JEE Main 2021 (Online) 25th July Morning Shift

Consider the above reaction, the major product 'P' is :

Consider the given reaction, the product 'X' is :

Which one of the following compounds will liberate CO2, when treated with NaHCO3 ?

Which one among the following resonating structures is not correct?

The water soluble protein is :

For the reactionA + B \(\rightleftharpoons\) 2Cthe value of equilibrium constant is 100 at 298 K. If the initial concentration of all the three species is 1 M each, then the equilibrium concentration of C is x \(\times\) 10\(-\)1 M. The val...

For the following graphs,Choose from the options given below, the correct one regarding order of reaction is :

Sodium stearate CH3(CH2)16COO\(-\)Na+ is an anionic surfactant which forms micelles in oil.Choose the correct statement for it from the following :

Which one of the following chemical agent is not being used for dry-cleaning of clothes?

Given below are two statements, one is labelled as Assertion (A) and other is labelled as Reason (R). Assertion (A) : Gabriel phthalimide synthesis cannot be used to prepare aromatic primary amines.Reason (R) : Aryl halides do not undergo n...

Which one of the products of the following reactions does not react with Hinsberg reagent to form sulphonamide?

Which one of the following species responds to an external magnetic field?

Three moles of AgCl get precipitated when one mole of an octahedral co-ordination compound with empirical formula CrCl3.3NH3.3H2O reacts with excess of silver nitrate. The number of chloride ions satisfying the secondary valency of the meta...

The correct order of following 3d metal oxides, according to their oxidation numbers is :(a) CrO3, (b) Fe2O3, (c) MnO2, (d) V2O5, (e) Cu2O

Consider the cell at 25\(^\circ\)CZn | Zn2+ (aq), (1M) || Fe3+ (aq), Fe2+ (aq) | Pt(s)The fraction of total iron present as Fe3+ ion at the cell potential of 1.500 V is x \(\times\) 10\(-\)2. The value of x is ______________. (Nearest integ...

A home owner uses 4.00 \(\times\) 103 m3 of methane (CH4) gas, (assume CH4 is an ideal gas) in a year to heat his home. Under the pressure of 1.0 atm and 300 K, mass of gas used is x \(\times\) 105 g. The value of x is __________. (Nearest ...

The given reaction can occur in the presence of :(a) Bromine water(b) Br2 in CS2, 273 K(c) Br2/FeBr3(d) Br2 in CHCl3, 273 KChoose the correct answer from the options gien below :

An organic compound 'A' C4H8 on treatment with KMnO4/H+ yields compound 'B' C3H6O.Compound 'A' also yields compound 'B' an ozonolysis. Compound 'A' is :

The number of sigma bonds in is _______________.

At 298.2 K the relationship between enthalpy of bond dissociation (in kJ mol\(-\)1) for hydrogen (EH) and its isotope, deuterium (ED), is best described by :

In the leaching of alumina from bauxite, the ore expected to leach out in the process by reacting with NaOH is :

Which one of the following compounds of Group-14 elements is not known?

The ionic radii of K+, Na+, Al3+ and Mg2+ are in the order:

is a repeating unit for :

Given below are two statements :Statement I : None of the alkaline earth metal hydroxides dissolve in alkali.Statement II : Solubility of alkaline earth metal hydroxides in water increases down the group. In the light of the above statement...

CO2 gas is bubbled through water during a soft drink manufacturing process at 298 K. If CO2 exerts a partial pressure of 0.835 bar then x m mol of CO2 would dissolve in 0.9 L of water. The value of x is ____________. (Nearest integer)(Henry...

When 10 mL of an aqueous solution of Fe2+ ions was titrated in the presence of dil H2SO4 using diphenylamine indicator, 15 mL of 0.02 M solution of K2Cr2O7 was required to get the end point. The molarity of the solution containing Fe2+ ions...

Consider the complete combustion of butane, the amount of butane utilized to produce 72.0 g of water is ___________ \(\times\) 10\(-\)1 g. (in nearest integer)

A source of monochromatic radiation of wavelength 400 nm provides 1000 J of energy in 10 seconds. When this radiation falls on the surface of sodium, x \(\times\) 1020 electrons are ejected per second. Assume that wavelength 400 nm is suffi...

At 298 K, the enthalpy of fusion of a solid (X) is 2.8 kJ mol\(-\)1 and the enthalpy of vaporisation of the liquid (X) is 98.2 kJ mol\(-\)1. The enthalpy of sublimation of the substance (X) in kJ mol\(-\)1 is _____________. (in nearest inte...

