JEE Main 8 January 2020 Shift 2 Question Paper

Question 1

If the $10^{th}$ term of an A.P. is $\dfrac{1}{20}$ and its $20^{th}$ term is $\dfrac{1}{10}$, then the sum of its first 200 terms is:

Accepted Answer

(C) $100\dfrac{1}{2}$

Answer

(A) 100

Answer

(B) $50\dfrac{1}{4}$

Answer

(D) 50

Question 2

Which of the following statement is a tautology?

Accepted Answer

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

Answer

(A) $\sim(p \wedge \sim q) 	o p \vee q$

Answer

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

Answer

(D) $\sim(p \vee \sim q) 	o p \wedge q$

Question 3

The mean and variance of 20 observations are found to be 10 and 4, respectively. On rechecking, it was found that an observation 9 was incorrect and the correct observation was 11. Then the correct variance is:

Accepted Answer

(D) 3.99

Answer

(A) 4.02

Answer

(B) 3.98

Answer

(C) 4.01

Question 4

The mirror image of the point (1, 2, 3) in a plane is $\left(-\dfrac{7}{3},-\dfrac{4}{3},-\dfrac{1}{3}\right)$. Which of the following points lies on this plane?

Accepted Answer

(A) (1, −1, 1)

Answer

(B) (1, 1, 1)

Answer

(C) (−1, −1, −1)

Answer

(D) (−1, −1, 1)

Question 5

If a hyperbola passes through the point P (10, 16) and it has vertices at $(\pm 6, 0)$ then the equation of the normal to it at P is:

Accepted Answer

(A) $2x+5y=100$

Answer

(B) $x+3y=58$

Answer

(C) $3x+4y=94$

Answer

(D) $x+2y=42$

Question 6

If a line, $y=mx+c$ is a tangent to the circle, $(x-3)^{2}+y^{2}=1$ and it is perpendicular to a line $L_{1}$, where $L_{1}$ is the tangent to the circle, $x^{2}+y^{2}=1$ at the point $\left(\dfrac{1}{\sqrt{2}},\dfrac{1}{\sqrt{2}}\right)$; then:

Accepted Answer

(C) $c^{2}+6c+7=0$

Answer

(A) $c^{2}+7c+6=0$

Answer

(B) $c^{2}-6c+7=0$

Answer

(D) $c^{2}-7c+6=0$

Question 7

Let $\vec{a}=\hat{i}-2\hat{j}+\hat{k}$ and $\vec{b}=\hat{i}-\hat{j}+\hat{k}$ be two vectors. If $\vec{c}$ is a vector such that $\vec{b}	imes\vec{c}=\vec{b}	imes\vec{a}$ and $\vec{c}.\vec{a}=0$, then $\vec{c}.\vec{b}$ is equal to:

Accepted Answer

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

Answer

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

Answer

(C) $-1$

Answer

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

Question 8

Let $f:(1,3)	o R$ be a function defined by $f(x)=\dfrac{x[x]}{1+x^{2}}$, where [x] denotes the greatest integer $\le x$. Then the range of f is:

Accepted Answer

(B) $\left(\dfrac{2}{5},\dfrac{1}{2}\right)\cup\left(\dfrac{3}{5},\dfrac{4}{5}\right]$

Answer

(A) $\left(\dfrac{2}{5},\dfrac{4}{5}\right]$

Answer

(C) $\left(\dfrac{3}{5},\dfrac{4}{5}\right)$

Answer

(D) $\left(\dfrac{2}{5},\dfrac{3}{5}\right]\cup\left(\dfrac{3}{4},\dfrac{4}{5}\right)$

Question 9

Let $\alpha=\dfrac{-1+i\sqrt{3}}{2}$. If $a=(1+\alpha)\displaystyle\sum_{k=0}^{100}\alpha^{2k}$ and $b=\displaystyle\sum_{k=0}^{100}\alpha^{3k}$, then a and b are the roots of the quadratic equation:

