JEE Main 2021 (Online) 31st August Evening Shift

Paper was held on
Tue, Aug 31, 2021 9:30 AM

## Chemistry

Arrange the following conformational isomers of n-butane in order of their increasing potential energy :

View Question The Eu2+ ion is a strong reducing agent in spite of its ground state electronic configuration (outermost) : [Atomic numb

View Question The structures A and B formed in the following reaction are : [Ph = $$-$$C6H5]

View Question In which one of the following sets all species show disproportionation reaction?

View Question Match List - I with List - II
List - I(Parmeter)
List - II(Unit)
(a)
Cell constant

View Question The major products A and B formed in the following reaction sequence are :

View Question Which of the following is not an example of fibrous protein?

View Question The deposition of X and Y on ground surfaces is referred as wet and dry depositions, respectively. X and Y are :

View Question For the reaction given below :-The compound which is not formed as a product in the reaction is a :

View Question Spin only magnetic moment in BM of [Fe(CO)4(C2O4)]+ is :

View Question Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A)

View Question The incorrect expression among the following is :

View Question Which one of the following statements is incorrect?

View Question Which among the following is not a polyester?

View Question Which one of the following correctly represents the order of stability of oxides, X2O; (X = halogen)?

View Question Match List - I with List - II :
List - I(Metal Ion)
List - II(Group of Qualitative analysis)

View Question The major product of the following reaction is :

View Question For the following sequence of reactions, the correct
products are :

View Question Identify correct A, B and C in the reaction sequence given below :

View Question The number of S = O bonds present in sulphurous acid, peroxodisulphuric acid and pyrosulphuric acid, respectively are :

View Question CH4 is absorbed on 1g charcoal at 0$$^\circ$$C following the Freundlich adsorpiton isotherm 10.0 mL of CH4 is adsorbed a

View Question 1.22 g of an organic acid is separately dissolved in 100 g of benzene (Kb = 2.6 K kg mol$$-$$1) and 100 g of acetone (Kb

View Question The value of magnetic quantum number of the outermost electron of Zn+ ion is ______________.

View Question The empirical formula for a compound with a cubic close packed arrangement of anions and with cations occupying all the

View Question In the electrolytic refining of blister copper, the total number of main impurities, from the following, removed as anod

View Question The pH of a solution obtained by mixing 50 mL of 1 M HCl and 30 mL of 1 M NaOH is x $$\times$$ 10$$-$$4. The value of x

View Question For the reaction A $$\to$$ B, the rate constant k(in s$$-$$1) is given by$${\log _{10}}k = 20.35 - {{(2.47 \times {{10}^

View Question Sodium oxide reacts with water to produce sodium hydroxide. 20.0 g of sodium oxide is dissolved in 500 mL of water. Negl

View Question According to molecular orbital theory, the number of unpaired electron(s) in $$O_2^{2 - }$$ is :

View Question The transformation occurring in Duma's method is given below :$${C_2}{H_7}N + \left( {2x + {y \over 2}} \right)CuO \to x

View Question ## Mathematics

If $$\alpha$$ + $$\beta$$ + $$\gamma$$ = 2$$\pi$$, then the system of equations x + (cos $$\gamma$$)y + (cos $$\beta$$)z

View Question Let $$\overrightarrow a ,\overrightarrow b ,\overrightarrow c $$ three vectors mutually perpendicular to each other and

View Question The domain of the function$$f(x) = {\sin ^{ - 1}}\left( {{{3{x^2} + x - 1} \over {{{(x - 1)}^2}}}} \right) + {\cos ^{ -

View Question Let S = {1, 2, 3, 4, 5, 6}. Then the probability that a randomly chosen onto function g from S to S satisfies g(3) = 2g(

View Question Let f : N $$\to$$ N be a function such that f(m + n) = f(m) + f(n) for every m, n$$\in$$N. If f(6) = 18, then f(2) . f(3

View Question The distance of the point ($$-$$1, 2, $$-$$2) from the line of intersection of the planes 2x + 3y + 2z = 0 and x $$-$$ 2

View Question Negation of the statement (p $$\vee$$ r) $$\Rightarrow$$ (q $$\vee$$ r) is :

View Question If $$\alpha = \mathop {\lim }\limits_{x \to {\pi \over 4}} {{{{\tan }^3}x - \tan x} \over {\cos \left( {x + {\pi \ove

View Question The locus of mid-points of the line segments joining ($$-$$3, $$-$$5) and the points on the ellipse $${{{x^2}} \over 4}

View Question If $${{dy} \over {dx}} = {{{2^x}y + {2^y}{{.2}^x}} \over {{2^x} + {2^{x + y}}{{\log }_e}2}}$$, y(0) = 0, then for y = 1,

View Question An angle of intersection of the curves, $${{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1$$ and x2 + y2 = ab, a &g

View Question If $$y{{dy} \over {dx}} = x\left[ {{{{y^2}} \over {{x^2}}} + {{\phi \left( {{{{y^2}} \over {{x^2}}}} \right)} \over {\ph

View Question The sum of the roots of the equation $$x + 1 - 2{\log _2}(3 + {2^x}) + 2{\log _4}(10 - {2^{ - x}}) = 0$$, is :

View Question If z is a complex number such that $${{z - i} \over {z - 1}}$$ is purely imaginary, then the minimum value of | z $$-$$

View Question Let a1, a2, a3, ..... be an A.P. If $${{{a_1} + {a_2} + .... + {a_{10}}} \over {{a_1} + {a_2} + .... + {a_p}}} = {{100}

View Question Let A be the set of all points ($$\alpha$$, $$\beta$$) such that the area of triangle formed by the points (5, 6), (3, 2

View Question The number of solutions of the equation $${32^{{{\tan }^2}x}} + {32^{{{\sec }^2}x}} = 81,\,0 \le x \le {\pi \over 4}$$

View Question Let f be any continuous function on [0, 2] and twice differentiable on (0, 2). If f(0) = 0, f(1) = 1 and f(2) = 2, then

View Question If [x] is the greatest integer $$\le$$ x, then $${\pi ^2}\int\limits_0^2 {\left( {\sin {{\pi x} \over 2}} \right)(x - [x

View Question The mean and variance of 7 observations are 8 and 16 respectively. If two observations are 6 and 8, then the variance of

View Question If the coefficient of a7b8 in the expansion of (a + 2b + 4ab)10 is K.216, then K is equal to _____________.

