2007 · Shift 0

99 questions · JEE Main

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JEE Main
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2007 · Shift 0

2007 · Shift 0

99 questions · JEE Main

Chemistry38 questions Mathematics24 questions Physics37 questions

Q1.The compound formed as a result of oxidation of ethyl benzene by $K M n O_{4}$ is :
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q2.Which one of the following conformation of cyclohexane is chiral?
Chemistry · Basics of Organic Chemistry · MCQ
Q3.Presence of a nitro group in a benzene ring
Chemistry · Basics of Organic Chemistry · MCQ
Q4.The pKa of a weak acid (HA) is 4.5. The pOH of an aqueous buffered solution of HA in which 50% of the acid is ionized is :
Chemistry · Ionic Equilibrium · MCQ
Q5.In a sautrated solution of the sparingly soluble strong electrolyte $A g I O_{3}$ (Molecular mass = 283) the equilibrium which sets in is $A g I O_{3}$ (s) $⇋$ $A g^{+}$ (aq) + $I O_{3}^{-}$ If the solubility product constant Ksp of $A g I O_{3}$ …
Chemistry · Ionic Equilibrium · MCQ
Q6.The first and second dissociation constants of an acid $H_{2} A$ are 1.0 $\times$ 10−5 and 5.0 $\times$ 10−10 respectively. The overall dissociation constant of the acid will be :
Chemistry · Ionic Equilibrium · MCQ
Q7.Identify the correct statement regarding a spontaneous process :
Chemistry · Thermodynamics · MCQ
Q8.In conversion of lime-stone to lime, $C a C O_{3}$ (s) $\to$ $C a O$ (s) + $C O_{2}$ (g) the vales of ∆H° and ∆S° are +179.1 kJ mol−1 and 160.2 J/K respectively at 298 K and 1 bar. Assuming that ∆H° do not change with temperature, temperature above…
Chemistry · Thermodynamics · MCQ
Q9.Which of the following reactions will yield 2, 2-dibromopropane?
Chemistry · Hydrocarbons · MCQ
Q10.The actinoids exhibits more number of oxidation states in general than the lanthanoids. This is because :
Chemistry · D and F Block Elements · MCQ
Q11.The stability of dihalides of $S i, G e, S n$ and $P b$ increases steadily in the sequence :
Chemistry · P Block Elements · MCQ
Q12.Which of the following molecules is expected to rotate the plane of plane - polarized light?
Chemistry · Basics of Organic Chemistry · MCQ
Q13. Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q14.Assuming that water vapour is an ideal gas, the internal energy change $(Δ U)$ when $1$ mol of water is vapourised at $1$ bar pressure and $10 0^{\circ} C$ (Given : molar enthalpy of vapourisation of water at $1$ bar…
Chemistry · Thermodynamics · MCQ
Q15.The secondary structure of a protein refers to
Chemistry · Biomolecules · MCQ
Q16.In the chemical reaction, $C H_{3} C H_{2} N H_{2}$ + $C H C l_{3}$ + 3 $K O H$ $\to$ (A) + (B) + 3 $H_{2} O$ , the compound (A) and (B) are respectively
Chemistry · Compounds Containing Nitrogen · MCQ
Q17.Which one of the following is the strongest base in aqueous solution?
Chemistry · Compounds Containing Nitrogen · MCQ
Q18.In the following sequence of reactions, $C H_{3} C H_{2} O H$ $P + I_{2}$ A $e t h er ⟶ M g$ B $H C H O$ C $H_{2} O$ D the compound ‘D’ is
Chemistry · Alcohols Phenols and Ethers · MCQ
Q19.Which of the following is the correct order of decreasing SN2 reactivity?
Chemistry · Haloalkanes and Haloarenes · MCQ
Q20.Which one of the following has a square planar geometry?
Chemistry · Coordination Compounds · MCQ
Q21.Identify the incorrect statement among the following :
Chemistry · D and F Block Elements · MCQ
Q22.Regular use of which of the following fertilizer increases the acidity of soil?
Chemistry · P Block Elements · MCQ
Q23.Which of the following nuclear reactions will generate an isotope?
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q24.A radioactive element gets spilled over the floor of a room. Its half-life period is 30 days. If the initial activity is ten times the permissible value, after how many days will it be safe to enter the room?
