2024 · 9 Apr · Shift 2

90 questions · JEE Main

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2024 · 9 Apr · Shift 2

2024 · 9 Apr · Shift 2

90 questions · JEE Main

Chemistry30 questions Mathematics30 questions Physics30 questions

Q1.In the above reaction product 'P' is Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q2.The correct stability order of the following resonance structures of $CH_{3} - CH = CH - CHO$ is Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q3.Match List I with List II Choose the correct answer from the options given below: Includes table
Chemistry · Periodic Table and Periodicity · MCQ
Q4.The electronic configuration of Einsteinium is : (Given atomic number of Einsteinium $= 99$ )
Chemistry · D and F Block Elements · MCQ
Q5.Which of the following compound can give positive iodoform test when treated with aqueous $KOH$ solution followed by potassium hypoiodite.
Chemistry · Practical Organic Chemistry · MCQ
Q6.Give below are two statements : Statement I : The higher oxidation states are more stable down the group among transition elements unlike p-block elements. Statement II : Copper can not liberate hydrogen from weak acids. In the light of…
Chemistry · D and F Block Elements · MCQ
Q7.Which of the following compounds will give silver mirror with ammoniacal silver nitrate? A. Formic acid B. Formaldehyde C. Benzaldehyde D. Acetone Choose the correct answer from the options given below :
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q8.Total number of stereo isomers possible for the given structure : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q9.Match List I with List II Choose the correct answer from the options given below : Includes table
Chemistry · Electrochemistry · MCQ
Q10.The candela is the luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency ' $A$ ' $\times 1 0^{12}$ hertz and that has a radiant intensity in that direction of $\frac{1}{^{'} B ^{'}}$ , watt per…
Chemistry · Structure of Atom · MCQ
Q11.Match List I with List II Choose the correct answer from the options given below: Includes table
Chemistry · Periodic Table and Periodicity · MCQ
Q12.Which out of the following is a correct equation to show change in molar conductivity with respect to concentration for a weak electrolyte, if the symbols carry their usual meaning :
Chemistry · Electrochemistry · MCQ
Q13.The correct increasing order for bond angles among $BF_{3}, PF_{3}$ and $ClF_{3}$ is :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q14.For a sparingly soluble salt $AB_{2}$ , the equilibrium concentrations of $A^{2 +}$ ions and $B^{-}$ ions are $1.2 \times 1 0^{- 4} M$ and $0.24 \times 1 0^{- 3} M$ , respectively. The solubility product of $AB_{2}$ …
Chemistry · Ionic Equilibrium · MCQ
Q15.Match List I with List II Choose the correct answer from the options given below: Includes table
Chemistry · Coordination Compounds · MCQ
Q16.Match List I with List II Choose the correct answer from the options given below: Includes table
Chemistry · Practical Organic Chemistry · MCQ
Q17.The incorrect statement about Glucose is :
Chemistry · Biomolecules · MCQ
Q18.Major product of the following reaction is Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q19.The coordination environment of $Ca^{2 +}$ ion in its complex with $EDTA^{4 -}$ is :
Chemistry · Coordination Compounds · MCQ
Q20.The incorrect statement regarding ethyne is
Chemistry · Hydrocarbons · MCQ
Q21.Based on Heisenberg's uncertainty principle, the uncertainty in the velocity of the electron to be found within an atomic nucleus of diameter $1 0^{- 15} m$ is $\times 1 0^{9} ms^{- 1}$ (nearest…
Chemistry · Structure of Atom · Numerical
Q22.In the given TLC, the distance of spot A & B are 5 cm & 7 cm, from the bottom of TLC plate, respectively. $R_{f}$ value of $B$ is $x \times 1 0^{- 1}$ times more than $A$ . The value of $x$ is … Includes diagram
Chemistry · Practical Organic Chemistry · Numerical
Q23.Number of compounds from the following which cannot undergo Friedel-Crafts reactions is: toluene, nitrobenzene, xylene, cumene, aniline, chlorobenzene, $m$ -nitroaniline, $m$ -dinitrobenzene
Chemistry · Compounds Containing Nitrogen · Numerical
Q24.Total number of electrons present in $(π^{*})$ molecular orbitals of $O_{2}, O_{2}^{+}$ and $O_{2}^{-}$ is .
