JEE Main 16 March 2021 Shift 1 Question Paper

Question 1

The number of elements in the set {x ∈ ℝ : (|x| − 3) |x + 4| = 6} is equal to

Accepted Answer

(B) 2

Answer

(A) 3

Answer

(C) 4

Answer

(D) 1

Question 2

Let a vector $\alpha\hat{i} + \beta\hat{j}$ be obtained by rotating the vector $\sqrt{3}\hat{i} + \hat{j}$ by an angle 45° about the origin in counterclockwise direction in the first quadrant. Then the area of triangle having vertices (α, β), (0, β) and (0, 0) is equal to

Accepted Answer

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

Answer

(B) 1

Answer

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

Answer

(D) $2\sqrt{2}$

Question 3

If for a > 0, the feet of perpendiculars from the points A(a, –2a, 3) and B(0, 4, 5) on the plane lx + my + nz = 0 are points C(0, –a, –1) and D respectively, then the length of line segment CD is equal to :

Accepted Answer

(D) $\sqrt{66}$

Answer

(A) $\sqrt{31}$

Answer

(B) $\sqrt{41}$

Answer

(C) $\sqrt{55}$

Question 4

Consider three observations a, b and c such that b = a + c. If the standard deviation of a + 2, b + 2, c + 2 is d, then which of the following is true ?

Accepted Answer

(D) $b^{2} = 3(a^{2} + c^{2}) - 9d^{2}$

Answer

(A) $b^{2} = 3(a^{2} + c^{2}) + 9d^{2}$

Answer

(B) $b^{2} = a^{2} + c^{2} + 3d^{2}$

Answer

(C) $b^{2} = 3(a^{2} + c^{2} + d^{2})$

Question 5

If for $x \in \left(0, \frac{\pi}{2}\right)$, $\log_{10}\sin x + \log_{10}\cos x = -1$ and $\log_{10}(\sin x + \cos x) = \frac{1}{2}(\log_{10} n - 1)$, n > 0, then the value of n is equal to :

Accepted Answer

(B) 12

Answer

(A) 20

Answer

(C) 9

Answer

(D) 16

Question 6

Let $A = \begin{bmatrix} i & -i \ -i & i \end{bmatrix}$, $i = \sqrt{-1}$. Then, the system of linear equations $A^{8}\begin{bmatrix} x \ y \end{bmatrix} = \begin{bmatrix} 8 \ 64 \end{bmatrix}$ has :

Accepted Answer

(C) No solution

Answer

(A) A unique solution

Answer

(B) Infinitely many solutions

Answer

(D) Exactly two solutions

Question 7

If the three normals drawn to the parabola, $y^{2} = 2x$ pass through the point (a, 0) a ≠ 0, then 'a' must be greater than :

Accepted Answer

(D) 1

Answer

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

Answer

(B) $-\frac{1}{2}$

Answer

(C) −1

Question 8

Let the position vectors of two points P and Q be $3\hat{i} - \hat{j} + 2\hat{k}$ and $\hat{i} + 2\hat{j} - 4\hat{k}$, respectively. Let R and S be two points such that the direction ratios of lines PR and QS are (4, –1, 2) and (–2, 1, –2), respectively. Let lines PR and QS intersect at T. If the vector $\overrightarrow{TA}$ is perpendicular to both $\overrightarrow{PR}$ and $\overrightarrow{QS}$ and the length of vector $\overrightarrow{TA}$ is $\sqrt{5}$ units, then the modulus of a position vector of A is :

Accepted Answer

(B) $\sqrt{171}$

Answer

(A) $\sqrt{482}$

Answer

(C) $\sqrt{5}$

Answer

(D) $\sqrt{227}$

Question 9

Let the functions f : ℝ → ℝ and g : ℝ → ℝ be defined as :
$f(x) = \begin{cases} x + 2, & x < 0 \ x^{2}, & x \ge 0 \end{cases}$ and $g(x) = \begin{cases} x^{3}, & x < 1 \ 3x - 2, & x \ge 1 \end{cases}$
Then, the number of points in ℝ where (fog)(x) is NOT differentiable is equal to :

Accepted Answer

(B) 1

Answer

(A) 3

Answer

(C) 0

Answer

(D) 2

Question 10

Which of the following Boolean expression is a tautology ?