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q25.Consider the reaction, 2A + B $\to$ products. When concentration of B alone was doubled, the half-life did not change. When the concentration of A alone was doubled, the rate increased by two times. The unit of rate constant for this…
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q26.The energies of activation for forward and reverse reactions for $A_{2}$ + $B_{2}$ $⇋$ 2 $A B$ are 180 kJ mol−1 and 200 kJ mol−1 respectively. The presence of catalyst lowers the activation energy of both (forward and reverse)…
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q27.The cell, $Z n$ | $Z n^{2 +}$ (1M) || $C u^{2 +}$ (1M) | $C u$ ( $E_{ce l l}^{o}$ = 1.10V) was allowed to be completely discharged at 298 K. The relative concentration of $Z n^{2 +}$ to $C u^{2 +}$ $[\frac{[ Z n ^{2 +} ]}{[ C u ^{2 +} ]}]$ …
Chemistry · Electrochemistry · MCQ
Q28.The equivalent conductances of two strong electrolytes at infinite dilution in $H_{2} O$ (where ions move freely through a solution) at 25oC are given below: $\land_{C H_{3} C O O N a}^{o}$ = 91.0 S cm2/equiv $\land_{H C l}^{o}$ = 426.2 S cm2/equiv…
Chemistry · Electrochemistry · MCQ
Q29.A mixture of ethyl alcohol and propyl alcohol has a vapour pressure of 290 mm at 300 K. The vapour pressure of propyl alcohol is 200 mm. If the mole fraction of ethyl alcohol is 0.6, its vapour pressure (in mm) at the same temperature will…
Chemistry · Solutions · MCQ
Q30.A 5.25 % solution of a substance is isotonic with a 1.5% solution of urea (molar mass = 60 g mol−1) in the same solvent. If the densities of both the solutions are assumed to be equal to 1.0 g cm−3, molar mass of the substance will be
Chemistry · Solutions · MCQ
Q31.The reaction of toluene with $C l_{2}$ in presence of $F e C l_{3}$ gives predominantly
Chemistry · Hydrocarbons · MCQ
Q32.Which of the following hydrogen bonds is the strongest?
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q33.In which of the following ionization processes, the bond order has increased and the magnetic behaviour has changed?
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q34.The charge/size ratio of a cation determines its polarizing power. Which one of the following sequences represents the increasing order of the polarizinig order of the polarizing power of the cationic species, $K^{+}$ , $C a^{2 +}$ , $M g^{2 +}$ , $B e^{2 +}$ …
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q35.Which of the following species exhibits the diamagnetic behaviour?
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q36.Which of the following sets of quantum numbers represents the highest energy of an atom?
Chemistry · Structure of Atom · MCQ
Q37.The density (in g mL-1) of a 3.60 M sulphuric acid solution that is 29% $H_{2} S O_{4}$ (molar mass = 98 g mol-1) by mass will be
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q38.In the reaction 2 $A l$ (s) + 6 $H C l$ (aq) $\to$ 2 $A l^{3 +}$ (aq) + 6 $C l^{-}$ (aq) + 3 $H_{2}$ (g)
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q39.The average marks of boys in a class is 52 and that of girls is 42. The average marks of boys and girls combined is 50. The percentage of boys in the class is
Mathematics · Statistics · MCQ
Q40.The function $f : R / {0} \to R$ given by $f (x) = \frac{1}{x} - \frac{2}{e ^{2 x} - 1}$ can be made continuous at $x$ = 0 by defining $f$ (0) as
Mathematics · Limits Continuity and Differentiability · MCQ
Q41.Let $f : R \to R$ be a function defined by $f (x) = min {x + 1, ∣ x ∣ + 1}$ , then which of the following is true?
Mathematics · Limits Continuity and Differentiability · MCQ
Q42.The largest interval lying in $(- \frac{π}{2}, \frac{π}{2})$ for which the function $f (x) = 4^{- x^{2}} + cos^{- 1} (\frac{x}{2} - 1) + lo g (cos x)$ , is defined, is
Mathematics · Functions · MCQ
Q43.If sin-1 $(\frac{x}{5})$ + cosec-1 $(\frac{5}{4})$ = $\frac{π}{2}$ , then the value of x is :
Mathematics · Inverse Trigonometric Functions · MCQ
Q44.If a line makes an angle of $π /4$ with the positive directions of each of $x$ -axis and $y$ -axis, then the angle that the line makes with the positive direction of the $z$ -axis is :
Mathematics · 3D Geometry · MCQ
Q45.Two aeroplanes $I$ and $I I$ bomb a target in succession. The probabilities of $I$ and $I I$ scoring a hit correctly are $0.3$ and $0.2,$ respectively. The second plane will bomb only if the first misses…
Mathematics · Probability · MCQ
Q46.Let $I = 0 \int 1 \frac{s i n x}{x} d x$ and $J = 0 \int 1 \frac{c o s x}{x} d x .$ Then which one of the following is true?
Mathematics · Definite Integration · MCQ
Q47.The area enclosed between the curves $y^{2} = x$ and $y = ∣ x ∣$ is :
Mathematics · Area Under the Curves · MCQ
Q48.The solution for $x$ of the equation $2 \int x \frac{d t}{t t ^{2} - 1} = \frac{π}{2}$ is
Mathematics · Definite Integration · MCQ
Q49.Let $F (x) = f (x) + f (\frac{1}{x}),$ where $f (x) = l \int x \frac{l o g t}{1 + t} d t,$ Then $F (e)$ equals
Mathematics · Definite Integration · MCQ
Q50. $\int \frac{d x}{c o s x + 3 s i n x}$ equals
Mathematics · Indefinite Integrals · MCQ
Q51.If $D = 111 1 1 + x 1 11 1 + y$ for $x e 0, y e 0,$ then $D$ is :
Mathematics · Matrices and Determinants · MCQ
Q52.If $p$ and $q$ are positive real numbers such that $p^{2} + q^{2} = 1$ , then the maximum value of $(p + q)$ is
Mathematics · Application of Derivatives · MCQ
Q53.The function $f (x) = tan^{- 1} (sin x + cos x)$ is an incresing function in
Mathematics · Application of Derivatives · MCQ
Q54.If $u$ and $v$ are unit vectors and $θ$ is the acute angle between them, then $2 u \times 3 v$ is a unit vector for :
Mathematics · Vector Algebra · MCQ
Q55.For the Hyperbola $\frac{x ^{2}}{c o s ^{2} α} - \frac{y ^{2}}{s i n ^{2} α} = 1$ , which of the following remains constant when $α$ varies $=$ ?
