Q1
MATHS
Unit 7: Limit Continuity and Differentiability
If the domain of the function $f(x)=\log_e(4x^2+11x+6)+\sin^{-1}(4x+3)+\cos^{-1}\left(\frac{10x+6}{3}\right)$ is $(\alpha,\beta]$, then $36|\alpha+\beta|$ is equal to
- A. 45
- B. 54
- C. 63
- D. 72
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Q2
CHEMISTRY
Unit 14: Some Basic Principles of Organic Chemistry
The number of real roots of the equation $x|x|-5|x+2|+6=0$, is
- A. 6
- B. 3
- C. 5
- D. 4
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Q3
MATHS
Unit 12: Vector Algebra
If the set $\left\{\operatorname{Re}\left(\dfrac{z-\bar z+z\bar z}{2-3z+5\bar z}\right): z\in\mathbb{C},\ \operatorname{Re}(z)=3\right\}$ is equal to the interval $(\alpha,\beta]$, then $24(\beta-\alpha)$ is equal to
- A. 27
- B. 30
- C. 36
- D. 42
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Q4
MATHS
Unit 3: Matrices and Determinants
Let the determinant of a square matrix $A$ of order $m$ be $m-n$, where $m$ and $n$ satisfy $4m+n=22$ and $17m+4n=93$. If $\det\big(n\,\operatorname{adj}(\operatorname{adj}(mA))\big)=3^a5^b6^c$, then $a+b+c$ is equal to
- A. 84
- B. 96
- C. 101
- D. 109
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Q5
MATHS
Unit 10: Co-ordinate Geometry
Let the system of linear equations
$$-x+2y-9z=7$$
$$-x+3y+7z=9$$
$$-2x+y+5z=8$$
$$-3x+y+13z=\lambda$$
has a unique solution $x=\alpha, y=\beta, z=\gamma$. Then the distance of the point $(\alpha,\beta,\gamma)$ from the plane $2x-2y+z=\lambda$ is
- A. 7
- B. 9
- C. 11
- D. 13
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Q6
MATHS
Unit 4: Permutations and Combinations
The total number of three-digit numbers, divisible by 3, which can be formed using the digits $1,3,5,8$, if repetition of digits is allowed, is
- A. 18
- B. 20
- C. 21
- D. 22
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Q7
MATHS
Unit 5: Binomial Theorem and its Simple Applications
Let $(a+bx+cx^2)^{10}=\sum_{i=0}^{20}p_i x^i$, $a,b,c\in\mathbb{N}$. If $p_1=20$ and $p_2=210$, then $2(a+b+c)$ is equal to
- A. 6
- B. 8
- C. 12
- D. 15
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Q8
MATHS
Unit 4: Permutations and Combinations
Let $A_1$ and $A_2$ be two arithmetic means and $G_1,G_2,G_3$ three geometric means of two distinct positive numbers. Then $G_1^4+G_2^4+G_3^4+G_1^2G_2^2G_3^2$ is equal to
- A. $2(A_1+A_2)G_1G_3$
- B. $(A_1+A_2)G_1^2G_3^2$
- C. $(A_1+A_2)^2G_1G_3$
- D. $2(A_1+A_2)G_1^2G_3^2$
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Q9
MATHS
Unit 7: Limit Continuity and Differentiability
Let $[x]$ denote the greatest integer function and $f(x)=\max\{1+x+[x],\,2+x,\,x+2[x]\}$, $0\le x\le 2$. Let $m$ be the number of points in $[0,2]$, where $f$ is not continuous and $n$ be the number of points in $(0,2)$, where $f$ is not differentiable. Then $(m+n)^2+2$ is equal to
- A. 2
- B. 3
- C. 6
- D. 11
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Q10
MATHS
Unit 8: Integral Calculus
If $\int_0^1 \frac{1}{(5+2x-2x^2)}\left(1+e^{(2-4x)}\right)\,dx=\frac{1}{\alpha}\log_e\left(\frac{\alpha+1}{\beta}\right)$, $\alpha,\beta>0$, then $\alpha^4-\beta^4$ is equal to
- A. -21
- C. 19
- D. 21
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Q11
MATHS
Unit 9: Differential Equations
Let $x=x(y)$ be the solution of the differential equation $2(y+2)\log_e(y+2)\,dx+(x+4-2\log_e(y+2))\,dy=0$, $y>-1$, with $x\,(e^4-2)=1$. Then $x(e^9-2)$ is equal to