Accepted Answer

(D) (p ∧ q) → (p → q)

Answer

(A) (p ∧ q) ∨ (p ∨ q)

Answer

(B) (p ∧ q) ∨ (p → q)

Answer

(C) (p ∧ q) ∧ (p → q)

Question 11

Let a complex number z, |z| ≠ 1, satisfy $\log_{\frac{1}{\sqrt{2}}}\left(\frac{|z| + 11}{(|z| - 1)^{2}}\right) \le 2$. Then, the largest value of |z| is equal to _____ .

Accepted Answer

(B) 7

Answer

(A) 8

Answer

(C) 6

Answer

(D) 5

Question 12

If n is the number of irrational terms in the expansion of $(3^{1/4} + 5^{1/8})^{60}$, then (n – 1) is divisible by :

Accepted Answer

(A) 26

Answer

(B) 30

Answer

(C) 8

Answer

(D) 7

Question 13

Let P be a plane lx + my + nz = 0 containing the line, $\frac{1-x}{1} = \frac{y+4}{2} = \frac{z+2}{3}$. If plane P divides the line segment AB joining points A(–3, –6, 1) and B(2, 4, –3) in ratio k : 1 then the value of k is equal to :

Accepted Answer

(C) 2

Answer

(A) 1.5

Answer

(B) 3

Answer

(D) 4

Question 14

The range of a ∈ ℝ for which the function $f(x) = (4a - 3)(x + \log_{e} 5) + 2(a - 7)\cot\left(\frac{x}{2}\right)\sin^{2}\left(\frac{x}{2}\right)$, x ≠ 2nπ, n ∈ ℕ, has critical points, is :

Accepted Answer

(B) $\left[-\frac{4}{3}, 2\right]$

Answer

(A) (−3, 1)

Answer

(C) [1, ∞)

Answer

(D) (−∞, −1]

Question 15

A pack of cards has one card missing. Two cards are drawn randomly and are found to be spades. The probability that the missing card is not a spade, is :

Accepted Answer

(C) $\frac{39}{50}$

Answer

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

Answer

(B) $\frac{52}{867}$

Answer

(D) $\frac{22}{425}$

Question 16

If y = y(x) is the solution of the differential equation, $\frac{dy}{dx} + 2y	an x = \sin x$, $y\left(\frac{\pi}{3}ight) = 0$, then the maximum value of the function y(x) over ℝ is equal to :

Accepted Answer

(D) $\frac{1}{8}$

Answer

(A) 8

Answer

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

Answer

(C) $-\frac{15}{4}$

Question 17

The locus of the midpoints of the chord of the circle, $x^{2} + y^{2} = 25$ which is tangent to the hyperbola, $\frac{x^{2}}{9} - \frac{y^{2}}{16} = 1$ is :

Accepted Answer

(D) $(x^{2} + y^{2})^{2} - 9x^{2} + 16y^{2} = 0$

Answer

(A) $(x^{2} + y^{2})^{2} - 16x^{2} + 9y^{2} = 0$

Answer

(B) $(x^{2} + y^{2})^{2} - 9x^{2} + 144y^{2} = 0$

Answer

(C) $(x^{2} + y^{2})^{2} - 9x^{2} - 16y^{2} = 0$

Question 18

The number of roots of the equation, $(81)^{\sin^{2} x} + (81)^{\cos^{2} x} = 30$ in the interval [0, π] is equal to :