Mathematics · Hyperbola · MCQ
Q56.Let A $(h, k)$ , B $(1, 1)$ and C $(2, 1)$ be the vertices of a right angled triangle with AC as its hypotenuse. If the area of the triangle is $1$ square unit, then the set of values which $^{'} k^{'}$ can take is…
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q57.In a geometric progression consisting of positive terms, each term equals the sum of the next two terns. Then the common ratio of its progression is equals
Mathematics · Sequences and Series · MCQ
Q58.The set S = {1, 2, 3, ........., 12} is to be partitioned into three sets A, B, C of equal size. Thus $A \cup B \cup C = S, A \cap B = B \cap C = A \cap C = ϕ$ . The number of ways to partition S is
Mathematics · Permutations and Combinations · MCQ
Q59.In the binomial expansion of $(a - b)^{n}, n \geq 5,$ the sum of $5^{t h}$ and $6^{t h}$ terms is zero, then $a / b$ equals
Mathematics · Binomial Theorem · MCQ
Q60.If the difference between the roots of the equation $x^{2} + a x + 1 = 0$ is less than $5,$ then the set of possible values of $a$ is
Mathematics · Quadratic Equation and Inequalities · MCQ
Q61.If $∣ z + 4 ∣ \leq 3$ , then the maximum value of $∣ z + 1 ∣$ is :
Mathematics · Complex Numbers · MCQ
Q62.Let $L$ be the line of intersection of the planes $2 x + 3 y + z = 1$ and $x + 3 y + 2 z = 2.$ If $L$ makes an angle $α$ with the positive $x$ -axis, then cos $α$ equals
Mathematics · 3D Geometry · MCQ
Q63.If $M_{O}$ is the mass of an oxygen isotope $_{8} O^{17}$ , $M_{p}$ and $M_{N}$ are the masses of a proton and neutron respectively, the nuclear binding energy of the isotope is
Physics · Atoms and Nuclei · MCQ
Q64.If in a $p$ - $n$ junction diode, a square input signal of $10 V$ is applied as shown Then the output signal across $R_{L}$ will be Includes diagram
Physics · Electronic Devices · MCQ
Q65.Carbon, silicon and germanium have four valence electrons each. At room temperature which one of the following statements is most appropriate ?
Physics · Electronic Devices · MCQ
Q66.Which of the following transitions in hydrogen atoms emit photons of highest frequency ?
Physics · Atoms and Nuclei · MCQ
Q67.Photon of frequency $v$ has a momentum associated with it. If $c$ is the velocity of light, the momentum is
Physics · Dual Nature of Radiation · MCQ
Q68.Two lenses of power $- 15 D$ and $+ 5 D$ are in contact with each other. The focal length of the combination is
Physics · Geometrical Optics · MCQ
Q69.In a Young's double slit experiment the intensity at a point where the path difference is $\frac{λ}{6}$ ( $λ$ being the wavelength of light used ) is $I$ . If $I_{0}$ denotes the maximum intensity, $\frac{I}{I _{0}}$ is equal to
Physics · Wave Optics · MCQ
Q70.An ideal coil of $10 H$ is connected in series with a resistance of $5Ω$ and a battery of $5 V$ . $2$ second after the connection is made, the current flowing in ampere in the circuit is
Physics · Electromagnetic Induction · MCQ
Q71.In an $a . c .$ circuit the voltage applied is $E = E_{0} sin ω t .$ The resulting current in the circuit is $I = I_{0} sin (ω t - \frac{π}{2}) .$ The power consumption in the circuit is given by
Physics · Alternating Current · MCQ
Q72.Two identical conducting wires $A O B$ and $C O D$ are placed at right angles to each other. The wire $A O B$ carries an electric current $I_{1}$ and $C O D$ carries a current $I_{2}$ . The magnetic field on a point lying at a distance $d$ from…
Physics · Magnetics · MCQ
Q73.A charged particle moves through a magnetic field perpendicular to its direction. Then
Physics · Magnetics · MCQ
Q74.A long straight wire of radius $a$ carries a steady current $i .$ The current is uniformly distributed across its cross section. The ratio of the magnetic field at $a /2$ and $2 a$ is
Physics · Magnetics · MCQ
Q75.A current $I$ flows along the length of an infinitely long, straight, thin walled pipe. Then
Physics · Magnetics · MCQ
Q76.A charged particle with charge $q$ enters a region of constant, uniform and mutually orthogonal fields $E$ and $B$ with a velocity $v$ perpendicular to both $E$ and $B,$ …
Physics · Magnetics · MCQ
Q77.The resistance of a wire is $5$ ohm at $5 0^{\circ} C$ and $6$ ohm at $10 0^{\circ} C .$ The resistance of the wire at $0^{\circ} C$ will be
Physics · Current Electricity · MCQ
Q78.A battery is used to charge a parallel plate capacitor till the potential difference between the plates becomes equal to the electromotive force of the battery. The ratio of the energy stored in the capacitor and the work done by the…
Physics · Capacitor · MCQ
Q79.If $g_{E}$ and $g_{M}$ are the accelerations due to gravity on the surfaces of the earth and the moon respectively and if Millikan's oil drop experiment could be performed on the two surfaces, one will find the ratio $\frac{e l ec t r o c h a r g e o n t h e m oo n}{e l ec t r o ni c c h a r g e o n t h e e a r t h} t o b e$ …
