JEE Main 4 September 2020 Shift 1 Question Paper

Question 1

Let $\alpha$ and $\beta$ be roots of $x^{2} - 3x + p = 0$ and $\gamma$ and $\delta$ be the roots of $x^{2} - 6x + q = 0$. If $\alpha$, $\beta$, $\gamma$, $\delta$, form a geometric progression. Then ratio $(2q + p) : (2q - p)$ is:

Accepted Answer

(D) $9 : 7$

Answer

(A) $33 : 31$

Answer

(B) $5 : 3$

Answer

(C) $3 : 1$

Question 2

Let $f(x) = |x - 2|$ and $g(x) = f(f(x))$, $x \in [0, 4]$. Then $\int\limits_{0}^{3} \left( g(x) - f(x) \right)\, dx$ is equal to:

Accepted Answer

(C) $1$

Answer

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

Answer

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

Answer

(D) $0$

Question 3

Let $f$ be a twice differentiable function on $(1, 6)$. If $f(2) = 8$, $f'(2) = 5$, $f'(x) \geq 1$ and $f''(x) \geq 4$, for all $x \in (1, 6)$, then:

Accepted Answer

(C) $f(5) + f'(5) \geq 28$

Answer

(A) $f(5) + f'(5) \leq 26$

Answer

(B) $f(5) \leq 10$

Answer

(D) $f'(5) + f''(5) \leq 20$

Question 4

Let $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1\,(a > b)$ be given ellipse, length of whose latus rectum is 10. If its eccentricity is the maximum value of the function, $\phi(t) = \frac{5}{12} + t - t^{2}$, then $a^{2} + b^{2}$ is equal to:

Accepted Answer

(A) $126$

Answer

(B) $135$

Answer

(C) $116$

Answer

(D) $145$

Question 5

The mean and variance of 8 observations are 10 and 13.5, respectively. If 6 of these observations are 5, 7, 10, 12, 14, 15, then the absolute difference of the remaining two observations is:

Accepted Answer

(C) $7$

Answer

(A) $3$

Answer

(B) $5$

Answer

(D) $9$

Question 6

Let $x_{0}$ be the point of local maxima of $f(x) = \vec{a} \cdot \left( \vec{b} 	imes \vec{c} ight)$ where $\vec{a} = x\hat{i} - 2\hat{j} + 3\hat{k}$, $\vec{b} = -2\hat{i} + x\hat{j} - \hat{k}$ and $\vec{c} = 7\hat{i} - 2\hat{j} + x\hat{k}$. Then the value of $\vec{a} \cdot \vec{b} + \vec{b} \cdot \vec{c} + \vec{c} \cdot \vec{a}$ at $x = x_{0}$ is

Accepted Answer

(B) $-22$

Answer

(A) $-4$

Answer

(C) $-30$

Answer

(D) $14$

Question 7

If $\left( a + \sqrt{2}\, b \cos x \right)\left( a - \sqrt{2}\, b \cos y \right) = a^{2} - b^{2}$, where $a > b > 0$, then $\frac{dx}{dy}$ at $\left( \frac{\pi}{4}, \frac{\pi}{4} \right)$ is:

Accepted Answer

(C) $\frac{a + b}{a - b}$

Answer

(A) $\frac{a - 2b}{a + 2b}$

Answer

(B) $\frac{2a + b}{2a - 2}$

Answer

(D) $\frac{a - b}{a + b}$

Question 8

Two vertical poles AB = 15 m and CD = 10 m are standing apart on a horizontal ground with points A and C on the ground. If P is the point of intersection of BC and AD, then the height of P (in m) above the line AC is:

Accepted Answer

(B) $6$

Answer

(A) $\frac{10}{3}$

Answer

(C) $5$

Answer

(D) $\frac{20}{3}$

Question 9

If $1 + (1 - 2^{2} \cdot 1) + (1 - 4^{2} \cdot 3) + (1 - 6^{2} \cdot 5) + \ldots\ldots + (1 - 20^{2} \cdot 19) = \alpha - 220\beta$, then an ordered pair $(\alpha, \beta)$ is equal to:

Accepted Answer

(D) $(11, 103)$

Answer

(A) $(11, 97)$

Answer

(B) $(10, 97)$

Answer

(C) $(10, 103)$

Question 10

Given the following two statements:
$(S_{1}) : (q \vee p) \rightarrow (p \leftrightarrow \sim q)$ is a tautology.
$(S_{2}) : \sim q \wedge (\sim p \leftrightarrow q)$ is a fallacy. Then:

Accepted Answer

(C) both $(S_{1})$ and $(S_{2})$ are incorrect

Answer

(A) both $(S_{1})$ and $(S_{2})$ are correct

Answer

(B) only $(S_{2})$ is correct

Answer

(D) only $(S_{1})$ is correct

Question 11

Let $u = \frac{2z + i}{z - ki}$, $z = x + iy$ and $k > 0$. If the curve represented by $\mathrm{Re}(u) + \mathrm{Im}(u) = 1$ intersects the y-axis at the points P and Q where PQ = 5, then the value of k is:

Accepted Answer

(A) $2$

Answer

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

Answer

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

Answer

(D) $4$

Question 12

A triangle ABC lying in the first quadrant has two vertices as A(1, 2) and B(3, 1). If $\angle BAC = 90°$, and $\mathrm{ar}\left( \Delta ABC \right) = 5\sqrt{5}$ sq. units, then the abscissa of the vertex C is:

Accepted Answer

(A) $1 + 2\sqrt{5}$

Answer

(B) $1 + \sqrt{5}$

Answer

(C) $2\sqrt{5} - 1$

Answer

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

Question 13

Let P (3, 3) be a point on the hyperbola, $\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1$. If the normal to it at P intersects the x-axis at (9, 0) and e is its eccentricity, then the ordered pair $(a^{2}, e^{2})$ is equal to:

Accepted Answer

(D) $\left( \frac{9}{2},\, 3 \right)$

Answer

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

Answer

(B) $\left( \frac{9}{2},\, 2 \right)$

Answer

(C) $(9,\, 3)$

Question 14

The integral $\int \left( \frac{x}{x \sin x + \cos x} \right)^{2} dx$ is equal to (where C is constant of integration):

Accepted Answer

(B) $	an x - \frac{x \sec x}{x \sin x + \cos x} + C$

Answer

(A) $	an x + \frac{x \sec x}{x \sin x + \cos x} + C$

Answer

(C) $\sec x + \frac{x 	an x}{x \sin x + \cos x} + C$

Answer

(D) $\sec x - \frac{x 	an x}{x \sin x + \cos x} + C$

Question 15

If $A = \begin{bmatrix} \cos	heta & i\sin	heta \ i\sin	heta & \cos	heta \end{bmatrix}$, $\left( 	heta = \frac{\pi}{24} ight)$ and $A^{5} = \begin{bmatrix} a & b \ c & d \end{bmatrix}$, where $i = \sqrt{-1}$, then, which one of the following is not true?

Accepted Answer

(B) $a^{2} - b^{2} = \frac{1}{2}$

Answer

(A) $a^{2} - c^{2} = 1$

Answer

(C) $0 \le a^{2} + b^{2} \le 1$

Answer

(D) $a^{2} - d^{2} = 0$

Question 16

The value of $\sum_{r=0}^{20} {}^{50-r}C_{6}$ is equal to:

Accepted Answer

(C) ${}^{51}C_{7} - {}^{30}C_{7}$

Answer

(A) ${}^{50}C_{6} - {}^{30}C_{6}$

Answer

(B) ${}^{51}C_{7} + {}^{30}C_{7}$

Answer

(D) ${}^{50}C_{7} - {}^{30}C_{7}$

Question 17

Let [t] denote the greatest integer $\le t$. Then the equation in x, $[x]^{2} + 2[x+2] - 7 = 0$ has:

Accepted Answer

(A) infinitely many solutions

Answer

(B) exactly two solutions

Answer

(C) no integral solution

Answer

(D) exactly four integral solutions

Question 18

Let $f(x) = \int \frac{\sqrt{x}}{(1+x)^{2}} dx$ $(x \ge 0)$. Then $f(3) - f(1)$ is equal to:

Accepted Answer

(A) $\frac{\pi}{12} + \frac{1}{2} - \frac{\sqrt{3}}{4}$

Answer

(B) $-\frac{\pi}{12} + \frac{1}{2} + \frac{\sqrt{3}}{4}$

Answer

(C) $\frac{\pi}{6} + \frac{1}{2} - \frac{\sqrt{3}}{4}$

Answer

(D) $-\frac{\pi}{6} + \frac{1}{2} + \frac{\sqrt{3}}{4}$

Question 19

A survey shows that 63% of the people in a city read newspaper A whereas 76% read newspaper B. if x% of the people read both the newspapers, then a possible value of x can be:

Accepted Answer

(B) 55

Answer

(A) 29

Answer

(C) 37

Answer

(D) 65

Question 20

Let $y = y(x)$ be the solution of the differential equation, $xy' - y = x^{2}(x \cos x + \sin x)$, $x > 0$. If $y(\pi) = \pi$, then $y''\left(\frac{\pi}{2}\right) + y\left(\frac{\pi}{2}\right)$ is equal to:

Accepted Answer

(C) $2 + \frac{\pi}{2}$

Answer

(A) $1 + \frac{\pi}{2} + \frac{\pi^{2}}{4}$

Answer

(B) $2 + \frac{\pi}{2} + \frac{\pi^{2}}{4}$

Answer

(D) $1 + \frac{\pi}{2}$

Question 21

Let $(2x^{2} + 3x + 4)^{10} = \sum_{r=0}^{20} a_{r} x^{r}$. Then $\frac{a_{7}}{a_{13}}$ is equal to __________.

Accepted Answer

8

Question 22

If the equation of a plane P, passing through the intersection of the planes, $x + 4y - z + 7 = 0$ and $3x + y + 5z = 8$ is $ax + by + 6z = 15$ for some $a, b \in R$, then the distance of the point $(3, 2, -1)$ from the plane P is __________.

Accepted Answer

3

Question 23

If the system of equations
$x - 2y + 3z = 9$
$2x + y + z = b$
$x - 7y + az = 24$,
has infinitely many solutions, then $a - b$ is equal to __________.

Accepted Answer

5

Question 24

Suppose a differentiable function $f(x)$ satisfies the identity $f(x+y) = f(x) + f(y) + xy^{2} + x^{2}y$, for all real x and y. If $\lim_{x 	o 0} \frac{f(x)}{x} = 1$ then $f'(3)$ is equal to __________.

Accepted Answer

10

Question 25

The probability of a man hitting a target is $\frac{1}{10}$. The least number of shots required, so that the probability of his hitting the target at least once is greater than $\frac{1}{4}$, is __________.

Accepted Answer

3

Question 26

On the x-axis and at a distance x from the origin, the gravitational field due to a mass distribution is given by $\frac{Ax}{\left(x^{2}+a^{2}\right)^{3/2}}$ in the x-direction. The magnitude of gravitational potential on the x-axis at a distance x, taking its value to be zero at infinity is:

Accepted Answer

(D) $\frac{A}{\left(x^{2}+a^{2}\right)^{1/2}}$

Answer

(A) $A\left(x^{2}+a^{2}\right)^{1/2}$

Answer

(B) $\frac{A}{\left(x^{2}+a^{2}\right)^{3/2}}$

Answer

(C) $A\left(x^{2}+a^{2}\right)^{3/2}$

Question 27

Given figure shows few data points in a photo electric effect experiment for a certain metal. The minimum energy for ejection of electron from its surface is: (Plancks constant $h = 6.62 	imes 10^{-34}$ J.s)

Accepted Answer

(D) 2.27 eV

Answer

(A) 1.93 eV

Answer

(B) 2.10 eV

Answer

(C) 2.59 eV

Question 28

A Tennis ball is released from a height h and after freely falling on a wooden floor it rebounds and reaches height $\frac{h}{2}$. The velocity versus height of the ball during its motion may be represented graphically by:
(graphs are drawn schematically and on not to scale)

