JEE Main 2022 (Online) 28th July Evening Shift — Question Paper

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Physics

• An n.p.n transistor with current gain β=100 in common emitter configuration is shown in…
• A ball is thrown vertically upwards with a velocity of 19.6 ms⁻¹ from the top of a…
• An electrical bulb rated 220 V, 100 W, is connected in series with another bulb rated…
• A vessel contains 14 g of nitrogen gas at a temperature of 27° C. The amount of heat to…
• Two streams of photons, possessing energies equal to five and ten times the work…
• A uniform metal chain of mass m and length 'L' passes over a massless and frictionless…
• An object 'O' is placed at a distance of 100 cm in front of a concave mirror of radius…
• Given below are two statements : Statement I : A uniform wire of resistance 80 Ω is cut…
• For the given circuit the current through battery of 6 V just after closing the switch…
• Sun light falls normally on a surface of area 36 cm² and exerts an average force of 7.2…
• At time t=0 a particle starts travelling from a height 7 z cm in a plane keeping z…
• A radioactive sample decays 7/8 times its original quantity in 15 minutes. The half-life…
• Consider a cylindrical tank of radius 1 m is filled with water. The top surface of water…
• Consider the efficiency of carnot's engine is given by η=αβ/(sin θ)logₑ(β x)/kT, where α…
• In an experiment with a convex lens, The plot of the image distance (v′) against the…
• A slab of dielectric constant K has the same cross-sectional area as the plates of a…
• A triangular shaped wire carrying 10 A current is placed in a uniform magnetic field of…
• Assume there are two identical simple pendulum clocks. Clock - 1 is placed on the earth…
• A uniform electric field E=(8 m / e) V / m is created between two parallel plates of…
• The power of a lens (biconvex) is 1.25 m⁻¹ in particular medium. Refractive index of the…
• The potential energy of a particle of mass 4 kg in motion along the x-axis is given by…
• A string of area of cross-section 4 mm² and length 0.5 m is connected with a rigid body…
• A bullet of mass 200 g having initial kinetic energy 90 J is shot inside a long swimming…
• The magnetic field at the center of current carrying circular loop is B₁. The magnetic…
• A pressure-pump has a horizontal tube of cross sectional area 10 cm² for the outflow of…
• In an experiment to find acceleration due to gravity (g) using simple pendulum, time…
• At a certain temperature, the degrees of freedom per molecule for gas is 8. The gas…
• A transformer operating at primary voltage 8 kV and secondary voltage 160 V serves a…
• The distance of centre of mass from end A of a one dimensional rod (AB) having mass…

Chemistry

• 2L of 0.2M H₂SO₄ is reacted with 2L of 0.1M NaOH solution, the molarity of the resulting…
• Concentrated HNO₃ reacts with Iodine to give :
• Given below are two statements: one is labelled as Assertion A and the other is labelled…
• Among the following the number of curves not in accordance with Freundlich adsorption…
• Statement I : An alloy of lithium and magnesium is used to make aircraft plates…
• Match List I with List II List - I (Complex) | List - II (Hybridization); (A) | Ni(CO)₄…
• The products obtained during treatment of hard water using Clark's method are :
• Compound I is heated with Conc. HI to give a hydroxy compound A which is further heated…
• Given below are two statements : One is labelled as Assertion A and the other is…
• A gaseous mixture of two substances A and B, under a total pressure of 0.8 atm is in…
• If the wavelength for an electron emitted from H-atom is 3.3 × 10⁻¹⁰ m, then energy…
• For a reaction, given below is the graph of ln k vs 1/T. The activation energy for the…
• Two statements in respect of drug-enzyme interaction are given below Statement I…
• Among the following the number of state variables is ______________. Internal energy (U)…
• Arrange the following in increasing order of reactivity towards nitration A. p-xylene B…
• Given below are two statements: One is labelled as Assertion A and the other is labelled…
• A sample of 0.125 g of an organic compound when analyzed by Duma's method yields 22.78…
• Metal M crystallizes into a fcc lattice with the edge length of 4.0 × 10⁻⁸ cm. The…
• On reaction with stronger oxidizing agent like KIO₄, hydrogen peroxide oxidizes with the…
• At 600 K,2 mol of NO are mixed with 1 mol of O₂. 2NO_((g))+O₂(g)⇄ 2NO₂(g) The reaction…
• Dinitrogen and dioxygen, the main constituents of air do not react with each other in…
• The correct decreasing order for metallic character is :
• Given below are two statements: One is labelled as Assertion A and the other is labelled…
• Given below are two statements: One is labelled as Assertion A and the other is labelled…
• White phosphorus reacts with thionyl chloride to give :