Physics · Gravitation · MCQ
Q80.A parallel plate condenser with a dielectric of dielectric constant $K$ between the plates has a capacity $C$ and is charged to a potential $V$ volt. The dielectric slab is slowly removed from between the plates and then reinserted. The…
Physics · Capacitor · MCQ
Q81.Charges are placed on the vertices of a square as shown. Let $E$ be the electric field and $V$ the potential at the center. If the charges on $A$ and $B$ are interchanged with those on $D$ and $C$ respectively, then Includes diagram
Physics · Electrostatics · MCQ
Q82.The potential at a point $x$ (measured in $μ m$ ) due to some charges situated on the $x$ -axis is given by $V (x) = 20/ (x^{2} - 4)$ volt The electric field $E$ at $x = 4 μ m$ is given by
Physics · Electrostatics · MCQ
Q83.A $2 k g$ block slides on a horizontal floor with a speed of $4 m / s .$ It strikes a uncompressed spring, and compress it till the block is motionless. The kinetic friction force is $15 N$ and spring constant is $10, 000 N / m .$ The spring…
Physics · Work Power and Energy · MCQ
Q84.An electric charge $1 0^{- 3} μ C$ is placed at the origin $(0, 0)$ of $X - Y$ co-ordinate system. Two points $A$ and $B$ are situated at $(2, 2)$ and $(2, 0)$ respectively. The potential…
Physics · Electrostatics · MCQ
Q85.A sound absorber attenuates the sound level by $20 d B$ . The intensity decreases by a factor of
Physics · Waves · MCQ
Q86.The displacement of an object attached to a spring and executing simple harmonic motion is given by $x = 2 \times 1 0^{- 2} cos π t$ metre. The time at which the maximum speed first occurs is
Physics · Simple Harmonic Motion · MCQ
Q87.A point mass oscillates along the $x$ -axis according to the law $x = x_{0} cos (ω t - π /4) .$ If the acceleration of the particle is written as $a = A cos (ω t + δ),$ then
Physics · Simple Harmonic Motion · MCQ
Q88.Two springs, of force constant $k_{1}$ and $k_{2}$ are connected to a mass $m$ as shown. The frequency of oscillation of the mass is $f .$ If both $k_{1}$ and $k_{2}$ are made four times their original values, the frequency of oscillation… Includes diagram
Physics · Simple Harmonic Motion · MCQ
Q89.A particle of mass $m$ executes simple harmonic motion with amplitude a and frequency $v .$ The average kinetic energy during its motion from the position of equilibrium to the end is
Physics · Simple Harmonic Motion · MCQ
Q90.One end of a thermally insulated rod is kept at a temperature $T_{1}$ and the other at $T_{2}$ . The rod is composed of two sections of length $L_{1}$ and $L_{2}$ and thermal conductivities $K_{1}$ and $K_{2}$ respectively. The temperature… Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q91.When a system is taken from state $i$ to state $f$ along the path iaf, it is found that $Q = 50$ cal and $W = 20 c a l$ . Along the path $ib f Q = 36 c a l . W$ along the path $ib f$ is Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q92.For the given uniform square lamina $A B C D$ , whose center is $O,$ Includes diagram
Physics · Rotational Motion · MCQ
Q93.If $C_{p}$ and $C_{v}$ denote the specific heats of nitrogen per unit mass at constant pressure and constant volume respectively, then
Physics · Heat and Thermodynamics · MCQ
Q94.Angular momentum of the particle rotating with a central force is constant due to
Physics · Rotational Motion · MCQ
Q95.A round uniform body of radius $R,$ mass $M$ and moment of inertia $I$ rolls down (without slipping) an inclined plane making an angle $θ$ with the horizontal. Then its acceleration is
Physics · Rotational Motion · MCQ
Q96.A circular disc of radius $R$ is removed from a bigger circular disc of radius $2 R$ such that the circumferences of the discs coincide. The center of mass of the new disc is $α R$ form the center of the bigger disc. The value of $α$ …
Physics · Center of Mass · MCQ
Q97.A block of mass $m$ is connected to another block of $ma ss M$ by a spring (massless) of spring constant $k .$ The block are kept on a smooth horizontal plane. Initially the blocks are at rest and the spring is unstretched. Then a constant…
Physics · Laws of Motion · MCQ
Q98.The velocity of a particle is v = v0 + gt + ft2. If its position is x = 0 at t = 0, then its displacement after unit time (t = 1) is
Physics · Motion in A Straight Line · MCQ
Q99.A particle is projected at $6 0^{\circ}$ to the horizontal with a kinetic energy K. The kinetic energy at the highest point is
Physics · Work Power and Energy · MCQ

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2007 · Shift 0

99 questions · JEE Main

Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.

