JEE Main 7 January 2020 Shift 2 Question Paper

Question 1

The number of ordered pairs (r, k) for which $6\cdot\,^{35}C_r=(k^{2}-3)\cdot\,^{36}C_{r+1}$, where k is an integer, is:

Accepted Answer

(C) 4

Answer

(A) 3

Answer

(B) 6

Answer

(D) 2

Question 2

If $3x+4y=12\sqrt{2}$ is a tangent to the ellipse $\frac{x^2}{a^2}+\frac{y^2}{9}=1$ for some $a \in R$, then the distance between the foci of the ellipse is:

Accepted Answer

(B) $2\sqrt{7}$

Answer

(A) $2\sqrt{2}$

Answer

(C) $4$

Answer

(D) $2\sqrt{5}$

Question 3

If the sum of the first 40 terms of the series, $3+4+8+9+13+14+18+19+....$ is (102)m, then m is equal to:

Accepted Answer

(C) 20

Answer

(A) 10

Answer

(B) 5

Answer

(D) 25

Question 4

Let $A=[a_{ij}]$ and $B=[b_{ij}]$ be two $3	imes 3$ real matrices such that $b_{ij}=(3)^{(i+j-2)}a_{ji}$, where $i,j=1,2,3$. If the determinant of B is 81, then the determinant of A is:

Accepted Answer

(B) $\dfrac{1}{9}$

Answer

(A) $\dfrac{1}{3}$

Answer

(C) $\dfrac{1}{81}$

Answer

(D) 3

Question 5

The value of c in the Lagrange's mean value theorem for the function $f(x)=x^{3}-4x^{2}+8x+11$, when $x\in[0,1]$ is:

Accepted Answer

(C) $\dfrac{4-\sqrt{7}}{3}$

Answer

(A) $\dfrac{\sqrt{7}-2}{3}$

Answer

(B) $\dfrac{4-\sqrt{5}}{3}$

Answer

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

Question 6

The value of $\alpha$ for which $4\alpha\int_{-1}^{2} e^{-\alpha|x|}\,dx=5$, is

Accepted Answer

(D) $\log_e 2$

Answer

(A) $\log_e\left(\frac{3}{2}\right)$

Answer

(B) $\log_e\left(\frac{4}{3}\right)$

Answer

(C) $\log_e\sqrt{2}$

Question 7

Let $y=y(x)$ be a function of x satisfying $y\sqrt{1-x^{2}}=k-x\sqrt{1-y^{2}}$ where k is a constant and $y\left(\dfrac{1}{2}\right)=-\dfrac{1}{4}$. Then $\dfrac{dy}{dx}$ at $x=\dfrac{1}{2}$, is equal to:

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 8

Let $y=y(x)$ be the solution curve of the differential equation, $(y^{2}-x)\dfrac{dy}{dx}=1$, satisfying $y(0)=1$. This curve intersects the x-axis at a point whose abscissa is:

Accepted Answer

(D) $2-e$

Answer

(A) $2+e$

Answer

(B) $-e$

Answer

(C) 2

Question 9

Let $f(x)$ be a polynomial of degree 5 such that $x=\pm1$ are its critical points. If $\displaystyle\lim_{x	o0}\left(2+\dfrac{f(x)}{x^{3}}ight)=4$, then which one of the following is not true?

Accepted Answer

(A) x = 1 is a point of minima and x = -1 is a point of maxims of f.