Accepted Answer

(B) $x^{2}-102x+101=0$

Answer

(A) $x^{2}-101x+100=0$

Answer

(C) $x^{2}+102x+101=0$

Answer

(D) $x^{2}+101x+100=0$

Question 10

$\displaystyle\lim_{x	o 0}\dfrac{\int_{0}^{x} t\sin(10t)\,dt}{x}$ is equal to:

Accepted Answer

(A) 0

Answer

(B) $\dfrac{1}{10}$

Answer

(C) $-\dfrac{1}{5}$

Answer

(D) $-\dfrac{1}{10}$

Question 11

The system of linear equations $\lambda x+2y+2z=5$, $2\lambda x+3y+5z=8$, $4x+\lambda y+6z=10$ has:

Accepted Answer

(C) no solution when $\lambda=2$

Answer

(A) no solution when $\lambda=8$

Answer

(B) infinitely many solutions when $\lambda=2$

Answer

(D) a unique solution when $\lambda=-8$

Question 12

If $\alpha$ and $\beta$ be the coefficients of $x^{4}$ and $x^{2}$ respectively in the expansion of $\left(x+\sqrt{x^{2}-1}\right)^{6}+\left(x-\sqrt{x^{2}-1}\right)^{6}$, then:

Accepted Answer

(C) $\alpha-\beta=-132$

Answer

(A) $\alpha+\beta=-30$

Answer

(B) $\alpha-\beta=60$

Answer

(D) $\alpha+\beta=60$

Question 13

The differential equation of the family of curves, $x^{2}=4b\left(y+b\right), b \in R$, is:

Accepted Answer

(C) $x\left(y'\right)^{2}=x+2yy'$

Answer

(A) $xy''=y'$

Answer

(B) $x\left(y'\right)^{2}=x-2yy'$

Answer

(D) $x\left(y'\right)^{2}=2yy'-x$

Question 14

The length of the perpendicular from the origin, 0n the normal to the curve, $x^{2}+2xy-3y^{2}=0$ at the point (2, 2) is:

Accepted Answer

(A) $2\sqrt{2}$

Answer

(B) $4\sqrt{2}$

Answer

(C) $\sqrt{2}$

Answer

(D) $2$

Question 15

If $A=\begin{pmatrix}2 & 2\9 & 4\end{pmatrix}$ and $I=\begin{pmatrix}1 & 0\0 & 1\end{pmatrix}$, then $10A^{-1}$ is equal to:

Accepted Answer

(B) $A-6I$

Answer

(A) $4I-A$

Answer

(C) $A-4I$

Answer

(D) $6I-A$

Question 16

Let A and B be two events such that the probability that exactly one of them occurs is $\frac{2}{5}$ and the probability that A or B occurs is $\frac{1}{2}$, then the probability of both of them occur together is:

Accepted Answer

(B) 0.10

Answer

(A) 0.01

Answer

(C) 0.20

Answer

(D) 0.02

Question 17

If $I=\int_{1}^{2}\dfrac{dx}{\sqrt{2x^{3}-9x^{2}+12x+4}}$, then:

Accepted Answer

(B) $\dfrac{1}{9}<I^{2}<\dfrac{1}{8}$

Answer

(A) $\dfrac{1}{16}<I^{2}<\dfrac{1}{9}$

Answer

(C) $\dfrac{1}{8}<I^{2}<\dfrac{1}{4}$

Answer

(D) $\dfrac{1}{6}<I^{2}<\dfrac{1}{2}$

Question 18

Let S be the set of all real roots of the equation, $3^{x}\left(3^{x}-1\right)+2=\left|3^{x}-1\right|+\left|3^{x}-2\right|$. Then S:

Accepted Answer

(B) is a singleton

Answer

(A) contains at least four elements

Answer

(C) is an empty set

Answer

(D) contains exactly two elements

Question 19

Let $f(x)$ be a polynomial of degree 3 such that $f(-1)=10, f(1)=-6$, $f(x)$ has a critical point at $x=-1$ and $f'(x)$ has a critical point at $x=1$. Then $f(x)$ has a local minima at x=_______.

