JEE Main 2021 (Online) 17th March Morning Shift

Paper was held on
Wed, Mar 17, 2021 3:30 AM

## Chemistry

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

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

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

View Question Hoffmann bromomide degradation of benzamide gives product A, which upon heating with CHCl3 and NaOH gives product B.The

View Question The above reaction requires which of the following reaction conditions?

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

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

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

View Question Reducing smog is a mixture of :

View Question The correct order of conductivity of ions in water is :

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

View Question Given below are two statements :Statement I : Potassium permanganate on heating at 573K forms potassium manganate.Statem

View Question Mesityl oxide is a common name of :

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

View Question Which of the following is an aromatic compound?

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

View Question Given below are two statements :Statement I : Retardation factor (Rf) can be measured in meter/centimeter.Statement II :

View Question Which of the following is correct structure of tyrosine?

View Question Which of the following reaction is an example of ammonolysis?

View Question The INCORRECT statement(s) about heavy water is (are)(A) used as a moderator in nuclear reactor(B) obtained as a by-prod

View Question A certain orbital has n = 4 and mL = $$-$$3. The number of radial nodes in this orbital is ____________. (Round off to t

View Question 15 mL of aqueous solution of Fe2+ in acidic medium completely reacted with 20 mL of 0.03 M aqueous Cr2O$$_7^{2 - }$$. Th

View Question The reaction of white phosphorus on boiling with alkali in inert atmosphere resulted in the formation of product 'A'. Th

View Question In the above reaction, 3.9 g of benzene on nitration gives 4.92 g of nitrobenzene. The percentage yield of nitrobenzene

View Question 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

View Question For a certain first order reaction 32% of the reactant is left after 570s. The rate constant of this reaction is _______

View Question 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 d

View Question The mole fraction of a solute in a 100 molal aqueous solution is ___________ $$\times$$ 10$$-$$2. (Round off to the Near

View Question The standard enthalpies of formation of Al2O3 and CaO are $$-$$1675 kJ mol-1 and $$-$$635 kJ mol$$-$$1 respectively.For

View Question The oxygen dissolved in water exerts a partial pressure of 20 kPa in the vapour above water. The molar solubility of oxy

View Question ## Mathematics

In a triangle PQR, the co-ordinates of the points P and Q are ($$-$$2, 4) and (4, $$-$$2) respectively. If the equation

View Question The value of $$\mathop {\lim }\limits_{x \to {0^ + }} {{{{\cos }^{ - 1}}(x - {{[x]}^2}).{{\sin }^{ - 1}}(x - {{[x]}^2})}

View Question Which of the following statements is correct for the function g($$\alpha$$) for $$\alpha$$ $$\in$$ R such that $$g(\alph

View Question Let $$\overrightarrow a $$ = 2$$\widehat i$$ $$-$$ 3$$\widehat j$$ + 4$$\widehat k$$ and $$\overrightarrow b $$ = 7$$\wi

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

View Question The sum of possible values of x for tan$$-$$1(x + 1) + cot$$-$$1$$\left( {{1 \over {x - 1}}} \right)$$ = tan$$-$$1$$\lef

View Question 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 $$-$$

View Question If the Boolean expression (p $$ \Rightarrow $$ q) $$ \Leftrightarrow $$ (q * ($$ \sim $$p) is a tautology, then the bool

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

View Question The value of $$4 + {1 \over {5 + {1 \over {4 + {1 \over {5 + {1 \over {4 + ......\infty }}}}}}}}$$ is :

View Question The inverse of $$y = {5^{\log x}}$$ is :

View Question Two dies are rolled. If both dices have six faces numbered 1, 2, 3, 5, 7 and 11, then the probability that the sum of th

View Question 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

View Question The system of equations kx + y + z = 1, x + ky + z = k and x + y + zk = k2 has no solution if k is equal to :

View Question Choose the incorrect statement about the two circles whose equations are given below :x2 + y2 $$-$$ 10x $$-$$ 10y + 41 =

View Question In a school, there are three types of games to be played. Some of the students play two types of games, but none play al

View Question If cot$$-$$1($$\alpha$$) = cot$$-$$1 2 + cot$$-$$1 8 + cot$$-$$1 18 + cot$$-$$1 32 + ...... upto 100 terms, then $$\alph

View Question If $$A = \left( {\matrix{
0 & {\sin \alpha } \cr
{\sin \alpha } & 0 \cr
} } \right)$$ and $$\det \le

View Question Team 'A' consists of 7 boys and n girls and Team 'B' has 4 boys and 6 girls. If a total of 52 single matches can be arra

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

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

View Question Let there be three independent events E1, E2 and E3. The probability that only E1 occurs is $$\alpha$$, only E2 occurs i

