JEE Main 8 January 2020 Shift 1 Question Paper

Question 1

Let the volume of a parallelepiped whose coterminous edges are given by $\vec{u}=\hat{i}+\hat{j}+\lambda\hat{k}$, $\vec{v}=\hat{i}+\hat{j}+3\hat{k}$ and $\vec{w}=2\hat{i}+\hat{j}+\hat{k}$ be 1 cu. Unit. If $	heta$ be the angle between the edges $\vec{u}$ and $\vec{w}$, then $\cos	heta$ can be:

Accepted Answer

(A) $\dfrac{7}{6\sqrt{3}}$

Answer

(B) $\dfrac{5}{7}$

Answer

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

Answer

(D) $\dfrac{7}{6\sqrt{6}}$

Question 2

Let $f(x)=x\cos^{-1}(-\sin|x|), x\in\left[-\dfrac{\pi}{2},\dfrac{\pi}{2}\right]$, then which of the following is true?

Accepted Answer

(C) f' is decreasing in $\left(-\dfrac{\pi}{2},0\right)$ and increasing in $\left(0,\dfrac{\pi}{2}\right)$

Answer

(A) $f'(0)=-\dfrac{\pi}{2}$

Answer

(B) f is not differentiable at x = 0

Answer

(D) f' is increasing in $\left(-\dfrac{\pi}{2},0\right)$ and decreasing in $\left(0,\dfrac{\pi}{2}\right)$

Question 3

Let $y=y(x)$ be a solution of the differential equation, $\sqrt{1-x^{2}}\dfrac{dy}{dx}+\sqrt{1-y^{2}}=0, |x|<1$. If $y\left(\dfrac{1}{2}\right)=\dfrac{\sqrt{3}}{2}$, then $y\left(\dfrac{1}{\sqrt{2}}\right)$ is equal to:

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 4

$\displaystyle\lim_{x	o 0}\left(\dfrac{3x^{2}+2}{7x^{2}+2}ight)^{1/x^{2}}$ is equal to:

Accepted Answer

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

Answer

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

Answer

(B) $e$

Answer

(C) $e^{2}$

Question 5

Let two points be A(1, -1) and B(0, 2). If a point $P(x', y')$ be such that the area of $	riangle PAB = 5$ sq. units and it lies on the line, $3x+y-4\lambda=0$, then a value of $\lambda$ is:

Accepted Answer

(A) 3

Answer

(B) 4

Answer

(C) 1

Answer

(D) -3

Question 6

If the equation, $x^{2}+bx+45=0\ (b\in R)$ has conjugate complex roots and they satisfy $|z+1|=2\sqrt{10}$, then:

Accepted Answer

(C) $b^{2}-b=30$

Answer

(A) $b^{2}+b=12$

Answer

(B) $b^{2}-b=42$

Answer

(D) $b^{2}+b=72$

Question 7

The shortest distance between the lines $\dfrac{x-3}{3}=\dfrac{y-8}{-1}=\dfrac{z-3}{1}$ and $\dfrac{x+3}{-3}=\dfrac{y+7}{2}=\dfrac{z-6}{4}$ is:

Accepted Answer

(B) $3\sqrt{30}$

Answer

(A) $\dfrac{7}{2}\sqrt{30}$

Answer

(C) 3

Answer

(D) $2\sqrt{30}$

Question 8

Which one of the following is a tautology?

Accepted Answer

(C) $(P\wedge(P\rightarrow Q))\rightarrow Q$

Answer

(A) $P\wedge(P\vee Q)$

Answer

(B) $P\vee(P\wedge Q)$

Answer

(D) $Q\rightarrow(P\wedge(P\rightarrow Q))$

Question 9

For which of the following ordered pairs $(\mu,\delta)$, the system of linear equations
$x+2y+3z=1$
$3x+4y+5z=\mu$ is inconsistent?
$4x+4y+4z=\delta$

Accepted Answer

(C) (4, 3)

Answer

(A) (3, 4)

Answer

(B) (1, 0)

Answer

(D) (4, 6)

Question 10

If $\displaystyle\int \dfrac{\cos x\,dx}{\sin^{3}x\left(1+\sin^{6}x\right)^{2/3}}=f(x)\left(1+\sin^{6}x\right)^{1/\lambda}+c$ where c is a constant of integration, then $\lambda f\left(\dfrac{\pi}{3}\right)$ is equal to:

Accepted Answer

(A) -2

Answer

(B) $-\dfrac{9}{8}$

Answer

(C) $\dfrac{9}{8}$

Answer

(D) 2

Question 11

The inverse function of $f(x)=\dfrac{8^{2x}-8^{-2x}}{8^{2x}+8^{-2x}}, x\in(-1,1)$, is

Accepted Answer

(D) $\dfrac{1}{4}(\log_{8}e)\log_{e}\left(\dfrac{1+x}{1-x}\right)$

Answer

(A) $\dfrac{1}{4}(\log_{8}e)\log_{e}\left(\dfrac{1-x}{1+x}\right)$

Answer

(B) $\dfrac{1}{4}\log_{e}\left(\dfrac{1-x}{1+x}\right)$

Answer

(C) $\dfrac{1}{4}\log_{e}\left(\dfrac{1+x}{1-x}\right)$

Question 12

Let A and B be two independent events such that $P(A)=\dfrac{1}{3}$ and $P(B)=\dfrac{1}{6}$. Then, which of the following is TRUE?

Accepted Answer

(C) $P\left(\dfrac{A}{B'}\right)=\dfrac{1}{3}$

Answer

(A) $P\left(\dfrac{A}{B}\right)=\dfrac{2}{3}$

Answer

(B) $P\left(\dfrac{A'}{B'}\right)=\dfrac{1}{3}$

Answer

(D) $P\left(\dfrac{A}{(A\cup B)}\right)=\dfrac{1}{4}$

Question 13

The locus of a point which divides the line segment joining the point $(0,-1)$ and a point on the parabola, $x^{2}=4y$, internally in the ratio $1:2$, is

Accepted Answer

(A) $9x^{2}-12y=8$

Answer

(B) $4x^{2}-3y=2$

Answer

(C) $x^{2}-3y=2$

Answer

(D) $9x^{2}-3y=2$

Question 14

If c is a point at which Rolle's theorem holds for the function, $f(x)=\log_{e}\left(\dfrac{x^{2}+\alpha}{7x}\right)$ in the interval $[3,4]$, where $\alpha\in R$, then $f''(c)$ is equal to:

Accepted Answer

(D) $\dfrac{1}{12}$

Answer

(A) $-\dfrac{1}{12}$

Answer

(B) $-\dfrac{1}{24}$

Answer

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

Question 15

If a, b and c are the greatest values of $^{19}C_{p}$, $^{20}C_{q}$ and $^{21}C_{r}$ respectively, then:

Accepted Answer

(C) $\dfrac{a}{11}=\dfrac{b}{22}=\dfrac{c}{42}$

Answer

(A) $\dfrac{a}{10}=\dfrac{b}{11}=\dfrac{c}{42}$

Answer

(B) $\dfrac{a}{11}=\dfrac{b}{22}=\dfrac{c}{21}$

Answer

(D) $\dfrac{a}{10}=\dfrac{b}{11}=\dfrac{c}{21}$

Question 16

Let $f:R	o R$ be such that for all $x\in R$, $\left(2^{1+x}+2^{1-x}ight), f(x)$ and $\left(3^{x}+3^{-x}ight)$ are in A.P., then the minimum value of $f(x)$ is:

Accepted Answer

(A) $3$

Answer

(B) $4$

Answer

(C) $2$

Answer

(D) $0$

Question 17

Let the line $y=mx$ and the ellipse $2x^{2}+y^{2}=1$ intersect at a point P in the first quadrant. If the normal to this ellipse at P meets the co-ordinate axes at $\left(-\dfrac{1}{3\sqrt{2}},0\right)$ and $(0,\beta)$ then $\beta$ is equal to:

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 18

Let $f(x)=\left(\sin\left(	an^{-1}xight)+\sin\left(\cot^{-1}xight)ight)^{2}-1, |x|>1$. If $\dfrac{dy}{dx}=\dfrac{1}{2}\dfrac{d}{dx}\left(\sin^{-1}(f(x))ight)$ and $y\left(\sqrt{3}ight)=\dfrac{\pi}{6}$, then $y\left(-\sqrt{3}ight)$ is equal to

Accepted Answer

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

Answer

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

Answer

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

Answer

(D) $-\dfrac{\pi}{6}$

Question 19

Let the normal at a point P on the curve $y^{2}-3x^{2}+y+10=0$ intersect the y-axis at $\left(0,\dfrac{3}{2}\right)$. If m is the slope of the tangent at P to the curve, then $|m|$ is equal to

Accepted Answer

4

Question 20

An urn contains 5 red marbles, 4 black marbles and 3 white marbles. Then the number of ways in which 4 marbles can be drawn so that the most three of them are red is