Accepted Answer

(C) (C)

Answer

(A) (A)

Answer

(B) (B)

Answer

(D) (D)

Question 29

Dimensional formula for thermal conductivity is (here K denotes the temperature):

Accepted Answer

(A) $MLT^{-3}K^{-1}$

Answer

(B) $MLT^{-2}K^{-2}$

Answer

(C) $MLT^{-2}K$

Answer

(D) $MLT^{-3}K$

Question 30

Particle A of mass $m_{A} = \frac{m}{2}$ moving along the x-axis with velocity $v_{0}$ collides elastically with another particle B at rest having mass $m_{B} = \frac{m}{3}$. If both particles move along the x-axis after the collision, the change $\Delta\lambda$ in de-Broglie wavelength of particle A, in terms of its de-Broglie wavelength $(\lambda_{0})$ before collision is:

Accepted Answer

(D) $\Delta\lambda = 4\lambda_{0}$

Answer

(A) $\Delta\lambda = \frac{3}{2}\lambda_{0}$

Answer

(B) $\Delta\lambda = \frac{5}{2}\lambda_{0}$

Answer

(C) $\Delta\lambda = 2\lambda_{0}$

Question 31

A wire A, bent in the shape of an arc of a circle, carrying a current of 2 A and having radius 2 cm and another wire B, also bent in the shape of arc of a circle, carrying a current of 3 A and having radius of 4 cm, are placed as shown in the figure. The ratio of the magnetic fields due to the wires A and B at the common centre O is:

Accepted Answer

(A) 6 : 5

Answer

(B) 2 : 5

Answer

(C) 6 : 4

Answer

(D) 4 : 6

Question 32

The specific heat of water = 4200 J kg$^{-1}$K$^{-1}$ and the latent heat of ice = $3.4 	imes 10^{5}$ J kg$^{-1}$. 100 grams of ice at 0°C is placed in 200 g of water at 25°C. The amount of ice that will melt as the temperature of water reaches 0°C is close to (in grams):

Accepted Answer

(B) 61.7

Answer

(A) 64.6

Answer

(C) 69.3

Answer

(D) 63.8

Question 33

Take the breakdown voltage of the zener diode used in the given circuit as 6V. For the input voltage shown in figure below, the time variation of the output voltage is:
(Graphs drawn are schematic and not to scale)

Accepted Answer

(A) (A)

Answer

(B) (B)

Answer

(C) (C)

Answer

(D) (D)

Question 34

A beam of plane polarized light of large cross-sectional area and uniform intensity of 3.3 Wm$^{-2}$ falls normally on a polarizer (cross sectional area $3 	imes 10^{-4}$ m$^{2}$) which rotates about its axis with an angular speed of 31.4 rad/s. The energy of light passing through the polariser per revolution, is close to:

Accepted Answer

(D) $1.0 	imes 10^{-4}$ J

Answer

(A) $1.0 	imes 10^{-5}$ J

Answer

(B) $1.5 	imes 10^{-4}$ J

Answer

(C) $5.0 	imes 10^{-4}$ J

Question 35

A small bar magnet placed with its axis at 30° with an external field of 0.06 T experiences a torque of 0.018 Nm. The minimum work required to rotate it from its stable to unstable equilibrium position is:

Accepted Answer

(C) $7.2 	imes 10^{-2}$ J

Answer

(A) $11.7 	imes 10^{-3}$ J

Answer

(B) $9.2 	imes 10^{-3}$ J

Answer

(D) $6.4 	imes 10^{-2}$ J

Question 36

A two point charges 4q and −q are fixed on the x-axis at $x = -\frac{d}{2}$ and $x = \frac{d}{2}$, respectively. If a third point charge 'q' is taken from the origin to x = d along the semicircle as shown in the figure, the energy of the charge will:

Accepted Answer

(A) decrease by $\frac{4q^{2}}{3\pi \epsilon_{0} d}$

Answer

(B) increase by $\frac{2q^{2}}{3\pi \epsilon_{0} d}$

Answer

(C) increase by $\frac{3q^{2}}{4\pi \epsilon_{0} d}$

Answer

(D) decrease by $\frac{q^{2}}{4\pi \epsilon_{0} d}$

Question 37

Choose the correct option relating wavelengths of different parts of electromagnetic wave spectrum:

Accepted Answer

(D) $\lambda_{	ext{radio waves}} > \lambda_{	ext{micro waves}} > \lambda_{	ext{visible}} > \lambda_{	ext{x-rays}}$

Answer

(A) $\lambda_{	ext{x-rays}} < \lambda_{	ext{micro waves}} < \lambda_{	ext{radio waves}} < \lambda_{	ext{visible}}$

Answer

(B) $\lambda_{	ext{visible}} < \lambda_{	ext{micro waves}} < \lambda_{	ext{radio waves}} < \lambda_{	ext{x-rays}}$

Answer

(C) $\lambda_{	ext{visible}} > \lambda_{	ext{x-rays}} > \lambda_{	ext{radio waves}} > \lambda_{	ext{micro waves}}$

Question 38

Match the $C_{P}/C_{V}$ ratio for ideal gases with different type of molecules:
Match the correct option?

Accepted Answer

(B) A → IV;  B → I;  C → II;  D → III

Answer

(A) A → III;  B → IV;  C → II;  D → I

Answer

(C) A → II;  B → III;  C → I;  D → IV

Answer

(D) A → IV;  B → II;  C → I;  D → III

Question 39

A small bar magnet is moved through a coil at constant speed from one end to the other. Which of the following series of observations will be seen on the galvanometer G attached across the coil?

Three positions shown describe:
(a) the magnet's entry
(b) magnet is completely inside and
(c) magnet's exit

Accepted Answer

(A) (A)

Answer

(B) (B)

Answer

(C) (C)

Answer

(D) (D)

Question 40

For a transverse wave traveling along a straight line, the distance between two peaks (crests) is 5 m, while the distance between one crest and one trough is 1.5 m. The possible wavelengths (in m) of the waves are:

Accepted Answer

(B) $\frac{1}{1}, \frac{1}{3}, \frac{1}{5}, ....$

Answer

(A) 1, 3, 5, …..

Answer

(C) $\frac{1}{2}, \frac{1}{4}, \frac{1}{6}, ....$

Answer

(D) 1, 2, 3, ……

Question 41

A air bubble of radius 1 cm in water has an upward acceleration 9.8 cm s$^{-2}$. The density of water is 1 gm cm$^{-3}$ and water offers negligible drag force on the bubble. The mass of the bubble is:
(g = 980 cm/s$^{2}$).

Accepted Answer

(D) 4.15 gm

Answer

(A) 4.51 gm

Answer

(B) 1.52 gm

Answer

(C) 3.15 gm

Question 42

Starting from the origin at time t=0, with initial velocity $5\hat{j}$ ms$^{-1}$, a particle moves in the x – y plane with a constant acceleration of $\left(10\hat{i} + 4\hat{j}\right)$ ms$^{-2}$. At time t, its coordinates are (20 m, $y_0$ m). The values of t and $y_0$ are, respectively:

Accepted Answer

(D) 2 s and 18 m

Answer

(A) 2 s and 24 m

Answer

(B) 4 s and 52 m

Answer

(C) 5 s and 25 m

Question 43

Two charged thin infinite plane sheets of uniform surface charge density $\sigma_+$ and $\sigma_-$, where $|\sigma_+| > |\sigma_-|$, intersect at right angle. Which of the following best represents the electric field lines for this system.

Accepted Answer

(D) (D)

Answer

(A) (A)

Answer

(B) (B)

Answer

(C) (C)

Question 44

Blocks of masses m, 2m and 8m are arranged in a line on a frictionless floor. Another block of mass m, moving with speed v along the same line (see figure) collides with mass m in perfectly inelastic manner. All the subsequent collisions are also perfectly inelastic. By the time the last block of mass 8m starts moving the total energy loss is p% of the original energy. Value of 'p' is close to:

Accepted Answer

(D) 94

Answer

(A) 77

Answer

(B) 37

Answer

(C) 87

Question 45

A battery of 3.0 V is connected to a resistor dissipating 0.5 W of power. If the terminal voltage of the battery is 2.5 V, the power dissipated within the internal resistance is:

Accepted Answer

(B) 0.10 W

Answer

(A) 0.50 W

Answer

(C) 0.125 W

Answer

(D) 0.072 W

Question 46

In a compound microscope, the magnified virtual image is formed at a distance of 25 cm from the eye-piece. The focal length of its objective lens is 1 cm. If the magnification is 100 and the tube length of the microscope is 20 cm, then the focal length of the eye-piece lens (in cm) is _________.