View Question The maximum value of z in the following equation z = 6xy + y2, where 3x + 4y $$ \le $$ 100 and 4x + 3y $$ \le $$ 75 for

View Question If the equation of the plane passing through the line of intersection of the planes 2x $$-$$ 7y + 4z $$-$$ 3 = 0, 3x $$-

View Question If $$A = \left[ {\matrix{
2 & 3 \cr
0 & { - 1} \cr
} } \right]$$, then the value of det(A4) + det(A1

View Question If [ . ] represents the greatest integer function, then the value of $$\left| {\int\limits_0^{\sqrt {{\pi \over 2}} } {

View Question If $$f(x) = \sin \left( {{{\cos }^{ - 1}}\left( {{{1 - {2^{2x}}} \over {1 + {2^{2x}}}}} \right)} \right)$$ and its first

View Question If $$\overrightarrow a = \alpha \widehat i + \beta \widehat j + 3\widehat k$$,$$\overrightarrow b = - \beta \widehat

View Question If the function $$f(x) = {{\cos (\sin x) - \cos x} \over {{x^4}}}$$ is continuous at each point in its domain and $$f(0)

View Question The minimum distance between any two points P1 and P2 while considering point P1 on one circle and point P2 on the other

View Question ## Physics

A boy is rolling a 0.5 kg ball on the frictionless floor with the speed of 20 ms-1. The ball gets deflected by an obstac

View Question A polyatomic ideal gas has 24 vibrational modes. What is the value of $$\gamma$$?

View Question Two ideal polyatomic gases at temperatures T1 and T2 are mixed so that there is no loss of energy. If F1 and F2, m1 and

View Question If an electron is moving in the nth orbit of the hydrogen atom, then its velocity (vn) for the nth orbit is given as :

View Question Two identical metal wires of thermal conductivities K1 and K2 respectively are connected in series. The effective therma

View Question A triangular plate is shown. A force $$\overrightarrow F $$ = 4$$\widehat i$$ $$-$$ 3$$\widehat j$$ is applied at point

View Question When two soap bubbles of radii a and b (b > a) coalesce, the radius of curvature of common surface is :

View Question A car accelerates from rest at a constant rate $$\alpha$$ for some time after which it decelerates at a constant rate $$

View Question A mass M hangs on a massless rod of length l which rotates at a constant angular frequency. The mass M moves with steady

View Question A solenoid of 1000 turns per metre has a core with relative permeability 500. Insulated windings of the solenoid carry a

View Question The thickness at the centre of a plane convex lens is 3 mm and the diameter is 6 cm. If the speed of light in the materi

View Question A Carnot's engine working between 400 K and 800 K has a work output of 1200 J per cycle. The amount of heat energy suppl

View Question For what value of displacement the kinetic energy and potential energy of a simple harmonic oscillation become equal ?

View Question An AC current is given by I = I1 sin$$\omega$$t + I2 cos$$\omega$$t. A hot wire ammeter will give a reading :

View Question A modern grand - prix racing car of mass m is travelling on a flat track in a circular arc of radius R with a speed v. I

View Question The vernier scale used for measurement has a positive zero error of 0.2 mm. If while taking a measurement it was noted t

View Question A current of 10A exists in a wire of cross-sectional area of 5 mm2 with a drift velocity of 2 $$\times$$ 10$$-$$3 ms$$-$

View Question The output of the given combination gates represents :

View Question Which level of the single ionized carbon has the same energy as the ground state energy of hydrogen atom?

View Question An electron of mass m and a photon have same energy E. The ratio of wavelength of electron to that of photon is : (c bei

View Question For VHF signal broadcasting, ___________ km2 of maximum service area will be covered by an antenna tower of height 30 m,

View Question The radius in kilometer to which the present radius of earth (R = 6400 km) to be compressed so that the escape velocity

View Question The angular speed of truck wheel is increased from 900 rpm to 2460 rpm in 26 seconds. The number of revolutions by the t

View Question A parallel plate capacitor whose capacitance C is 14 pF is charged by a battery to a potential difference V = 12 V betwe

View Question The following bodies,(1) a ring(2) a disc(3) a solid cylinder(4) a solid sphere,of same mass 'm' and radius 'R' are allo

View Question Four identical rectangular plates with length, l = 2 cm and breadth, b = $${3 \over 2}$$ cm are arranged as shown in fig

View Question Consider two identical springs each of spring constant k and negligible mass compared to the mass M as shown. Fig. 1 sho

View Question The equivalent resistance of series combination of two resistors is 's'. When they are connected in parallel, the equiva

View Question Two blocks (m = 0.5 kg and M = 4.5 kg) are arranged on a horizontal frictionless table as shown in figure. The coefficie

View Question If 2.5 $$\times$$ 10$$-$$6 N average force is exerted by a light wave on a non-reflecting surface of 30 cm2 area during

View Question