Accepted Answer

(B) 4

Answer

(A) 3

Answer

(C) 8

Answer

(D) 2

Question 19

Let $S_{k} = \sum_{r=1}^{k} 	an^{-1}\left(\frac{6^{r}}{2^{2r+1} + 3^{2r+1}}ight)$. Then $\lim_{k 	o \infty} S_{k}$ is equal to :

Accepted Answer

(C) $\cot^{-1}\left(\frac{3}{2}\right)$

Answer

(A) $	an^{-1}\left(\frac{3}{2}ight)$

Answer

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

Answer

(D) $	an^{-1}(3)$

Question 20

Consider an arithmetic series and a geometric series having four initial terms from the set {11, 8, 21, 16, 26, 32, 4}. If the last terms of these series are the maximum possible four digit numbers, then the number of common terms in these two series is equal to ______ .

Accepted Answer

3

Question 21

Let f : (0, 2) → ℝ be defined as $f(x) = \log_{2}\left(1+	an\left(\frac{\pi x}{4}ight)ight)$. Then, $\lim_{n 	o \infty}\frac{2}{n}\left(f\left(\frac{1}{n}ight)+f\left(\frac{2}{n}ight)+....+f(1)ight)$ is equal to _______ .

Accepted Answer

1

Question 22

Let ABCD be a square of side of unit length. Let a circle C₁ centered at A with unit radius is drawn. Another circle C₂ which touches C₁ and the lines AD and AB are tangent to it, is also drawn. Let a tangent line from the point C to the circle C₂ meet the side AB at E. If the length of EB is $\alpha+\sqrt{3}\beta$, where α, β are integers, then α + β is equal to________.

Accepted Answer

1

Question 23

If $\lim_{x 	o 0}\frac{ae^{x} - b\cos x + ce^{-x}}{x\sin x} = 2$, then a + b + c is equal to _______.

Accepted Answer

4

Question 24

The total number of 3 × 3 matrices A having enteries from the set (0, 1, 2, 3) such that the sum of all the diagonal entries of $AA^{T}$ is 9, is equal to _____.

Accepted Answer

766

Question 25

Let $P = \begin{bmatrix} -30 & 20 & 56 \ 90 & 140 & 112 \ 120 & 60 & 14 \end{bmatrix}$ and $A = \begin{bmatrix} 2 & 7 & \omega^{2} \ -1 & -\omega & 1 \ 0 & -\omega & -\omega+1 \end{bmatrix}$ where $\omega = \frac{-1+i\sqrt{3}}{2}$, and I₃ be the identity matrix of order 3. If the determinant of the matrix $(P^{-1}AP - I_{3})^{2}$ is $\alpha\omega^{2}$, then the value of α is equal to ______ .

Accepted Answer

36

Question 26

If the normal to the curve $y(x) = \int_{0}^{x}(2t^{2} - 15t + 10)dt$ at a point (a,b) is parallel to the line x + 3y = −5, a > 1, then the value of |a + 6b| is equal to ________ .

Accepted Answer

406

Question 27

Let the curve y = y(x) be the solution of the differential equation, $\frac{dy}{dx} = 2(x+1)$. If the numerical value of area bounded by the curve y = y(x) and x-axis is $\frac{4\sqrt{8}}{3}$, then the value of y(1) is equal to _______ .

Accepted Answer

2

Question 28

Let f : ℝ → ℝ be a continuous function such that f(x) + f(x + 1) = 2, for all x ∈ ℝ. If $I_{1} = \int_{0}^{8} f(x)dx$ and $I_{2} = \int_{-1}^{3} f(x)dx$, then the value of $I_{1} + 2I_{2}$ is equal to ________ .

Accepted Answer

16

Question 29

Let z and w be two complex numbers such that $w = z\bar{z} - 2z + 2$, $\left|\frac{z+i}{z-3i}\right| = 1$ and Re(w) has minimum value. Then, the minimum value of n ∈ ℕ for which $w^{n}$ is real, is equal to _____.