Accepted Answer

6.25

Question 47

ABC is a plane lamina of the shape of an equilateral triangle. D, E are mid points of AB, AC and G is the centroid of the lamina. Moment of inertia of the lamina about an axis passing through G and perpendicular to the plane ABC is $I_0$. If part ADE is removed, the moment of inertia of the remaining part about the same axis is $\frac{NI_0}{16}$ where N is an integer. Value of N is _________.

Accepted Answer

11

Question 48

A circular disc of mass M and radius R is rotating about its axis with angular speed $\omega_1$. If another stationary disc having radius $\frac{R}{2}$ and same mass M is dropped co-axially on to the rotating disc. Gradually both discs attain constant angular speed $\omega_2$. The energy lost in the process is p% of the initial energy. Value of p is ________.

Accepted Answer

20

Question 49

Among statements (a) – (d), the correct ones are:
(a) Lime stone is decomposed to CaO during the extraction of iron from its oxides.
(b) In the extraction of silver, silver is extracted as an anionic complex.
(c) Nickel is purified by Mond's process.
(d) Zr and Ti are purified by Van Arkel method.

Accepted Answer

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

Answer

(B) (c) and (d) only

Answer

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

Answer

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

Question 50

The decreasing order of reactivity of the following organic molecules towards $\mathrm{AgNO_3}$ solution is:

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 51

The region in the electromagnetic spectrum where the Balmer series lines appear is:

Accepted Answer

(B) Visible

Answer

(A) Ultraviolet

Answer

(C) Infrared

Answer

(D) Microwave

Question 52

The pair in which both the species have the same magnetic moment (spin only) is:

Accepted Answer

(C) $\left[\mathrm{Cr(H_2O)_6}\right]^{2+}$ and $\left[\mathrm{Fe(H_2O)_6}\right]^{2+}$

Answer

(A) $\left[\mathrm{Co(OH)_4}\right]^{2-}$ and $\left[\mathrm{Fe(NH_3)_6}\right]^{2+}$

Answer

(B) $\left[\mathrm{Mn(H_2O)_6}\right]^{2+}$ and $\left[\mathrm{Cr(H_2O)}\right]^{2+}$

Answer

(D) $\left[\mathrm{Cr(H_2O)_6}\right]^{2+}$ and $\left[\mathrm{CoCl_4}\right]^{2-}$

Question 53

On heating, lead (II) nitrate gives a brown gas (A). The gas (A) on cooling changes to a colourless solid/liquid (B). (B) on heating with NO changes to a blue solid (C). The oxidation number of nitrogen in solid (C) is:

Accepted Answer

(B) +3

Answer

(A) +4

Answer

(C) +2

Answer

(D) +5

Question 54

[P] on treatment with $\mathrm{Br_2/FeBr_3}$ in $\mathrm{CCl_4}$ produced a single isomer $\mathrm{C_8H_7O_2Br}$ while heating [P] with sodalime gave toluene. The compound [P] is:

Accepted Answer

(C) (C)

Answer

(A) (A)

Answer

(B) (B)

Answer

(D) (D)

Question 55

The ionic radii of $\mathrm{O^{2-}}$, $\mathrm{F^-}$, $\mathrm{Na^+}$ and $\mathrm{Mg^{2+}}$ are in the order:

Accepted Answer

(D) $\mathrm{O^{2-}} > \mathrm{F^-} > \mathrm{Na^+} > \mathrm{Mg^{2+}}$

Answer

(A) $\mathrm{O^{2-}} > \mathrm{F^-} > \mathrm{Mg^{2+}} > \mathrm{Na^+}$

Answer

(B) $\mathrm{Mg^{2+}} > \mathrm{Na^+} > \mathrm{F^-} > \mathrm{O^{2-}}$

Answer

(C) $\mathrm{F^-} > \mathrm{O^{2-}} > \mathrm{Na^+} > \mathrm{Mg^{2+}}$

Question 56

The intermolecular potential energy for the molecules A, B, C and D given below suggest that:

Accepted Answer

(D) A – B has the stiffest bond.