PYQ Library
JEE Main
Papers
2007 · Shift 0

2007 · Shift 0

99 questions · JEE Main

Chemistry38 questions Mathematics24 questions Physics37 questions

Q1.The compound formed as a result of oxidation of ethyl benzene by $K M n O_{4}$ is :
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q2.Which one of the following conformation of cyclohexane is chiral?
Chemistry · Basics of Organic Chemistry · MCQ
Q3.Presence of a nitro group in a benzene ring
Chemistry · Basics of Organic Chemistry · MCQ
Q4.The pKa of a weak acid (HA) is 4.5. The pOH of an aqueous buffered solution of HA in which 50% of the acid is ionized is :
Chemistry · Ionic Equilibrium · MCQ
Q5.In a sautrated solution of the sparingly soluble strong electrolyte $A g I O_{3}$ (Molecular mass = 283) the equilibrium which sets in is $A g I O_{3}$ (s) $⇋$ $A g^{+}$ (aq) + $I O_{3}^{-}$ If the solubility product constant Ksp of $A g I O_{3}$ …
Chemistry · Ionic Equilibrium · MCQ
Q6.The first and second dissociation constants of an acid $H_{2} A$ are 1.0 $\times$ 10−5 and 5.0 $\times$ 10−10 respectively. The overall dissociation constant of the acid will be :
Chemistry · Ionic Equilibrium · MCQ
Q7.Identify the correct statement regarding a spontaneous process :
Chemistry · Thermodynamics · MCQ
Q8.In conversion of lime-stone to lime, $C a C O_{3}$ (s) $\to$ $C a O$ (s) + $C O_{2}$ (g) the vales of ∆H° and ∆S° are +179.1 kJ mol−1 and 160.2 J/K respectively at 298 K and 1 bar. Assuming that ∆H° do not change with temperature, temperature above…
Chemistry · Thermodynamics · MCQ
Q9.Which of the following reactions will yield 2, 2-dibromopropane?
Chemistry · Hydrocarbons · MCQ
Q10.The actinoids exhibits more number of oxidation states in general than the lanthanoids. This is because :
Chemistry · D and F Block Elements · MCQ
Q11.The stability of dihalides of $S i, G e, S n$ and $P b$ increases steadily in the sequence :
Chemistry · P Block Elements · MCQ
Q12.Which of the following molecules is expected to rotate the plane of plane - polarized light?
Chemistry · Basics of Organic Chemistry · MCQ
Q13. Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q14.Assuming that water vapour is an ideal gas, the internal energy change $(Δ U)$ when $1$ mol of water is vapourised at $1$ bar pressure and $10 0^{\circ} C$ (Given : molar enthalpy of vapourisation of water at $1$ bar…
Chemistry · Thermodynamics · MCQ
Q15.The secondary structure of a protein refers to
Chemistry · Biomolecules · MCQ
Q16.In the chemical reaction, $C H_{3} C H_{2} N H_{2}$ + $C H C l_{3}$ + 3 $K O H$ $\to$ (A) + (B) + 3 $H_{2} O$ , the compound (A) and (B) are respectively
Chemistry · Compounds Containing Nitrogen · MCQ
Q17.Which one of the following is the strongest base in aqueous solution?
Chemistry · Compounds Containing Nitrogen · MCQ
Q18.In the following sequence of reactions, $C H_{3} C H_{2} O H$ $P + I_{2}$ A $e t h er ⟶ M g$ B $H C H O$ C $H_{2} O$ D the compound ‘D’ is
Chemistry · Alcohols Phenols and Ethers · MCQ
Q19.Which of the following is the correct order of decreasing SN2 reactivity?
Chemistry · Haloalkanes and Haloarenes · MCQ
Q20.Which one of the following has a square planar geometry?
Chemistry · Coordination Compounds · MCQ
Q21.Identify the incorrect statement among the following :
Chemistry · D and F Block Elements · MCQ
Q22.Regular use of which of the following fertilizer increases the acidity of soil?
Chemistry · P Block Elements · MCQ
Q23.Which of the following nuclear reactions will generate an isotope?
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q24.A radioactive element gets spilled over the floor of a room. Its half-life period is 30 days. If the initial activity is ten times the permissible value, after how many days will it be safe to enter the room?
