lambda)$ is equal to:

Accepted Answer

(B) (3, 3)

Answer

(A) (6, 6)

Answer

(C) (3, 6)

Answer

(D) (6, 3)

Question 3

If $e_1$ and $e_2$ are the eccentricities of the ellipse, $\dfrac{x^2}{18}+\dfrac{y^2}{4}=1$ and the hyperbola, $\dfrac{x^2}{9}-\dfrac{y^2}{4}=1$ respectively and $(e_1,e_2)$ is a point on the ellipse, $15x^2+3y^2=k$, then k is equal to:

Accepted Answer

(A) 16

Answer

(B) 14

Answer

(C) 17

Answer

(D) 15

Question 4

If the matrices $A=\begin{bmatrix}1 & 1 & 2\1 & 3 & 4\1 & -1 & 3\end{bmatrix}$, $B=	ext{adj}\,A$ and $C=3A$, then $\dfrac{|	ext{adj}\,B|}{|C|}$ is equal to:

Accepted Answer

(B) 8

Answer

(A) 72

Answer

(C) 16

Answer

(D) 2

Question 5

If the number of five digit numbers with distinct digits and 2 at the $10^{th}$ place is 336 k, then k is equal to:

Accepted Answer

(D) 8

Answer

(A) 6

Answer

(B) 7

Answer

(C) 4

Question 6

In a box, there are 20 cards, out of which 10 are labeled as A and the remaining 10 are labelled as B. Cards are drawn at random, one after the other and with replacement, till a second A – card is obtained. The probability that the second A – card appears before the third B – card is:

Accepted Answer

(D) $\dfrac{11}{16}$

Answer

(A) $\dfrac{9}{16}$

Answer

(B) $\dfrac{15}{16}$

Answer

(C) $\dfrac{13}{16}$

Question 7

The number of real roots of the equation, $e^{4x}+e^{3x}-4e^{2x}+e^{x}+1=0$ is:

Accepted Answer

(D) 1

Answer

(A) 2

Answer

(B) 4

Answer

(C) 3

Question 8

A spherical iron ball of 10 cm radius is coated with a layer of ice of uniform thickness that melts at a rate of 50 cm$^{3}$/ min. When the thickness of ice is 5 cm, then the rate (in cm/min) at which of the thickness of ice decreases, is:

Accepted Answer

(C) $\dfrac{1}{18\pi}$

Answer

(A) $\dfrac{5}{6\pi}$

Answer

(B) $\dfrac{1}{36\pi}$

Answer

(D) $\dfrac{1}{54\pi}$

Question 9

The value of $\displaystyle\int_{0}^{2\pi} \dfrac{x\sin^{8}x}{\sin^{8}x+\cos^{8}x}\,dx$ is equal to:

Accepted Answer

(C) $\pi^{2}$

Answer

(A) $2\pi$

Answer

(B) $4\pi$

Answer

(D) $2\pi^{2}$

Question 10

Let z be a complex number such that $\left|\dfrac{z-i}{z+2i}\right|=1$ and $|z|=\dfrac{5}{2}$. Then the value of $|z+3i|$ is:

Accepted Answer

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

Answer

(A) $\dfrac{15}{4}$

Answer

(B) $2\sqrt{3}$

Answer

(C) $\sqrt{10}$

Question 11

Negation of the statement:
$\sqrt{5}$ is an integer or 5 is irrational' is:

Accepted Answer

(C) $\sqrt{5}$ is not an integer and 5 is not irrational

Answer

(A) $\sqrt{5}$ is an integer and 5 is irrational

Answer

(B) $\sqrt{5}$ is not an integer or 5 is not irrational

Answer

(D) $\sqrt{5}$ is irrational or 5 is an integer

Question 12

Let C be the centroid of the triangle with vertices $(3,-1)$, $(1,3)$ AND $(2,4)$. Let P be the point of intersection of the lines $x+3y-1=0$ and $3x-y+1=0$. Then the line passing through the points C and P also passes through the point:

Accepted Answer

(B) $(-9,-6)$

Answer

(A) $(-9,-7)$

Answer

(C) $(7,6)$

Answer

(D) $(9,7)$

Question 13

If for some $\alpha$ and $\beta$ in R, the intersection of the following three planes
$x+4y-2z=1$
$x+7y-5z=\beta$
$x+5y+\alpha z=5$
is a line in $R^{3}$, then $\alpha+\beta$ is equal to:

Accepted Answer

(C) $10$

Answer

(A) $0$

Answer

(B) $2$

Answer

(D) $-10$

Question 14

Let f be any function continuous on $[a,b]$ and twice differentiable on $(a,b)$. If for all $x \in (a,b), f'(x)>0$ and $f''(x)<0$, then for any $c \in (a,b)$, $\dfrac{f(c)-f(a)}{f(b)-f(c)}$ is greater than:

Accepted Answer

(A) $\dfrac{c-a}{b-c}$

Answer

(B) $\dfrac{b+a}{b-a}$

Answer

(C) $\dfrac{b-c}{c-a}$

Answer

(D) $1$

Question 15

The value of $\cos^{3}\left(\dfrac{\pi}{8}\right).\cos\left(\dfrac{3\pi}{8}\right)+\sin^{3}\left(\dfrac{\pi}{8}\right).\sin\left(\dfrac{3\pi}{8}\right)$ is:

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 16

A circle touches the y - axis at the point $(0,4)$ and passes through the point $(2,0)$. Which of the following lines is not a tangent to this circle?

Accepted Answer

(D) $4x+3y-8=0$

Answer

(A) $3x-4y-24=0$

Answer

(B) $3x+4y-6=0$

Answer

(C) $4x-3y+17=0$

Question 17

If for all real triplets (a, b, c), $f(x)=a+bx+cx^{2}$; then $\int_{0}^{1} f(x)\,dx$ is equal to:

Accepted Answer

(B) $\dfrac{1}{6}\left\{f(0)+f(1)+4f\left(\dfrac{1}{2}\right)\right\}$

Answer

(A) $\dfrac{1}{2}\left\{f(1)+3f\left(\dfrac{1}{2}\right)\right\}$

Answer

(C) $\dfrac{1}{3}\left\{f(0)+f\left(\dfrac{1}{2}\right)\right\}$

Answer

(D) $2\left\{3f(1)+2f\left(\dfrac{1}{2}\right)\right\}$

Question 18

If $f'(x)=	an^{-1}(\sec x+	an x), -\dfrac{\pi}{2}<x<\dfrac{\pi}{2}$, and $f(0)=0$, then $f(1)$ is equal to:

Accepted Answer

(B) $\dfrac{\pi+1}{4}$

Answer

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

Answer

(C) $\dfrac{\pi+2}{4}$

Answer

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

Question 19

The integral $\int \dfrac{dx}{(x+4)^{8/7}(x-3)^{6/7}}$ is equal to:
(where C is a constant of integration)

Accepted Answer

(C) $\left(\dfrac{x-3}{x+4}\right)^{1/7}+C$

Answer

(A) $-\dfrac{1}{13}\left(\dfrac{x-3}{x+4}\right)^{-13/7}+C$

Answer

(B) $-\left(\dfrac{x-3}{x+4}\right)^{-1/7}+C$

Answer

(D) $\dfrac{1}{2}\left(\dfrac{x-3}{x+4}\right)^{3/7}+C$

Question 20

The projection of the line segment joining the points $(1,-1,3)$ and $(2,-4,11)$ on the line joining the points $(-1,2,3)$ and $(3,-2,10)$ is ______

Accepted Answer

8

Question 21

If the vectors, $\vec{p}=(a+1)\hat{i}+a\hat{j}+a\hat{k}$, $\vec{q}=a\hat{i}+(a+1)\hat{j}+a\hat{k}$ and $\vec{r}=a\hat{i}+a\hat{j}+(a+1)\hat{k}$ $(a \in R)$ are coplanar and $3(\vec{p}.\vec{q})^{2}-\lambda|\vec{r}	imes\vec{q}|^{2}=0$, then the value of $\lambda$ is ______.

Accepted Answer

1

Question 22

If for $x \geq 0$, $y=y(x)$ is the solution of the differential equation, $(x+1)dy=\left((x+1)^{2}+y-3\right)dx, y(2)=0$, then $y(3)$ is equal to ______

Accepted Answer

3

Question 23

The coefficient of $x^{4}$ in the expansion of $(1+x+x^{2})^{10}$ is ______.

Accepted Answer

615

Question 24

The number of distinct solutions of the equation, $\log_{\frac{1}{2}}|\sin x|=2-\log_{\frac{1}{2}}|\cos x|$ in the interval $[0,2\pi]$, is ______.

