JEE Main 2024 (Online) 9th April Morning Shift — Question Paper

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Physics

• The energy equivalent of 1 g of substance is :
• The current flowing through the 1 Ω resistor is n/10 A. The value of n is _______.
• An astronaut takes a ball of mass m from earth to space. He throws the ball into a…
• The position, velocity and acceleration of a particle executing simple harmonic motion…
• In a Young's double slit experiment, the intensity at a point is (1/4)ᵗʰ of the maximum…
• A heavy iron bar, of weight W is having its one end on the ground and the other on the…
• A particle of mass m moves on a straight line with its velocity increasing with distance…
• A particle moving in a straight line covers half the distance with speed 6 m / s. The…
• A square loop of edge length 2 m carrying current of 2 A is placed with its edges…
• A proton, an electron and an alpha particle have the same energies. Their de-Broglie…
• A light unstretchable string passing over a smooth light pulley connects two blocks of…
• A star has 100 % helium composition. It starts to convert three ⁴ He into one ¹² C via…
• A galvanometer has a coil of resistance 200 Ω with a full scale deflection at 20 μ A…
• Given below are two statements : Statement (I) : When an object is placed at the centre…
• A sample of 1 mole gas at temperature T is adiabatically expanded to double its volume…
• A light emitting diode (LED) is fabricated using GaAs semiconducting material whose band…
• Two persons pull a wire towards themselves. Each person exerts a force of 200 N on the…
• The equivalent resistance between A and B is :
• When a coil is connected across a 20 V dc supply, it draws a current of 5 A. When it is…
• If a⃗ and b⃗ makes an angle cos⁻¹(5/9) with each other, then |a⃗+b⃗|=√2|a⃗-b⃗| for…
• The volume of an ideal gas (γ=1.5) is changed adiabatically from 5 litres to 4 litres…
• One main scale division of a vernier caliper is equal to m units. If nᵗʰ division of…
• A capacitor is made of a flat plate of area A and a second plate having a stair-like…
• A string is wrapped around the rim of a wheel of moment of inertia 0.40 kgm² and radius…
• A sphere of relative density σ and diameter D has concentric cavity of diameter d. The…
• At the centre of a half ring of radius R=10 cm and linear charge density 4 nC m⁻¹, the…
• A plane EM wave is propagating along x direction. It has a wavelength of 4 mm. If…
• A bulb and a capacitor are connected in series across an ac supply. A dielectric is then…
• Given below are two statements : Statement (I) : When currents vary with time, Newton's…
• The dimensional formula of latent heat is :

Chemistry

• The electronic configuration of Cu(II) is 3 d⁹ whereas that of Cu(I) is 3 d¹⁰. Which of…
• Given below are two statements : Statement (I) : The oxidation state of an element in a…
• Given below are two statements : Statement I : The rate law for the reaction A+B → C is…
• Given below are two statements : one is labelled as Assertion (A) and the other is…
• Total number of essential amino acid among the given list of amino acids is ________…
• Correct order of basic strength of Pyrrole , Pyridine and Piperidine is :
• Number of ambidentate ligands among the following is _________. NO₂⁻, SCN⁻, C₂ O₄²⁻…
• For the given compounds, the correct order of increasing pKₐ value : Choose the correct…
• Compare the energies of following sets of quantum numbers for multielectron system. (A)…
• In which one of the following pairs the central atoms exhibit sp² hybridization ?
• Relative stability of the contributing structures is :
• 0.05 M CuSO₄ when treated with 0.01 M K₂ Cr₂ O₇ gives green colour solution of Cu₂ Cr₂…
• On reaction of Lead Sulphide with dilute nitric acid which of the following is not formed?
• The standard reduction potentials at 298 K for the following half cells are given below…
• The molar conductivity for electrolytes A and B are plotted against C^(3 / 2) as shown…
• The F⁻ ions make the enamel on teeth much harder by converting hydroxyapatite (the…
• The total number of species from the following in which one unpaired electron is…
• Identify the incorrect statements regarding primary standard of titrimetric analysis…
• The heat of solution of anhydrous CuSO₄ and CuSO₄ · 5 H₂ O are -70 kJ mol⁻¹ and +12 kJ…
• Given below are two statements : one is labelled as Assertion (A) and the other is…
• Molarity (M) of an aqueous solution containing x g of anhyd. CuSO₄ in 500 mL solution at…
• When equal volume of 1 M HCl and 1 M H₂ SO₄ are separately neutralised by excess volume…
• Methods used for purification of organic compounds are based on :
• Number of colourless lanthanoid ions among the following is __________. Eu³⁺, Lu³⁺…
• Given below are two statements : one is labelled as Assertion (A) and the other is…