Accepted Answer

4

Question 30

One main scale division of a vernier callipers is 'a' cm and n$^{th}$ division of the vernier scale coincide with (n − 1)$^{th}$ division of the main scale. The least count of the callipers in mm is :

Accepted Answer

(D) $\frac{10a}{n}$

Answer

(A) $\frac{10na}{(n-1)}$

Answer

(B) $\frac{10a}{(n-1)}$

Answer

(C) $\left(\frac{n-1}{10n}\right)a$

Question 31

For changing the capacitance of a given parallel plate capacitor, a dielectric material of dielectric constant K is used, which has the same area as the plates of the capacitor. The thickness of the dielectric slab is $\frac{3}{4}$d, where 'd' is the separation between the plates of parallel plate capacitor. The new capacitance (C') in terms of original capacitance (C$_0$) is given by the following relation :

Accepted Answer

(C) $C' = \frac{4K}{K+3}C_0$

Answer

(A) $C' = \frac{3+K}{4K}C_0$

Answer

(B) $C' = \frac{4+K}{3}C_0$

Answer

(D) $C' = \frac{4}{3+K}C_0$

Question 32

A block of mass m slides along a floor while a force of magnitude F is applied to it at an angle θ as shown in figure. The coefficient of kinetic friction is μ$_K$. Then, the block's acceleration 'a' is given by : (g is acceleration due to gravity)

Accepted Answer

(B) $\frac{F}{m}\cos	heta - \mu_K\left(g - \frac{F}{m}\sin	hetaight)$

Answer

(A) $-\frac{F}{m}\cos	heta - \mu_K\left(g - \frac{F}{m}\sin	hetaight)$

Answer

(C) $\frac{F}{m}\cos	heta - \mu_K\left(g + \frac{F}{m}\sin	hetaight)$

Answer

(D) $\frac{F}{m}\cos	heta + \mu_K\left(g - \frac{F}{m}\sin	hetaight)$

Question 33

The pressure acting on a submarine is 3 × 10$^{5}$ Pa at a certain depth. If the depth is doubled, the percentage increase in the pressure acting on the submarine would be : (Assume that atmospheric pressure is 1 × 10$^{5}$ Pa density of water is 10$^{3}$ kg m$^{-3}$, g = 10 ms$^{-2}$)

Accepted Answer

(A) $\frac{200}{3}$%

Answer

(B) $\frac{200}{5}$%

Answer

(C) $\frac{5}{200}$%

Answer

(D) $\frac{3}{200}$%

Question 34

The angle of deviation through a prism is minimum when
(A) Incident ray and emergent ray are symmetric to the prism
(B) The refracted ray inside the prism becomes parallel to its base
(C) Angle of incidence is equal to that of the angle of emergence
(D) When angle of emergence is double the angle of incidence
Choose the correct answer from the options given below :

Accepted Answer

(A) Statements (A), (B) and (C) are true

Answer

(B) Only statement (D) is true

Answer

(C) Only statements (A) and (B) are true

Answer

(D) Statements (B) and (C) are true

Question 35

A plane electromagnetic wave of frequency 500 MHz is travelling in vacuum along y-direction. At a particular point in space and time, $\vec{B} = 8.0 	imes 10^{-8}\,\hat{z}\,$T. The value of electric field at this point is :
(speed of light = 3 × 10$^{8}$ ms$^{-1}$)
$\hat{x}, \hat{y}, \hat{z}$ are unit vectors along x, y and z direction.