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q25.Consider the reaction, 2A + B $\to$ products. When concentration of B alone was doubled, the half-life did not change. When the concentration of A alone was doubled, the rate increased by two times. The unit of rate constant for this…
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q26.The energies of activation for forward and reverse reactions for $A_{2}$ + $B_{2}$ $⇋$ 2 $A B$ are 180 kJ mol−1 and 200 kJ mol−1 respectively. The presence of catalyst lowers the activation energy of both (forward and reverse)…
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q27.The cell, $Z n$ | $Z n^{2 +}$ (1M) || $C u^{2 +}$ (1M) | $C u$ ( $E_{ce l l}^{o}$ = 1.10V) was allowed to be completely discharged at 298 K. The relative concentration of $Z n^{2 +}$ to $C u^{2 +}$ $[\frac{[ Z n ^{2 +} ]}{[ C u ^{2 +} ]}]$ …
Chemistry · Electrochemistry · MCQ
Q28.The equivalent conductances of two strong electrolytes at infinite dilution in $H_{2} O$ (where ions move freely through a solution) at 25oC are given below: $\land_{C H_{3} C O O N a}^{o}$ = 91.0 S cm2/equiv $\land_{H C l}^{o}$ = 426.2 S cm2/equiv…
Chemistry · Electrochemistry · MCQ
Q29.A mixture of ethyl alcohol and propyl alcohol has a vapour pressure of 290 mm at 300 K. The vapour pressure of propyl alcohol is 200 mm. If the mole fraction of ethyl alcohol is 0.6, its vapour pressure (in mm) at the same temperature will…
Chemistry · Solutions · MCQ
Q30.A 5.25 % solution of a substance is isotonic with a 1.5% solution of urea (molar mass = 60 g mol−1) in the same solvent. If the densities of both the solutions are assumed to be equal to 1.0 g cm−3, molar mass of the substance will be
Chemistry · Solutions · MCQ
Q31.The reaction of toluene with $C l_{2}$ in presence of $F e C l_{3}$ gives predominantly
Chemistry · Hydrocarbons · MCQ
Q32.Which of the following hydrogen bonds is the strongest?
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q33.In which of the following ionization processes, the bond order has increased and the magnetic behaviour has changed?
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q34.The charge/size ratio of a cation determines its polarizing power. Which one of the following sequences represents the increasing order of the polarizinig order of the polarizing power of the cationic species, $K^{+}$ , $C a^{2 +}$ , $M g^{2 +}$ , $B e^{2 +}$ …
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q35.Which of the following species exhibits the diamagnetic behaviour?
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q36.Which of the following sets of quantum numbers represents the highest energy of an atom?
Chemistry · Structure of Atom · MCQ
Q37.The density (in g mL-1) of a 3.60 M sulphuric acid solution that is 29% $H_{2} S O_{4}$ (molar mass = 98 g mol-1) by mass will be
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q38.In the reaction 2 $A l$ (s) + 6 $H C l$ (aq) $\to$ 2 $A l^{3 +}$ (aq) + 6 $C l^{-}$ (aq) + 3 $H_{2}$ (g)
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q39.The average marks of boys in a class is 52 and that of girls is 42. The average marks of boys and girls combined is 50. The percentage of boys in the class is
Mathematics · Statistics · MCQ
Q40.The function $f : R / {0} \to R$ given by $f (x) = \frac{1}{x} - \frac{2}{e ^{2 x} - 1}$ can be made continuous at $x$ = 0 by defining $f$ (0) as
Mathematics · Limits Continuity and Differentiability · MCQ
Q41.Let $f : R \to R$ be a function defined by $f (x) = min {x + 1, ∣ x ∣ + 1}$ , then which of the following is true?
Mathematics · Limits Continuity and Differentiability · MCQ
Q42.The largest interval lying in $(- \frac{π}{2}, \frac{π}{2})$ for which the function $f (x) = 4^{- x^{2}} + cos^{- 1} (\frac{x}{2} - 1) + lo g (cos x)$ , is defined, is
Mathematics · Functions · MCQ
Q43.If sin-1 $(\frac{x}{5})$ + cosec-1 $(\frac{5}{4})$ = $\frac{π}{2}$ , then the value of x is :
Mathematics · Inverse Trigonometric Functions · MCQ
Q44.If a line makes an angle of $π /4$ with the positive directions of each of $x$ -axis and $y$ -axis, then the angle that the line makes with the positive direction of the $z$ -axis is :
Mathematics · 3D Geometry · MCQ
Q45.Two aeroplanes $I$ and $I I$ bomb a target in succession. The probabilities of $I$ and $I I$ scoring a hit correctly are $0.3$ and $0.2,$ respectively. The second plane will bomb only if the first misses…
Mathematics · Probability · MCQ
Q46.Let $I = 0 \int 1 \frac{s i n x}{x} d x$ and $J = 0 \int 1 \frac{c o s x}{x} d x .$ Then which one of the following is true?
Mathematics · Definite Integration · MCQ
Q47.The area enclosed between the curves $y^{2} = x$ and $y = ∣ x ∣$ is :
Mathematics · Area Under the Curves · MCQ
Q48.The solution for $x$ of the equation $2 \int x \frac{d t}{t t ^{2} - 1} = \frac{π}{2}$ is
Mathematics · Definite Integration · MCQ
Q49.Let $F (x) = f (x) + f (\frac{1}{x}),$ where $f (x) = l \int x \frac{l o g t}{1 + t} d t,$ Then $F (e)$ equals
Mathematics · Definite Integration · MCQ
Q50. $\int \frac{d x}{c o s x + 3 s i n x}$ equals
Mathematics · Indefinite Integrals · MCQ
Q51.If $D = 111 1 1 + x 1 11 1 + y$ for $x e 0, y e 0,$ then $D$ is :
Mathematics · Matrices and Determinants · MCQ
Q52.If $p$ and $q$ are positive real numbers such that $p^{2} + q^{2} = 1$ , then the maximum value of $(p + q)$ is
Mathematics · Application of Derivatives · MCQ
Q53.The function $f (x) = tan^{- 1} (sin x + cos x)$ is an incresing function in
Mathematics · Application of Derivatives · MCQ
Q54.If $u$ and $v$ are unit vectors and $θ$ is the acute angle between them, then $2 u \times 3 v$ is a unit vector for :
Mathematics · Vector Algebra · MCQ
Q55.For the Hyperbola $\frac{x ^{2}}{c o s ^{2} α} - \frac{y ^{2}}{s i n ^{2} α} = 1$ , which of the following remains constant when $α$ varies $=$ ?
