JEE Main 2021 (Online) 25th February Morning Shift

Compound(s) which will liberate carbon dioxide with sodium bicarbonate solution is/are :

The major product of the following chemical reaction is :

Which one of the following reactions will not form acetaldehyde?

Using the provided information in the following paper chromatogram :Fig : Paper chromatography for compounds A and B.the calculated Rf value of A ________\(\times\) 10-1.

Which of the glycosidic linkage between galactose and glucose is present in lactose?

According to molecular orbital theory, the species among the following that does not exist is :

Among the following, the number of halide(s) which is/are inert to hydrolysis is _________.(A) BF3(B) SiCl4(C) PCl5(D) SF6

For the reaction, aA + bB \(\to\) cC + dD, the plot of log k vs \({1 \over T}\) is given below :The temperature at which the rate constant of the reaction is 10-4 s-1 is _________ K. (Rounded off to the nearest integer)[Given : The rate c...

Which of the following reaction/s will not give p-aminoazobenzene?

The hybridization and magnetic nature of \({[Mn{(CN)_6}]^{4 - }}\) and \({[Fe{(CN)_6}]^{3 - }}\), respectively are :

In which of the following pairs, the outer most electronic configuration will be the same?

Given below are two statements :Statement I : CeO2 can be used for oxidation of aldehydes and ketones.Statement II : Aqueous solution of EuSO4 is a strong reducing agent.In the light of the above statements, choose the correct answer from t...

Given below are two statements :Statement I : An allotrope of oxygen is an important intermediate in the formation of reducing smog.Statement II : Gases such as oxides of nitrogen and sulphur present in troposphere contribute to the formati...

A car tyre is filled with nitrogen gas at 35 psi at 27\(^\circ\)C. It will burst if pressure exceeds 40 psi. The temperature in \(^\circ\)C at which the car tyre will burst is _________. (Rounded off to the nearest integer)

Identify A and B in the chemical reaction.

Consider the following chemical reaction.
The number of sp2 hybridized carbon atom(s) present in the product is ________.

Identify A in the given chemical reaction.

Which of the following equation depicts the oxidizing nature of H2O2?

The solubility of AgCN in a buffer solution of pH = 3 is x. The value of x is : [Assume : No cyano complex is formed; Ksp(AgCN) = 2.2 \(\times\) 10\(-\)16 and Ka(HCN) = 6.2 \(\times\) 10\(-\)10]

Ellingham diagram is a graphical representation of :

The correct statement about B2H6 is :

Which statement is correct?

0.4 g mixture of NaOH, Na2CO3 and some inert impurities was first titrated with \({N \over {10}}\) HCl using phenolphthalein as an indicator, 17.5 mL of HCl was required at the end point. After this methyl orange was added and titrated. 1.5...

1 molal aqueous solution of an electrolyte A2B3 is 60% ionised. The boiling point of the solution at 1 atm is _________ K. (Rounded off to the nearest integer)[Given Kb for (H2O) = 0.52 K kg mol\(-\)1]

Complete combustion of 1.80 g of an oxygen containing compound (CxHyOz) gave 2.64 g of CO2 and 1.08 g of H2O. The percentage of oxygen in the organic compound is :

In basic medium \(Cr{O_4}^{2 - }\) oxidises \({S_2}{O_3}^{2 - }\) to form \(S{O_4}^{2 - }\) and itself changes into \(Cr{(OH)_4}^ -\). The volume of 0.154 M \(Cr{O_4}^{2 - }\) required to react with 40 mL of 0.25 M \({S_2}{O_3}^{2 - }\) is...

The plots of radial distribution functions for various orbitals of hydrogen atom against 'r' are given below :
The correct plot for 3s orbital is :

In Freundlich adsorption isotherm at moderate pressure, the extent of adsorption \(\left( {{x \over m}} \right)\) is directly proportional to Px. The value of x is :

The reaction of cyanamide, NH2CN(s) with oxygen was run in a bomb calorimeter and \(\Delta\)U was found to be \(-\)742.24 kJ mol\(-\)1. The magnitude of \(\Delta\)H298 for the reaction$$N{H_2}C{H_{(S)}} + {3 \over 2}{O_{2(g)}} \to {N_{2(g)}...

The ionization enthalpy of Na+ formation from Na(g) is 495.8 kJ mol\(-\)1, while the electron gain enthalpy of Br is \(-\)325.0 kJ mol\(-\)1. Given the lattice enthalpy of NaBr is \(-\)728.4 kJ mol\(-\)1. The energy for the formation of NaB...