Accepted Answer

(A) $-24\,\hat{x}$ V/m

Answer

(B) $2.6\,\hat{x}$ V/m

Answer

(C) $24\,\hat{x}$ V/m

Answer

(D) $-2.6\,\hat{y}$ V/m

Question 36

The maximum and minimum distances of a comet from the Sun are 1.6 × 10$^{12}$ m and 8.0 × 10$^{10}$ m respectively. If the speed of the comet at the nearest point is 6 × 10$^{4}$ ms$^{-1}$, the speed at the farthest point is :

Accepted Answer

(C) 3.0 × 10$^{3}$ m/s

Answer

(A) 1.5 × 10$^{3}$ m/s

Answer

(B) 6.0 × 10$^{3}$ m/s

Answer

(D) 4.5 × 10$^{3}$ m/s

Question 37

A bar magnet of length 14 cm is placed in the magnetic meridian with its north pole pointing towards the geographic north pole. A neutral point is obtained at a distance of 18 cm from the center of the magnet. If B$_H$ = 0.4 G, the magnetic moment of the magnet is (1 G = 10$^{-4}$T)

Accepted Answer

(C) 2.880 J T$^{-1}$

Answer

(A) 2.880 × 10$^{3}$ J T$^{-1}$

Answer

(B) 2.880 × 10$^{2}$ J T$^{-1}$

Answer

(D) 28.80 J T$^{-1}$

Question 38

The volume V of an enclosure contains a mixture of three gases, 16 g of oxygen, 28 g of nitrogen and 44 g of carbon dioxide at absolute temperature T. Consider R as universal gas constant. The pressure of the mixture of gases is :

Accepted Answer

(C) $\frac{5}{2}\frac{RT}{V}$

Answer

(A) $\frac{88RT}{V}$

Answer

(B) $\frac{3RT}{V}$

Answer

(D) $\frac{4RT}{V}$

Question 39

In thermodynamics, heat and work are :

Accepted Answer

(A) Path functions

Answer

(B) Intensive thermodynamic state variables

Answer

(C) Extensive thermodynamic state variables

Answer

(D) Point functions

Question 40

Four equal masses, m each are placed at the corners of a square of length (l) as shown in the figure. The moment of inertia of the system about an axis passing through A and parallel to DB would be :

Accepted Answer

(C) $3\,ml^{2}$

Answer

(A) $ml^{2}$

Answer

(B) $2\,ml^{2}$

Answer

(D) $\sqrt{3}\,ml^{2}$

Question 41

A conducting wire of length 'l', area of cross-section A and electric resistivity ρ is connected between the terminals of a battery. A potential difference V is developed between its ends, causing an electric current.
If the length of the wire of the same material is doubled and the area of cross-section is halved, the resultant current would be :

Accepted Answer

(A) $\frac{1}{4}\frac{VA}{\rho l}$

Answer

(B) $\frac{3}{4}\frac{VA}{\rho l}$

Answer

(C) $\frac{1}{4}\frac{\rho l}{VA}$

Answer

(D) $4\frac{VA}{\rho l}$

Question 42

Time period of a simple pendulum is T inside a lift when the lift is stationary. If the lift moves upwards with an acceleration g/2, the time period of pendulum will be :

Accepted Answer

(D) $\sqrt{\frac{2}{3}}\,T$

Answer

(A) $\sqrt{3}\,T$

Answer

(B) $\frac{T}{\sqrt{3}}$

Answer

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

Question 43

A 25 m long antenna is mounted on an antenna tower. The height of the antenna tower is 75 m. The wavelength (in meter) of the signal transmitted by this antenna would be :

Accepted Answer

(D) 100

Answer

(A) 300

Answer

(B) 400

Answer

(C) 200

Question 44

For an electromagnetic wave travelling in free space, the relation between average energy densities due to electric (U$_e$) and magnetic (U$_m$) fields is :

Accepted Answer

(A) $U_e = U_m$

Answer

(B) $U_e > U_m$

Answer

(C) $U_e < U_m$

Answer

(D) $U_e 
eq U_m$

Question 45

An RC circuit as shown in the figure is driven by a AC source generating a square wave. The output wave pattern monitored by CRO would look close to :

Accepted Answer

(C) (3)

Answer

(A) (1)

Answer

(B) (2)

Answer

(D) (4)

Question 46

The stopping potential in the context of photoelectric effect depends on the following property of incident electromagnetic radiation :