Answer

(B) x = 1 is a point of maxima and x = -1 is a point of minimum of f

Answer

(C) f is an odd function

Answer

(D) $f(1)-4f(-1)=4$

Question 10

The area (in sq. units of the region $\{(x,y)\in R^{2}\,|\,4x^{2}\le y\le 8x+12\}$ is:

Accepted Answer

(C) $\dfrac{128}{3}$

Answer

(A) $\dfrac{124}{3}$

Answer

(B) $\dfrac{125}{3}$

Answer

(D) $\dfrac{127}{3}$

Question 11

The locus of the mid-points of the perpendiculars drawn from points on the line, $x=2y$ to the line $x=y$ is:

Accepted Answer

(D) $5x-7y=0$

Answer

(A) $7x-5y=0$

Answer

(B) $3x-2y=0$

Answer

(C) $2x-3y=0$

Question 12

Let $a_1,a_2,a_3,........$ be a G.P. such that $a_1<0, a_1+a_2=4$ and $a_3+a_4=16$. If $\displaystyle\sum_{i=1}^{9}a_i=4\lambda$, then $\lambda$ is equal to:

Accepted Answer

(A) -171

Answer

(B) -513

Answer

(C) 171

Answer

(D) $\dfrac{511}{3}$

Question 13

Let $\alpha$ and $\beta$ be the roots of the equation $x^{2}-x-1=0$. If $P_{k}=(\alpha)^{k}+(\beta)^{k}, k \ge 1$, then which one of the following statements is not true?

Accepted Answer

(D) $p_{5}=p_{2}.p_{3}$

Answer

(A) $p_{5}=11$

Answer

(B) $(p_{1}+p_{2}+p_{3}+p_{4}+p_{5})=26$

Answer

(C) $p_{3}=p_{5}-p_{4}$

Question 14

If $\dfrac{3+i\sin	heta}{4-i\cos	heta}, 	heta \in [0,2\pi]$, is a real number, then an argument of $\sin	heta+i\cos	heta$ is:

Accepted Answer

(B) $\pi-	an^{-1}\left(\dfrac{4}{3}ight)$

Answer

(A) $-	an^{-1}\left(\dfrac{3}{4}ight)$

Answer

(C) $\pi-	an^{-1}\left(\dfrac{3}{4}ight)$

Answer

(D) $	an^{-1}\left(\dfrac{4}{3}ight)$

Question 15

In a workshop, there are five machines and the probability of any one of them to be out of service on a day is $\dfrac{1}{4}$. If the probability that at most two machines will be out of service on the same day is $\left(\dfrac{3}{4}\right)^{3}k$, then k is equal to:

Accepted Answer

(B) $\dfrac{17}{8}$

Answer

(A) $4$

Answer

(C) $\dfrac{17}{2}$

Answer

(D) $\dfrac{17}{4}$

Question 16

Let the tangents drawn from the origin to the circle, $x^{2}+y^{2}-8x-4y+16=0$ touch it at the points A and B. Then $(AB)^{2}$ is equal to:

Accepted Answer

(C) $\dfrac{64}{5}$

Answer

(A) $\dfrac{56}{5}$

Answer

(B) $\dfrac{32}{5}$

Answer

(D) $\dfrac{52}{5}$

Question 17

If $	heta_{1}$ and $	heta_{2}$ be respectively the smallest and the largest values of $	heta$ in $(0,2\pi)-\{\pi\}$ which satisfy the equation, $2\cot^{2}	heta-\dfrac{5}{\sin	heta}+4=0$, then $\displaystyle\int_{	heta_{1}}^{	heta_{2}}\cos^{2}3	heta \, d	heta$ is equal to:

Accepted Answer

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

Answer

(A) $\dfrac{\pi}{3}+\dfrac{1}{6}$

Answer

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

Answer

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

Question 18

Let A, B, C and D be four non-empty sets. The contrapositive statement of "If $A \subseteq B$ and $B \subseteq D$, then $A \subseteq C$" is:

Accepted Answer

(C) If $A 
ot\subseteq C$, then $A 
ot\subseteq B$ or $B 
ot\subseteq D$

Answer

(A) If $A \subseteq C$, then $B \subset A$ or $D \subset B$

Answer

(B) If $A 
ot\subseteq C$, then $A 
ot\subseteq B$ or $B \subseteq D$

Answer

(D) If $A 
ot\subseteq C$, then $A \subseteq B$ or $B \subseteq D$

Question 19

If the function f defined on $\left(-\dfrac{1}{3},\dfrac{1}{3}ight)$ by $f(x)=\begin{cases}\dfrac{1}{x}\log_{e}\left(\dfrac{1+3x}{1-2x}ight), & 	ext{when } x 
e 0 \ k, & 	ext{when } x=0\end{cases}$ is continuous, then k is equal to __________.