Accepted Answer

8

Question 25

Two particles of equal mass 'm' have respective initial velocities u$\hat{i}$ and u$\left(\dfrac{\hat{i}+\hat{j}}{2}\right)$. They collide completely inelastically. The energy lost in the process is:

Accepted Answer

(B) $\dfrac{1}{8}m u^{2}$

Answer

(A) $\dfrac{1}{3}m u^{2}$

Answer

(C) $\sqrt{\dfrac{2}{3}}m u^{2}$

Answer

(D) $\dfrac{3}{4}m u^{2}$

Question 26

Radiation, with wavelength 6561 Å falls on a metal surface to produce photoelectrons. The electrons are made to enter a uniform magnetic field of $3 	imes 10^{-4}$ T. If the radius of the largest circular path followed by the electrons is 10 mm, the work function of the metal is close to:

Accepted Answer

(D) 1.1 eV

Answer

(A) 0.8 eV

Answer

(B) 1.6 eV

Answer

(C) 1.8 eV

Question 27

Water flows in a horizontal tube (see figure). The pressure of water changes by 700 Nm$^{-2}$ between A and B where the area of cross section are 40 cm$^{2}$ and 20 cm$^{2}$, respectively. Find the rate of flow of water through the tube. (density of water = 1000 kg m$^{-3}$)

Accepted Answer

(C) 2720 cm$^{3}$/s

Answer

(A) 1810 cm$^{3}$/s

Answer

(B) 2420 cm$^{3}$/s

Answer

(D) 3020 cm$^{3}$/s

Question 28

The aperture diameter of a telescope is 5m. The separation between the moon and the earth is $4 	imes 10^{5}$ km. With light of wavelength of 5500 Ä, the minimum separation between objects on the surface of moon, so that they are just resolved, is close to:

Accepted Answer

(C) 60 m

Answer

(A) 200 m

Answer

(B) 600 m

Answer

(D) 20 m

Question 29

A body A of mass m is moving in a circular orbit of radius R about a planet. Another body B of mass $\dfrac{m}{2}$ collides with A with a velocity which is half $\left(\dfrac{\vec{v}}{2}\right)$ the instantaneous velocity $\vec{v}$ of A. The collision is completely inelastic. Then, the combined body:

Accepted Answer

(A) starts moving in an elliptical orbit around the planet.

Answer

(B) continues to move in a circular orbit.

Answer

(C) Escapes from the Planet's Gravitational field.

Answer

(D) Falls vertically downwards towards the planet.

Question 30

Consider two ideal diatomic gases A and B at some temperature T. Molecules of the gas A are rigid, and have a mass m. Molecules of the gas B have an additional vibrational mode and have mass $\dfrac{m}{4}$. The ratio of the specific heats ($C_{V}^{A}$ and $C_{V}^{B}$) of gas A and B, respectively is

Accepted Answer

(B) 5 : 7

Answer

(A) 3 : 5

Answer

(C) 7 : 9

Answer

(D) 5 : 9

Question 31

Three harmonic waves having equal frequency $
u$ and same intensity $I_{0}$, have phase angles $0, \dfrac{\pi}{4}$ and $-\dfrac{\pi}{4}$ respectively. When they are superimposed the intensity of the resultant wave is close to:

Accepted Answer

(D) 5.8$I_{0}$

Answer

(A) 3$I_{0}$

Answer

(B) $I_{0}$

Answer

(C) 0.2$I_{0}$

Question 32

A quantity f is given by $f=\sqrt{\dfrac{hc^{5}}{G}}$ where c is speed of light, G universal gravitational constant and h is the Planck's constant. Dimension of f is that of:

Accepted Answer

(A) energy

Answer

(B) momentum

Answer

(C) area

Answer

(D) volume

Question 33

If the screw on a screw-gauge is given six rotations, it moves by 3 mm on the main scale. If there are 50 divisions on the circular scale the least count of the screw gauge is

Accepted Answer

(A) 0.001 cm

Answer

(B) 0.001 mm

Answer

(C) 0.01 cm

Answer

(D) 0.02 mm

Question 34

Three solid spheres each of mass m and diameter d are stuck together such that the lines connecting the centres form an equilateral triangle of side of length d. The ratio $I_{0}/I_{A}$ of moment of inertia $I_{0}$ of the system about an axis passing the centroid and about center of any of the spheres $I_{A}$ and perpendicular to the plane of the triangle is

Accepted Answer

(D) $\dfrac{13}{23}$

Answer

(A) $\dfrac{15}{13}$

Answer

(B) $\dfrac{13}{15}$

Answer

(C) $\dfrac{23}{13}$

Question 35

Consider a force $\vec{F}=-x\hat{i}+y\hat{j}$. The work done by this force in moving a particle from point A(1, 0) to B(0, 1) along the line segment is: (all quantities are in SI units)