- A. 3
- B. $\frac{10}{3}$
- C. $\frac{4}{9}$
- D. $\frac{32}{9}$
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Q12
MATHS
Unit 10: Co-ordinate Geometry
If $(\alpha,\beta)$ is the orthocenter of the triangle $ABC$ with vertices $A(3,-7)$, $B(-1,2)$ and $C(4,5)$, then $9\alpha-6\beta+60$ is equal to
- A. 25
- B. 30
- C. 35
- D. 40
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Q13
MATHS
Unit 10: Co-ordinate Geometry
The number of common tangents, to the circles $x^2+y^2-18x-15y+131=0$ and $x^2+y^2-6x-6y-7=0$, is
- A. 1
- B. 2
- C. 3
- D. 4
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Q14
MATHS
Unit 11: Three Dimensional Geometry
Let the foot of perpendicular of the point $P(3,-2,-9)$ on the plane passing through the points $(-1,-2,-3)$, $(9,3,4)$, $(9,-2,1)$ be $Q(\alpha,\beta,\gamma)$. Then the distance of $Q$ from the origin is
- A. $\sqrt{35}$
- B. $\sqrt{38}$
- C. $\sqrt{29}$
- D. $\sqrt{42}$
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Q15
MATHS
Unit 11: Three Dimensional Geometry
Let $S$ be the set of all values of $\lambda$, for which the shortest distance between the lines $\frac{x-\lambda}{1}=\frac{y-3}{4}=\frac{z+6}{1}$ and $\frac{x+\lambda}{3}=\frac{y}{-4}=\frac{z-6}{0}$ is $13$. Then $8\left|\sum_{\lambda\in S}\lambda\right|$ is equal to
- A. 302
- B. 304
- C. 306
- D. 308
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Q16
MATHS
Unit 12: Vector Algebra
Let $S$ be the set of all $$(\lambda,\mu)$$ for which the vectors $\lambda\hat i-\hat j+\hat k$, $\hat i+2\hat j+\mu\hat k$ and $3\hat i-4\hat j+5\hat k$, where $\lambda-\mu=5$, are coplanar, then $\sum_{(\lambda,\mu)\in S}80(\lambda^2+\mu^2)$ is equal to
- A. 2130
- B. 2210
- C. 2290
- D. 2370
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Q17
MATHS
Unit 12: Vector Algebra
Let ABCD be a quadrilateral. If E and F are the mid points of the diagonals AC and BD respectively and $(\overrightarrow{AB}-\overrightarrow{BC})+(\overrightarrow{AD}-\overrightarrow{DC})=k\,\overrightarrow{FE}$, then $k$ is equal to
- A. -4
- B. -2
- C. 2
- D. 4
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Q18
MATHS
Unit 1: Sets Relations and Functions
A bag contains 6 white and 4 black balls. A die is rolled once and the number of balls equal to the number obtained on the die are drawn from the bag at random. The probability that all the balls drawn are white is
- A. $\frac{1}{5}$
- B. $\frac{11}{50}$
- C. $\frac{9}{50}$
- D. $\frac{1}{4}$
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Q19
MATHS
Unit 2: Complex Numbers and Quadratic Equations
The mean and standard deviation of 10 observations are 20 and 8 respectively. Later on, it was observed that one observation was recorded as 50 instead of 40. Then the correct variance is
- A. 11
- B. 12
- C. 13
- D. 14
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Q20
MATHS
Unit 2: Complex Numbers and Quadratic Equations
Negation of $p\wedge(q\wedge\sim(p\wedge q))$ is
- A. $\sim(p\vee q)$
- B. $p\vee q$
- C. $(\sim(p\wedge q))\wedge q$
- D. $(\sim(p\wedge q))\vee p$
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Q31
PHYSICS
Unit 10: Oscillations and Waves
In a linear Simple Harmonic Motion (SHM)
(A) Restoring force is directly proportional to the displacement.