Accepted Answer

5

Question 20

If the system of linear equations, $x+y+z=6$, $x+2y+3z=10$, $3x+2y+\lambda z=\mu$ has more than two solutions, then $\mu-\lambda^{2}$ is equal to __________.

Accepted Answer

13

Question 21

If the mean and variance of eight numbers 3, 7, 9, 12, 13, 20, x and y be 10 and 25 respectively, then xy is equal to __________.

Accepted Answer

54

Question 22

If the foot of the perpendicular drawn from the point (1, 0, 3) on a line passing through $(\alpha,7,1)$ is $\left(\dfrac{5}{3},\dfrac{7}{3},\dfrac{17}{3}\right)$, then $\alpha$ is equal to __________.

Accepted Answer

4

Question 23

Let $X=\{n \in N : 1 \le n \le 50\}$. If $A=\{n \in X : n 	ext{ is a multiple of } 2\}$ and $B=\{n \in X, n 	ext{ is a multiple of } 7\}$, then the number of elements in the smallest subset of X containing both A and B is __________.

Accepted Answer

29

Question 24

A particle of mass m and charge q has an initial velocity $\vec{v} = v_0\hat{j}$. If an electric field $\vec{E} = E_0\hat{i}$ and magnetic field $\vec{B} = B_0\hat{i}$ act on the particle, its speed will double after a time:

Accepted Answer

(C) $\dfrac{\sqrt{3}mv_0}{qE_0}$

Answer

(A) $\dfrac{2mv_0}{qE_0}$

Answer

(B) $\dfrac{\sqrt{2}mv_0}{qE_0}$

Answer

(D) $\dfrac{3mv_0}{qE_0}$

Question 25

In a building there are 15 bulbs of 45 W, 15 bulbs of 100 W, 15 small fans of 10 W and 2 heaters of 1 kW. The voltage of electric main is 220 V. The minimum fuse capacity (rated value) of the building will be

Accepted Answer

(B) 20 A

Answer

(A) 10 A

Answer

(C) 25 A

Answer

(D) 15 A

Question 26

An electron (of mass m) and a photon have the same energy E in the range of a few eV. The ratio of the de-Broglie wavelength associated with the electron and the wavelength of the photon is (c = speed of light in vacuum)

Accepted Answer

(B) $\dfrac{1}{c}\left(\dfrac{E}{2m}\right)^{1/2}$

Answer

(A) c(2mE)$^{1/2}$

Answer

(C) $\dfrac{1}{c}\left(\dfrac{2E}{m}\right)^{1/2}$

Answer

(D) $\left(\dfrac{E}{2m}\right)^{1/2}$

Question 27

A thin lens made of glass (refractive index = 1.5) of focal length f = 16 cm is immersed in a liquid of refractive index 1.42. If its focal length in liquid is f$_{\ell}$, then the ratio f$_{\ell}$/f is closest to the integer:

Accepted Answer

(C) 9

Answer

(A) 17

Answer

(B) 1

Answer

(D) 5

Question 28

A stationary observer receives sound from two identical tuning forks, one of which approaches and the other one recedes with the same speed (much les than the speed of sound). The observers hears 2 beats/sec. The oscillation frequency of each tuning fork is $
u_0$ = 1400 Hz and the velocity of sound in air is 350 m/s. The speed of each tuning fork is close to:

Accepted Answer

(A) $\dfrac{1}{4}$ m/s

Answer

(B) 1 m/s

Answer

(C) $\dfrac{1}{2}$ m/s

Answer

(D) $\dfrac{1}{8}$ m/s

Question 29

Mass per unit are of a circular disc of radius a depends on the distance r from its centre as $\sigma(r) = A + Br$. The moment of inertia of the disc about the axis, perpendicular to the plane and passing through its centre is:

Accepted Answer

(B) $2\pi a^{4}\left(\dfrac{A}{4}+\dfrac{aB}{5}\right)$

Answer

(A) $2\pi a^{4}\left(\dfrac{A}{4}+\dfrac{B}{5}\right)$

Answer

(C) $2\pi a^{4}\left(\dfrac{aA}{4}+\dfrac{B}{5}\right)$

Answer

(D) $\pi a^{4}\left(\dfrac{A}{4}+\dfrac{aB}{5}\right)$

Question 30

A planar loop of wire rotates in a uniform magnetic field. Initially, at t = 0, the plane of the loop is perpendicular to the magnetic field. If it rotates with a period of 10 s about an axis in its plane then the magnitude of induced emf will be maximum and minimum, respectively at:

Accepted Answer

(A) 2.5 s and 5.0 s

Answer

(B) 5.0 s and 10.0 s

Answer

(C) 2.5 s and 7.5 s

Answer

(D) 5.0 and 7.5 s

Question 31

Two ideal Carnot engines operate in cascade (all heat given up by one engine is used by the other engine to produce work) between temperatures, T$_1$ and T$_2$. The temperature of the hot reservoir of the first engine is T$_1$ and the temperature of the cold reservoir of the second engine is T$_2$. T is temperature of the sink of first engine which is also the source for the second engine. How is T related to T$_1$ and T$_2$, if both the engines perform equal amount of work?

Accepted Answer

(B) T = $\dfrac{T_1+T_2}{2}$

Answer

(A) T = $\sqrt{T_1T_2}$

Answer

(C) T = $\dfrac{2T_1T_2}{T_1+T_2}$

Answer

(D) T = 0

Question 32

A box weighs 196 N on a spring balance at the north pole. Its weight recorded on the same balance if it is shifted to the equator is close to (Take g = 10 ms$^{-2}$ at the north pole and the radius of the earth = 6400 km)

Accepted Answer

(C) 195.32 N

Answer

(A) 194.66 N

Answer

(B) 194.32 N

Answer

(D) 195.66 N

Question 33

The dimension of $\frac{B^{2}}{2\mu_{0}}$, where B is magnetic field and $\mu_{0}$ is the magnetic permeability of vacuum, is

Accepted Answer

(C) ML$^{-1}$T$^{-2}$

Answer

(A) ML$^{2}$T$^{-1}$

Answer

(B) ML$^{2}$T$^{-2}$

Answer

(D) MLT$^{-2}$

Question 34

In a Young's double slit experiment, the separation between the slits is 0.15 mm. In the experiment, a source of light of wavelength 589 nm is used and the interference pattern is observed on a screen kept 1.5 m away. The separation between the successive bright fringes on the screen is:

Accepted Answer

(D) 5.9 mm

Answer

(A) 4.9 mm

Answer

(B) 6.9 mm

Answer

(C) 3.9 mm

Question 35

The figure gives experimentally measured B vs H variation in a ferromagnetic material. The retentivity, co-ercivity and saturation, respectively, of the material are

Accepted Answer

(A) 1.0 T, 50 A/m and 1.5 T

Answer

(B) 1.5 T, 50 A/m and 1.0 T

Answer

(C) 150 A/m, 1.0 T and 1.5 T

Answer

(D) 1.5 T, 50 A/m and 1.0 T

Question 36

The activity of a radioactive sample falls from 700 s$^{-1}$ to 500 s$^{-1}$ in 30 minutes. Its half life is close to

Accepted Answer

(C) 62 min

Answer

(A) 66 min

Answer

(B) 52 min

Answer

(D) 72 min

Question 37

An ideal fluid flows (laminar flow) through a pipe of non-uniform diameter. The maximum and minimum diameters of the pipes are 6.4 cm and 4.8 cm, respectively. The ratio of the minimum and the maximum velocities of fluid in this pipe is