Answer

(A) A – A has the largest bond enthalpy

Answer

(B) A – D has the shortest bond length

Answer

(C) D is more electronegative than other atoms

Question 57

An organic compound (A) (molecular formula $\mathrm{C_6H_{12}O_2}$) was hydrolysed with dil. $\mathrm{H_2SO_4}$ to give a carboxylic acid (B) and an alcohol (C). 'C' gives white turbidity immediately when treated with anhydrous $\mathrm{ZnCl_2}$ and conc. HCl. The organic compound (A) is:

Accepted Answer

(A) (A)

Answer

(B) (B)

Answer

(C) (C)

Answer

(D) (D)

Question 58

For the equilibrium A $\rightleftharpoons$ B, the variation of the rate of the forward (a) and reverse (B) reaction with time is given by:

Accepted Answer

(D) (D)

Answer

(A) (A)

Answer

(B) (B)

Answer

(C) (C)

Question 59

The number of isomers possible for $\left[\mathrm{Pt(en)(NO_2)_2}\right]$ is:

Accepted Answer

(B) 3

Answer

(A) 4

Answer

(C) 1

Answer

(D) 2

Question 60

The IUPAC name of the following compound is:

Accepted Answer

(B) 4–Bromo–2–methylcyclopentane carboxylic acid

Answer

(A) 4–Bromo–5–methylcyclopentanoic acid

Answer

(C) 3–Bromo–5– methylcyclopentane carboxylic acid

Answer

(D) 5–Bromo–3–methylcyclopentanoic acid

Question 61

What are the functional groups present in the structure of maltose?

Accepted Answer

(A) One acetal and one hemiacetal

Answer

(B) One ketal and one hemiketal

Answer

(C) One acetal and one ketal

Answer

(D) Two acetals

Question 62

Identify the incorrect statement from the options below for the above cell:

Accepted Answer

(C) If $E_{ext} > 1.1$ V, Zn dissolves at Zn electrode and Cu deposits at Cu electrode

Answer

(A) If $E_{ext} < 1.1$ V, Zn dissolves at anode and Cu deposits at cathode

Answer

(B) If $E_{ext} = 1.1$ V, no flow of e$^-$ or current occurs

Answer

(D) If $E_{ext} > 1.1$ V, e$^-$ flows from Cu to Zn

Question 63

Which of the following will react with CHCl$_3$ + alc. KOH?

Accepted Answer

(B) Adenine and lysine

Answer

(A) Adenine and proline

Answer

(C) Adenine and thymine

Answer

(D) Thymine and proline

Question 64

Match the following:

Accepted Answer

(D) (i)-(e), (ii)-(c), (iii)-(a), (iv)-(f)

Answer

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

Answer

(B) (i)-(d), (ii)-(b), (iii)-(e), (iv)-(f)

Answer

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

Molecule Type	$C_{P}/C_{V}$
A.Monatomic	I. $\frac{7}{5}$
B.Diatomic rigid molecules	II. $\frac{9}{7}$
C.Diatomic non-rigid molecules	III. $\frac{4}{3}$
D.Triatomic rigid molecules	IV. $\frac{5}{3}$

Column I	Column II
(i).Foam	(a).smoke
(ii).Gel	(b).cell fluid
(iii).Aerosol	(c).jellies
(iv).Emulsion	(d).rubber
	(e).froth
	(f).milk

JEE Main 4 September 2020 Shift 1 Question Paper with Answers

Physics — JEE Main 4 September 2020 Shift 1

Chemistry — JEE Main 4 September 2020 Shift 1

Mathematics — JEE Main 4 September 2020 Shift 1

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