(B) The acceleration and displacement are opposite in direction.
(C) The velocity is maximum at mean position.
(D) The acceleration is minimum at extreme points.
Choose the correct answer from the options given below:
- A. (A), (B) and (C) Only
- B. (C) and (D) only
- C. (A), (C) and (D) only
- D. (A), (B) and (D) only
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Q32
PHYSICS
Unit 8: Thermodynamics
A flask contains Hydrogen and Argon in the ratio 2:1 by mass. The temperature of the mixture is $30^\circ\mathrm{C}$. The ratio of average kinetic energy per molecule of the two gases $(\text{Ar}/\text{K}\ \text{hydrogen})$ is
(Given: Atomic Weight of Ar = 39.9)
- A. $\frac{39.9}{2}$
- B. 1
- C. 39.9
- D. 2
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Q33
PHYSICS
Unit 4: Work Energy and Power
A thermodynamic system is taken through cyclic process. The total work done in the process is :
-
A.
Zero
-
B.
200 J
-
C.
100 J
-
D.
300 J
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Q34
PHYSICS
Unit 7: Properties of Solids and Liquids
A wire of length $L$ and radius $r$ is clamped rigidly at one end. When the other end of the wire is pulled by a force $f$, its length increases by $l'$. Another wire of same material of length $2L$ and radius $2r$ is pulled by a force $2f$. Then the increase in its length will be:
- A. $l'$
- B. $2l'$
- C. $4l'$
- D. $\frac{l'}{2}$
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Q35
PHYSICS
Unit 6: Gravitation
A body is released from a height equal to the radius ($R$) of the earth. The velocity of the body when it strikes the surface of the earth will be:
(Given $g$ = acceleration due to gravity on the earth)
- A. $\sqrt{2gR}$
- B. $\sqrt{4gR}$
- C. $\sqrt{\frac{gR}{2}}$
- D. $\sqrt{gR}$
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Q36
PHYSICS
Unit 6: Gravitation
Two identical particles each of mass $m$ go round a circle of radius $a$ under the action of their mutual gravitational attraction. The angular speed of each particle will be:
- A. $\sqrt{\frac{Gm}{2a^3}}$
- B. $\sqrt{\frac{Gm}{4a^3}}$
- C. $\sqrt{\frac{Gm}{8a^3}}$
- D. $\sqrt{\frac{Gm}{a^3}}$
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Q37
MATHS
Unit 12: Vector Algebra
A vector in $x-y$ plane makes an angle of $30^\circ$ with $y$-axis. The magnitude of $y$-component of vector is $2\sqrt{3}$. The magnitude of $x$-component of the vector will be:
- A. 2
- B. $\sqrt{3}$
- C. $\frac{1}{\sqrt{3}}$
- D. 6
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Q38
PHYSICS
Unit 2: Kinematics
The position of a particle related to time is given by $x = (5t^2 - 4t + 5)$ m. The magnitude of velocity of the particle at $t = 2s$ will be:
- A. $14\ \text{ms}^{-1}$
- B. $16\ \text{ms}^{-1}$
- C. $10\ \text{ms}^{-1}$
- D. $06\ \text{ms}^{-1}$
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Q39
PHYSICS
Unit 1: Units and Measurements
The speed of a wave produced in water is given by $v = \lambda^a g^b \rho^c$. Where $\lambda$, $g$ and $\rho$ are wavelength of wave, acceleration due to gravity and density of water respectively. The values of $a$, $b$ and $c$ respectively, are:
- A. 1, 1, 0
- B. $\frac{1}{2}, 0, \frac{1}{2}$
- C. $\frac{1}{2}, \frac{1}{2}, 0$
- D. 1, -1, 0
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Q40
PHYSICS
Unit 3: Laws of Motion
The position vector of a particle related to time $t$ is given by
$$\vec{r} = (10t\,\hat{i} + 15t^2\,\hat{j} + 7\hat{k})\,\text{m}$$