Accepted Answer

(D) $\frac{9}{16}$

Answer

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

Answer

(B) $\frac{81}{256}$

Answer

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

Question 38

A mass of 10 kg is suspended by a rope of length 4 m, from the ceiling. A force F is applied horizontally at the mid-point of the rope such that the top half of the rope makes an angle of 45° with the vertical. Then F equals: (Take g = 10 ms$^{-2}$ and the rope to be massless)

Accepted Answer

(A) 100 N

Answer

(B) 75 N

Answer

(C) 70 N

Answer

(D) 90 N

Question 39

The electric field of a plane electromagnetic wave is given by $\vec{E} = E_0 \dfrac{\hat{i}+\hat{j}}{\sqrt{2}}\cos(kz+\omega t)$

At t = 0, a positively charged particle is at the point (x, y, z) $= \left(0, 0, \dfrac{\pi}{k}\right)$. If its instantaneous velocity at (t = 0) is $v_0\hat{k}$, the force acting on it due to the wave is:

Accepted Answer

(D) antiparallel to $\dfrac{\hat{i}+\hat{j}}{\sqrt{2}}$

Answer

(A) zero

Answer

(B) parallel to $\dfrac{\hat{i}+\hat{j}}{\sqrt{2}}$

Answer

(C) parallel to $\hat{k}$

Question 40

An elevator in a building can carry a maximum of 10 persons, with the average mass of each person being 68 kg. The mass of the elevator itself is 920 kg and it moves with a constant speed of 3 m/s. the frictional force opposing the motion is 6000 N. If the elevator is moving up with its full capacity, the power delivered by the motor to the elevator (g = 10 m/s$^2$) must be at least:

Accepted Answer

(B) 66000 W

Answer

(A) 56300 W

Answer

(C) 62360 W

Answer

(D) 48000 W

Question 41

In the figure, potential difference between A and B is:

Accepted Answer

(B) 10 V

Answer

(A) 5 V

Answer

(C) zero

Answer

(D) 15 V

Question 42

Consider a uniform cubical box of side a on a rough floor that is to be moved by applying minimum possible force F at a point b above its centre of mass (see figure). If the coefficient of friction is $\mu$ = 0.4, the maximum possible value of $100 	imes \dfrac{b}{a}$ for box not to topple before moving is __________.

Accepted Answer

50.00

Question 43

M grams of steam at 100°C is mixed with 200 g of ice at its melting point in a thermally insulated container. If it produces liquid water at 40°C [heat of vaporization of water is 540 cal/g and heat of fusion of ice is 80 cal/g], the value of M is __________.

Accepted Answer

40

Question 44

A 60 pF capacitor is fully charged by a 20 V supply. It is then disconnected from the supply and is connected to another uncharged 60 pF capacitor in parallel. The electrostatic energy that is lost in this process by the time the charge is redistributed between them is (in nJ) __________.

Accepted Answer

6

Question 45

The balancing length for a cell is 560 cm in a potentiometer experiment. When an external resistance of 10 $\Omega$ is connected in parallel to the cell, the balancing length changes by 60 cm. If the internal resistance of the cell is $\dfrac{N}{10}\Omega$, where N is an integer then value of N is __________.

Accepted Answer

12

Question 46

The sum of two forces $\vec{P}$ and $\vec{Q}$ is $\vec{R}$ such that $|\vec{R}| = |\vec{P}|$. The angle $	heta$ (in degrees) that the resultant of $2\vec{P}$ and $\vec{Q}$ will make with $\vec{Q}$ is, __________.