Let the foot of perpendicular from a point P(1, 2, \(-\)1) to the straight line \(L:{x \over 1} = {y \over 0} = {z \over { - 1}}\) be N. Let a line be drawn from P parallel to the plane x + y + 2z = 0 which meets L at point Q. If \(\alpha\)...

Let \(f(x) = 3{\sin ^4}x + 10{\sin ^3}x + 6{\sin ^2}x - 3\), \(x \in \left[ { - {\pi \over 6},{\pi \over 2}} \right]\). Then, f is :

The area (in sq. units) of the region, given by the set \(\{ (x,y) \in R \times R|x \ge 0,2{x^2} \le y \le 4 - 2x\}\) is :

If b is very small as compared to the value of a, so that the cube and other higher powers of \({b \over a}\) can be neglected in the identity $${1 \over {a - b}} + {1 \over {a - 2b}} + {1 \over {a - 3b}} + ..... + {1 \over {a - nb}} = \alp...

The ratio of the coefficient of the middle term in the expansion of (1 + x)20 and the sum of the coefficients of two middle terms in expansion of (1 + x)19 is _____________.

The term independent of 'x' in the expansion of \({\left( {{{x + 1} \over {{x^{2/3}} - {x^{1/3}} + 1}} - {{x - 1} \over {x - {x^{1/2}}}}} \right)^{10}}\), where x \(\ne\) 0, 1 is equal to ______________.

Let $$S = \left\{ {n \in N\left| {{{\left( {\matrix{
0 & i \cr
1 & 0 \cr

} } \right)}^n}\left( {\matrix{
a & b \cr
c & d \cr

} } \right) = \left( {\matrix{
a & b \cr
c & d \cr

} } \right)\forall a,b,c,d \...

The value of the definite integral \(\int\limits_{\pi /24}^{5\pi /24} {{{dx} \over {1 + \root 3 \of {\tan 2x} }}}\) is :

Let \(f:[0,\infty ) \to [0,\infty )\) be defined as \(f(x) = \int_0^x {[y]dy}\)where [x] is the greatest integer less than or equal to x. Which of the following is true?

Let y = y(x) be the solution of the differential equation \({{dy} \over {dx}} = 1 + x{e^{y - x}}, - \sqrt 2 < x < \sqrt 2 ,y(0) = 0\)then, the minimum value of \(y(x),x \in \left( { - \sqrt 2 ,\sqrt 2 } \right)\) is equal to :

Let y = y(x) be solution of the following differential equation \({e^y}{{dy} \over {dx}} - 2{e^y}\sin x + \sin x{\cos ^2}x = 0,y\left( {{\pi \over 2}} \right) = 0\) If \(y(0) = {\log _e}(\alpha + \beta {e^{ - 2}})\), then $$4(\alpha + \b...

Let an ellipse \(E:{{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1\), \({a^2} > {b^2}\), passes through \(\left( {\sqrt {{3 \over 2}} ,1} \right)\) and has eccentricity \({1 \over {\sqrt 3 }}\). If a circle, centered at focus F($$\alp...

Let g : N \(\to\) N be defined asg(3n + 1) = 3n + 2,g(3n + 2) = 3n + 3,g(3n + 3) = 3n + 1, for all n \(\ge\) 0. Then which of the following statements is true?

A spherical gas balloon of radius 16 meter subtends an angle 60\(^\circ\) at the eye of the observer A while the angle of elevation of its center from the eye of A is 75\(^\circ\). Then the height (in meter) of the top most point of the bal...

The locus of the centroid of the triangle formed by any point P on the hyperbola \(16{x^2} - 9{y^2} + 32x + 36y - 164 = 0\), and its foci is :

Let f : R \(\to\) R be defined as$$f(x) = \left\{ {\matrix{
{{{\lambda \left| {{x^2} - 5x + 6} \right|} \over {\mu (5x - {x^2} - 6)}},} & {x < 2} \cr
{{e^{{{\tan (x - 2)} \over {x - [x]}}}},} & {x > 2} \cr
{\mu ,} & {x = 2} \c...

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

The values of a and b, for which the system of equations 2x + 3y + 6z = 8x + 2y + az = 53x + 5y + 9z = bhas no solution, are :

Let \(M = \left\{ {A = \left( {\matrix{ a & b \cr c & d \cr } } \right):a,b,c,d \in \{ \pm 3, \pm 2, \pm 1,0\} } \right\}\). Define f : M \(\to\) Z, as f(A) = det(A), for all A\(\in\)M, where z is set of all integers. Then the ...

Let a parabola b be such that its vertex and focus lie on the positive x-axis at a distance 2 and 4 units from the origin, respectively. If tangents are drawn from O(0, 0) to the parabola P which meet P at S and R, then the area (in sq. uni...