JEE Main 2021 (Online) 27th August Evening Shift

The major product of the following reaction, if it occurs by SN2 mechanism is :

Given below are two statements :Statement I : Ethyl pent-4-yn-oate on reaction with CH3MgBr gives a 3\(^\circ\)-alcohol.Statement II : In this reaction one mole of ethyl pent-4-yn-oate utilizes two moles of CH3MgBr.In the light of the above...

Which one of the following reactions will not yield propionic acid?

The compound/s which will show significant intermolecular H-bonding is/are :

Hydrolysis of sucrose gives :

The number of species having non-pyramidal shape among the following is ___________.(A) SO3(B) NO\(_3^ -\)(C) PCl3(D) CO\(_3^{2 - }\)

When 5.1 g of solid NH4HS is introduced into a two litre evacuated flask at 27\(^\circ\)C, 20% of the solid decomposes into gaseous ammonia and hydrogen sulphide. The Kp for the reaction at 27\(^\circ\)C is x \(\times\) 10\(-\)2. The value ...

The first order rate constant for the decomposition of CaCO3 at 700 K is 6.36 \(\times\) 10\(-\)3s\(-\)1 and activation energy is 209 kJ mol\(-\)1. Its rate constant (in s\(-\)1) at 600 K is x \(\times\) 10\(-\)6. The value of x is ________...

Which one of the following chemicals is responsible for the production of HCl in the stomach leading to irritation and pain?

Which one of the following is the major product of the given reaction?

The correct structures of A and B formed in the following reactions are :

The number of optical isomers possible for [Cr(C2O4)3]3\(-\) is ____________.

The addition of dilute NaOH to Cr3+ salt solution will give :

Potassium permanganate on heating at 513 K gives a product which is :

The resistance of a conductivity cell with cell constant 1.14 cm\(-\)1, containing 0.001 M KCl at 298 K is 1500 \(\Omega\). The molar conductivity of 0.001 M KCl solution at 298 K in S cm2 mol\(-\)1 is ____________. (Integer answer)

In stratosphere most of the ozone formation is assisted by :

Which one of the following is used to remove most of plutonium from spent nuclear fuel?

The major product (A) formed in the reaction given below is :

The oxide that gives H2O2 most readily on treatment with H2O is :

Match List-I with List-II :



List - I(Name of ore/mineral)

List - II(Chemical formula)




(a)
Calmine
(i)
\(Zns\)


(b)
Malachite
(ii)
\(FeC{O_3}\)


(c)
Siderite
...

Which one of the following is formed (mainly) when red phosphorus is heated in a sealed tube at 803 K?

The correct order of ionic radii for the ions, P3\(-\), S2\(-\), Ca2+, K+, Cl\(-\) is :

Which one of the following tests used for the identification of functional groups in organic compounds does not use copper reagent?

Choose the correct statement from the following :

40 g of glucose (Molar mass = 180) is mixed with 200 mL of water. The freezing point of solution is __________ K. (Nearest integer) [Given : Kf = 1.86 K kg mol\(-\)1; Density of water = 1.00 g cm\(-\)3; Freezing point of water = 273.15 K]

100 g of propane is completely reacted with 1000 g of oxygen. The mole fraction of carbon dioxide in the resulting mixture is x \(\times\) 10\(-\)2. The value of x is ____________. (Nearest integer)[Atomic weight : H = 1.008; C = 12.00; O =...

The number of photons emitted by a monochromatic (single frequency) infrared range finder of power 1 mW and wavelength of 1000 nm, in 0.1 second is x \(\times\) 1013. The value of x is _____________. (Nearest integer)(h = 6.63 \(\times\) 10...

Lyophilic sols are more stable than lyophobic sols because :

Two flasks I and II shown below are connected by a valve of negligible volume.When the valve is opened, the final pressure of the system in bar is x \(\times\) 10\(-\)2. The value of x is __________. (Integer answer)[Assume - Ideal gas; 1 b...

Data given for the following reaction is as follows :FeO(s) + C(graphite) \(\to\) Fe(s) + CO(g)
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The angle between the straight lines, whose direction cosines are given by the equations 2l + 2m \(-\) n = 0 and mn + nl + lm = 0, is :

The equation of the plane passing through the line of intersection of the planes \(\overrightarrow r .\left( {\widehat i + \widehat j + \widehat k} \right) = 1\) and $$\overrightarrow r .\left( {2\widehat i + 3\widehat j - \widehat k} \righ...

