JEE Main 1 February 2024 Shift 2 Question Paper

Question 1

Let $f(x)=\big|\,2x^2+5|x|-3\,\big|$, $x\in\mathbb R$. If $m$ and $n$ denote the number of points where $f$ is not continuous and not differentiable respectively, then $m+n$ is equal to:

Accepted Answer

(D) 3

Answer

(A) 5

Answer

(B) 2

Answer

(C) 0

Question 2

The transition metal having highest $3^{	ext{rd}}$ ionisation enthalpy is:

Accepted Answer

(B) Mn

Answer

(A) Cr

Answer

(C) V

Answer

(D) Fe

Question 3

In an ammeter, 5% of the main current passes through the galvanometer. If resistance of the galvanometer is $G$, the resistance of ammeter will be:

Accepted Answer

(A) $\dfrac{G}{200}$

Answer

(B) $\dfrac{G}{199}$

Answer

(C) $199\,G$

Answer

(D) $200\,G$

Question 4

To measure the temperature coefficient of resistivity $\alpha$ of a semiconductor, an electrical arrangement shown in the figure is prepared. The arm BC is made up of the semiconductor. The experiment is being conducted at $25^{\circ}$C and resistance of the semiconductor arm is 3 m$\Omega$. Arm BC is cooled at a constant rate of $2^{\circ}$C/s. If the galvanometer G shows no deflection after 10 s, then $\alpha$ is:

Accepted Answer

(C) $-1	imes 10^{-2}\,^{\circ}$C$^{-1}$

Answer

(A) $-2	imes 10^{-2}\,^{\circ}$C$^{-1}$

Answer

(B) $-1.5	imes 10^{-2}\,^{\circ}$C$^{-1}$

Answer

(D) $-2.5	imes 10^{-2}\,^{\circ}$C$^{-1}$

Question 5

Let $\alpha$ and $\beta$ be the roots of the equation $px^2+qx-r=0$, where $p
eq 0$. If $p$, $q$ and $r$ be the consecutive terms of a non-constant GP and $\dfrac{1}{\alpha}+\dfrac{1}{\beta}=\dfrac{3}{4}$, then the value of $(\alpha-\beta)^2$ is:

Accepted Answer

(A) $\dfrac{80}{9}$

Answer

(B) 9

Answer

(C) $\dfrac{20}{3}$

Answer

(D) 8

Question 6

Given below are two statements: Statement (I): A $\pi$ bonding MO has lower electron density above and below the inter-nuclear axis. Statement (II): The $\pi^*$ antibonding MO has a node between the nuclei. In the light of the above statements, choose the most appropriate answer from the options given below:

Accepted Answer

(C) Statement I is false but Statement II is true

Answer

(A) Both Statement I and Statement II are false

Answer

(B) Both Statement I and Statement II are true

Answer

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

Question 7

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): In aqueous solutions $	ext{Cr}^{2+}$ is reducing and $	ext{Mn}^{3+}$ is oxidising in nature.
Reason (R): Extra stability to half filled electronic configuration is observed than incompletely filled electronic configuration. In the light of the above statement, choose the most appropriate answer from the options given below:

Accepted Answer

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

Answer

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

Answer

(C) (A) is false but (R) is true

Answer

(D) (A) is true but (R) is false

Question 8

The number of solutions of the equation $4\sin^2 x-4\cos^3 x+9-4\cos x=0$, $x\in[-2\pi,\,2\pi]$ is:

Accepted Answer

(D) 0

Answer

(A) 1

Answer

(B) 3

Answer

(C) 2

Question 9

From the statements given below: (A) The angular momentum of an electron in $n^{	ext{th}}$ orbit is an integral multiple of $h$. (B) Nuclear forces do not obey inverse square law. (C) Nuclear forces are spin dependent. (D) Nuclear forces are central and charge independent. (E) Stability of nucleus is inversely proportional to the value of packing fraction. Choose the correct answer from the options given below:

Accepted Answer

(C) (A), (B), (C), (E) only

Answer

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

Answer

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

Answer

(D) (B), (C), (D), (E) only

Question 10

A diatomic gas $(\gamma=1.4)$ does 200 J of work when it is expanded isobarically. The heat given to the gas in the process is:

Accepted Answer

(D) 700 J

Answer

(A) 850 J

Answer

(B) 800 J

Answer

(C) 600 J

Question 11

Match List-I (Reactants of phenol) with List-II (Product). Choose the correct answer from the options given below:

Accepted Answer

(C) (A)-(III), (B)-(I), (C)-(II), (D)-(IV)

Answer

(A) (A)-(IV), (B), (II), (C)-(I), (D)-(III)

Answer

(B) (A)-(IV), (B)-(III), (C)-(I), (D)-(II)

Answer

(D) (A)-(I), (B)-(IV), (C)-(I), (D)-(II)

Question 12

The value of $\displaystyle\int_0^1 (2x^3-3x^2-x+1)^{1/3}\,dx$ is equal to:

Accepted Answer

(A) 0

Answer

(B) 1

Answer

(C) 2

Answer

(D) $-1$

Question 13

Given below are two statements: Statement (I): Both metal and non-metal exist in p and d-block elements. Statement (II): Non-metals have higher ionisation enthalpy and higher electronegativity than the metals. In the light of the above statements, choose the most appropriate answer from the option given below:

Accepted Answer

(B) Statement I is false but Statement II is true

Answer

(A) Both Statement I and Statement II are false

Answer

(C) Statement I is true but Statement II is false

Answer

(D) Both Statement I and Statement II are true

Question 14

A disc of radius R and mass M is rolling horizontally without slipping with speed $v$. It then moves up an inclined smooth surface as shown in figure. The maximum height that the disc can go up the incline is:

Accepted Answer

(C) $\dfrac{1}{2}\dfrac{v^2}{g}$

Answer

(A) $\dfrac{v^2}{g}$

Answer

(B) $\dfrac{3}{4}\dfrac{v^2}{g}$

Answer

(D) $\dfrac{2}{3}\dfrac{v^2}{g}$

Question 15

Let P be a point on the ellipse $\dfrac{x^2}{9}+\dfrac{y^2}{4}=1$. Let the line passing through P and parallel to y-axis meet the circle $x^2+y^2=9$ at point Q such that P and Q are on the same side of the x-axis. Then, the eccentricity of the locus of the point R on PQ such that $PR:RQ=4:3$ as P moves on the ellipse, is:

Accepted Answer

(D) $\dfrac{\sqrt{13}}{7}$

Answer

(A) $\dfrac{11}{19}$

Answer

(B) $\dfrac{13}{21}$

Answer

(C) $\dfrac{\sqrt{139}}{23}$

Question 16

The strongest reducing agent among the following is:

Accepted Answer

(C) $	ext{BiH}_3$

Answer

(A) $	ext{NH}_3$

Answer

(B) $	ext{SbH}_3$

Answer

(D) $	ext{PH}_3$

Question 17

Conductivity of a photodiode starts changing only if the wavelength of incident light is less than 660 nm. The band gap of photodiode is found to be $(X/8)$ eV. The value of X is: (Given, $h=6.6	imes 10^{-34}$ Js, $e=1.6	imes 10^{-19}$ C)

Accepted Answer

(A) 15

Answer

(B) 11

Answer

(C) 13

Answer

(D) 21

Question 18

Let $m$ and $n$ be the coefficients of seventh and thirteenth terms respectively in the expansion of $\left(\dfrac{1}{3}x^{1/3}+\dfrac{1}{2x^{2/3}}\right)^{18}$. Then $\left(\dfrac{n}{m}\right)^{1/3}$ is:

Accepted Answer

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

Answer

(A) $\dfrac{4}{9}$

Answer

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

Answer

(C) $\dfrac{1}{4}$

Question 19

Which of the following compounds show colour due to d–d transition?