The direction of net force experienced by the particle is:
- A. Positive x-axis
- B. Positive y-axis
- C. Positive z-axis
- D. In $x-y$ plane
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Q41
PHYSICS
Unit 11: Electrostatics
The electric field due to a short electric dipole at a large distance $(r)$ from center of dipole on the equatorial plane varies with distance as:
- A. $\frac{1}{r}$
- B. $\frac{1}{r^2}$
- C. $\frac{1}{r^3}$
- D. $r$
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Q42
PHYSICS
Unit 16: Optics
The height of transmitting antenna is $180\ \text{m}$ and the height of the receiving antenna is $245\ \text{m}$. The maximum distance between them for satisfactory communication in line of sight will be:
(given $R = 6400\ \text{km}$)
- A. 48 km
- B. 56 km
- C. 96 km
- D. 104 km
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Q43
PHYSICS
Unit 12: Current Electricity
In the given circuit, the current $(I)$ through the battery will be
- A. 1.5 A
- B. 2.5 A
- C. 1 A
- D. 2 A
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Q44
PHYSICS
Unit 18: Atoms and Nuclei
The half-life of a radioactive nucleus is $5$ years. The fraction of the original sample that would decay in $15$ years is:
- A. $\frac{1}{4}$
- B. $\frac{1}{8}$
- C. $\frac{3}{4}$
- D. $\frac{7}{8}$
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Q45
PHYSICS
Unit 17: Dual Nature of Matter and Radiation
The de Broglie wavelength of an electron having kinetic energy $E$ is $\lambda$. If the kinetic energy of electron becomes $\frac{E}{4}$, then its de-Broglie wavelength will be:
- A. $\frac{\lambda}{2}$
- B. $2\lambda$
- C. $\frac{\lambda}{\sqrt{2}}$
- D. $\sqrt{2}\lambda$
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Q46
PHYSICS
Unit 16: Optics
A single slit of width $a$ is illuminated by a monochromatic light of wavelength $600\,\text{nm}$. The value of $a$ for which first minimum appears at $\theta = 30^\circ$ on the screen will be:
- A. $0.6\,\mu\text{m}$
- B. $1.2\,\mu\text{m}$
- C. $1.8\,\mu\text{m}$
- D. $3\,\mu\text{m}$
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Q47
PHYSICS
Unit 15: Electromagnetic Waves
Match List I with List II of Electromagnetic waves with corresponding wavelength range :
List I
(A) Microwave
(B) Ultraviolet
(C) X-Ray
(D) Infra-red
List II
(I) $400\,\text{nm}$ to $1\,\text{nm}$
(II) $1\,\text{nm}$ to $10^{-3}\,\text{nm}$
(III) $1\,\text{mm}$ to $700\,\text{nm}$
(IV) $0.1\,\text{m}$ to $1\,\text{mm}$
Choose the correct answer from the options given below:
- A. (A)-(I), (B)-(IV), (C)-(II), (D)-(III)
- B. (A)-(IV), (B)-(II), (C)-(I), (D)-(III)
- C. (A)-(IV), (B)-(I), (C)-(II), (D)-(III)
- D. (A)-(IV), (B)-(I), (C)-(III), (D)-(II)
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Q48
PHYSICS
Unit 14: Electromagnetic Induction and Alternating Currents
A $12\,\text{V}$ battery connected to a coil of resistance $6\,\Omega$ through a switch, drives a constant current in the circuit. The switch is opened in $1\,\text{ms}$. The emf induced across the coil is $20\,\text{V}$. The inductance of the coil is:
- A. $5\,\text{mH}$
- B. $8\,\text{mH}$
- C. $10\,\text{mH}$
- D. $12\,\text{mH}$
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Q49
PHYSICS
Unit 12: Current Electricity
For designing a voltmeter of range $50\,\text{V}$ and an ammeter of range $10\,\text{mA}$ using a galvanometer which has a coil of resistance $54\,\Omega$ showing a full scale deflection for $1\,\text{mA}$ as in figure.