Accepted Answer

3

Question 20

Let aline $y=mx$ $(m>0)$ intersect the parabola, $y^{2}=x$ at a point P, other than the origin. Let the tangent to it at P meet the x - axis at the point Q. If area $\left(\Delta OPQ\right)=4$ sq. units, then m is equal to ___________.

Accepted Answer

0.5

Question 21

The sum $\sum_{n=1}^{7}\dfrac{n(n+1)(2n+1)}{4}$ is equal to ___________.

Accepted Answer

504

Question 22

The number of 4 letter words (with or without meaning) that can be formed from the eleven letters of the word 'EXAMINATION' is ___________.

Accepted Answer

2454

Question 23

If $\dfrac{\sqrt{2}\sin\alpha}{\sqrt{1+\cos2\alpha}}=\dfrac{1}{7}$ and $\sqrt{\dfrac{1-\cos2\beta}{2}}=\dfrac{1}{\sqrt{10}}$, $\alpha,\beta\in\left(0,\dfrac{\pi}{2}ight)$, then $	an\left(\alpha+2\betaight)$ is equal to __________.

Accepted Answer

1

Question 24

A simple pendulum is being used to determine the vale of gravitational acceleration g at a certain place. The length of the pendulum is 25.0 cm and a stop watch with 1 s resolution measures the time taken for 40 oscillations to be 50 s. The accuracy in g is:

Accepted Answer

(A) 4.40%

Answer

(B) 2.40%

Answer

(C) 3.40%

Answer

(D) 5.40%

Question 25

A Carnot engine having an efficiency of $\frac{1}{10}$ is being used as a refrigerator. If the work done on the refrigerator is 10 J, the amount of heat absorbed from the reservoir at lower temperature is:

Accepted Answer

(D) 90 J

Answer

(A) 99 J

Answer

(B) 100 J

Answer

(C) 1 J

Question 26

Consider two charged metallic spheres S$_{1}$ and S$_{2}$ of radii R$_{1}$ and R$_{2}$, respectively. The electric fields E$_{1}$ (on S$_{1}$) and E$_{2}$ (on S$_{2}$) on their surfaces are such that E$_{1}$/E$_{2}$ = R$_{1}$/R$_{2}$. Then the ratio of V$_{1}$ (on S$_{1}$) / V$_{2}$ (on S$_{2}$) of the electrostatic potentials on each sphere is:

Accepted Answer

(A) $(R_{1}/R_{2})^{2}$

Answer

(B) $\left(\dfrac{R_{1}}{R_{2}}\right)^{3}$

Answer

(C) $(R_{2}/R_{1})$

Answer

(D) $R_{1}/R_{2}$

Question 27

As shown in the figure, a battery of emf $\varepsilon$ is connected to an inductor L and resistance R in series. The switch is closed at t = 0. The total charge that flows from the battery, between t = 0 and t = t$_{c}$ (t$_{c}$ is the time constant of the circuit) is

Accepted Answer

(A) $\dfrac{\varepsilon L}{eR^{2}}$

Answer

(B) $\dfrac{\varepsilon L}{R^{2}}\left(1-\dfrac{1}{e}\right)$

Answer

(C) $\dfrac{\varepsilon R}{eL^{2}}$

Answer

(D) $\dfrac{\varepsilon L}{R^{2}}$

Question 28

A very long wire ABADMNDC is shown in figure carrying current I. AB and BC parts are straight, long and at right angle. At D wire forms a circular turn DMND of radius R. AB, BC parts are tangential to circular turn at N and D. Magnetic field at the centre of circle is:

Accepted Answer

(D) $\dfrac{\mu_{0} I}{2\pi R}\left(\pi+\dfrac{1}{\sqrt{2}}\right)$

Answer

(A) $\dfrac{\mu_{0} I}{2R}$

Answer

(B) $\dfrac{\mu_{0} I}{2\pi R}\left(\pi-\dfrac{1}{\sqrt{2}}\right)$

Answer

(C) $\dfrac{\mu_{0} I}{2\pi R}(\pi+1)$

Question 29

A uniform sphere of mass 500 g rolls without slipping on a plane horizontal surface with its centre moving at a speed of 5.00 cm/s. Its kinetic energy is:

Accepted Answer

(A) $8.75	imes 10^{-4}$ J

Answer

(B) $8.75	imes 10^{-3}$ J

Answer

(C) $6.25	imes 10^{-4}$ J

Answer

(D) $1.13	imes 10^{-3}$ J

Question 30

In a double-slit experiment, at a certain point on the screen the path difference between the two interfering waves is $\dfrac{1}{8}$th of a wavelength. The ratio of the intensity of light at that point to that at the centre of a bright fringe is:

Accepted Answer

(D) 0.853

Answer

(A) 0.672

Answer

(B) 0.568

Answer

(C) 0.760

Question 31

A particle of mass m is dropped from a height h above the ground. At the same time another particle of same mass is thrown vertically upwards from the ground with a speed of $\sqrt{2gh}$. If they collide head-on completely inelastically, the time taken for the combined mass to reach the ground, in units of $\sqrt{\dfrac{h}{g}}$ is:

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 32

A particle moves such that its position vector $\vec{r}(t)=\cos\omega \hat{i}+\sin\omega t\hat{j}$ where $\omega$ is a constant and t is time. Then which of the following statements is true for the velocity $\vec{v}(t)$ and acceleration $\vec{a}(t)$ of the particle:

Accepted Answer

(A) $\vec{v}$ is perpendicular to $\vec{r}$ and $\vec{a}$ is directed towards the origin.

Answer

(B) $\vec{v}$ and $\vec{a}$ both are parallel to $\vec{r}$

Answer

(C) $\vec{v}$ is perpendicular to $\vec{r}$ and $\vec{a}$ is directed away from the origin.

Answer

(D) $\vec{v}$ and $\vec{a}$ both are perpendicular to $\vec{r}$

Question 33

Consider a mixture of n moles of helium gas and 2n moles of oxygen gas (molecules taken to be rigid) as an ideal gas. It C$_{P}$/C$_{V}$ value will be

Accepted Answer

(A) 19/13

Answer

(B) 40/27

Answer

(C) 67/45

Answer

(D) 23/15

Question 34

A capacitor is made of two square plats each of side 'a' making a very small angle a between them, as shown in figure. The capacitance will be close to:

Accepted Answer

(D) $\dfrac{\epsilon_{0} a^{2}}{d}\left(1-\dfrac{\alpha a}{2d}\right)$

Answer

(A) $\dfrac{\epsilon_{0} a^{2}}{d}\left(1+\dfrac{\alpha a}{d}\right)$

Answer

(B) $\dfrac{\epsilon_{0} a^{2}}{d}\left(1-\dfrac{\alpha a}{4d}\right)$

Answer

(C) $\dfrac{\epsilon_{0} a^{2}}{d}\left(1-\dfrac{3\alpha a}{2d}\right)$

Question 35

Two liquids of densities $\rho_{1}$ and $\rho_{2}$($\rho_{2}$ = 2$\rho_{1}$) are filled up behind a square wall of inside 10 m as shown in figure. Each liquid has a height of 5 m. The ratio of the forces due to these liquids exerted on upper part MN to that at the lower part NO is (Assume that the liquids are not mixing):

Accepted Answer

(B) 1/4

Answer

(A) 1/2

Answer

(C) 2/3

Answer

(D) 1/3

Question 36

A plane electromagnetic wave of frequency 25 GHz is propagating in vacuum along the z-direction. At a particular point in space and time, the magnetic field is given by $\vec{B}=5	imes 10^{-8}\hat{j}$ T. The corresponding electric field $\vec{E}$ is (speed of light c = $3	imes 10^{8}$ ms$^{-1}$)

Accepted Answer

(C) $15\hat{i}$ V/m

Answer

(A) $-1.66	imes 10^{-16}\hat{i}$ V/m

Answer

(B) $-15\hat{i}$ V/m

Answer

(D) $1.66	imes 10^{-16}\hat{i}$ V/m

Question 37

An electron (mass m) with initial velocity $\vec{v} = v_0\hat{i} + v_0\hat{j}$ is in an electric field $\vec{E} = -E_0\hat{k}$. If $\lambda_0$ is initial de-Broglie wavelength of electron, its de-Broglie wavelength at time t is given by