Mathematics · Hyperbola · MCQ
Q56.Let A $(h, k)$ , B $(1, 1)$ and C $(2, 1)$ be the vertices of a right angled triangle with AC as its hypotenuse. If the area of the triangle is $1$ square unit, then the set of values which $^{'} k^{'}$ can take is…
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q57.In a geometric progression consisting of positive terms, each term equals the sum of the next two terns. Then the common ratio of its progression is equals
Mathematics · Sequences and Series · MCQ
Q58.The set S = {1, 2, 3, ........., 12} is to be partitioned into three sets A, B, C of equal size. Thus $A \cup B \cup C = S, A \cap B = B \cap C = A \cap C = ϕ$ . The number of ways to partition S is
Mathematics · Permutations and Combinations · MCQ
Q59.In the binomial expansion of $(a - b)^{n}, n \geq 5,$ the sum of $5^{t h}$ and $6^{t h}$ terms is zero, then $a / b$ equals
Mathematics · Binomial Theorem · MCQ
Q60.If the difference between the roots of the equation $x^{2} + a x + 1 = 0$ is less than $5,$ then the set of possible values of $a$ is
Mathematics · Quadratic Equation and Inequalities · MCQ
Q61.If $∣ z + 4 ∣ \leq 3$ , then the maximum value of $∣ z + 1 ∣$ is :
Mathematics · Complex Numbers · MCQ
Q62.Let $L$ be the line of intersection of the planes $2 x + 3 y + z = 1$ and $x + 3 y + 2 z = 2.$ If $L$ makes an angle $α$ with the positive $x$ -axis, then cos $α$ equals
Mathematics · 3D Geometry · MCQ
Q63.If $M_{O}$ is the mass of an oxygen isotope $_{8} O^{17}$ , $M_{p}$ and $M_{N}$ are the masses of a proton and neutron respectively, the nuclear binding energy of the isotope is
Physics · Atoms and Nuclei · MCQ
Q64.If in a $p$ - $n$ junction diode, a square input signal of $10 V$ is applied as shown Then the output signal across $R_{L}$ will be Includes diagram
Physics · Electronic Devices · MCQ
Q65.Carbon, silicon and germanium have four valence electrons each. At room temperature which one of the following statements is most appropriate ?
Physics · Electronic Devices · MCQ
Q66.Which of the following transitions in hydrogen atoms emit photons of highest frequency ?
Physics · Atoms and Nuclei · MCQ
Q67.Photon of frequency $v$ has a momentum associated with it. If $c$ is the velocity of light, the momentum is
Physics · Dual Nature of Radiation · MCQ
Q68.Two lenses of power $- 15 D$ and $+ 5 D$ are in contact with each other. The focal length of the combination is
Physics · Geometrical Optics · MCQ
Q69.In a Young's double slit experiment the intensity at a point where the path difference is $\frac{λ}{6}$ ( $λ$ being the wavelength of light used ) is $I$ . If $I_{0}$ denotes the maximum intensity, $\frac{I}{I _{0}}$ is equal to
Physics · Wave Optics · MCQ
Q70.An ideal coil of $10 H$ is connected in series with a resistance of $5Ω$ and a battery of $5 V$ . $2$ second after the connection is made, the current flowing in ampere in the circuit is
Physics · Electromagnetic Induction · MCQ
Q71.In an $a . c .$ circuit the voltage applied is $E = E_{0} sin ω t .$ The resulting current in the circuit is $I = I_{0} sin (ω t - \frac{π}{2}) .$ The power consumption in the circuit is given by
Physics · Alternating Current · MCQ
Q72.Two identical conducting wires $A O B$ and $C O D$ are placed at right angles to each other. The wire $A O B$ carries an electric current $I_{1}$ and $C O D$ carries a current $I_{2}$ . The magnetic field on a point lying at a distance $d$ from…
Physics · Magnetics · MCQ
Q73.A charged particle moves through a magnetic field perpendicular to its direction. Then
Physics · Magnetics · MCQ
Q74.A long straight wire of radius $a$ carries a steady current $i .$ The current is uniformly distributed across its cross section. The ratio of the magnetic field at $a /2$ and $2 a$ is
Physics · Magnetics · MCQ
Q75.A current $I$ flows along the length of an infinitely long, straight, thin walled pipe. Then
Physics · Magnetics · MCQ
Q76.A charged particle with charge $q$ enters a region of constant, uniform and mutually orthogonal fields $E$ and $B$ with a velocity $v$ perpendicular to both $E$ and $B,$ …
Physics · Magnetics · MCQ
Q77.The resistance of a wire is $5$ ohm at $5 0^{\circ} C$ and $6$ ohm at $10 0^{\circ} C .$ The resistance of the wire at $0^{\circ} C$ will be
Physics · Current Electricity · MCQ
Q78.A battery is used to charge a parallel plate capacitor till the potential difference between the plates becomes equal to the electromotive force of the battery. The ratio of the energy stored in the capacitor and the work done by the…
Physics · Capacitor · MCQ