- A. for voltmeter $R \approx 50\,\text{k}\Omega$
- B. for ammeter $r \approx 0.2\,\Omega$
- C. for ammeter $r = 6\,\Omega$
- D. for voltmeter $R \approx 5\,\text{k}\Omega$
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Q50
PHYSICS
Unit 12: Current Electricity
Given below are two statements:
Statement I : The equivalent resistance of resistors in a series combination is smaller than least resistance used in the combination.
Statement II : The resistivity of the material is independent of temperature.
In the light of the above statements, choose the correct answer from the options given below :
- A. Both Statement I and Statement II are true
- B. Both Statement I and Statement II are false
- C. Statement I is true but Statement II is false
- D. Statement I is false but Statement II is true
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Q61
CHEMISTRY
Unit 3: Chemical Bonding and Molecular Structure
Which of the following expressions is correct in case of a CsCl unit cell (edge length 'a')?
- A. $r_{\mathrm{Cs}^+} + r_{\mathrm{Cl}^-} = a$
- B. $r_{\mathrm{Cs}^+} + r_{\mathrm{Cl}^-} = \dfrac{a}{\sqrt{2}}$
- C. $r_{\mathrm{Cs}^+} + r_{\mathrm{Cl}^-} = \dfrac{\sqrt{3}}{2}a$
- D. $r_{\mathrm{Cs}^+} + r_{\mathrm{Cl}^-} = \dfrac{a}{2}$
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Q62
CHEMISTRY
Unit 2: Atomic Structure
Given below are two statements:
Statement I : According to Bohr's model of hydrogen atom, the angular momentum of an electron in a given stationary state is quantised.
Statement II : The concept of electron in Bohr's orbit violates the Heisenberg uncertainty principle.
In the light of the above statements, choose the most appropriate answer from the options given below:
- A. Both Statement I and Statement II are correct
- B. Both Statement I and Statement II are incorrect
- C. Statement I is correct but Statement II is incorrect
- D. Statement I is incorrect but Statement II is correct
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Q63
CHEMISTRY
Unit 3: Chemical Bonding and Molecular Structure
Consider the following statements:
(A) $\mathrm{NF_3}$ molecule has a trigonal planar structure.
(B) Bond length of $\mathrm{N_2}$ is shorter than $\mathrm{O_2}$.
(C) Isoelectronic molecules or ions have identical bond order.
(D) Dipole moment of $\mathrm{H_2S}$ is higher than that of water molecule.
Choose the correct answer from the options given below:
- A. (A) and (B) are correct
- B. (B) and (C) are correct
- C. (C) and (D) are correct
- D. (A) and (D) are correct
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Q64
CHEMISTRY
Unit 6: Equilibrium
Which of the following statement(s) is/are correct?
(A) The pH of $1\times 10^{-8}$ M HCl solution is 8.
(B) The conjugate base of $\mathrm{H_2PO_4^-}$ is $\mathrm{HPO_4^{2-}}$.
(C) $K_w$ increases with increase in temperature.
(D) When a solution of a weak monoprotic acid is titrated against a strong base at half neutralisation point, $\mathrm{pH}=\dfrac{1}{2}pK_a$.
Choose the correct answer from the options given below:
- A. (A), (B), (C)
- B. (B), (C), (D)
- C. (B), (C)
- D. (A), (D)
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Q65
CHEMISTRY
Unit 13: Purification and Characterisation of Organic Compounds
Which one of the following is not an example of calcination?