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q25.A transition metal ' $M$ ' among $Sc, Ti, V, Cr, Mn$ and $Fe$ has the highest second ionisation enthalpy. The spin-only magnetic moment value of $M^{+}$ ion is …
Chemistry · D and F Block Elements · Numerical
Q26.Consider the following first order gas phase reaction at constant temperature $A (g) \to 2 B (g) + C (g)$ If the total pressure of the gases is found to be 200 torr after 23 $sec$ …
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q27.When $Δ H_{vap} = 30 kJ / mol$ and $Δ S_{vap} = 75 J mol^{- 1} K^{- 1}$ , then the temperature of vapour, at one atmosphere is …
Chemistry · Thermodynamics · Numerical
Q28.Consider the following test for a group-IV cation. $M^{2 +} + H_{2} S \to A (Black precipitate)+ byproduct A + aqua regia \to B + NOCl + S + H_{2} OB + KNO_{2} + CH_{3} COOH \to C + byproduct$ …
Chemistry · Coordination Compounds · Numerical
Q29.Number of oxygen atoms present in chemical formula of fuming sulphuric acid is .
Chemistry · P Block Elements · Numerical
Q30.The vapor pressure of pure benzene and methyl benzene at $2 7^{\circ} C$ is given as 80 Torr and 24 Torr, respectively. The mole fraction of methyl benzene in vapor phase, in equilibrium with an equimolar mixture of those two…
Chemistry · Solutions · Numerical
Q31.Let the foci of a hyperbola $H$ coincide with the foci of the ellipse $E : \frac{( x - 1 ) ^{2}}{100} + \frac{( y - 1 ) ^{2}}{75} = 1$ and the eccentricity of the hyperbola $H$ be the reciprocal of the eccentricity of the ellipse $E$ . If the length of the…
Mathematics · Hyperbola · MCQ
Q32.Let $z$ be a complex number such that the real part of $\frac{z - 2 i}{z + 2 i}$ is zero. Then, the maximum value of $∣ z - (6 + 8 i) ∣$ is equal to
Mathematics · Complex Numbers · MCQ
Q33.Let the range of the function $f (x) = \frac{1}{2 + s i n 3 x + c o s 3 x}, x \in R$ be $[a, b]$ . If $α$ and $β$ ar respectively the A.M. and the G.M. of $a$ and $b$ , then $\frac{α}{β}$ is equal to
Mathematics · Functions · MCQ
Q34.Let $0 \int x 1 - (y^{'} (t))^{2} d t = \int_{0}^{x} y (t) d t, 0 \leq x \leq 3, y \geq 0, y (0) = 0$ . Then at $x = 2, y^{''} + y + 1$ is equal to
Mathematics · Differential Equations · MCQ
Q35.Two vertices of a triangle $ABC$ are $A (3, - 1)$ and $B (- 2, 3)$ , and its orthocentre is $P (1, 1)$ . If the coordinates of the point $C$ are $(α, β)$ and the centre of the of the circle…
Mathematics · Properties of Triangle · MCQ
Q36.The integral $\int_{1/4}^{3/4} cos (2 cot^{- 1} \frac{1 - x}{1 + x}) d x$ is equal to
Mathematics · Definite Integration · MCQ
Q37.Let $α, β; α > β$ , be the roots of the equation $x^{2} - 2 x - 3 = 0$ . Let $P_{n} = α^{n} - β^{n}, n \in N$ . Then $(113 - 102) P_{10} + (112 + 10) P_{11} - 11 P_{12}$ …
Mathematics · Quadratic Equation and Inequalities · MCQ
Q38.If $lo g_{e} y = 3 sin^{- 1} x$ , then $(1 - x^{2}) y^{''} - x y^{'}$ at $x = \frac{1}{2}$ is equal to
Mathematics · Differentiation · MCQ
Q39.If an unbiased dice is rolled thrice, then the probability of getting a greater number in the $i^{th}$ roll than the number obtained in the $(i - 1)^{th}$ roll, $i = 2, 3$ , is equal to
Mathematics · Probability · MCQ
Q40. $lim_{x \to \frac{π}{2}} (\frac{\int _{x^{3}}^{(π /2)^{3}} ( s i n ( 2 t ^{1/3} ) + c o s ( t ^{1/3} ) ) d t}{( x - \frac{π}{2} ) ^{2}})$ is equal to
