JEE Main 2021 (Online) 17th March Morning Shift

Mesityl oxide is a common name of :

The product ''A'' in the above reaction is :

Given below are two statements :Statement I : Retardation factor (Rf) can be measured in meter/centimeter.Statement II : Rf value of a compound remains constant in all solvents.Choose the most appropriate answer from the options given below...

Which of the following is an aromatic compound?

Which of the following is correct structure of tyrosine?

A central atom in a molecule has two lone pairs of electrons and forms three single bonds. The shape of this molecule is :

0.01 moles of a weak acid HA (Ka = 2.0 \(\times\) 10\(-\)6) is dissolved in 1.0 L of 0.1 M HCl solution. The degree of dissociation of HA is __________ \(\times\) 10\(-\)5 (Round off to the Nearest Integer). [Neglect volume change on adding...

For a certain first order reaction 32% of the reactant is left after 570s. The rate constant of this reaction is _________ \(\times\) 10\(-\)3 s\(-\)1. (Round off to the Nearest Integer). [Given : log102 = 0.301, ln10 = 2.303]

With respect to drug-enzyme interaction, identify the wrong statement.

Hoffmann bromomide degradation of benzamide gives product A, which upon heating with CHCl3 and NaOH gives product B.The structures of A and B are :

Given below are two statements :Statement I : Potassium permanganate on heating at 573K forms potassium manganate.Statement II : Both potassium permanganate and potassium manganate are tetrahedral and paramagnetic in nature.In the light of ...

What is the spin-only magnetic moment value (BM) of a divalent metal ion with atomic number 25, in it's aqueous solution?

Reducing smog is a mixture of :

The pressure exerted by a non-reactive gaseous mixture of 6.4g of methane and 8.8 g of carbon dioxide in a 10L vessel at 27\(^\circ\)C is __________ kPa. (Round off to the Nearest Integer).[Assume gases are ideal, R = 8.314 J mol\(-\)1 K$$-...

Which of the following reaction is an example of ammonolysis?

The above reaction requires which of the following reaction conditions?

Product ''A'' in the above chemical reaction is :

The INCORRECT statement(s) about heavy water is (are)(A) used as a moderator in nuclear reactor(B) obtained as a by-product in fertilizer industry(C) used for the study of reaction mechanism(D) has a higher dielectric constant than waterCho...

Which of the following compound CANNOT act as a Lewis base?

The point of intersection and sudden increase in the slope, in the diagram given below, respectively, indicates :

The reaction of white phosphorus on boiling with alkali in inert atmosphere resulted in the formation of product 'A'. The reaction of 1 mol of 'A' with excess of AgNO3 in aqueous medium gives ___________ mol(s) of Ag. (Round off to the Near...

The absolute value of the electron gain enthalpy of halogens satisfies :

In the above reaction, 3.9 g of benzene on nitration gives 4.92 g of nitrobenzene. The percentage yield of nitrobenzene in the above reaction is ________%. (Round off to the Nearest Integer).(Given atomic mass : C : 12.0 u, H : 1.0 u, O : 1...

The correct order of conductivity of ions in water is :

The oxygen dissolved in water exerts a partial pressure of 20 kPa in the vapour above water. The molar solubility of oxygen in water is __________ \(\times\) 10\(-\)5 mol dm\(-\)3. (Round off to the Nearest Integer).[Given : Henry's law con...

The mole fraction of a solute in a 100 molal aqueous solution is ___________ \(\times\) 10\(-\)2. (Round off to the Nearest Integer).[Given : Atomic masses : H : 1.0 u, O : 16.0 u ]

15 mL of aqueous solution of Fe2+ in acidic medium completely reacted with 20 mL of 0.03 M aqueous Cr2O\(_7^{2 - }\). The molarity of the Fe2+ solution is __________ \(\times\) 10-2 M. (Round off to the Nearest Integer).

A certain orbital has n = 4 and mL = \(-\)3. The number of radial nodes in this orbital is ____________. (Round off to the Nearest Integer).

A colloidal system consisting of a gas dispersed in a solid is called a/an :

The standard enthalpies of formation of Al2O3 and CaO are \(-\)1675 kJ mol-1 and \(-\)635 kJ mol\(-\)1 respectively.For the reaction3CaO + 2Al \(\to\) 3Ca + Al2O3 the standard reaction enthalpy \(\Delta\)rH0 = _________ kJ.(Round off to t...