Accepted Answer

490

Question 21

The least positive value of 'a' for which the equation, $2x^{2}+(a-10)x+\dfrac{33}{2}=2a$ has real root is

Accepted Answer

8

Question 22

The sum $\displaystyle\sum_{k=1}^{20}(1+2+3+....+k)$ is

Accepted Answer

1540

Question 23

The number of all $3	imes3$ matrices, A, with enteries from the set $\{-1,0,1\}$ such that the sum of the diagonal elements of $AA^{T}$ is 3, is

Accepted Answer

672

Question 24

The critical angle of a medium for a specific wavelength, if the medium has relative permittivity 3 and relative permeability $\dfrac{4}{3}$ for this wavelength, will be

Accepted Answer

(D) 30°

Answer

(A) 60°

Answer

(B) 15°

Answer

(C) 45°

Question 25

Boolean relation at the output state-Y for the following circuits is:

Accepted Answer

(A) $\overline{A} \cdot \overline{B}$

Answer

(B) A + B

Answer

(C) $\overline{A} + \overline{B}$

Answer

(D) A · B

Question 26

A thermodynamic cycle xyzx is shown on a V-T diagram. The P-V diagram that best describes this cycle is: (diagrams are schematic and not to scale)

Accepted Answer

(B) (B)

Answer

(A) (A)

Answer

(C) (C)

Answer

(D) (D)

Question 27

A particle of mass m is fixed to one end of a light spring having force constant k and unstretched length $\ell$. The other end is fixed. The system is given an angular speed $\omega$ about the fixed end of the spring such that it rotates in a circle in gravity free space. Then the stretch in the spring is:

Accepted Answer

(D) $\dfrac{m\ell\omega^{2}}{k-m\omega^{2}}$

Answer

(A) $\dfrac{m\ell\omega^{2}}{k+m\omega}$

Answer

(B) $\dfrac{m\ell\omega^{2}}{k+m\omega^{2}}$

Answer

(C) $\dfrac{m\ell\omega^{2}}{k-\omega m}$

Question 28

The coordinates of centre of mass of a uniform flag shaped lamina (thin flat plate) of mass 4 kg. (the coordinates of the same are shown in figure) are:

Accepted Answer

(B) (0.75 m, 1.75 m)

Answer

(A) (0.75 m, 0.75 m)

Answer

(C) (1.25 m, 1.50 m)

Answer

(D) (1 m, 1.75 m)

Question 29

When photon of energy 4.0 eV strikes the surface of a metal A, the ejected photoelectrons have maximum kinetic energy $T_A$ eV and de-Broglie wavelength $\lambda_A$. The maximum kinetic energy of photoelectrons liberated form another metal B by photon of energy 4.50 eV is $T_B = (T_A - 1.5)$eV. If the de-Broglie wavelength of these photoelectrons $\lambda_B = 2\lambda_A$, then the work function of metal B is

Accepted Answer

(A) 4 eV

Answer

(B) 1.5 eV

Answer

(C) 2 eV

Answer

(D) 3 eV

Question 30

In finding the electric field using Gauss law the formula $|\vec{E}| = \dfrac{q_{enc}}{\varepsilon_{0}|A|}$ is applicable. In the formula $\varepsilon_0$ is permittivity of free space, A is the area of Gaussain surface and $q_{enc}$ is charge enclosed by the Gaussian surface. This equation can be used in which of the following situation? Only when the Gaussian surface is an

Accepted Answer

(A) equipotential surface and $|\vec{E}|$ is constant on the surface.

Answer

(B) For any choice of Gaussian surface.

Answer

(C) Only when $|\vec{E}|$ = constant on the surface.

Answer

(D) Only when the Gaussian surface is an equipotential surface.

Question 31

The plot that depicts the behavior of the mean free time $	au$ (time between two successive collisions) for the molecules of an ideal gas, as a function of temperature (T), qualitatively, is: (Graphs are schematic and not drawn to scale)

Accepted Answer

(D) (D)

Answer

(A) (A)

Answer

(B) (B)

Answer

(C) (C)

Question 32

At time t = 0 magnetic field of 1000 Gauss is passing perpendicularly through the area defined by the closed loop shown in the figure. If the magnetic field reduces linearly to 500 Gauss, in the next 5s, then induced EMF in the loops is:

Accepted Answer

(B) 56 $\mu$V

Answer

(A) 28 $\mu$V

Answer

(C) 48 $\mu$V

Answer

(D) 36 $\mu$V

Question 33

Consider a uniform rod of mass M = 4 m and length $\ell$ pivoted about its centre. A mass m moving with velocity v making angle $	heta = \dfrac{\pi}{4}$ to the rod's long axis collides with one end of the rod and sticks to it. The angular sped of the rod-mass system just after the collision is

Accepted Answer

(B) $\dfrac{3\sqrt{2}}{7}\dfrac{v}{\ell}$

Answer

(A) $\dfrac{3}{7}\dfrac{v}{\ell}$

Answer

(C) $\dfrac{4}{7}\dfrac{v}{\ell}$

Answer

(D) $\dfrac{3}{7\sqrt{2}}\dfrac{v}{\ell}$

Question 34

The graph which depicts the results of Rutherford gold foil experiment with α-particles is
θ : Scattering angle
Y : Number of scattered α-particles detected
(Plots are schematic and not to scale)

Accepted Answer

(A) (A)

Answer

(B) (B)

Answer

(C) (C)

Answer

(D) (D)

Question 35

The length of a potentiometer wire is 1200 cm and it carries a current of 60 mA. For a cell of emf 5 V and internal resistance of 20 Ω, the null point on it is found to be at 1000 cm. The resistance of whole wire is:

Accepted Answer

(B) 100 Ω

Answer

(A) 60 Ω

Answer

(C) 80 Ω

Answer

(D) 120 Ω

Question 36

Proton with kinetic energy of 1 MeV moves from south the north. It gets an acceleration of $10^{12}$ m/s$^{2}$ by an applied magnetic field (west to east). The value of magnetic field: (Rest mass of proton is $1.6 	imes 10^{-27}$ kg)

Accepted Answer

(A) 0.71 mT

Answer

(B) 7.1 mT

Answer

(C) 0.071 mT

Answer

(D) 71 mT

Question 37

The magnifying power of a telescope with tube length 60 cm is 5. What is the focal length of its eye piece?

Accepted Answer

(B) 10 cm

Answer

(A) 40 cm

Answer

(C) 20 cm

Answer

(D) 30 cm

Question 38

Consider a solid sphere of radius R and mass density $p(r) = p_{0}\left(1 - \dfrac{r^{2}}{R^{2}}\right)$, $0 < r \leq R$. The minimum density of a liquid in which it will float is

Accepted Answer

(B) $\dfrac{2p_{0}}{5}$

Answer

(A) $\dfrac{p_{0}}{5}$

Answer

(C) $\dfrac{2p_{0}}{3}$

Answer

(D) $\dfrac{p_{0}}{3}$

Question 39

Effective capacitance of parallel combination of two capacitors $C_{1}$ and $C_{2}$ is 10 $\mu$F. When these capacitor are individually connected to a voltage source of 1 V, the energy stored in the capacitor $C_{2}$ is 4 times that of $C_{1}$. If these capacitors are connected in series, their effective capacitance will be

Accepted Answer

(C) 1.6 $\mu$F

Answer

(A) 3.2 $\mu$F

Answer

(B) 8.4 $\mu$F

Answer

(D) 4.2 $\mu$F

Question 40

A leak proof cylinder of length 1 m, made of a metal which has very low coefficient of expansion is floating vertically in water at $0^{\circ}$C such that its height above the water surface is 20 cm. When the temperature of water is increased to $4^{\circ}$C, the height of the cylinder above the water surface becomes 21 cm. The density of water at T = $4^{\circ}$C, relative to the density at T = $0^{\circ}$C is close to:

Accepted Answer

(A) 1.01

Answer

(B) 1.26

Answer

(C) 1.04

Answer

(D) 1.03

Question 41

Three charged particles A, B and C with charges $-4q$, $2q$ and $-2q$ are present on the circumference of a circle of radius d. The charged particles A, C and centre O of the circle formed an equilateral triangle as shown in figure. Electric field at O along x-direction is:

Accepted Answer

(B) $\dfrac{\sqrt{3}q}{\pi\varepsilon_{0}d^{2}}$

Answer

(A) $\dfrac{2\sqrt{3}q}{\pi\varepsilon_{0}d^{2}}$

Answer

(C) $\dfrac{3\sqrt{3}q}{4\pi\varepsilon_{0}d^{2}}$

Answer

(D) $\dfrac{\sqrt{3}q}{4\pi\varepsilon_{0}d^{2}}$

Question 42

Consider two solid spheres of radii $R_{1} = 1$m, $R_{2} = 2$m and masses $M_{1}$ and $M_{2}$, respectively. The gravitational field due to sphere (1) and (2) are shown. The value of $\dfrac{M_{1}}{M_{2}}$ is:

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 43

Four resistances of 15 $\Omega$, 12 $\Omega$, 4 $\Omega$ and 10 $\Omega$ respectively in cyclic order to form Whetstone's network. The resistance that is to be connected in parallel with the resistance of 10 $\Omega$ to balance the network is ___________.