Mathematics · Definite Integration · MCQ
Q41.The value of the integral $\int_{- 1}^{2} lo g_{e} (x + x^{2} + 1) d x$ is
Mathematics · Definite Integration · MCQ
Q42.Between the following two statements: Statement I : Let $a = \hat{i} + 2 \hat{j} - 3 \hat{k}$ and $b = 2 \hat{i} + \hat{j} - \hat{k}$ . Then the vector $r$ satisfying $a \times r = a \times b$ and $a \cdot r = 0$ …
Mathematics · Vector Algebra · MCQ
Q43.If the variance of the frequency distribution is 160, then the value of $c \in N$ is Includes table
Mathematics · Statistics · MCQ
Q44.Let $B = [1135]$ and $A$ be a $2 \times 2$ matrix such that $A B^{- 1} = A^{- 1}$ . If $B C B^{- 1} = A$ and $C^{4} + α C^{2} + β I = O$ , then $2 β - α$ is equal to
Mathematics · Matrices and Determinants · MCQ
Q45. $lim_{x \to 0} \frac{e - ( 1 + 2 x ) ^{\frac{1}{2 x}}}{x}$ is equal to
Mathematics · Limits Continuity and Differentiability · MCQ
Q46.Consider the line $L$ passing through the points $(1, 2, 3)$ and $(2, 3, 5)$ . The distance of the point $(\frac{11}{3}, \frac{11}{3}, \frac{19}{3})$ from the line $L$ along the line $\frac{3 x - 11}{2} = \frac{3 y - 11}{1} = \frac{3 z - 19}{2}$ …
Mathematics · 3D Geometry · MCQ
Q47.The area (in square units) of the region enclosed by the ellipse $x^{2} + 3 y^{2} = 18$ in the first quadrant below the line $y = x$ is
Mathematics · Area Under the Curves · MCQ
Q48.Let $a, a r, a r^{2}$ , ............ be an infinite G.P. If $\sum_{n = 0}^{\infty} a r^{n} = 57$ and $\sum_{n = 0}^{\infty} a^{3} r^{3 n} = 9747$ , then $a + 18 r$ is equal to
Mathematics · Sequences and Series · MCQ
Q49.The sum of the coefficient of $x^{2/3}$ and $x^{- 2/5}$ in the binomial expansion of $(x^{2/3} + \frac{1}{2} x^{- 2/5})^{9}$ is
Mathematics · Binomial Theorem · MCQ
Q50.Let $a = 2 \hat{i} + α \hat{j} + \hat{k}, b = - \hat{i} + \hat{k}, c = β \hat{j} - \hat{k}$ , where $α$ and $β$ are integers and $α β = - 6$ . Let the values of the ordered pair $(α, β)$ , for which the…
Mathematics · Vector Algebra · MCQ
Q51.Let $A = {(x, y) : 2 x + 3 y = 23, x, y \in N}$ and $B = {x : (x, y) \in A}$ . Then the number of one-one functions from $A$ to $B$ is equal to .
Mathematics · Functions · Numerical
Q52.Let $A, B$ and $C$ be three points on the parabola $y^{2} = 6 x$ and let the line segment $A B$ meet the line $L$ through $C$ parallel to the $x$ -axis at the point $D$ . Let $M$ and $N$ respectively be the feet of the perpendiculars from $A$ …
Mathematics · Parabola · Numerical
Q53.Consider the matrices : $A = [23 - 5 m], B = [20 m]$ and $X = [x y]$ . Let the set of all $m$ , for which…
Mathematics · Matrices and Determinants · Numerical
Q54.For a differentiable function $f : R \to R$ , suppose $f^{'} (x) = 3 f (x) + α$ , where $α \in R, f (0) = 1$ and $lim_{x \to - \infty} f (x) = 7$ . Then $9 f (- lo g_{e} 3)$ is equal…
Mathematics · Differential Equations · Numerical
Q55.Consider the circle $C : x^{2} + y^{2} = 4$ and the parabola $P : y^{2} = 8 x$ . If the set of all values of $α$ , for which three chords of the circle $C$ on three distinct lines passing through the point $(α, 0)$ are bisected by the parabola $P$ …
Mathematics · Parabola · Numerical
Q56.The square of the distance of the image of the point $(6, 1, 5)$ in the line $\frac{x - 1}{3} = \frac{y}{2} = \frac{z - 2}{4}$ , from the origin is .
