JEE Main 2023 (Online) 10th April Morning Shift — Question Paper

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Physics

• Assuming the earth to be a sphere of uniform mass density, the weight of a body at a…
• The position-time graphs for two students A and B returning from the school to their…
• Two satellites of masses m and 3m revolve around the earth in circular orbits of radii r…
• A particle executes S.H.M. of amplitude A along x-axis. At t = 0, the position of the…
• A physical quantity P is given as P=a²b³/c√d<?p> The percentage error in the measurement…
• A zener diode of power rating 1.6 W is to be used as voltage regulator. If the zener…
• An object is placed at a distance of 12 cm in front of a plane mirror. The virtual and…
• The equivalent capacitance of the combination shown is :
• The current required to be passed through a solenoid of 15 cm length and 60 turns in…
• A particle of mass m moving with velocity v collides with a stationary particle of mass…
• Two wires each of radius 0.2 cm and negligible mass, one made of steel and the other…
• Three concentric spherical metallic shells X, Y and Z of radius a, b and c respectively…
• A 1 m long metal rod XY completes the circuit as shown in figure. The plane of the…
• Given below are two statements: Statement I : Maximum power is dissipated in a circuit…
• Given below are two statements: Statement I : If the number of turns in the coil of a…
• Given below are two statements: Statement I : Pressure in a reservoir of water is same…
• The equivalent resistance of the circuit shown below between points a and b is :
• The energy of an electromagnetic wave contained in a small volume oscillates with
• The range of the projectile projected at an angle of 15° with horizontal is 50 m. If the…
• The decay constant for a radioactive nuclide is 1.5 × 10⁻⁵ s⁻¹. Atomic weight of the…
• The de Broglie wavelength of a molecule in a gas at room temperature (300 K) is λ₁. If…
• A transverse harmonic wave on a string is given by y(x,t) = 5 sin (6t + 0.003x) where x…
• If the earth suddenly shrinks to 1/64th of its original volume with its mass remaining…
• Unpolarised light of intensity 32 Wm⁻² passes through the combination of three polaroids…
• The angular momentum for the electron in Bohr's orbit is L. If the electron is assumed…
• 10 resistors each of resistance 10 Ω can be connected in such as to get maximum and…
• Consider two containers A and B containing monoatomic gases at the same Pressure (P)…

Chemistry

• The number of incorrect statement/s about the black body from the following is…
• The octahedral diamagnetic low spin complex among the following is :
• The pair from the following pairs having both compounds with net non-zero dipole moment is
• Suitable reaction condition for preparation of Methyl phenyl ether is
• In potassium ferrocyanide, there are ________ pairs of electrons in the t_(2g) set of…
• A molecule undergoes two independent first order reactions whose respective half lives…
• Which of the following statements are correct? (A) The M³⁺/M²⁺ reduction potential for…
• The number of molecules and moles in 2.8375 litres of O₂ at STP are respectively
• The one that does not stabilize 2° and 3° structures of proteins is
• In the following reactions, the total number of oxygen atoms in X and Y is ___________…
• The number of bent-shaped molecule/s from the following is __________ N₃⁻, NO₂⁻, I₃⁻…
• The sum of lone pairs present on the central atom of the interhalogen IF₅ and IF₇ is…
• The enthalpy change for the adsorption process and micelle formation respectively are
• Given below are two reactions, involved in the commercial production of dihydrogen (H₂)…
• Which of the following is used as a stabilizer during the concentration of sulphide ores?
• Given (A) | 2CO(g)+O₂(g)→ 2CO₂(g) | Δ H₁⁰=-x kJ mol⁻¹; (B) | C(graphite)+O₂(g)→ CO₂(g) |…
• Given below are two statements: Statement I : Aqueous solution of K₂Cr₂O₇ is preferred…
• FeO₄²⁻→(+ 2.2V) Fe³⁺→(+ 0.70V) Fe²⁺→(- 0.45V) Fe⁰ E_(FeO₄²⁻/Fe²⁺)^θ is x × 10⁻³ V. The…
• Lime reacts exothermally with water to give 'A' which has low solubility in water…
• Match List I with List II List I Polymer | List II Type/Class; (A) | Nylon-2-Nylon-6 |…
• Using column chromatography, mixture of two compounds 'A' and 'B' was separated. 'A'…
• If the degree of dissociation of aqueous solution of weak monobasic acid is determined…
• The number of correct statement/s involving equilibria in physical processes from the…
• Isomeric amines with molecular formula C₈H₁₁N give the following tests Isomer (P) ⇒ Can…
• Prolonged heating is avoided during the preparation of ferrous ammonium sulphate to :
• The compound which does not exist is

Mathematics

• Some couples participated in a mixed doubles badminton tournament. If the number of…
• Let the complex number z = x + iy be such that (2z - 3i)/(2z + i) is purely imaginary…
• An arc PQ of a circle subtends a right angle at its centre O. The mid point of the arc…
• If the mean of the frequency distribution Class : | 0-10 | 10-20 | 20-30 | 30-40 |…
• Let the ellipse E:x² + 9y² = 9 intersect the positive x and y-axes at the points A and B…
• Let a common tangent to the curves y² = 4x and (x - 4)² + y² = 16 touch the curves at…
• If A is a 3 × 3 matrix and |A| = 2, then |3 adj (|3A|A²)| is equal to :
• Let P be the point of intersection of the line (x + 3)/3 = (y + 2)/1 = (1 - z)/2 and the…
• Let two vertices of a triangle ABC be (2, 4, 6) and (0, -2, -5), and its centroid be (2…
• The number of elements in the set { n ∈ Z:|n² - 10n + 19| < 6} is _________.
• Let f be a differentiable function such that x²f(x) - x = 4∫₀ˣ tf(t)dt, f(1) = 2/3. Then…
• The sum of all those terms, of the arithmetic progression 3, 8, 13, ...., 373, which are…
• Let N denote the sum of the numbers obtained when two dice are rolled. If the…
• If the coefficient of x⁷ in ( ax - 1/bx² )¹³ and the coefficient of x⁻⁵ in ( ax + 1/bx²…
• Let the first term α and the common ratio r of a geometric progression be positive…
• A square piece of tin of side 30 cm is to be made into a box without top by cutting a…
• Let y=p(x) be the parabola passing through the points (-1,0),(0,1) and (1,0). If the…
• Let O be the origin and the position vector of the point P be - î - 2ĵ + 3k̂. If the…
• Let f:( - 2,2) → R be defined by f(x) = { x[x],, - 2 < x < 0; (x - 1)[x],, 0 ≤ x ≤ 2…
• If f(x) = ((tan 1° )x + log ₑ(123))/(xlog ₑ(1234) - (tan 1° )),x > 0, then the least…
• For the system of linear equations 2x - y + 3z = 5 3x + 2y - z = 7 4x + 5y + α z = β…
• The coefficient of x⁷ in (1 - x + 2x³)¹⁰ is ___________.
• The shortest distance between the lines (x + 2)/1 = y/(- 2) = (z - 5)/2 and (x - 4)/1 =…
• 96 cos π/33 cos 2π/33 cos 4π/33 cos 8π/33 cos 16π/33 is equal to :
• If I(x)=∫ e^(sin²x)(cos x sin 2x-sin x)dx and I(0)=1, then I(π/3) is equal to :
• The number of permutations, of the digits 1, 2, 3, ..., 7 without repetition, which…
• The slope of tangent at any point (x, y) on a curve y=y(x) is (x² + y²)/2xy,x > 0. If…

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