Accepted Answer

10

Question 44

A particle is moving along the x-axis with its coordinate with time 't' given by $x(t) = 10 + 8t - 3t^{2}$. Another particle is moving along the y-axis with its coordinate a function of time given by $y(t) = 5 - 8t^{3}$. At t = 1 s, the speed of the second particle as measured in the frame of the first particle is given as $\sqrt{v}$. Then v (in m/s) is ___________.

Accepted Answer

580

Question 45

A body A, of mass m = 0.1 kg has an initial velocity of $3\hat{i}$ ms$^{-1}$. It collides elastically with another body, B of the same mass which has an initial velocity of $5\hat{j}$ ms$^{-1}$. After collision, A moves with a velocity $\vec{v} = 4(\hat{i} + \hat{j})$. The energy of B after collision is written as $\dfrac{x}{10}$ J. The value of x is ___________.

Accepted Answer

1

Question 46

A point object in air is in front of the curved surface of a plano-convex lens. The radius of curvature of the curved surface is 30 cm and the refractive index of the lens material is 1.5, then the focal length of the lens (in cm) is ___________.

Accepted Answer

60

Question 47

The complex that can show fac- and mer-isomers is :

Accepted Answer

(B) [Co(NH$_{3}$)$_{3}$(NO$_{2}$)$_{3}$]

Answer

(A) [CoCl$_{2}$(en)$_{2}$]

Answer

(C) [Pt(NH$_{3}$)$_{2}$Cl$_{2}$]

Answer

(D) [Co(NH$_{3}$)$_{4}$Cl$_{2}$]$^{+}$

Question 48

Arrange the following compounds in increasing order of C – OH bond length: methanol, phenol, p-ethoxyphenol

Accepted Answer

(D) phenol < p-ethoxyphenol < methanol

Answer

(A) phenol < methanol < p-ethoxyphenol

Answer

(B) methanol < p-ethoxyphenol < phenol

Answer

(C) methanol < phenol < p-ethoxyphenol

Question 49

The third ionization enthalpy is minimum for :

Accepted Answer

(D) Fe

Answer

(A) Ni

Answer

(B) Co

Answer

(C) Mn

Question 50

A graph of vapour pressure and temperature for three different liquids X, Y, and Z is shown below:
The following inferences are made :
(a) X has higher intermolecular interactions compared to Y.
(b) X has lower intermolecular interactions compared to Y.
(c) Z has lower intermolecular interactions compared to Y.
The correct inference (s) is / are :

Accepted Answer

(C) (b)

Answer

(A) (c)

Answer

(B) (a) and (c)

Answer

(D) (a)

Question 51

When gypsum is heated to 393 K, it forms :

Accepted Answer

(A) CaSO$_{4}$ . 0.5H$_{2}$O

Answer

(B) Dead burnt plaster

Answer

(C) Anhydrous CaSO$_{4}$

Answer

(D) CaSO$_{4}$ . 5 H$_{2}$O

Question 52

The major products A and B in the following reactions are :

Accepted Answer

(C) (C)

Answer

(A) (A)

Answer

(B) (B)

Answer

(D) (D)

Question 53

As per Hardy-Schulze formulation, the flocculation values of the following for ferric hydroxide sol are in the order :

Accepted Answer

(B) K$_{3}$[Fe(CN)$_{6}$] < K$_{2}$CrO$_{4}$ < KBr = KNO$_{3}$ = AlCl$_{3}$

Answer

(A) AlCl$_{3}$ > K$_{3}$[Fe(CN)$_{6}$] > K$_{2}$CrO$_{4}$ > KBr = KNO$_{3}$

Answer

(C) K$_{3}$[Fe(CN)$_{6}$] < K$_{2}$CrO$_{4}$ < AlCl$_{3}$ < KBr < KNO$_{3}$

Answer

(D) K$_{3}$[Fe(CN)$_{6}$] > AlCl$_{3}$ > K$_{2}$CrO$_{4}$ > KBr > KNO$_{3}$

Question 54

The most suitable reagent for the given conversion is :