Accepted Answer

(D) Frequency

Answer

(A) Phase

Answer

(B) Intensity

Answer

(C) Amplitude

Question 47

A block of 200 g mass moves with a uniform speed in a horizontal circular groove, with vertical side walls of radius 20 cm. If the block takes 40 s to complete one round, the normal force by the side walls of the groove is :

Accepted Answer

(D) 9.859 × 10$^{-4}$ N

Answer

(A) 0.0314 N

Answer

(B) 9.859 × 10$^{-2}$ N

Answer

(C) 6.28 × 10$^{-3}$ N

Question 48

A conducting bar of length L is free to slide on two parallel conducting rails as shown in the figure
Two resistors R$_1$ and R$_2$ are connected across the ends of the rails. There is a uniform magnetic field $\vec{B}$ pointing into the page. An external agent pulls the bar to the left at a constant speed v.
The correct statement about the directions of induced currents I$_1$ and I$_2$ flowing through R$_1$ and R$_2$ respectively is :

Accepted Answer

(C) I$_1$ is in clockwise direction and I$_2$ is in anticlockwise direction

Answer

(A) Both I$_1$ and I$_2$ are in anticlockwise direction

Answer

(B) Both I$_1$ and I$_2$ are in clockwise direction

Answer

(D) I$_1$ is in anticlockwise direction and I$_2$ is in clockwise direction

Question 49

In the figure given, the electric current flowing through the 5 kΩ resistor is 'x' mA. The value of x to the nearest integer is _______.

Accepted Answer

3

Question 50

A fringe width of 6 mm was produced for two slits separated by 1 mm apart. The screen is placed 10 m away. The wavelength of light used is 'x' nm. The value of 'x' to the nearest integer is ______.

Accepted Answer

600

Question 51

Consider a 20 kg uniform circular disk of radius 0.2 m. It is pin supported at its center and is at rest initially. The disk is acted upon by a constant force F = 20 N through a massless string wrapped around its periphery as shown in the figure. Suppose the disk makes n number of revolutions to attain an angular speed of 50 rad s$^{-1}$. The value of n, to the nearest integer, is _______. [Given : In one complete revolution, the disk rotates by 6.28 rad]

Accepted Answer

20

Question 52

The first three spectral lines of H-atom in the Balmer series are given λ$_{1}$, λ$_{2}$, λ$_{3}$ considering the Bohr atomic model, the wave lengths of first and third spectral lines $\left(\dfrac{\lambda_{1}}{\lambda_{3}}\right)$ are related by a factor of approximately 'x' × 10$^{-1}$. The value of x, to the nearest integer, is ________.

Accepted Answer

15

Question 53

The value of power dissipated across the zener diode (V$_{z}$ = 15 V) connected in the circuit as shown in the figure is x × 10$^{-1}$ watt. The value of x, to the nearest integer, is ______.

Accepted Answer

5

Question 54

A sinusoidal voltage of peak value 250 V is applied to a series LCR circuit, in which R = 8Ω, L = 24 mH and C = 60µF. The value of power dissipated at resonant condition is 'x' kW. The value of x to the nearest integer is ________.

Accepted Answer

4

Question 55

In the logic circuit shown in the figure, if input A and B are 0 to 1 respectively, the output at Y would be 'x'. The value of x is _______.

Accepted Answer

0

Question 56

The resistance R = $\dfrac{V}{I}$, where V = (50 ± 2)V and I = (20 ± 0.2)A. The percentage error in R is 'x' %. The value of 'x' to the nearest integer is _________.