Mathematics

• Let three vectors ,a⃗=α î+4 ĵ+2 k̂, b⃗=5 î+3 ĵ+4 k̂, c⃗=x î+y ĵ+z k̂ form a triangle…
• If the sum of the series 1/(1 ·(1+d))+1/(1+d)(1+2 d)+…+1/(1+9 d)(1+10 d) is equal to 5…
• Let f(x)=a x³+b x²+c x+41 be such that f(1)=40, f′(1)=2 and f^(′ ′)(1)=4. Then a²+b²+c²…
• The parabola y²=4x divides the area of the circle x²+y²=5 in two parts. The area of the…
• If a function f satisfies f( m+n)=f( m)+f(n) for all m, n ∈ N and f(1)=1, then the…
• A ray of light coming from the point P(1,2) gets reflected from the point Q on the…
• Let α, β be the roots of the equation x²+2 √2 x-1=0. The quadratic equation, whose roots…
• The coefficient of x⁷⁰ in x²(1+x)⁹⁸+x³(1+x)⁹⁷+x⁴(1+x)⁹⁶+…+x⁵⁴(1+x)⁴⁶ is ⁹⁹ Cₚ- ⁴⁶ C_q…
• The sum of the square of the modulus of the elements in the set {z=a+ib: a, b ∈ Z, z ∈…
• Let ∫ (2-tan x)/(3+tan x) dx=1/2(α x+logₑ|β sin x+γ cos x|)+C, where C is the constant…
• Let |cos θ cos (60-θ) cos (60+θ)| ≤ 1/8, θ ε[0,2 π]. Then, the sum of all θ ∈[0,2 π]…
• Let the line L intersect the lines x-2=-y=z-1,2(x+1)=2(y-1)=z+1 and be parallel to the…
• Let f:(0, π) → R be a function given by f(x)={(8/7)^((tan 8 x)/(tan 7 x)),, 0< x<π/2…
• The solution curve, of the differential equation 2 y (d y)/(d x)+3=5 (d y)/(d x)…
• The solution of the differential equation (x²+y²) d x-5 x y d y=0, y(1)=0, is :
• If the domain of the function f(x)=sin ⁻¹((x-1)/(2 x+3)) is R-(α, β), then 12 α β is…
• The remainder when 428²⁰²⁴ is divided by 21 is __________.
• Let A be a non-singular matrix of order 3. If det(3 adj(2 adj((det A) A)))=3⁻¹³ · 2⁻¹⁰…
• Let f(x)=x²+9, g(x)=x/(x-9) and a=f ° g(10), b=g ° f(3). If e and l denote the…
• The shortest distance between the lines (x-3)/4=(y+7)/-11=(z-1)/5 and…
• Let a, b and c denote the outcome of three independent rolls of a fair tetrahedral die…
• Let the set of all positive values of λ, for which the point of local minimum of the…
• Let the centre of a circle, passing through the points (0,0),(1,0) and touching the…
• Let a circle passing through (2,0) have its centre at the point (h, k). Let (x_c, y_c)…
• The frequency distribution of the age of students in a class of 40 students is given…
• A variable line L passes through the point (3,5) and intersects the positive coordinate…
• Let λ, μ ∈ R. If the system of equations 3 x+5 y+λ z=3 ; 7 x+11 y-9 z=2 ; 97 x+155 y-189…
• Let A={2,3,6,7} and B={4,5,6,8}. Let R be a relation defined on A × B by (a₁, b₁) R(a₂…
• Let O A⃗=2 a⃗, O B⃗=6 a⃗+5 b⃗ and O C⃗=3 b⃗, where O is the origin. If the area of the…
• Let lim n → ∞(n/√(n⁴+1)-(2 n)/((n²+1) √(n⁴+1))+n/√(n⁴+16)-(8 n)/((n²+4) √(n⁴+16))…

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