Accepted Answer

(D) $\dfrac{\lambda_0}{\sqrt{1+\dfrac{e^{2}E^{2}t^{2}}{2m^{2}v_0^{2}}}}$

Answer

(A) $\dfrac{\lambda_0}{\sqrt{1+\dfrac{e^{2}E_0^{2}t^{2}}{m^{2}v_0^{2}}}}$

Answer

(B) $\dfrac{\lambda_0}{\sqrt{2+\dfrac{e^{2}E^{2}t^{2}}{m^{2}v_0^{2}}}}$

Answer

(C) $\dfrac{\lambda_0\sqrt{2}}{\sqrt{1+\dfrac{e^{2}E^{2}t^{2}}{m^{2}v_0^{2}}}}$

Question 38

A transverse wave travels on a taut steel wire wit a velocity of v when tension in it is 2.06 $	imes$ 10$^{4}$ N. When the tension is changed to T, the velocity changed to v/2. The value of T is close to:

Accepted Answer

(C) 5.15 $	imes$ 10$^{3}$ N

Answer

(A) 10.2 $	imes$ 10$^{2}$ N

Answer

(B) 30.5 $	imes$ 10$^{4}$ N

Answer

(D) 2.50 $	imes$ 10$^{4}$ N

Question 39

An object is gradually moving away from the focal point of a concave mirror along the axis of the mirror. The graphical representation of the magnitude of linear magnification (m) versus distance of the object from the mirror (x) is correctly given by (Graphs are drawn schematically and are not to scale)

Accepted Answer

(D) (D)

Answer

(A) (A)

Answer

(B) (B)

Answer

(C) (C)

Question 40

A particle of mass m and charge q is released from rest in a uniform electric field. If there is no other force on the particle, the dependence of its speed v on the distance x travelled by it is correctly given by (graphs are schematic and not drawn to scale)

Accepted Answer

(D) (D)

Answer

(A) (A)

Answer

(B) (B)

Answer

(C) (C)

Question 41

As shown in figure when a spherical cavity (centered at O) of radius 1 is cut out of a uniform sphere of radius R (centred at C), the centre of mass of remaining (shaded) part of sphere is at G, i.e. on the surface of the cavity. R can be determined by the equation:

Accepted Answer

(A) (R$^{2}$ + R + 1) (2 $-$ R) = 1

Answer

(B) (R$^{2}$ + R $-$ 1) (2 $-$ R) = 1

Answer

(C) (R$^{2}$ $-$ R + 1) (2 $-$ R) = 1

Answer

(D) (R$^{2}$ $-$ R $-$ 1) (2 $-$ R) = 1

Question 42

In the given circuit, value of Y is

Accepted Answer

(A) 0

Answer

(B) 1

Answer

(C) toggles between 0 and 1

Answer

(D) will not execute

Question 43

A galvanometer having a coil resistance 100 Ω gives a full scale deflection when a current of 1 mA is passed through it. What is the value of the resistance which can convert this galvanometer into a voltmeter giving full scale deflection for a potential difference of 10 V.

Accepted Answer

(A) 9.9 kΩ

Answer

(B) 7.9 kΩ

Answer

(C) 10 kΩ

Answer

(D) 8.9 kΩ

Question 44

The first member of the Balmer series of hydrogen atom has a wavelength of 6561 Å. The wavelength of the second member of the Balmer series (in nm) is ____.

Accepted Answer

486

Question 45

The series combination of two batteries, both of the same emf 10 V, but different internal resistance of 20 Ω and 5 Ω, is connected to the parallel combination of two resistors 30 Ω and R Ω. The voltage difference across the battery of internal resistance 20 Ω is zero, the value of R (in Ω) is ____.

Accepted Answer

30

Question 46

An asteroid is moving directly towards the centre of the earth. When at a distance of 10 R (R is the radius of the earth) from he earths centre, it has a speed of 12 km/s. Neglecting the effect of earths atmosphere, what will be the speed of the asteroid when it hits the surface of the earth (escape velocity form the earth is 11.2 km/s)? Given your answer to the nearest integer in kilometer/s ____.

