JEE Main JEE Main 2023 Mixed — practice questions
69 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice JEE Main JEE Main 2023 Mixed in the app →A particle moves in a straight line with velocity v = 4t - t² m/s. The displacement of the particle in the timA block of mass 2 kg slides down a rough incline of 30°. Coefficient of kinetic friction is 0.2. Acceleration Two particles of mass m and 4m have same kinetic energy. Ratio of their de Broglie wavelengths:In Young's double slit experiment, if slit separation is halved and wavelength doubled, fringe width becomes:Charge Q is placed at center of a cube. Electric flux through one face:In LCR series circuit, at resonance, impedance equals:A capacitor of capacitance C is charged to voltage V then connected through a resistor R to an uncharged capacA wire of resistance R is bent into a circle. Resistance between two diametrically opposite points:A particle of mass m moves in circle of radius r with constant speed v. Magnitude of momentum change in half rTwo satellites of same mass orbit Earth at radii r and 2r. Ratio of their kinetic energies:Heat capacity of a body is 200 J/K. Heat required to raise its temperature from 20°C to 50°C:For a body in SHM with amplitude A, at displacement x, ratio of KE to total energy:Two coherent sources of intensity I and 4I interfere. Maximum intensity in resulting pattern:Bohr radius for hydrogen is 0.53 Å. Radius of 3rd orbit:Magnetic flux through a coil changes from 5 mWb to 1 mWb in 0.1 s. Induced EMF:Work done in stretching wire by 1 mm is W. Work to stretch it by 2 mm (same wire, within elastic limit):Photon of wavelength 200 nm strikes metal with work function 2 eV. KE of fastest photoelectron (hc = 1240 eV nA car travels 100 km at 50 km/h, then 100 km at 100 km/h. Average speed:At what temperature does kT equal 1 eV?Two resistors 3 Ω and 6 Ω in parallel. Equivalent resistance:Specific heat capacity of monatomic ideal gas at constant V:Pressure increases linearly with depth in incompressible fluid. Pressure at 10 m below water surface (ρ = 1000Electric field due to infinite plane sheet with surface charge density σ:Sound wave intensity I dB scale. 60 dB to 80 dB ratio of intensity:Number of moles of KMnO₄ required to oxidize 1 mole of Fe²⁺ in acidic solution:Electronic configuration of Cr³⁺ (Z = 24):Among Cu, Zn, Pt, Au, which is the noble metal MOST resistant to corrosion?pH of 10⁻⁸ M HCl solution (in water):In octahedral complex with d⁵ metal and strong field ligand, magnetic moment:Number of stereoisomers of 2-bromobutane:Which is the strongest oxidizer in halogens?Order of basicity: NH₃, PH₃, AsH₃, SbH₃:Number of σ and π bonds in CO₂:For first-order reaction with t₁/₂ = 10 min, k =Among NH₃, PH₃, H₂O, H₂S — most acidic:Color of [Cu(NH₃)₄]²⁺:Which gives positive iodoform test?For coordination compound [Co(NH₃)₅Cl]Br₂, total ions in solution:Number of moles of O₂ needed to completely oxidize 1 mole of C₂H₅OH to CO₂ and H₂O:Crystal field stabilization energy (CFSE) for [Co(NH₃)₆]³⁺ (Co³⁺ d⁶ low-spin):Standard enthalpy of formation of an element in its standard state:Bond order of N₂:Hybridization of P in PCl₅:What does Fehling's solution test detect?Value of ∫₀^(π/2) sin² x dx:Number of arrangements of letters in 'BANANA':For matrix A = [[1, 2], [3, 4]], det(A):lim_(x→0) (e^x - 1)/sin x =Number of ways to choose 4 students from class of 10 if 2 specific students must be included:Solution of differential equation dy/dx = y/x:Two cards drawn from a deck of 52 (without replacement). P(both aces):Number of solutions of sin x = 1/2 in [0, 2π]:For vectors a, b with |a| = |b| = 1 and a · b = 1/2, angle:Equation of circle with center (1, -2) and radius 3:Coefficient of x² in expansion of (1 + 2x)¹⁰:Number of integers between 1 and 100 (inclusive) divisible by 3 or 5:Slope of tangent to y = x² + 3x at point (1, 4):sec²(arctan(2)) =Argument of complex number 1 + i:Sum of first 10 terms of AP with a = 3, d = 2:For GP with first term 2 and common ratio 1/2, sum to infinity:Distance from point (1, 2, 3) to plane x + y + z - 6 = 0:Roots of equation x² - 5x + 6 = 0:sin(75°) =In a triangle ABC, if a = 2, b = 3, C = 60°, find c (using cosine rule):Find eigenvalues of [[3, 1], [1, 3]]:For y = cos x, y'' + y =If f(x) = x³ - 3x² + 2, find x where local maximum occurs:Integration: ∫ tan(x) dx =