Mathematics

• Let Iₙ(x)=∫₀ˣ 1/(t²+5)ⁿ d t, n=1,2,3, … . Then :
• Let the tangents at the points P and Q on the ellipse x²/2+y²/4=1 meet at the point…
• The value of the integral ∫₀^(π/2) 60 (sin (6 x))/(sin x) d x is equal to _________.
• Two tangent lines l₁ and l₂ are drawn from the point (2,0) to the parabola 2 y²=-x. If…
• Let S=[-π, π/2)-{-π/2,-π/4,-(3 π)/4, π/4}. Then the number of elements in the set | A={θ…
• Let the tangents at two points A and B on the circle x²+y²-4 x+3=0 meet at origin…
• Let y=y(x) be the solution curve of the differential equation (d y)/(d x)+1/(x²-1)…
• Let A and B be two events such that P(B | A)=2/5, P(A | B)=1/7 and P(A ∩ B)=1/9 ·…
• Let z=a+i b, b ≠ 0 be complex numbers satisfying z²=z̄ · 2^(1-|z|). Then the least value…
• Let S={x ∈[-6,3]-{-2,2}: (|x+3|-1)/(|x|-2) ≥ 0} and T={x ∈ ℤ: x²-7|x|+9 ≤ 0} . Then the…
• Let the coefficients of the middle terms in the expansion of (1/√6+β x)⁴,(1-3 β x)² and…
• Let S be the set of all a ∈ R for which the angle between the vectors u⃗=a(log ₑ b) î-6…
• Let A and B be any two 3 × 3 symmetric and skew symmetric matrices respectively. Then…
• The sum of the absolute maximum and absolute minimum values of the function f(x)=tan…
• Let f(x)=a x²+b x+c be such that f(1)=3, f(-2)=λ and f(3)=4. If f(0)+f(1)+f(-2)+f(3)=14…
• The area enclosed by the curves y=logₑ(x+e²),x=logₑ(2/y) and x=logₑ 2, above the line…
• The function f: ℝ → ℝ defined by f(x)=lim(n → ∞) (cos (2 π x)-x²ⁿ sin…
• Let x(t)=2 √2 cos t √(sin 2 t) and y(t)=2 √2 sin t √(sin 2 t), t ∈(0, π/2). Then (1+((d…
• A bag contains 4 white and 6 black balls. Three balls are drawn at random from the bag…
• A class contains b boys and g girls. If the number of ways of selecting 3 boys and 2…
• The differential equation of the family of circles passing through the points (0,2) and…
• Let the lines (x-1)/λ=(y-2)/1=(z-3)/2 and (x+26)/-2=(y+18)/3=(z+28)/λ be coplanar and P…
• The function f(x)=x eˣ⁽¹⁻ˣ⁾, x ∈ ℝ, is :
• Let the hyperbola H: x²/a²-y²/b²=1 pass through the point (2 √2,-2 √2). A parabola is…
• 6/3¹² + 10/3¹¹ + 20/3¹⁰ + 40/3⁹ + ... + 10240/3 = 2ⁿ . m, where m is odd, then m . n is…
• Let α, β be the roots of the equation x²-√2 x+√6=0 and 1/α²+1, 1/β²+1 be the roots of…
• A plane P is parallel to two lines whose direction ratios are -2,1,-3 and -1,2,-2 and it…
• If 1 + (2 + ⁴⁹C₁ + ⁴⁹C₂ + ... + ⁴⁹C₄₉)(⁵⁰C₂ + ⁵⁰C₄ + ... + ⁵⁰C₅₀) is equal to 2ⁿ · m…

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