Accepted Answer

5

Question 57

Consider a frame that is made up of two thin massless rods AB and AC as shown in the figure. A vertical force $\vec{P}$ of magnitude 100 N is applied at point A of the frame. Suppose the force is $\vec{P}$ resolved parallel to the arms AB and AC of the frame. The magnitude of the resolved component along the arm AC is xN. The value of x, to the nearest integer, is ________.
[Given : sin(35°) = 0.573, cos(35°) = 0.819
sin(110°) = 0.939, cos(110°) = −0.342 ]

Accepted Answer

82

Question 58

A ball of mass 10 kg moving with a velocity $10\sqrt{3}$ ms$^{-1}$ along X-axis, hits another ball of mass 20 kg which is at rest. After collision, the first ball comes to rest and the second one disintegrates into two equal pieces. One of the pieces starts moving along Y-axis at a speed of 10 m/s. The second piece starts moving at a speed of 20 m/s at an angle θ (degree) with respect to the X-axis.
The configuration of pieces after collision is shown in the figure. The value of θ to the nearest integer is _______.

Accepted Answer

30

Question 59

Given below are two statement : one is labelled as Assertion A and the other is labelled as Reason R :
Assertion A : Size of Bk$^{3+}$ ion is less than Np$^{3+}$ ion.
Reason R : The above is a consequence of the lanthanoid contraction.
In the light of the above statements, choose the correct answer from the options given below :

Accepted Answer

(D) A is true but R is false

Answer

(A) A is false but R is true

Answer

(B) Both A and R are true but R is not the correct explanation of A

Answer

(C) Both A and R are true and R is the correct explanation of A

Question 60

Which among the following pairs of Vitamins is stored in our body relatively for longer duration ?

Accepted Answer

(B) Vitamin A and Vitamin D

Answer

(A) Thiamine and Vitamin A

Answer

(C) Thiamine and Ascorbic acid

Answer

(D) Ascorbic acid and Vitamin D

Question 61

Given below are two statements :
Statement I : Both CaCl$_{2}$.6H$_{2}$O and MgCl$_{2}$.8H$_{2}$O undergo dehydration on heating.
Statement II : BeO is amphoteric whereas the oxides of other elements in the same group are acidic.
In the light of the above statements, choose the correct answer from the options given below :

Accepted Answer

(B) Both statement I and statement II are false

Answer

(A) Statement I is false but statement II is true

Answer

(C) Both statement I and statement II are true

Answer

(D) Statement I is true but statement II is false

Question 62

The product "P" in the above reaction is :

Accepted Answer

(B) (2)

Answer

(A) (1)

Answer

(C) (3)

Answer

(D) (4)

Question 63

Match List-I (Industrial process) with List-II (Application) :
Choose the correct answer from the options given below :

Accepted Answer

(C) (a)-(iii), (b)-(i), (c)-(iv), (d)-(ii)

Answer

(A) (a)-(ii), (b)-(iii), (c)-(iv), (d)-(i)

Answer

(B) (a)-(iii), (b)-(iv), (c)-(i), (d)-(ii)

Answer

(D) (a)-(iv), (b)-(i), (c)-(ii), (d)-(iii)

Question 64

Among the following, the aromatic compounds are :
Choose the correct answer from the following options :

Accepted Answer

(B) (B) and (C) only

Answer

(A) (A) and (B) only

Answer

(C) (B), (C) and (D) only

Answer

(D) (A), (B) and (C) only

List-I (Industrial process)	List-II (Application)
a.Haber's process	i.HNO $_{3}$ synthesis
b.Ostwald's process	ii.Aluminium extraction
c.Contact process	iii.NH $_{3}$ synthesis
d.Hall-Heroult process	iv.H $_{2}$ SO $_{4}$ synthesis

List-I (Name of oxo acid)	List-II (Oxidation state of 'P')
a.Hypophosphorous acid	i.+5
b.Orthophosphoric acid	ii.+4
c.Hypophosphoric acid	iii.+3
d.Orthophosphorous acid	iv.+2
	v.+1

JEE Main 16 March 2021 Shift 1 Question Paper with Answers

Physics — JEE Main 16 March 2021 Shift 1

Chemistry — JEE Main 16 March 2021 Shift 1

Mathematics — JEE Main 16 March 2021 Shift 1

Chapters tested in this paper

Attempt this paper under exam timing.