Accepted Answer

(C) 1

Answer

(A) 2

Answer

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

Answer

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

Question 36

A vessel of depth 2h is half filled with a liquid of refractive index $2\sqrt{2}$ and the upper half with another liquid of refractive index $\sqrt{2}$. The liquids are immiscible. The apparent depth of the inner surface of the bottom of vessel will be

Accepted Answer

(C) $\dfrac{3}{4}h\sqrt{2}$

Answer

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

Answer

(B) $\dfrac{h}{2(\sqrt{2}+1)}$

Answer

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

Question 37

A particle moving with kinetic energy E has de Broglie wavelength $\lambda$. If energy $\Delta E$ ;is added to its energy, the wavelength become $\lambda/2$. Value of $\Delta E$, is:

Accepted Answer

(B) 3E

Answer

(A) E

Answer

(C) 2E

Answer

(D) 4E

Question 38

In the given circuit diagram, a wire is joining points B and D. The current in this wire is:

Accepted Answer

(B) 2A

Answer

(A) zero

Answer

(C) 0.4 A

Answer

(D) 4A

Question 39

A long, straight wire of radius a carries a current distributed uniformly over its cross-section. The ratio of the magnetic fields due to the wire at distance $\dfrac{a}{3}$ and 2a, respectively from the axis of the wire is:

Accepted Answer

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

Answer

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

Answer

(C) 2

Answer

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

Question 40

The electric fields of two plane electromagnetic plane waves in vacuum are given by $\vec{E}_{1} = E_{0}\hat{j}\cos(\omega t - kx)$ and $\vec{E}_{2} = E_{0}\hat{k}\cos(\omega t - ky)$. At t = 0, a particle of charge q is at origin with velocity $\vec{v} = 0.8c\hat{j}$ (c is the speed of light in vaccum). The instantaneous force experienced by the particle is:

Accepted Answer

(C) $E_{0}q(0.8\hat{i} + \hat{j} + 0.2\hat{k})$

Answer

(A) $E_{0}q(0.8\hat{i} - \hat{j} + 0.4\hat{k})$

Answer

(B) $E_{0}q(0.4\hat{i} - 3\hat{j} + 0.8\hat{k})$

Answer

(D) $E_{0}q(-0.8\hat{i} + \hat{j} + \hat{k})$

Question 41

An electric dipole of moment $\vec{p} = (-\hat{i} - 3\hat{j} + 2\hat{k}) 	imes 10^{-29}$ cm is at the origin (0, 0, 0). The electric field due to this dipole at $\vec{r} = +\hat{i} + 3\hat{j} + 5\hat{k}$ (note that $\vec{r} \cdot \vec{p} = 0$) is parallel to:

Accepted Answer

(D) $(+\hat{i} + 3\hat{j} - 2\hat{k})$

Answer

(A) $(-\hat{i} - 3\hat{j} + 2\hat{k})$

Answer

(B) $(+\hat{i} - 3\hat{j} - 2\hat{k})$

Answer

(C) $(-\hat{i} + 3\hat{j} - 2\hat{k})$

Question 42

A charged particle of mass 'm' and charge 'q' moving under the influence of uniform electric field $E\hat{i}$ and a uniform magnetic field $B\hat{k}$ follows a trajectory from point P to Q as shown in figure. The velocities at P and Q are respectively, $v\hat{i}$ and $-2v\hat{j}$. Then which of the following statements (A, B, C, D) are the correct? (Trajectory shown is schematic and not to scale)

(a) $E = \dfrac{3}{4}\left(\dfrac{mv^{2}}{qa}\right)$

(b) Rate of work done by the electric field at P is $\dfrac{3}{4}\left(\dfrac{mv^{3}}{a}\right)$

(c) Rate of work done by both the fields at Q is zero.

(d) The difference between the magnitude of angular momentum of the particle at P and Q is 2 mav.