Accepted Answer

(B) B$_{2}$H$_{6}$

Answer

(A) LiAlH$_{4}$

Answer

(C) H$_{2}$/Pd

Answer

(D) NaBH$_{4}$

Question 55

The predominant intermolecular forces present in ethyl acetate, a liquid, are:

Accepted Answer

(D) London dispersion and dipole-dipole

Answer

(A) hydrogen bonding and London dispersion

Answer

(B) Dipole-dipole and hydrogen bonding

Answer

(C) London dispersion, dipole-dipole and hydrogen bonding

Question 56

A flask contains a mixture of isohexane and 3-methylpentane. One of the liquids boils at 63 °C while the other boils at 60 °C. What is the best way to separate the two liquids and which one will be distilled out first?

Accepted Answer

(D) fractional distillation, isohexane

Answer

(A) fractional distillation, 3-methylpentane

Answer

(B) simple distillation, isohexane

Answer

(C) simple distillation, 3-methylpentane

Question 57

The major product of the following reaction is :

Accepted Answer

(B) (B)

Answer

(A) (A)

Answer

(C) (C)

Answer

(D) (D)

Question 58

The stoichiometry and solubility product of a salt with the solubility curve given below is, respectively:

Accepted Answer

(C) XY$_{2}$, 4 $	imes$ 10$^{-9}$ M$^{3}$

Answer

(A) XY, 2 $	imes$ 10$^{-5}$ M$^{3}$

Answer

(B) XY$_{3}$, 1 $	imes$ 10$^{-9}$ M$^{3}$

Answer

(D) X$_{2}$Y, 2 $	imes$ 10$^{-9}$ M$^{3}$

Question 59

The rate of a certain biochemical reaction at physiological temperature (T) occurs 10$^{6}$ times faster with enzyme than without. The change in the activation energy upon adding enzyme is :

Accepted Answer

(A) − 6 (2.303)RT

Answer

(B) + 6RT

Answer

(C) − 6RT

Answer

(D) + 6(2.303)RT

Question 60

The strength of an aqueous NaOH solution is most accurately determined by titrating : (Note : consider that an appropriate indicator is used)

Accepted Answer

(A) Aq. NaOH in a burette and aqueous oxalic acid in a conical flask

Answer

(B) Aq. NaOH in a pipette and aqueous oxalic acid in a burette

Answer

(C) Aq. NaOH in a volumetric flask and concentrated H$_2$SO$_4$ in a conical flask

Answer

(D) Aq. NaOH in a burette and concentrated H$_2$SO$_4$ in a conical flask

Question 61

For the Balmer series in the spectrum of H atom, $\bar{
u} = R_H \left\{\dfrac{1}{n_1^{2}} - \dfrac{1}{n_2^{2}}ight\}$ the correct statements among (I) to (IV) are :
(I) As wavelength decreases, the lines in the series converge
(II) The integer n1 is equal to 2
(III) The lines of longest wavelength corresponds to n$_2$ = 3
(IV) The ionization energy of hydrogen can be calculated from wave number of these lines

Accepted Answer

(C) (I), (II), (III)

Answer

(A) (II), (III), (IV)

Answer

(B) (I), (III), (IV)

Answer

(D) (I), (II), (IV)

Question 62

The number of bonds between sulphur and oxygen atoms in S$_2$O$_8^{-}$ and the number of bonds between sulphur and sulphur atoms in rhombic sulphur, respectively, are :

Accepted Answer

(D) 8 and 8

Answer

(A) 4 and 8

Answer

(B) 4 and 6

Answer

(C) 8 and 6

Question 63

Which of the following statement is not true for glucose?

Accepted Answer

(B) Glucose gives Schiff's test for aldehyde

Answer

(A) Glucose exists in two crystalline forms $\alpha$ and $\beta$

Answer

(C) Glucosse reacts with hydroxylamine to form oxime

Answer

(D) The pentaacetate of glucose does not react with hydroxylamine to give oxime

Question 64

The first ionization energy (in kJ/mol) of Na, Mg, Al and Si respectively, are :

Accepted Answer

(D) 496, 737, 577, 786

Answer

(A) 496, 577, 786, 737

Answer

(B) 786, 737, 577, 496

Answer

(C) 496, 577, 737, 786

JEE Main 8 January 2020 Shift 1 Question Paper with Answers

Physics — JEE Main 8 January 2020 Shift 1

Chemistry — JEE Main 8 January 2020 Shift 1

Mathematics — JEE Main 8 January 2020 Shift 1

Chapters tested in this paper

Attempt this paper under exam timing.