The equation of the plane which contains the y-axis and passes through the point (1, 2, 3) is :

If the equation of the plane passing through the line of intersection of the planes 2x \(-\) 7y + 4z \(-\) 3 = 0, 3x \(-\) 5y + 4z + 11 = 0 and the point (\(-\)2, 1, 3) is ax + by + cz \(-\) 7 = 0, then the value of 2a + b + c \(-\) 7 is __...

If (2021)3762 is divided by 17, then the remainder is __________.

If the fourth term in the expansion of \({(x + {x^{{{\log }_2}x}})^7}\) is 4480, then the value of x where x\(\in\)N is equal to :

The line 2x \(-\) y + 1 = 0 is a tangent to the circle at the point (2, 5) and the centre of the circle lies on x \(-\) 2y = 4. Then, the radius of the circle is :

The minimum distance between any two points P1 and P2 while considering point P1 on one circle and point P2 on the other circle for the given circles' equationsx2 + y2 \(-\) 10x \(-\) 10y + 41 = 0x2 + y2 \(-\) 24x \(-\) 10y + 160 = 0 is ___...

Choose the incorrect statement about the two circles whose equations are given below :x2 + y2 \(-\) 10x \(-\) 10y + 41 = 0 and x2 + y2 \(-\) 16x \(-\) 10y + 80 = 0

The area of the triangle with vertices A(z), B(iz) and C(z + iz) is :

If [ . ] represents the greatest integer function, then the value of \(\left| {\int\limits_0^{\sqrt {{\pi \over 2}} } {\left[ {[{x^2}] - \cos x} \right]dx} } \right|\) is ____________.

Which of the following statements is correct for the function g(\(\alpha\)) for \(\alpha\) \(\in\) R such that $$g(\alpha ) = \int\limits_{{\pi \over 6}}^{{\pi \over 3}} {{{{{\sin }^\alpha }x} \over {{{\cos }^\alpha }x + {{\sin }^\alpha }...

Which of the following is true for y(x) that satisfies the differential equation \({{dy} \over {dx}}\) = xy \(-\) 1 + x \(-\) y; y(0) = 0 :

If \(f(x) = \sin \left( {{{\cos }^{ - 1}}\left( {{{1 - {2^{2x}}} \over {1 + {2^{2x}}}}} \right)} \right)\) and its first derivative with respect to x is \(- {b \over a}{\log _e}2\) when x = 1, where a and b are integers, then the minimum v...

The inverse of \(y = {5^{\log x}}\) is :

The sum of possible values of x for tan\(-\)1(x + 1) + cot\(-\)1\(\left( {{1 \over {x - 1}}} \right)\) = tan\(-\)1\(\left( {{8 \over {31}}} \right)\) is :

If cot\(-\)1(\(\alpha\)) = cot\(-\)1 2 + cot\(-\)1 8 + cot\(-\)1 18 + cot\(-\)1 32 + ...... upto 100 terms, then \(\alpha\) is :

If the function \(f(x) = {{\cos (\sin x) - \cos x} \over {{x^4}}}\) is continuous at each point in its domain and \(f(0) = {1 \over k}\), then k is ____________.

The value of \(\mathop {\lim }\limits_{x \to {0^ + }} {{{{\cos }^{ - 1}}(x - {{[x]}^2}).{{\sin }^{ - 1}}(x - {{[x]}^2})} \over {x - {x^3}}}\), where [ x ] denotes the greatest integer \(\le\) x is :

If the Boolean expression (p \(\Rightarrow\) q) \(\Leftrightarrow\) (q * (\(\sim\)p) is a tautology, then the boolean expression (p * (\(\sim\)q)) is equivalent to :

If \(A = \left[ {\matrix{ 2 & 3 \cr 0 & { - 1} \cr } } \right]\), then the value of det(A4) + det(A10 \(-\) (Adj(2A))10) is equal to _____________.

If \(A = \left( {\matrix{ 0 & {\sin \alpha } \cr {\sin \alpha } & 0 \cr } } \right)\) and \(\det \left( {{A^2} - {1 \over 2}I} \right) = 0\), then a possible value of \(\alpha\) is :