Q79.If $g_{E}$ and $g_{M}$ are the accelerations due to gravity on the surfaces of the earth and the moon respectively and if Millikan's oil drop experiment could be performed on the two surfaces, one will find the ratio $\frac{e l ec t r o c h a r g e o n t h e m oo n}{e l ec t r o ni c c h a r g e o n t h e e a r t h} t o b e$ …
Physics · Gravitation · MCQ
Q80.A parallel plate condenser with a dielectric of dielectric constant $K$ between the plates has a capacity $C$ and is charged to a potential $V$ volt. The dielectric slab is slowly removed from between the plates and then reinserted. The…
Physics · Capacitor · MCQ
Q81.Charges are placed on the vertices of a square as shown. Let $E$ be the electric field and $V$ the potential at the center. If the charges on $A$ and $B$ are interchanged with those on $D$ and $C$ respectively, then Includes diagram
Physics · Electrostatics · MCQ
Q82.The potential at a point $x$ (measured in $μ m$ ) due to some charges situated on the $x$ -axis is given by $V (x) = 20/ (x^{2} - 4)$ volt The electric field $E$ at $x = 4 μ m$ is given by
Physics · Electrostatics · MCQ
Q83.A $2 k g$ block slides on a horizontal floor with a speed of $4 m / s .$ It strikes a uncompressed spring, and compress it till the block is motionless. The kinetic friction force is $15 N$ and spring constant is $10, 000 N / m .$ The spring…
Physics · Work Power and Energy · MCQ
Q84.An electric charge $1 0^{- 3} μ C$ is placed at the origin $(0, 0)$ of $X - Y$ co-ordinate system. Two points $A$ and $B$ are situated at $(2, 2)$ and $(2, 0)$ respectively. The potential…
Physics · Electrostatics · MCQ
Q85.A sound absorber attenuates the sound level by $20 d B$ . The intensity decreases by a factor of
Physics · Waves · MCQ
Q86.The displacement of an object attached to a spring and executing simple harmonic motion is given by $x = 2 \times 1 0^{- 2} cos π t$ metre. The time at which the maximum speed first occurs is
Physics · Simple Harmonic Motion · MCQ
Q87.A point mass oscillates along the $x$ -axis according to the law $x = x_{0} cos (ω t - π /4) .$ If the acceleration of the particle is written as $a = A cos (ω t + δ),$ then
Physics · Simple Harmonic Motion · MCQ
Q88.Two springs, of force constant $k_{1}$ and $k_{2}$ are connected to a mass $m$ as shown. The frequency of oscillation of the mass is $f .$ If both $k_{1}$ and $k_{2}$ are made four times their original values, the frequency of oscillation… Includes diagram
Physics · Simple Harmonic Motion · MCQ
Q89.A particle of mass $m$ executes simple harmonic motion with amplitude a and frequency $v .$ The average kinetic energy during its motion from the position of equilibrium to the end is
Physics · Simple Harmonic Motion · MCQ
Q90.One end of a thermally insulated rod is kept at a temperature $T_{1}$ and the other at $T_{2}$ . The rod is composed of two sections of length $L_{1}$ and $L_{2}$ and thermal conductivities $K_{1}$ and $K_{2}$ respectively. The temperature… Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q91.When a system is taken from state $i$ to state $f$ along the path iaf, it is found that $Q = 50$ cal and $W = 20 c a l$ . Along the path $ib f Q = 36 c a l . W$ along the path $ib f$ is Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q92.For the given uniform square lamina $A B C D$ , whose center is $O,$ Includes diagram
Physics · Rotational Motion · MCQ
Q93.If $C_{p}$ and $C_{v}$ denote the specific heats of nitrogen per unit mass at constant pressure and constant volume respectively, then
Physics · Heat and Thermodynamics · MCQ
Q94.Angular momentum of the particle rotating with a central force is constant due to
Physics · Rotational Motion · MCQ
Q95.A round uniform body of radius $R,$ mass $M$ and moment of inertia $I$ rolls down (without slipping) an inclined plane making an angle $θ$ with the horizontal. Then its acceleration is
Physics · Rotational Motion · MCQ
Q96.A circular disc of radius $R$ is removed from a bigger circular disc of radius $2 R$ such that the circumferences of the discs coincide. The center of mass of the new disc is $α R$ form the center of the bigger disc. The value of $α$ …
Physics · Center of Mass · MCQ
Q97.A block of mass $m$ is connected to another block of $ma ss M$ by a spring (massless) of spring constant $k .$ The block are kept on a smooth horizontal plane. Initially the blocks are at rest and the spring is unstretched. Then a constant…
Physics · Laws of Motion · MCQ
Q98.The velocity of a particle is v = v0 + gt + ft2. If its position is x = 0 at t = 0, then its displacement after unit time (t = 1) is
Physics · Motion in A Straight Line · MCQ
Q99.A particle is projected at $6 0^{\circ}$ to the horizontal with a kinetic energy K. The kinetic energy at the highest point is
Physics · Work Power and Energy · MCQ