Accepted Answer

16

Question 47

Three containers C$_1$, C$_2$ and C$_3$ have water at different temperatures. The table below shows the final temperature T when different amounts of water (given in liters) are taken from each container and mixed (assume no loss of heat during the process) The value of $	heta$ (in °C to the nearest integer) is ____.

Accepted Answer

50

Question 48

The increasing order of the atomic radii of the following elements is: (a) C (b) O (c) F (d) Cl (e) Br

Accepted Answer

(C) (c) < (b) < (a) < (d) < (e)

Answer

(A) (a) < (b) < (c) < (d) < (e)

Answer

(B) (d) < (c) < (b) < (a) < (e)

Answer

(D) (b) < (c) < (d) < (a) < (e)

Question 49

Kjeldahl's method cannot be used to estimate nitrogen for which of the following compounds?

Accepted Answer

(C) C$_6$H$_5$NO$_2$

Answer

(A) NH$_2$-C(=O)-NH$_2$

Answer

(B) C$_6$H$_5$NH$_2$

Answer

(D) CH$_3$CH$_2$-C$\equiv$N

Question 50

Consider the following plots of rate constant versus $\dfrac{1}{T}$ for four different reactions. Which of the following order is correct for the activation energies of these reactions?

Accepted Answer

(A) E$_c$ > E$_a$ > E$_d$ > E$_b$

Answer

(B) E$_b$ > E$_d$ > E$_c$ > E$_a$

Answer

(C) E$_a$ > E$_c$ > E$_d$ > E$_b$

Answer

(D) E$_b$ > E$_a$ > E$_d$ > E$_c$

Question 51

White phosphorus on reaction with concentrated NaOH solution in an inert atmosphere of CO$_2$ gives phosphine and compound (X). (X) on acidification with HCl gives compound (Y). The basicity of compound (Y) is:

Accepted Answer

(D) 1

Answer

(A) 2

Answer

(B) 4

Answer

(C) 3

Question 52

The major product [B] in the following sequence is: CH$_3$-C(CH(CH$_3$)$_2$)=CH-CH$_2$CH$_3$ $\xrightarrow{	ext{(i) B}_2	ext{H}_6	ext{; (ii) H}_2	ext{O}_2	ext{, OH}^-}$ [A] $\xrightarrow[\Delta]{	ext{dil. H}_2	ext{SO}_4}$ [B]

Accepted Answer

(D) CH$_3$-C(CH$_2$CH$_2$CH$_3$)=C(CH$_3$)$_2$

Answer

(A) CH$_3$-CH(CH(CH$_3$)$_2$)-CH=CH-CH$_3$

Answer

(B) CH$_3$-C(CH(CH$_3$)$_2$)=CH-CH$_2$CH$_3$

Answer

(C) CH$_2$=C(CH(CH$_3$)$_2$)-CH$_2$CH$_2$CH$_3$

Question 53

Among (a) - (d), the complexes that can display geometrical isomerism are: (a) [Pt(NH$_3$)$_3$]Cl$^+$ (b) [Pt(NH$_3$)Cl$_5$]$^-$ (c) [Pt(NH$_3$)$_2$Cl(NO$_2$)] (d) [Pt(NH$_3$)$_4$ClBr]$^{2+}$

Accepted Answer

(B) (c) and (d)

Answer

(A) (d) and (a)

Answer

(C) (b) and (c)

Answer

(D) (a) and (b)

Question 54

The major product in the following reaction is:

Accepted Answer

(A) (A)

Answer

(B) (B)

Answer

(C) (C)

Answer

(D) (D)

Question 55

Among the reactions (a)-(d), the reaction(s) that does/do not occur in the blast furnace during the extraction of iron is/are: (a) CaO + SiO$_2$ $\rightarrow$ CaSiO$_3$ (b) 3Fe$_2$O$_3$ + CO $\rightarrow$ 2Fe$_3$O$_4$ + CO$_2$ (c) FeO + SiO$_2$ $\rightarrow$ FeSiO$_3$ (d) FeO $\rightarrow$ Fe + $\dfrac{1}{2}$O$_2$

