JEE Main 2024 (Online) 27th January Evening Shift — Question Paper

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Physics

• The threshold frequency of a metal with work function 6.63 eV is :
• Three voltmeters, all having different internal resistances are joined as shown in…
• Primary side of a transformer is connected to 230 V, 50 Hz supply. Turns ratio of…
• A bullet is fired into a fixed target looses one third of its velocity after travelling…
• During an adiabatic process, the pressure of a gas is found to be proportional to the…
• A body falling under gravity covers two points A and B separated by 80 m in 2 s. The…
• When a polaroid sheet is rotated between two crossed polaroids then the transmitted…
• Given below are two statements : one is labelled as Assertion (A) and the other is…
• Given below are two statements : one is labelled as Assertion (A) and the other is…
• A ball suspended by a thread swings in a vertical plane so that its magnitude of…
• Given below are two statements : Statement (I) : The limiting force of static friction…
• The truth table of the given circuit diagram is :
• Wheatstone bridge principle is used to measure the specific resistance (S₁) of given…
• If Rydberg's constant is R, the longest wavelength of radiation in Paschen series will…
• Two charges of -4 μ C and +4 μ C are placed at the points A(1,0,4) m and B(2,-1,5) m…
• A ring and a solid sphere roll down the same inclined plane without slipping. They start…
• Given below are two statements : one is labelled as Assertion (A) and the other is…
• The equation of state of a real gas is given by (P+a/V²)(V-b)=RT, where P, V and T are…
• A closed organ pipe 150 cm long gives 7 beats per second with an open organ pipe of…
• The total kinetic energy of 1 mole of oxygen at 27° C is : [Use universal gas constant…
• A current of 200 μ A deflects the coil of a moving coil galvanometer through 60°. The…
• The magnetic field at the centre of a wire loop formed by two semicircular wires of…
• Given below are two statements : one is labelled as Assertion (A) and the other is…
• An object is placed in a medium of refractive index 3 . An electromagnetic wave of…
• The reading of pressure metre attached with a closed pipe is 4.5 × 10⁴ N / m². On…
• A series LCR circuit with L=100/π mH, C=10⁻³/π F and R=10 Ω, is connected across an ac…
• The electric potential at the surface of an atomic nucleus (z=50) of radius 9 × 10⁻¹³ cm…
• A parallel beam of monochromatic light of wavelength 5000 Aᵒ is incident normally on a…
• The atomic mass of ₆ C¹² is 12.000000 u and that of ₆ C¹³ is 13.003354 u. The required…

Chemistry

• The hydrogen electrode is dipped in a solution of pH=3 at 25° C. The potential of the…
• Given below are two statements : Statement (I) : In the Lanthanoids, the formation Ce⁺⁴…
• Total number of compounds with Chiral carbon atoms from following is _________.
• 9.3 g of aniline is subjected to reaction with excess of acetic anhydride to prepare…
• The order of relative stability of the contributing structure is : Choose the correct…
• 1 mole of PbS is oxidised by "X" moles of O₃ to get "Y" moles of O₂. X+Y= _________.
• Which of the following statements is not correct about rusting of iron?
• The technique used for purification of steam volatile water immiscible substances is :
• Given below are two statements : Statement (I) : Oxygen being the first member of group…
• The molecular formula of second homologue in the homologous series of mono carboxylic…
• Bond line formula of HOCH(CN)₂ is :
• Identify from the following species in which d² sp³ hybridization is shown by central…
• Phenolic group can be identified by a positive:
• Choose the correct option having all the elements with d¹⁰ electronic configuration from…
• Which among the following halide/s will not show S_N 1 reaction: (A) H₂ C=CH-CH₂ Cl (B)…
• For a certain thermochemical reaction M → N at T=400 K, Δ H⊖=77.2 kJ mol⁻¹, Δ S=122…
• Volume of 3 M NaOH (formula weight 40 g mol⁻¹ ) which can be prepared from 84 g of NaOH…
• Which of the following cannot function as an oxidising agent?
• The quantity which changes with temperature is :
• Total number of ions from the following with noble gas configuration is _________…
• Which structure of protein remains intact after coagulation of egg white on boiling?
• Time required for completion of 99.9 % of a First order reaction is ________ times of…
• The Spin only magnetic moment value of square planar complex [Pt(NH₃)₂ Cl(NH₂ CH₃)] Cl…
• The number of non-polar molecules from the following is _________. HF, H₂ O, SO₂, H₂…
• The incorrect statement regarding conformations of ethane is :
• Identity the incorrect pair from the following :