- A. $\mathrm{Fe_2O_3\cdot xH_2O \xrightarrow{\Delta} Fe_2O_3 + xH_2O}$
- B. $\mathrm{CaCO_3 \xrightarrow{\Delta} CaO + CO_2}$
- C. $\mathrm{CaCO_3\cdot MgCO_3 \xrightarrow{\Delta} CaO + MgO + 2CO_2}$
- D. $\mathrm{2PbS + 3O_2 \xrightarrow{\Delta} 2PbO + 2SO_2}$
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Q66
CHEMISTRY
Unit 7: Redox Reactions and Electrochemistry
During water-gas shift reaction
- A. carbon is oxidized to carbon monoxide.
- B. carbon monoxide is oxidized to carbon dioxide.
- C. carbon dioxide is reduced to carbon monoxide.
- D. water is evaporated in presence of catalyst.
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Q67
CHEMISTRY
Unit 13: Purification and Characterisation of Organic Compounds
Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R:
Assertion (A) : BeCl$_2$ and MgCl$_2$ produce characteristic flame
Reason (R) : The excitation energy is high in BeCl$_2$ and MgCl$_2$
In the light of the above statements, choose the correct answer from the options given below :
- A. Both (A) and (R) are true and (R) is the correct explanation of (A)
- B. Both (A) and (R) are true but (R) is NOT the correct explanation of (A)
- C. (A) is true but (R) is false
- D. (A) is false but (R) is true
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Q68
CHEMISTRY
Unit 13: Purification and Characterisation of Organic Compounds
For a good quality cement, the ratio of silica to alumina is found to be
- A. 1.5
- B. 3
- C. 4.5
- D. 2
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Q69
CHEMISTRY
Unit 10: p-Block Elements
The number of $\mathrm{P{-}O{-}P}$ bonds in $\mathrm{H_4P_2O_7}$, $(\mathrm{HPO_3})_3$ and $\mathrm{P_4O_{10}}$ are respectively
- A. 0, 3, 4
- B. 0, 3, 6
- C. 1, 2, 4
- D. 1, 3, 6
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Q70
CHEMISTRY
Unit 12: Coordination Compounds
The complex with highest magnitude of crystal field splitting energy $\Delta_o$ is
- A. $[\mathrm{Ti(H_2O)_6}]^{3+}$
- B. $[\mathrm{Cr(H_2O)_6}]^{3+}$
- C. $[\mathrm{Mn(H_2O)_6}]^{3+}$
- D. $[\mathrm{Fe(H_2O)_6}]^{3+}$
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Q71
CHEMISTRY
Unit 10: p-Block Elements
The possibility of photochemical smog formation will be minimum at
↻ Repeated question — also appeared in
2023 (1 set)
- A. New-Delhi in August (Summer)
- B. Srinagar, Jammu and Kashmir in January
- C. Mumbai in May
- D. Kolkata in October
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Q72
CHEMISTRY
Unit 17: Organic Compounds Containing Oxygen
The product formed in the above reaction is
-
A.
Benzene-fused cyclopentane triol with one ketone and two adjacent OH groups
-
B.
Benzene-fused cyclopentane with two OH groups and one ketone at the right side
-
C.
Benzene-fused cyclopentane with two OH groups on the top carbon and one ketone
-
D.
Benzene-fused cyclohexane diketone with a gem-diol side chain
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Q73
CHEMISTRY
Unit 15: Hydrocarbons
Decreasing order of reactivity towards electrophilic substitution for the following compounds is:
- A. $a > d > e > b > c$
- B. $e > d > a > b > c$
- C. $d > a > e > c > b$
- D. $c > b > a > d > e$
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Q74
CHEMISTRY
Unit 15: Hydrocarbons
The major product formed in the Friedel-Craft acylation of chlorobenzene is
-
A.
Chlorobenzene with $\mathrm{COCH_3}$ para to Cl and another $\mathrm{CH_3}$ substituent
-
B.
p-chloroacetophenone
-
C.
Diaroylated chlorobenzene
-
D.