Accepted Answer

90

Question 47

In the following reactions, products(A) and (B) respectively are
$\mathrm{NaOH + Cl_2} \xrightarrow{	ext{Hot and Conc}} (A) + 	ext{side products}$
$\mathrm{Ca(OH)_2\,Cl_2} \xrightarrow{	ext{Dry}} (B) + 	ext{side products}$

Accepted Answer

(A) $\mathrm{NaClO_3}$ and $\mathrm{Ca(OCl)_2}$

Answer

(B) $\mathrm{NaOCl}$ and $\mathrm{Ca(OCl)_2}$

Answer

(C) $\mathrm{NaOCl}$ and $\mathrm{Ca(ClO_3)_2}$

Answer

(D) $\mathrm{NaClO_3}$ and $\mathrm{Ca(ClO_3)_2}$

Question 48

The refining method used when the metal and the impurities have low and high melting temperatures, respectively is

Accepted Answer

(C) liquation

Answer

(A) zone refining

Answer

(B) vapour phase refining

Answer

(D) distillation

Question 49

The redox reaction among the following is

Accepted Answer

(B) combination of dinitrogen with dioxygen at 2000 K

Answer

(A) reaction of $\mathrm{[Co(H_2O)_6]Cl_3}$ with $\mathrm{AgNO_3}$

Answer

(C) reaction of $\mathrm{H_2SO_4}$ with NaOH

Answer

(D) formation of ozone from atmospheric oxygen in the presence of sunlight

Question 50

Within each pair of elements F & Cl, S & Se and Li & Na, respectively, the elements that release more energy upon an electron gain are

Accepted Answer

(D) Cl, S and Li

Answer

(A) F, Se and Na

Answer

(B) Cl, Se and Na

Answer

(C) F, S and Li

Question 51

Identify the correct labels of A, B and C in the following graph from the options given below
Root mean square speed($V_{rms}$); most probable speed($V_{\mathrm{m}\mathrm{p}}$); Average speed($V_{av}$)

Accepted Answer

(D) A-$V_{\mathrm{m}\mathrm{p}}$, B-$V_{av}$, C-$V_{rms}$

Answer

(A) A-$V_{av}$, B-$V_{rms}$, C-$V_{\mathrm{m}\mathrm{p}}$

Answer

(B) A-$V_{rms}$, B-$V_{\mathrm{m}\mathrm{p}}$, C-$V_{av}$

Answer

(C) A-$V_{\mathrm{m}\mathrm{p}}$, B-$V_{rms}$, C-$V_{av}$

Question 52

For the reaction
$2H_2(g) + 2NO(g) \longrightarrow N_2(g) + 2H_2O$, the observed rate expression is, rate = $k_f[NO]^2[H_2]$. The rate expression for the reverse reaction is:

Accepted Answer

(C) $k_b[N_2][H_2O]^2/[H_2]$

Answer

(A) $k_b[N_2][H_2O]$

Answer

(B) $k_b[N_2][H_2O]^2/[NO]$

Answer

(D) $k_b[N_2][H_2O]^2$

Question 53

In the following reaction sequence
The major product B is

Accepted Answer

(D) (D)

Answer

(A) (A)

Answer

(B) (B)

Answer

(C) (C)

Question 54

Which of the following statements is correct?

Accepted Answer

(C) Gluconic acid is a partial oxidation product of glucose

Answer

(A) Gluconic acid is a dicarboxylic acid

Answer

(B) Gluconic acid can form cyclic(acetal/hemiacetal) structure

Answer

(D) Gluconic acid is obtained by oxidation of glucose with $\mathrm{HNO_3}$

Question 55

The equation that is incorrect is

Accepted Answer

(A) $(\Lambda_m^0)_{NaBr} - (\Lambda_m^0)_{NaI} = (\Lambda_m^0)_{KBr} - (\Lambda_m^0)_{NaBr}$

Answer

(B) $(\Lambda_m^0)_{NaBr} - (\Lambda_m^0)_{NaCl} = (\Lambda_m^0)_{KBr} - (\Lambda_m^0)_{KCl}$

Answer

(C) $(\Lambda_m^0)_{H_2O} = (\Lambda_m^0)_{HCl} + (\Lambda_m^0)_{NaOH} - (\Lambda_m^0)_{NaCl}$

Answer

(D) $(\Lambda_m^0)_{KCl} - (\Lambda_m^0)_{NaCl} = (\Lambda_m^0)_{KBr} - (\Lambda_m^0)_{NaBr}$

Question 56

Consider the following reactions:
Which of these reactions are possible?