Let S be the mirror image of the point Q(1, 3, 4) with respect to the plane 2x \(-\) y + z + 3 = 0 and let R(3, 5, \(\gamma\)) be a point of this plane. Then the square of the length of the line segment SR is ___________.

A box open from top is made from a rectangular sheet of dimension a \(\times\) b by cutting squares each of side x from each of the four corners and folding up the flaps. If the volume of the box is maximum, then x is equal to :

The area of the region bounded by the parabola (y \(-\) 2)2 = (x \(-\) 1), the tangent to it at the point whose ordinate is 3 and the x-axis is :

3 \(\times\) 722 + 2 \(\times\) 1022 \(-\) 44 when divided by 18 leaves the remainder __________.

Let Z be the set of all integers,\(A = \{ (x,y) \in Z \times Z:{(x - 2)^2} + {y^2} \le 4\}\)\(B = \{ (x,y) \in Z \times Z:{x^2} + {y^2} \le 4\}\)\(C = \{ (x,y) \in Z \times Z:{(x - 2)^2} + {(y - 2)^2} \le 4\}\)If the total number of rela...

Two circles each of radius 5 units touch each other at the point (1, 2). If the equation of their common tangent is 4x + 3y = 10, and C1(\(\alpha\), \(\beta\)) and C2(\(\gamma\), \(\delta\)), C1 \(\ne\) C2 are their centres, then |($$\alpha...

Let z1 and z2 be two complex numbers such that \(\arg ({z_1} - {z_2}) = {\pi \over 4}\) and z1, z2 satisfy the equation | z \(-\) 3 | = Re(z). Then the imaginary part of z1 + z2 is equal to ___________.

The value of the integral \(\int\limits_0^1 {{{\sqrt x dx} \over {(1 + x)(1 + 3x)(3 + x)}}}\) is :

A differential equation representing the family of parabolas with axis parallel to y-axis and whose length of latus rectum is the distance of the point (2, \(-\)3) from the line 3x + 4y = 5, is given by :

If the solution curve of the differential equation (2x \(-\) 10y3)dy + ydx = 0, passes through the points (0, 1) and (2, \(\beta\)), then \(\beta\) is a root of the equation :

If \(y(x) = {\cot ^{ - 1}}\left( {{{\sqrt {1 + \sin x} + \sqrt {1 - \sin x} } \over {\sqrt {1 + \sin x} - \sqrt {1 - \sin x} }}} \right),x \in \left( {{\pi \over 2},\pi } \right)\), then \({{dy} \over {dx}}\) at \(x = {{5\pi } \over 6}\)...

Two poles, AB of length a metres and CD of length a + b (b \(\ne\) a) metres are erected at the same horizontal level with bases at B and D. If BD = x and tan\(\angle\)ACB = \({1 \over 2}\), then :

Let A (sec\(\theta\), 2tan\(\theta\)) and B (sec\(\phi\), 2tan\(\phi\)), where \(\theta\) + \(\phi\) = \(\pi\)/2, be two points on the hyperbola 2x2 \(-\) y2 = 2. If (\(\alpha\), \(\beta\)) is the point of the intersection of the normals to...

If \(\int {{{2{e^x} + 3{e^{ - x}}} \over {4{e^x} + 7{e^{ - x}}}}dx = {1 \over {14}}(ux + v{{\log }_e}(4{e^x} + 7{e^{ - x}})) + C}\), where C is a constant of integration, then u + v is equal to _____________.

Let M and m respectively be the maximum and minimum values of the function f(x) = tan\(-\)1 (sin x + cos x) in \(\left[ {0,{\pi \over 2}} \right]\), then the value of tan(M \(-\) m) is equal to :

If \(\mathop {\lim }\limits_{x \to \infty } \left( {\sqrt {{x^2} - x + 1} - ax} \right) = b\), then the ordered pair (a, b) is :

The Boolean expression (p \(\wedge\) q) \(\Rightarrow\) ((r \(\wedge\) q) \(\wedge\) p) is equivalent to :

Let \(A = \left( {\matrix{ {[x + 1]} & {[x + 2]} & {[x + 3]} \cr {[x]} & {[x + 3]} & {[x + 3]} \cr {[x]} & {[x + 2]} & {[x + 4]} \cr } } \right)\), where [t] denotes the greatest integer less than or equal to t. If det(A) =...