2,6-diacetylchlorobenzene
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Q75
CHEMISTRY
Unit 16: Organic Compounds Containing Halogens
In the above conversion the correct sequence of reagents to be added is
- A. $(i)$ $\mathrm{Br_2/Fe}$, $(ii)$ $\mathrm{Fe/H^+}$, $(iii)$ $\mathrm{KMnO_4}$, $(iv)$ $\mathrm{Cl_2}$
- B. $(i)$ $\mathrm{KMnO_4}$, $(ii)$ $\mathrm{Br_2/Fe}$, $(iii)$ $\mathrm{Fe/H^+}$, $(iv)$ $\mathrm{Cl_2}$
- C. $(i)$ $\mathrm{Br_2/Fe}$, $(ii)$ $\mathrm{Fe/H^+}$, $(iii)$ $\mathrm{HONO}$, $(iv)$ $\mathrm{CuCl}$, $(v)$ $\mathrm{KMnO_4}$
- D. $(i)$ $\mathrm{Fe/H^+}$, $(ii)$ $\mathrm{HONO}$, $(iii)$ $\mathrm{CuCl}$, $(iv)$ $\mathrm{KMnO_4}$, $(v)$ $\mathrm{Br_2}$
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Q76
CHEMISTRY
Unit 17: Organic Compounds Containing Oxygen
The product formed in the following multistep reaction is :
$i)$ $\mathrm{B_2H_6}$
$ii)$ $\mathrm{H_2O_2,\ NaOH}$
$iii)$ PCC
$iv)$ $\mathrm{CH_3MgBr}$
$\mathrm{CH_3{-}CH{=}CH_2}$
- A. $\mathrm{CH_3{-}C(OH)(CH_3){-}CH_3}$
- B. $\mathrm{CH_3{-}CH_2{-}CH(OH){-}CH_3}$
- C. $\mathrm{CH_3{-}CH_2{-}C(=O)OCH_3}$
- D. $\mathrm{CH_3{-}CH_2{-}CH_2{-}CH_2{-}OH$
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Q77
CHEMISTRY
Unit 18: Organic Compounds Containing Nitrogen
Consider the following sequence of reactions:
Aniline is treated with $\mathrm{NaNO_2}$ at $0$–$5^\circ\mathrm{C}$ to give 'A', which on reaction with $N,N$-dimethylaniline gives 'B'. The product 'B' is
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A.
Azobenzene derivative with one $\mathrm{CH_3}$ on each nitrogen
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B.
Hydrazo compound linking two phenyl rings, one end bearing $\mathrm{N(CH_3)_2}$
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C.
Azo compound: $\mathrm{Ph-N=N-Ph-N(CH_3)_2}$
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D.
Hydrazine derivative linking two phenyl rings, ending with $\mathrm{N(CH_3)_2}$
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Q78
CHEMISTRY
Unit 18: Organic Compounds Containing Nitrogen
Match List I with List II:
List I – (Monomer)
(A) Tetrafluoroethene
(B) Acrylonitrile
(C) Caprolactam
(D) Isoprene
List II – (Polymer)
(I) Orlon
(II) Natural rubber
(III) Teflon
(IV) Nylon-6
Choose the correct answer from the options given below:
- A. (A)-(III), (B)-(I), (C)-(IV), (D)-(II)
- B. (A)-(III), (B)-(IV), (C)-(II), (D)-(I)
- C. (A)-(II), (B)-(III), (C)-(IV), (D)-(I)
- D. (A)-(IV), (B)-(I), (C)-(II), (D)-(III)
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Q79
CHEMISTRY
Unit 19: Biomolecules
Which is not true for arginine?
- A. It is a crystalline solid.
- B. It has high solubility in benzene.
- C. It has a fairly high melting point.
- D. It is associated with more than one $pK_a$ values.
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Q80
CHEMISTRY
Unit 20: Principles Related to Practical Chemistry
Which of the following statement is correct for paper chromatography?
- A. Paper sheet forms the stationary phase.
- B. Water present in the pores of the paper forms the stationary phase.
- C. Paper and water present in its pores together form the stationary phase.
- D. Water present in the mobile phase gets absorbed by the paper which then forms the stationary phase.
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