View Question Suppose, the line $${{x - 2} \over \alpha } = {{y - 2} \over { - 5}} = {{z + 2} \over 2}$$ lies on the plane $$x + 3y -

View Question The number of 4-digit numbers which are neither multiple of 7 nor multiple of 3 is ____________.

View Question If $$\int {{{\sin x} \over {{{\sin }^3}x + {{\cos }^3}x}}dx = } $$
$$\alpha {\log _e}|1 + \tan x| + \beta {\log _e}|1 -

View Question A tangent line L is drawn at the point (2, $$-$$4) on the parabola y2 = 8x. If the line L is also tangent to the circle

View Question If $$S = {7 \over 5} + {9 \over {{5^2}}} + {{13} \over {{5^3}}} + {{19} \over {{5^4}}} + ....$$, then 160 S is equal to

View Question The number of elements in the set $$\left\{ {A = \left( {\matrix{
a & b \cr
0 & d \cr
} } \right):a,

View Question If the line y = mx bisects the area enclosed by the lines x = 0, y = 0, x = $${3 \over 2}$$ and the curve y = 1 + 4x $$-

View Question Let B be the centre of the circle x2 + y2 $$-$$ 2x + 4y + 1 = 0. Let the tangents at two points P and Q on the circle in

View Question Let f(x) be a cubic polynomial with f(1) = $$-$$10, f($$-$$1) = 6, and has a local minima at x = 1, and f'(x) has a loca

View Question ## Physics

Four identical hollow cylindrical columns of mild steel support a big structure of mass 50 $$\times$$ 103 kg. The inner

View Question A current of 1.5 A is flowing through a triangle, of side 9 cm each. The magnetic field at the centroid of the triangle

View Question A system consists of two identical spheres each of mass 1.5 kg and radius 50 cm at the end of light rod. The distance be

View Question Statement I :Two forces $$\left( {\overrightarrow P + \overrightarrow Q } \right)$$ and $$\left( {\overrightarrow P -

View Question A free electron of 2.6 eV energy collides with a H+ ion. This results in the formation of a hydrogen atom in the first e

View Question Two thin metallic spherical shells of radii r1 and r2 (r1 < r2) are placed with their centres coinciding. A material

View Question If VA and VB are the input voltages (either 5V or 0V) and V0 is the output voltage then the two gates represented in the

View Question Consider two separate ideal gases of electrons and protons having same number of particles. The temperature of both the

View Question A bob of mass 'm' suspended by a thread of length l undergoes simple harmonic oscillations with time period T. If the bo

View Question Statement : 1If three forces $${\overrightarrow F _1},{\overrightarrow F _2}$$ and $${\overrightarrow F _3}$$ are repres

View Question If velocity [V], time [T] and force [F] are chosen as the base quantities, the dimensions of the mass will be :

View Question The magnetic field vector of an electromagnetic wave is given by $$B = {B_0}{{\widehat i + \widehat j} \over {\sqrt 2 }}

View Question The equivalent resistance of the given circuit between the terminals A and B is :

View Question Choose the incorrect statement :(1) The electric lines of force entering into a Gaussian surface provide negative flux.(

View Question A mixture of hydrogen and oxygen has volume 500 cm3, temperature 300 K, pressure 400 kPa and mass 0.76 g. The ratio of m

View Question A block moving horizontally on a smooth surface with a speed of 40 m/s splits into two parts with masses in the ratio of

View Question A coil is placed in a magnetic field $$\overrightarrow B $$ as shown below :A current is induced in the coil because $$\

View Question For a body executing S.H.M. :(1) Potential energy is always equal to its K.E.(2) Average potential and kinetic energy ov

View Question Statement - I :To get a steady dc output from the pulsating voltage received from a full wave rectifier we can connect a

View Question If RE be the radius of Earth, then the ratio between the acceleration due to gravity at a depth 'r' below and a height '

View Question A bandwidth of 6 MHz is available for A.M. transmission. If the maximum audio signal frequency used for modulating the c

View Question A parallel plate capacitor of capacitance 200 $$\mu$$F is connected to a battery of 200 V. A dielectric slab of dielectr

View Question A long solenoid with 1000 turns/m has a core material with relative permeability 500 and volume 103 cm3. If the core mat

View Question A particle is moving with constant acceleration 'a'. Following graph shows v2 versus x(displacement) plot. The accelerat

View Question In a Young's double slit experiment, the slits are separated by 0.3 mm and the screen is 1.5 m away from the plane of sl

View Question The diameter of a spherical bob is measured using a vernier callipers. 9 divisions of the main scale, in the vernier cal

View Question A sample of gas with $$\gamma$$ = 1.5 is taken through an adiabatic process in which the volume is compressed from 1200

View Question At very high frequencies, the effective impendence of the given circuit will be ________________ $$\Omega$$.

View Question Cross-section view of a prism is the equilateral triangle ABC in the figure. The minimum deviation is observed using thi

View Question A resistor dissipates 192 J of energy in 1s when a current of 4A is passed through it. Now, when the current is doubled,

View Question