Accepted Answer

(A) (b) and (d)

Answer

(B) (a) and (d)

Answer

(C) (a) and (b)

Answer

(D) (b), (c) and (d)

Question 57

The number of possible optical isomers for the complexes $\mathrm{MA_2B_2}$ with $sp^3$ and $dsp^2$ hybridized metal atom, respectively is:
[Note: A and B are unidentate neutral and unidentate monoanionnic ligands, respectively]

Accepted Answer

(D) 0 and 0

Answer

(A) 2 and 2

Answer

(B) 0 and 2

Answer

(C) 0 and 1

Question 58

In the following reaction sequence, structures of A and B respectively will be

Accepted Answer

(D) (D)

Answer

(A) (A)

Answer

(B) (B)

Answer

(C) (C)

Question 59

The bond order and the magnetic characteristics of $CN^-$ are

Accepted Answer

(C) 3, diamagnetic

Answer

(A) 3, paramagnetic

Answer

(B) 2½, diamagnetic

Answer

(D) 2½, paramagnetic

Question 60

For the following reactions:
$k_s$ and $k_e$ are respectively, the rate constant for substitution and elimination, and $\mu = \dfrac{k_s}{k_e}$, the correct option is__________

Accepted Answer

(C) $\mu_A > \mu_B$ and $k_e(B) > k_e(A)$

Answer

(A) $\mu_B > \mu_A$ and $k_e(A) > k_e(B)$

Answer

(B) $\mu_A > \mu_B$ and $k_e(A) > k_e(B)$

Answer

(D) $\mu_B > \mu_A$ and $k_e(B) > k_e(A)$

Question 61

Among the statements (a - d), the incorrect ones are: (a) Octahedral Co(III) complexes with strong field ligands have very high magnetic moments (b) When $\Delta_0 < P$, the d-electron configuration of Co(III) in an octahedral complex is $t_{eg}^4 e_g^2$ (c) Wavelength of light absorbed by $[Co(en)_3]^{3+}$ is lower than that of $[CoF_6]^{3-}$ (d) If the $\Delta_0$ for an octahedral complex of Co(III) is 18,000 cm$^{-1}$, the $\Delta_t$ for its tetrahedral complex with the same ligand will be 16,000 cm$^{-1}$

Accepted Answer

(D) (a) and (d) only

Answer

(A) (b) and (c) only

Answer

(B) (a) and (b) only

Answer

(C) (c) and (d) only

Question 62

A Chromatography column, packed with silica gel as stationary phase, was used to separate a mixture of compounds consisting of (a) benzanilide, (b) aniline and (c) acetophenone. When the column is eluted with a mixture of solvents, hexane; ethyl acetate(20:80), the sequence of obtained compounds is

Accepted Answer

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

Answer

(A) (b), (c) and (a)

Answer

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

Answer

(D) (b), (a) and (c)

Question 63

The correct order of stability for the following alkoxides is

Accepted Answer

(C) (C) > (B) > (A)

Answer

(A) (B) > (C) > A

Answer

(B) (C) > (A) > (B)

Answer

(D) (B) > (A) > (C)

Question 64

Among statements (a) - (d), the correct ones are (a) decomposition of hydrogen peroxide gives dioxygen. (b) like hydrogen peroxide, compounds such as $KClO_3$, $Pb(NO_3)_2$ and $NaNO_3$ when heated liberated dioxygen. (c) 2-Ethylanthraquinone is useful for the industrial preparation of hydrogen peroxide (d) Hydrogen peroxide is used for the manufacture of sodium perborate

Accepted Answer

(A) (a), (b), (c) and (d)

Answer

(B) (a) and (c) only

Answer

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

Answer

(D) (a), (c) and (d) only

JEE Main 7 January 2020 Shift 2 Question Paper with Answers

Physics — JEE Main 7 January 2020 Shift 2

Chemistry — JEE Main 7 January 2020 Shift 2

Mathematics — JEE Main 7 January 2020 Shift 2

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