The equation of the line through the point (0, 1, 2) and perpendicular to the line \({{x - 1} \over 2} = {{y + 1} \over 3} = {{z - 1} \over { - 2}}\) is :

Let \(\alpha\) be the angle between the lines whose direction cosines satisfy the equations l + m \(-\) n = 0 and l2 + m2 \(-\) n2 = 0. Then the value of sin4\(\alpha\) + cos4\(\alpha\) is :

Let f(x) be a polynomial of degree 6 in x, in which the coefficient of x6 is unity and it has extrema at x = \(-\)1 and x = 1. If \(\mathop {\lim }\limits_{x \to 0} {{f(x)} \over {{x^3}}} = 1\), then \(5.f(2)\) is equal to _________.

If Rolle's theorem holds for the function \(f(x) = {x^3} - a{x^2} + bx - 4\), \(x \in [1,2]\) with \(f'\left( {{4 \over 3}} \right) = 0\), then ordered pair (a, b) is equal to :

If the curves, \({{{x^2}} \over a} + {{{y^2}} \over b} = 1\) and \({{{x^2}} \over c} + {{{y^2}} \over d} = 1\) intersect each other at an angle of 90\(^\circ\), then which of the following relations is TRUE?

The graphs of sine and cosine functions, intersect each other at a number of points and between two consecutive points of intersection, the two graphs enclose the same area A. Then A4 is equal to __________.

Let the lines (2 \(-\) i)z = (2 + i)\(\overline z\) and (2 \(+\) i)z + (i \(-\) 2)\(\overline z\) \(-\) 4i = 0, (here i2 = \(-\)1) be normal to a circle C. If the line iz + \(\overline z\) + 1 + i = 0 is tangent to this circle C, then it...

The value of \(\int\limits_{ - 1}^1 {{x^2}{e^{[{x^3}]}}} dx\), where [ t ] denotes the greatest integer \(\le\) t, is :

If a curve passes through the origin and the slope of the tangent to it at any point (x, y) is \({{{x^2} - 4x + y + 8} \over {x - 2}}\), then this curve also passes through the point :

Let f, g : N \(\to\) N such that f(n + 1) = f(n) + f(1) \(\forall\) n\(\in\)N and g be any arbitrary function. Which of the following statements is NOT true?

A man is observing, from the top of a tower, a boat speeding towards the lower from a certain point A, with uniform speed. At that point, angle of depression of the boat with the man's eye is 30\(^\circ\) (Ignore man's height). After sailin...

The locus of the point of intersection of the lines \(\left( {\sqrt 3 } \right)kx + ky - 4\sqrt 3 = 0\) and \(\sqrt 3 x - y - 4\left( {\sqrt 3 } \right)k = 0\) is a conic, whose eccentricity is _________.

The value of the integral \(\int {{{\sin \theta .\sin 2\theta ({{\sin }^6}\theta + {{\sin }^4}\theta + {{\sin }^2}\theta )\sqrt {2{{\sin }^4}\theta + 3{{\sin }^2}\theta + 6} } \over {1 - \cos 2\theta }}} \,d\theta\) is :

The number of points, at which the function f(x) = | 2x + 1 | \(-\) 3| x + 2 | + | x2 + x \(-\) 2 |, x\(\in\)R is not differentiable, is __________.

\(\mathop {\lim }\limits_{n \to \infty } {\left( {1 + {{1 + {1 \over 2} + ........ + {1 \over n}} \over {{n^2}}}} \right)^n}\) is equal to :

The statement A \(\to\) (B \(\to\) A) is equivalent to :

Let \(A = \left[ {\matrix{ x & y & z \cr y & z & x \cr z & x & y \cr } } \right]\), where x, y and z are real numbers such that x + y + z > 0 and xyz = 2. If \({A^2} = {I_3}\), then the value of \({x^3} + {y^3} + {z^3}\) is...

If the system of equationskx + y + 2z = 13x \(-\) y \(-\) 2z = 2\(-\)2x \(-\)2y \(-\)4z = 3has infinitely many solutions, then k is equal to __________.

If \(A = \left[ {\matrix{ 0 & { - \tan \left( {{\theta \over 2}} \right)} \cr {\tan \left( {{\theta \over 2}} \right)} & 0 \cr } } \right]\) and $$({I_2} + A){({I_2} - A)^{ - 1}} = \left[ {\matrix{
a & { - b} \cr
b & a...

A tangent is drawn to the parabola y2 = 6x which is perpendicular to the line 2x + y = 1. Which of the following points does NOT lie on it?