Accepted Answer

(B) (a), (b), (c)

Answer

(A) (b), (c), (d)

Answer

(C) (a), (c), (d)

Answer

(D) (a), (b), (c), (d)

Question 43

Consider a sphere of radius R which carries a uniform charge density $\rho$. If a sphere of radius $\dfrac{R}{2}$ is carved out of it, as shown the ratio $\dfrac{|\vec{E}_{A}|}{|\vec{E}_{B}|}$ of magnitude of electric field $\vec{E}_{A}$ and $\vec{E}_{B}$, respectively, at point A and B due to the remaining portion is:

Accepted Answer

(A) $\dfrac{18}{34}$

Answer

(B) $\dfrac{17}{54}$

Answer

(C) $\dfrac{18}{54}$

Answer

(D) $\dfrac{21}{34}$

Question 44

Which of the following is an equivalent cyclic process corresponding to the thermodynamic cyclic given in the figure? Where, $1 	o 2$ is adiabatic. (Graphs are schematic and are not to scale)

Accepted Answer

(D) (D)

Answer

(A) (A)

Answer

(B) (B)

Answer

(C) (C)

Question 45

Both the diodes used in the circuit shown are assumed to be ideal and have negligible resistance when these are forward biased. Built in potential in each diode is 0.7 V. For the input voltages shown in the figure, the voltage (in Volts) at point A is ____.

Accepted Answer

12

Question 46

One end of a straight uniform 1 m long bar is pivoted on horizontal table. It is released from rest when it makes an angle $30^{\circ}$ from the horizontal (see figure). Its angular speed when it hits the table is given as $\sqrt{n}$ s$^{-1}$, where n is an integer. The value of n is ____.

Accepted Answer

15

Question 47

In a fluorescent lamp choke (a small transformer) 100 V of reverse voltage is produced when the choke current changes uniformly from 0.25 A to 0 in a duration of 0.025 ms. The self-inductance of the choke (in mH) is estimated to be ____.

Accepted Answer

10

Question 48

A body of mass m = 10 kg is attached to one end of a wire of length 0.3 m. The maximum angular speed (in rad s$^{-1}$) with which it can be rotated about its other end in space station is (Breaking stress of wire = $4.8 	imes 10^{7}$ Nm$^{-2}$ and area of cross-section of the wire = $10^{-2}$ cm$^{2}$) is

Accepted Answer

4

Question 49

The distance x covered by a particle in one dimensional motion varies with time t as $x^{2} = at^{2} + bt + c$. If the acceleration of the particle depends on x as $x^{-n}$, where n is an integer, the value of n is ____.

Accepted Answer

3

Question 50

If the magnetic moment of a dioxygen species is 1.73 B.M, it may be:

Accepted Answer

(D) O$_2^{-}$ or O$_2^{+}$

Answer

(A) O$_2$, O$_2^{-}$ or O$_2^{+}$

Answer

(B) O$_2$ or O$_2^{-}$

Answer

(C) O$_2$ + O$_2^{+}$

Question 51

The compound that cannot act both as oxidising and reducing agent is:

Accepted Answer

(D) H$_3$PO$_4$

Answer

(A) H$_2$O$_2$

Answer

(B) H$_2$SO$_3$

Answer

(C) HNO$_2$

Question 52

[Pd(F)(Cl)(Br)(I)]$^{2-}$ has n number of geometrical isomers. Then, the spin-only magnetic moment and crystal field stabilisation energy [CFSE] of [Fe(CN)$_6$]$^{n-6}$, respectively, are: [Note: Ignore the pairing energy]

Accepted Answer

(B) 1.73 BM and $-2.0\Delta_0$

Answer

(A) 2.84 BM and $-1.6\Delta_0$

Answer

(C) 5.92 BM and 0

Answer

(D) 0 BM and $-2.4\Delta_0$

Question 53

The electronic configurations of bivalent europium and trivalent cerium are: (atomic number: Xe = 54, Ce = 58, Eu = 63)

Accepted Answer

(B) [Xe] 4f$^7$ and [Xe] 4f$^1$

Answer

(A) [Xe] 4f$^7$ 6s$^2$ and [Xe] 4f$^2$6s$^2$

Answer

(C) [Xe] 4f$^2$ and [Xe] 4f$^7$

Answer

(D) [Xe] 4f$^4$ and [Xe] 4f$^9$

Question 54

For following reactions
A $\xrightarrow{700\ K}$ Product
A $\xrightarrow[	ext{catalyst}]{500\ K}$ Product
it was found that the E$_a$ is decreased by 30 kJ/mol in the presence of catalyst. If the rate remains unchanged, the activation energy for catalysed reaction is (Assume pre exponential factor is same):

Accepted Answer

(C) 75 kJ/mol

Answer

(A) 135 kJ/mol

Answer

(B) 105 kJ/mol

Answer

(D) 198 kJ/mol

Question 55

'X' melts at low temperature and is a bad conductor of electricity in both liquid and solid state. X is:

Accepted Answer

(D) Carbon tetrachloride

Answer

(A) Silicon carbide

Answer

(B) Mercury

Answer

(C) Zinc sulphide

Question 56

The de Broglie wavelength of an electron in the 4$^{th}$ Bohr orbit is:

Accepted Answer

(D) $8\pi a_0$

Answer

(A) $6\pi a_0$

Answer

(B) $4\pi a_0$

Answer

(C) $2\pi a_0$

Question 57

Identify (A) in the following reaction sequence:

Accepted Answer

(B) (B)

Answer

(A) (A)

Answer

(C) (C)

Answer

(D) (D)

Question 58

Complex X of composition Cr(H$_2$O)$_6$Cl$_n$ has a spin only magnetic moment of 3.83 BM. It reacts with AgNO$_3$ and shows geometrical isomerism. The IUPAC nomenclature of X is:

Accepted Answer

(B) Tetraaquadichlorido chromium (III) chloride dihydrate

Answer

(A) Dichloridotetraaqua chromium (IV) chloride dihydrate

Answer

(C) Tetraaquadichlorido chromium (IV) chloride dihydrate

Answer

(D) Hexaaqua chromium (III) chloride

Question 59

The acidic, basic and amphoteric oxides, respectively, are:

Accepted Answer

(D) N$_2$O$_3$, Li$_2$O, Al$_2$O$_3$

Answer

(A) Cl$_2$O, CaO, P$_4$O$_{10}$

Answer

(B) MgO, Cl$_2$O, Al$_2$O$_3$

Answer

(C) Na$_2$O, SO$_3$, Al$_2$O$_3$

Question 60

The K$_{sp}$ for the following dissociation is 1.6 $	imes$ 10$^{-5}$
PbCl$_{2}$ (s) $ightleftharpoons$ Pb$^{2+}$ (aq) + 2Cl$^{-}$ (aq)
Which of the following choices is correct for a mixture of 300 mL 0.134 M Pb(NO$_{3}$)$_{2}$ and 100 mL 0.4 M NaCl?

Accepted Answer

(B) Q > K$_{sp}$

Answer

(A) Not enough data provided

Answer

(C) Q < K$_{sp}$

Answer

(D) Q = K$_{sp}$

Question 61

A chemist has 4 samples of artificial sweetener A, B, C and D. To identify these samples, he performed certain experiments and noted the following observations:
(i) A and D both form blue-violet colour with ninhydrin.
(ii) Lassaigne extract of C gives positive AgNO$_{3}$ test and negative Fe$_{4}$[Fe(CN)$_{6}$]$_{3}$ test.
(iii) Lassaigne extract of B and D gives positive sodium nitroprusside test.
Based on these observations which option is correct?

Accepted Answer

(B) A : Aspartame; B : Saccharin; C : Sucralose; D : Alitame

Answer

(A) A : Aspartame; B : Alitame; C : Saccharin; D : Sucralose

Answer

(C) A : Alitame; B : Saccharin; C : Aspartame; D : Sucralose

Answer

(D) A : Saccharin; B : Alitame; C : Sucralose; D : Aspartame

Question 62

The major product Z obtained in the following reaction scheme is:

Accepted Answer

(B) (B)

Answer

(A) (A)

Answer

(C) (C)

Answer

(D) (D)

Question 63

Which of these will produce the highest yield in Friedel Crafts reaction?

Accepted Answer

(B) (B)

Answer

(A) (A)

Answer

(C) (C)

Answer

(D) (D)

Question 64

B has a smaller first ionization enthalpy than Be. Consider the following statements:
(i) it is easier to remove 2p electron than 2s electron.
(ii) 2p electron of B is more shielded from the nucleus by the inner core of electrons than the 2s electrons of Be.
(iii) 2s electron has more penetration power than 2p electron
(iv) atomic radius of B is more than Be (atomic number B = 5, Be = 4)
The correct statements are:

Accepted Answer

(B) (i), (ii) and (iii)

Answer

(A) (i), (iii) and (iv)

Answer

(C) (i), (ii) and (iv)

Answer

(D) (ii), (iii) and (iv)

JEE Main 9 January 2020 Shift 1 Question Paper with Answers

Physics — JEE Main 9 January 2020 Shift 1

Chemistry — JEE Main 9 January 2020 Shift 1

Mathematics — JEE Main 9 January 2020 Shift 1

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