Mathematics · 3D Geometry · Numerical
Q57.Let the set of all values of $p$ , for which $f (x) = (p^{2} - 6 p + 8) (sin^{2} 2 x - cos^{2} 2 x) + 2 (2 - p) x + 7$ does not have any critical point, be the interval $(a, b)$ . Then $16 ab$ is equal to .
Mathematics · Application of Derivatives · Numerical
Q58.The number of integers, between 100 and 1000 having the sum of their digits equals to 14 , is .
Mathematics · Permutations and Combinations · Numerical
Q59.Let the inverse trigonometric functions take principal values. The number of real solutions of the equation $2 sin^{- 1} x + 3 cos^{- 1} x = \frac{2 π}{5}$ , is .
Mathematics · Inverse Trigonometric Functions · Numerical
Q60.If $(\frac{1}{α + 1} + \frac{1}{α + 2} + \dots .. + \frac{1}{α + 1012}) - (\frac{1}{2 \cdot 1} + \frac{1}{4 \cdot 3} + \frac{1}{6 \cdot 5} + \dots\dots + \frac{1}{2024 \cdot 2023}) = \frac{1}{2024}$ , then $α$ is…
Mathematics · Sequences and Series · Numerical
Q61.The effective resistance between $A$ and $B$ , if resistance of each resistor is $R$ , will be : Includes diagram
Physics · Current Electricity · MCQ
Q62.In the truth table of the above circuit the value of X and Y are : Includes diagram
Physics · Electronic Devices · MCQ
Q63.Two cars are travelling towards each other at speed of $20 m s^{- 1}$ each. When the cars are $300 m$ apart, both the drivers apply brakes and the cars retard at the rate of $2 m s^{- 2}$ .…
Physics · Motion in A Straight Line · MCQ
Q64.A nucleus at rest disintegrates into two smaller nuclei with their masses in the ratio of $2 : 1$ . After disintegration they will move :
Physics · Atoms and Nuclei · MCQ
Q65.A satellite of $1 0^{3} kg$ mass is revolving in circular orbit of radius $2 R$ . If $\frac{1 0 ^{4} R}{6} J$ energy is supplied to the satellite, it would revolve in a new circular orbit of radius (use $g = 10 m / s^{2}, R =$ …
Physics · Gravitation · MCQ
Q66.The magnetic field in a plane electromagnetic wave is $B_{y} = (3.5 \times 1 0^{- 7}) sin (1.5 \times 1 0^{3} x + 0.5 \times 1 0^{11} t) T$ . The corresponding electric field will be :
Physics · Electromagnetic Waves · MCQ
Q67.A real gas within a closed chamber at $2 7^{\circ} C$ undergoes the cyclic process as shown in figure. The gas obeys $P V^{3} = R T$ equation for the path $A$ to $B$ . The net work done in the complete cycle is (assuming $R = 8 J / mol K$ … Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q68.Five charges $+ q, + 5 q, - 2 q, + 3 q$ and $- 4 q$ are situated as shown in the figure. The electric flux due to this configuration through the surface $S$ is : Includes diagram
Physics · Electrostatics · MCQ
Q69.UV light of $4.13 eV$ is incident on a photosensitive metal surface having work function $3.13 eV$ . The maximum kinetic energy of ejected photoelectrons will be:
Physics · Dual Nature of Radiation · MCQ
Q70.The $I$ - $V$ characteristics of an electronic device shown in the figure. The device is : Includes diagram
Physics · Electronic Devices · MCQ
Q71.The energy released in the fusion of $2 kg$ of hydrogen deep in the sun is $E_{H}$ and the energy released in the fission of $2 kg$ of $^{235} U$ is $E_{U}$ . The ratio $\frac{E _{H}}{E _{U}}$ is approximately:…
Physics · Atoms and Nuclei · MCQ
Q72.A hydrogen atom in ground state is given an energy of $10.2 eV$ . How many spectral lines will be emitted due to transition of electrons?