Accepted Answer

(A) $	ext{CuSO}_4\cdot 5	ext{H}_2	ext{O}$

Answer

(B) $	ext{K}_2	ext{Cr}_2	ext{O}_7$

Answer

(C) $	ext{K}_2	ext{CrO}_4$

Answer

(D) $	ext{KMnO}_4$

Question 20

Let $\alpha$ be a non-zero real number. Suppose $f:\mathbb R	o\mathbb R$ is a differentiable function such that $f(0)=2$ and $\displaystyle\lim_{x	o-\infty}f(x)=1$. If $f'(x)=\alpha f(x)+3$, for all $x\in\mathbb R$, then $f(-\log_e 2)$ is equal to:

Accepted Answer

(C) 9

Answer

(A) 3

Answer

(B) 5

Answer

(D) 7

Question 21

A big drop is formed by coalescing 1000 small droplets of water. The surface energy will become:

Accepted Answer

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

Answer

(A) 100 times

Answer

(B) 10 times

Answer

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

Question 22

Let P and Q be the points on the line $\dfrac{x+3}{8}=\dfrac{y-4}{2}=\dfrac{z+1}{2}$ which are at a distance of 6 units from the point R(1, 2, 3). If the centroid of the triangle PQR is $(\alpha,\beta,\gamma)$, then $\alpha^2+\beta^2+\gamma^2$ is:

Accepted Answer

(C) 18

Answer

(A) 26

Answer

(B) 36

Answer

(D) 24

Question 23

If frequency of electromagnetic wave is 60 MHz and it travels in air along z direction then the corresponding electric and magnetic field vectors will be mutually perpendicular to each other and the wavelength of the wave (in m) is:

Accepted Answer

(C) 5

Answer

(A) 2.5

Answer

(B) 10

Answer

(D) 2

Question 24

The set of meta directing functional groups from the following sets is:

Accepted Answer

(C) $-	ext{NO}_2$, $-	ext{CHO}$, $-	ext{SO}_3	ext{H}$, $-	ext{COR}$

Answer

(A) $-	ext{CN}$, $-	ext{NH}_2$, $-	ext{NHR}$, $-	ext{OCH}_3$

Answer

(B) $-	ext{NO}_2$, $-	ext{NH}_2$, $-	ext{COOH}$, $-	ext{COOR}$

Answer

(D) $-	ext{CN}$, $-	ext{CHO}$, $-	ext{NHCOCH}_3$, $-	ext{COOR}$

Question 25

Select the compound from the following that will show intramolecular hydrogen bonding.

Accepted Answer

(D) o-nitrophenol

Answer

(A) $	ext{H}_2	ext{O}$

Answer

(B) $	ext{NH}_3$

Answer

(C) $	ext{C}_2	ext{H}_5	ext{OH}$

Question 26

Consider a $	riangle ABC$ where $A(1,2,3)$, $B(-2,8,0)$ and $C(3,6,7)$. If the angle bisector of $\angle BAC$ meets the line BC at D, then the length of the projection of the vector $\vec{AD}$ on the vector $\vec{AC}$ is:

Accepted Answer

(A) $\dfrac{37}{2\sqrt{38}}$

Answer

(B) $\dfrac{\sqrt{38}}{2}$

Answer

(C) $\dfrac{39}{2\sqrt{38}}$

Answer

(D) $\sqrt{19}$

Question 27

A cricket player catches a ball of mass 120 g moving with 25 m/s speed. If the catching process is completed in 0.1 s then the magnitude of force exerted by the ball on the hand of player will be (in SI unit):

Accepted Answer

(D) 30

Answer

(A) 24

Answer

(B) 12

Answer

(C) 25

Question 28

Let $S_n$ denote the sum of the first $n$ terms of an arithmetic progression. If $S_{10}=390$ and the ratio of the tenth and the fifth terms is $15:7$, then $S_{15}-S_5$ is equal to:

Accepted Answer

(C) 790

Answer

(A) 800

Answer

(B) 890

Answer

(D) 690

Question 29

Lassaigne's test is used for detection of:

Accepted Answer

(D) Nitrogen, Sulphur, phosphorous and halogens

Answer

(A) Nitrogen and Sulphur only

Answer

(B) Nitrogen, Sulphur and Phosphorous Only

Answer

(C) Phosphorous and halogens only

Question 30

Monochromatic light of frequency $6	imes 10^{14}$ Hz is produced by a laser. The power emitted is $2	imes 10^{-3}$ W. How many photons per second on an average, are emitted by the source? (Given $h=6.63	imes 10^{-34}$ Js)

Accepted Answer

(C) $5	imes 10^{15}$

Answer

(A) $9	imes 10^{18}$

Answer

(B) $6	imes 10^{15}$

Answer

(D) $7	imes 10^{16}$

Question 31

A microwave of wavelength 2.0 cm falls normally on a slit of width 4.0 cm. The angular spread of the central maxima of the diffraction pattern obtained on a screen 1.5 m away from the slit, will be:

Accepted Answer

(C) $60^{\circ}$

Answer

(A) $30^{\circ}$

Answer

(B) $15^{\circ}$

Answer

(D) $45^{\circ}$

Question 32

If $\displaystyle\int_0^{\pi/3}\cos^4 x\,dx=a\pi+b\sqrt 3$, where $a$ and $b$ are rational numbers, then $9a+8b$ is equal to:

Accepted Answer

(A) 2

Answer

(B) 1

Answer

(C) 3

Answer

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

Question 33

Which among the following has highest boiling point?

Accepted Answer

(B) $	ext{CH}_3	ext{CH}_2	ext{CH}_2-	ext{OH}$

Answer

(A) $	ext{CH}_3	ext{CH}_2	ext{CH}_2	ext{CH}_3$

Answer

(C) $	ext{CH}_3	ext{CH}_2	ext{CH}_2	ext{CHO}$

Answer

(D) $	ext{H}_3	ext{C}_2-	ext{O}-	ext{C}_2	ext{H}_5$

Question 34

$C_1$ and $C_2$ are two hollow concentric cubes enclosing charges $2Q$ and $3Q$ respectively as shown in figure. The ratio of electric flux passing through $C_1$ and $C_2$ is:

Accepted Answer

(A) 2:5

Answer

(B) 5:2

Answer

(C) 2:3

Answer

(D) 3:2

Question 35

In the given reactions identify A and B. $	ext{H}_2+	ext{A}\xrightarrow{	ext{Pd/C}}$ (cis-pent-2-ene structure); $	ext{CH}_3-	ext{C}\equiv	ext{C}-	ext{CH}_3+	ext{H}_2\xrightarrow{	ext{Na/Liquid NH}_3}$ "B".

Accepted Answer

(A) A: 2-Pentyne, B: trans-2-butene

Answer

(B) A: n-Pentane, B: trans-2-butene

Answer

(C) A: 2-Pentyne, B: Cis-2-butene

Answer

(D) A: n-Pentane, B: Cis-2-butene

Question 36

If $z$ is a complex number such that $|z|\ge 1$, then the minimum value of $\left|z+\dfrac{1}{2}(3+4i)\right|$ is:

Accepted Answer

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

Answer

(A) $\dfrac{5}{2}$

Answer

(B) 2

Answer

(C) 3

Question 37

If the domain of the function $f(x)=\dfrac{\sqrt{x^2-25}}{(4-x^2)}+\log_{10}(x^2+2x-15)$ is $(-\infty,\alpha)\cup[\beta,\infty)$, then $\alpha^2+\beta^3$ is equal to:

Accepted Answer

(C) 150

Answer

(A) 140

Answer

(B) 175

Answer

(D) 125

Question 38

The number of radial node/s for 3p orbital is:

Accepted Answer

(A) 1

Answer

(B) 4

Answer

(C) 2

Answer

(D) 3

Question 39

If the root mean square velocity of hydrogen molecule at a given temperature and pressure is 2 km/s, the root mean square velocity of oxygen at the same condition in km/s is:

Accepted Answer

(B) 0.5

Answer

(A) 2.0

Answer

(C) 1.5

Answer

(D) 1.0

Question 40

Train A is moving along two parallel rail tracks towards north with speed 72 km/h and train B is moving towards south with speed 108 km/h. Velocity of train B with respect to A and velocity of ground with respect to B are (in ms$^{-1}$):

Accepted Answer

(C) $-50$ and $30$

Answer

(A) $-30$ and $50$

Answer

(B) $-50$ and $-30$

Answer

(D) $50$ and $-30$

Question 41

Match List-I (Haloalkane / freon) with List-II (Industrial use). Choose the correct answer from the options given below:

Accepted Answer

(B) (A)-(III), (B)-(I), (C)-(IV), (D)-(II)

Answer

(A) (A)-(I), (B), (II), (C)-(III), (D)-(IV)

Answer

(C) (A)-(IV), (B)-(III), (C)-(II), (D)-(I)

Answer

(D) (A)-(II), (B)-(III), (C)-(I), (D)-(IV)

Question 42

Consider the relations $R_1$ and $R_2$ defined as $aR_1 b\Leftrightarrow a^2+b^2=1$ for all $a,b\in\mathbb R$ and $(a,b)R_2(c,d)\Leftrightarrow a+d=b+c$ for all $(a,b),(c,d)\in\mathbb N	imes\mathbb N$. Then

Accepted Answer

(B) Only $R_2$ is an equivalence relation

Answer

(A) Only $R_1$ is an equivalence relation

Answer

(C) $R_1$ and $R_2$ both are equivalence relations

Answer

(D) Neither $R_1$ nor $R_2$ is an equivalence relation

Question 43

If the mirror image of the point $P(3,4,9)$ in the line $\dfrac{x-1}{3}=\dfrac{y+1}{2}=\dfrac{z-2}{1}$ is $(\alpha,\beta,\gamma)$, then $14(\alpha+\beta+\gamma)$ is:

Accepted Answer

(C) 108

Answer

(A) 102

Answer

(B) 138

Answer

(D) 132

Question 44

A galvanometer (G) of 2$\Omega$ resistance is connected in the given circuit. The ratio of charge stored in $C_1$ and $C_2$ is:

Accepted Answer

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

Answer

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

Answer

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

Answer

(C) 1

Question 45

The functional group that shows negative resonance effect is:

Accepted Answer

(C) $-	ext{COOH}$

Answer

(A) $-	ext{NH}_2$

Answer

(B) $-	ext{OH}$

Answer

(D) $-	ext{OR}$

Question 46

In a metre-bridge when a resistance in the left gap is 2$\Omega$ and unknown resistance in the right gap, the balance length is found to be 40 cm. On shunting the unknown resistance with 2$\Omega$, the balance length changes by:

Accepted Answer

(A) 22.5 cm

Answer

(B) 20 cm

Answer

(C) 62.5 cm

Answer

(D) 65 cm

Question 47

$[	ext{Co(NH}_3)_6]^{3+}$ and $[	ext{CoF}_6]^{3-}$ are respectively known as:

Accepted Answer

(B) Spin paired Complex, Spin free Complex

Answer

(A) Spin free Complex, Spin paired Complex

Answer

(C) Outer orbital Complex, Inner orbital Complex

Answer

(D) Inner orbital Complex, Spin paired Complex

Question 48

Let $f(x)=\begin{cases} x-1,& x	ext{ is even},\ 2x,& x	ext{ is odd},\end{cases}\;x\in\mathbb N$. If for some $a\in\mathbb N$, $f(f(f(a)))=21$, then $\displaystyle\lim_{x	o a^-}\left\{\dfrac{|x|^3}{a}-\left[\dfrac{x}{a}ight]ight\}$, where $[t]$ denotes the greatest integer less than or equal to $t$, is equal to:

Accepted Answer

(B) 144

Answer

(A) 121

Answer

(C) 169

Answer

(D) 225

Question 49

Given below are two statements: Statement (I): $	ext{SiO}_2$ and $	ext{GeO}_2$ are acidic while SnO and PbO are amphoteric in nature. Statement (II): Allotropic forms of carbon are due to property of catenation and p$\pi$–d$\pi$ bond formation. In the light of the above statements, choose the most appropriate answer from the options given below:

Accepted Answer

(C) Statement I is true but Statement II is false

Answer

(A) Both Statement I and Statement II are false

Answer

(B) Both Statement I and Statement II are true

Answer

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

Question 50

Let the system of equations $x+2y+3z=5$, $2x+3y+z=9$, $4x+3y+\lambda z=\mu$ have infinite number of solutions. Then $\lambda+2\mu$ is equal to:

Accepted Answer

(B) 17

Answer

(A) 28

Answer

(C) 22

Answer

(D) 15

Question 51

Match List-I (Number) with List-II (Significant figures). Choose the correct answer from the options given below:

Accepted Answer

(C) (A)-(II), (B)-(I), (C)-(IV), (D)-(III)

Answer

(A) (A)-(III), (B)-(IV), (C)-(II), (D)-(I)

Answer

(B) (A)-(IV), (B)-(III), (C)-(I), (D)-(II)

Answer

(D) (A)-(I), (B)-(II), (C)-(III), (D)-(IV)

Question 52

A transformer has an efficiency of $80\%$ and works at 10 V and 4 kW. If the secondary voltage is 240 V, then the current in the secondary coil is:

Accepted Answer

(B) 13.33 A

Answer

(A) 1.59 A

Answer

(C) 1.33 A

Answer

(D) 15.1 A

Question 53

Consider 10 observations $x_1,x_2,\ldots,x_{10}$ such that $\displaystyle\sum_{i=1}^{10}(x_i-\alpha)=2$ and $\displaystyle\sum_{i=1}^{10}(x_i-\beta)^2=40$, where $\alpha,\beta$ are positive integers. Let the mean and the variance of the observations be $\dfrac{6}{5}$ and $\dfrac{84}{25}$ respectively. The $\dfrac{\beta}{\alpha}$ is equal to:

Accepted Answer

(A) 2

Answer

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

Answer

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

Answer

(D) 1

Question 54

$	ext{C}_2	ext{H}_5	ext{Br}\xrightarrow{	ext{alc. KOH}}	ext{A}\xrightarrow{	ext{Br}_2/	ext{CCl}_4}	ext{B}\xrightarrow{	ext{KCN excess}}	ext{C}\xrightarrow{	ext{H}_3	ext{O}^+	ext{Excess}}	ext{D}$. Acid D formed in above reaction is:

Accepted Answer

(B) Succinic acid

Answer

(A) Gluconic acid

Answer

(C) Oxalic acid

Answer

(D) Malonic acid

Question 55

A light planet is revolving around a massive star in a circular orbit of radius R with a period of revolution T. If the force of attraction between planet and star is proportional to $R^{-3/2}$ then choose the correct option:

Accepted Answer

(A) $T^2\propto R^{5/2}$

Answer

(B) $T^2\propto R^{7/2}$

Answer

(C) $T^2\propto R^{3/2}$

Answer

(D) $T^2\propto R^3$

Question 56

Solubility of calcium phosphate (molecular mass, M) in water is $W_g$ per 100 mL at $25^{\circ}$ C. Its solubility product at $25^{\circ}$C will be approximately:

Accepted Answer

(B) $10^7\left(\dfrac{W}{M}\right)^5$

Answer

(A) $10^7\left(\dfrac{W}{M}\right)^3$

Answer

(C) $10^3\left(\dfrac{W}{M}\right)^5$

Answer

(D) $10^5\left(\dfrac{W}{M}\right)^5$

Question 57

Let Ajay will not appear in JEE exam with probability $p=\dfrac{2}{7}$, while both Ajay and Vijay will appear in the exam with probability $q=\dfrac{1}{5}$. Then the probability, that Ajay will appear in the exam and Vijay will not appear is:

Accepted Answer

(B) $\dfrac{18}{35}$

Answer

(A) $\dfrac{9}{35}$

Answer

(C) $\dfrac{24}{35}$

Answer

(D) $\dfrac{3}{35}$

Question 58

Let the locus of the mid points of the chords of circle $x^2+(y-1)^2=1$ drawn from the origin intersect the line $x+y=1$ at P and Q. Then, the length of PQ is:

Accepted Answer

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

Answer

(B) $\sqrt 2$

Answer

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

Answer

(D) 1

Question 59

A body of mass 4 kg experiences two forces $\vec F_1=5\hat i+8\hat j+7\hat k$ and $\vec F_2=3\hat i-4\hat j-3\hat k$. The acceleration acting on the body is:

Accepted Answer

(C) $2\hat i+\hat j+\hat k$

Answer

(A) $-2\hat i-\hat j-\hat k$

Answer

(B) $4\hat i+2\hat j+2\hat k$

Answer

(D) $2\hat i+3\hat j+3\hat k$

Question 60

Given below are two statements: Statement (I): Dimethyl glyoxime forms a six-membered covalent chelate when treated with $	ext{NiCl}_2$ solution in presence of $	ext{NH}_4	ext{OH}$. Statement (II): Prussian blue precipitate contains iron both in (+2) and (+3) oxidation states. In the light of the above statements, choose the most appropriate answer from the options given below:

Accepted Answer

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

Answer

(B) Both Statement I and Statement II are true

Answer

(C) Both Statement I and Statement II are false

Answer

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

Question 61

Total number of isomeric compounds (including stereoisomers) formed by monochlorination of 2-methylbutane is __________.

Accepted Answer

6

Question 62

If three successive terms of a G.P. with common ratio $r$ $(r>1)$ are the lengths of the sides of a triangle and $[r]$ denotes the greatest integer less than or equal to $r$, then $3[r]+[-r]$ is equal to __________.

Accepted Answer

1

Question 63

A mass m is suspended from a spring of negligible mass and the system oscillates with a frequency $f_1$. The frequency of oscillations if a mass 9m is suspended from the same spring is $f_2$. The value of $\dfrac{f_1}{f_2}$ is __________.

Accepted Answer

3

Question 64

The following data were obtained during the first order thermal decomposition of a gas A at constant volume: $	ext{A}(g)	o 2	ext{B}(g)+	ext{C}(g)$. S.No 1: $t=0$ s, Total pressure $=0.1$ atm. S.No 2: $t=115$ s, Total pressure $=0.28$ atm. The rate constant of the reaction is __________ $	imes 10^{-2}$ s$^{-1}$ (nearest integer).

Accepted Answer

2

List-I (Number)	List-II (Significant figure)
A.1001	I.3
B.010.1	II.4
C.100.100	III.5
D.0.0010010	IV.6

List-I (Reactants)	List-II (Products)
A.Phenol, $\text{Zn}/\Delta$	I.Salicylaldehyde
B.Phenol, $\text{CHCl}_3$ , NaOH, HCl	II.Salicylic acid
C.Phenol, $\text{CO}_2$ , NaOH, HCl	III.Benzene
D.Phenol, conc. $\text{HNO}_3$	IV.Picric acid

List-I (Compound)	List-II (Use)
A.Carbon tetrachloride	I.Paint remover
B.Methylene chloride	II.Refrigerators and air conditioners
C.DDT	III.Fire extinguisher
D.Freons	IV.Non Biodegradable insecticide

JEE Main 1 February 2024 Shift 2 Question Paper with Answers

Physics — JEE Main 1 February 2024 Shift 2

Chemistry — JEE Main 1 February 2024 Shift 2

Mathematics — JEE Main 1 February 2024 Shift 2

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