Mathematics

• If the sum of squares of all real values of α, for which the lines 2x-y+3=0,6x+3y+1=0…
• If the area of the region {(x,y):0≤ y≤ min{2x,6x-x²}} is A, then 12 A is equal to…
• Consider a circle (x-α)²+(y-β)²=50, where α, β>0. If the circle touches the line y+x=0…
• The coefficient of x²⁰¹² in the expansion of (1-x)²⁰⁰⁸(1+x+x²)²⁰⁰⁷ is equal to _________.
• For 0 < a < 1, the value of the integral ∫0^π (d x)/(1-2 a cos x+a²) is :
• Let α=((4 !) !)/(4 !)^(3 !) and β=((5 !) !)/(5 !)^(4 !). Then :
• The 20ᵗʰ term from the end of the progression 20,19 1/4, 18 1/2, 17 3/4, …,-129 1/4 is :
• If 2 tan ² θ-5 sec θ=1 has exactly 7 solutions in the interval [0, (n π)/2], for the…
• Consider the function f:(0,2) → R defined by f(x)=x/2+2/x and the function g(x) defined…
• Let A be a 2 × 2 real matrix and I be the identity matrix of order 2. If the roots of…
• The position vectors of the vertices A, B and C of a triangle are 2 î-3 ĵ+3 k̂, 2 î+2…
• The values of α, for which |1, 3/2, α+3/2; 1, 1/3, α+1/3; 2 α+3, 3 α+1, 0|=0, lie in the…
• Let the position vectors of the vertices A, B and C of a triangle be 2 î+2 ĵ+k̂, î+2 ĵ+2…
• If lim x → 0 (3+α sin x+β cos x+log ₑ(1-x))/(3 tan ² x)=1/3 , then 2 α-β is equal to :
• Let the complex numbers α and 1/ᾱ lie on the circles |z-z₀|²=4 and |z-z₀|²=16…
• The integral∫ (x⁸-x²)dx/(x¹²+3x⁶+1)tan⁻¹(x³+1/x³) is equal to:
• Let R be the interior region between the lines 3x-y+1=0 and x+2y-5=0 containing the…
• The lines (x-2)/2=y/-2=(z-7)/16 and (x+3)/4=(y+2)/3=(z+2)/1 intersect at the point P. If…
• Considering only the principal values of inverse trigonometric functions, the number of…
• An urn contains 6 white and 9 black balls. Two successive draws of 4 balls are made…
• Let f(x)=∫0ˣ g(t) log ₑ((1-t)/(1+t)) dt, where g is a continuous odd function. If ∫_(-π…
• If α, β are the roots of the equation, x²-x-1=0 and Sₙ=2023 αⁿ+2024 βⁿ, then :
• If y=y(x) is the solution curve of the differential equation (x²-4) d y-(y²-3 y) d x=0…
• The mean and standard deviation of 15 observations were found to be 12 and 3…
• Let f: R-{-1/2} → R and g: R-{-5/2} → R be defined as f(x)=(2 x+3)/(2 x+1) and…
• If the solution curve, of the differential equation (d y)/(d x)=(x+y-2)/(x-y) passing…
• Let g(x)=3 f(x/3)+f(3-x) and f^(′ ′)(x)>0 for all x ∈(0,3). If g is decreasing in (0, α)…
• Let e₁ be the eccentricity of the hyperbola x²/16-y²/9=1 and e₂ be the eccentricity of…
• Let A and B be two finite sets with m and n elements respectively. The total number of…
• Let the image of the point (1,0,7) in the line x/1=(y-1)/2=(z-2)/3 be the point (α, β…

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