Physics · Atoms and Nuclei · MCQ
Q73.A proton and a deutron $(q = + e, m = 2.0 u)$ having same kinetic energies enter a region of uniform magnetic field $B$ , moving perpendicular to $B$ . The ratio of the radius $r_{d}$ of deutron path to the radius…
Physics · Magnetics · MCQ
Q74.The temperature of a gas is $- 7 8^{\circ} C$ and the average translational kinetic energy of its molecules is $K$ . The temperature at which the average translational kinetic energy of the molecules of the same gas becomes $2 K$ …
Physics · Heat and Thermodynamics · MCQ
Q75.The excess pressure inside a soap bubble is thrice the excess pressure inside a second soap bubble. The ratio between the volume of the first and the second bubble is:
Physics · Properties of Matter · MCQ
Q76.A spherical ball of radius $1 \times 1 0^{- 4} m$ and density $1 0^{5} kg / m^{3}$ falls freely under gravity through a distance $h$ before entering a tank of water, If after entering in water the velocity of the ball…
Physics · Properties of Matter · MCQ
Q77.The de-Broglie wavelength associated with a particle of mass $m$ and energy $E$ is $h / 2 m E$ . The dimensional formula for Planck's constant is :
Physics · Units and Measurements · MCQ
Q78.A square loop of side $15 cm$ being moved towards right at a constant speed of $2 cm / s$ as shown in figure. The front edge enters the $50 cm$ wide magnetic field at $t = 0$ . The value of induced emf in… Includes diagram
Physics · Electromagnetic Induction · MCQ
Q79.A $1 kg$ mass is suspended from the ceiling by a rope of length $4 m$ . A horizontal force ' $F$ ' is applied at the mid point of the rope so that the rope makes an angle of $4 5^{\circ}$ with respect to the vertical axis… Includes diagram
Physics · Laws of Motion · MCQ
Q80.The following figure represents two biconvex lenses $L_{1}$ and $L_{2}$ having focal length $10 cm$ and $15 cm$ respectively. The distance between $L_{1}$ & $L_{2}$ is : Includes diagram
Physics · Geometrical Optics · MCQ
Q81.The resultant of two vectors $A$ and $B$ is perpendicular to $A$ and its magnitude is half that of $B$ . The angle between vectors $A$ and $B$ is $^{\circ}$ .
Physics · Vector Algebra · Numerical
Q82.An electric field $E = (2 x \hat{i}) N C^{- 1}$ exists in space. A cube of side $2 m$ is placed in the space as per figure given below. The electric flux through the cube is $Nm^{2} / C$ … Includes diagram
Physics · Electrostatics · Numerical
Q83.To determine the resistance (R) of a wire, a circuit is designed below. The $V$ - $I$ characteristic curve for this circuit is plotted for the voltmeter and the ammeter readings as shown in figure. The value of $R$ is … Includes diagram
Physics · Current Electricity · Numerical
Q84.A circular disc reaches from top to bottom of an inclined plane of length $l$ . When it slips down the plane, if takes $t s$ . When it rolls down the plane then it takes $(\frac{α}{2})^{1/2} t s$ ,…
Physics · Rotational Motion · Numerical
Q85.A force $(3 x^{2} + 2 x - 5) N$ displaces a body from $x = 2 m$ to $x = 4 m$ . Work done by this force is J.
Physics · Work Power and Energy · Numerical
Q86.A particle of mass $0.50 kg$ executes simple harmonic motion under force $F = - 50 (Nm^{- 1}) x$ . The time period of oscillation is $\frac{x}{35} s$ . The value of $x$ is . (Given $π = \frac{22}{7}$ )
Physics · Simple Harmonic Motion · Numerical
Q87.At room temperature $(2 7^{\circ} C)$ , the resistance of a heating element is $50Ω$ . The temperature coefficient of the material is $2.4 \times 1 0^{- 4}^{\circ} C^{- 1}$ . The temperature of the element, when its…
Physics · Current Electricity · Numerical
Q88.A straight magnetic strip has a magnetic moment of $44 Am^{2}$ . If the strip is bent in a semicircular shape, its magnetic moment will be $Am^{2}$ . (given $π = \frac{22}{7}$ )
Physics · Magnetics · Numerical
Q89.Monochromatic light of wavelength $500 nm$ is used in Young's double slit experiment. An interference pattern is obtained on a screen. When one of the slits is covered with a very thin glass plate (refractive index $= 1.5$ ), the…
Physics · Wave Optics · Numerical
Q90.A capacitor of reactance $43 Ω$ and a resistor of resistance $4Ω$ are connected in series with an ac source of peak value $82 V$ . The power dissipation in the circuit is W.
Physics · Alternating Current · Numerical