Accepted Answer

(A) (c) and (d)

Answer

(B) (a)

Answer

(C) (a) and (d)

Answer

(D) (d)

Question 56

A metal (A) on heating in nitrogen gas gives compound B. B on treatment with H$_2$O gives a colourless gas which when passed through CuSO$_4$ solution gives a dark blue-violet coloured solution. A and B respectively, are:

Accepted Answer

(C) Mg and Mg$_3$N$_2$

Answer

(A) Mg and Mg(NO$_3$)$_2$

Answer

(B) Na and NaNO$_3$

Answer

(D) Na and Na$_3$N

Question 57

Two monomers in maltose are:

Accepted Answer

(C) $\alpha$-D-glucose and $\alpha$-D-glucose

Answer

(A) $\alpha$-D-glucose and $\alpha$-D-galactose

Answer

(B) $\alpha$-D-glucose and $\beta$-D-glucose

Answer

(D) $\alpha$-D-glucose and $\alpha$-D-Fructose

Question 58

The correct order of the calculated spin-only magnetic moments of complexes (A) to (D) is: (a) Ni(CO)$_4$ (b) [Ni(H$_2$O)$_6$]Cl$_2$ (c) Na$_2$[Ni(CN)$_4$] (d) PdCl$_2$(PPh$_3$)$_2$

Accepted Answer

(C) (a) $\approx$ (c) $\approx$ (d) < (b)

Answer

(A) (c) $\approx$ (d) < (b) < (a)

Answer

(B) (a) $\approx$ (c) < (b) $\approx$ (d)

Answer

(D) (c) < (d) < (b) < (a)

Question 59

An unsaturated hydrocarbon X absorbs two hydrogen molecules on catalytic hydrogenation, and also gives following reaction: X $\xrightarrow[	ext{Zn/H}_2	ext{O}]{	ext{O}_3}$ A $\xrightarrow{[	ext{Ag(NH}_3)_2]^+}$ B(3-oxo-hexanedicarboxylic acid) X will be :

Accepted Answer

(D) (D)

Answer

(A) (A)

Answer

(B) (B)

Answer

(C) (C)

Question 60

Hydrogen has three isotopes (a), (b) and (c). If the number of neutron(s) in (a), (b) and (c) respectively, are (x), (y) and (z), the sum of (x), (y) and (z) is:

Accepted Answer

(B) 3

Answer

(A) 4

Answer

(C) 2

Answer

(D) 1

Question 61

Which of the following compound is likely to show both Frenkel and Schottky defects in its crystalline form?

Accepted Answer

(B) AgBr

Answer

(A) CsCl

Answer

(C) ZnS

Answer

(D) KBr

Question 62

Arrange the following bonds according to their average bond energies in descending order: C–Cl, C–Br, C–F, C–I

Accepted Answer

(A) C–F > C–Cl > C–Br > C–I

Answer

(B) C–I > C–Br > C–Cl > C–F

Answer

(C) C–Cl > C–Br > C–I > C–F

Answer

(D) C–Br > C–I > C–Cl > C–F

Question 63

Preparation of Bakelite proceeds via reactions:

Accepted Answer

(A) Electrophilic substitution and dehydration

Answer

(B) Condensation and elimination

Answer

(C) Electrophilic addition and dehydration

Answer

(D) Nucleophilic addition and dehydration

Question 64

The radius of the second Bohr orbit, in terms of the Bohr radius, $a_0$, in $Li^{2+}$ is

Accepted Answer

(A) $\dfrac{4a_0}{3}$

Answer

(B) $\dfrac{2a_0}{9}$

Answer

(C) $\dfrac{2a_0}{3}$

Answer

(D) $\dfrac{4a_0}{9}$

C $_1$	C $_2$	C $_3$	T
1 l	2 l	—	60°C
—	1 l	2 l	30°C
2 l	—	1 l	60°C
1 l	1 l	1 l	$\theta$

JEE Main 8 January 2020 Shift 2 Question Paper with Answers

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