JEE Main 2021 (Online) 31st August Morning Shift

Paper was held on
Tue, Aug 31, 2021 3:30 AM

## Chemistry

The correct order of reactivity of the given chlorides with acetate in acetic acid is :

View Question Select the graph that correctly describes the adsorption isotherms at two temperatures T1, and T2 (T1 > T2) for a gas

View Question The major component/ingredient of Portland Cement is :

View Question In the structure of the dichromate ion, there is a :

View Question Which one of the following compounds contains $$\beta$$-C1-C4 glycosidic linkage?

View Question The major products A and B in the following set of reactions are :

View Question Which one of the following lanthanides exhibits +2 oxidation state with diamagnetic nature? (Given Z for Nd = 60, Yb = 7

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 major product formed in the following reaction is :

View Question Monomer of Novolac is :

View Question Given below are two statements :Statement I : The process of producing syn-gas is called gasification of coal.Statement

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 denticity of an organic ligand, biuret 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 Choose the correct name for compound given below :

View Question Which one of the following is the correct PV vs P plot at constant temperature for an ideal gas? (P and V stand for pres

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 Which one of the following 0.10 M aqueous solutions will exhibit the largest freezing point depression?

View Question BOD values (in ppm) for clean water (A) and polluted water (B) are expected respectively :

View Question The structure of product C, formed by the following sequence of reactions is :

View Question Consider the following cell reaction :$$C{d_{(s)}} + H{g_2}S{O_{4(s)}} + {9 \over 5}{H_2}{O_{(l)}}$$ $$\rightleftharpoon

View Question The molarity of the solution prepared by dissolving 6.3 g of oxalic acid (H2C2O4.2H2O) in 250 mL of water in mol L$$-$$1

View Question Consider the sulphides HgS, PbS, CuS, Sb2S3, As2S3 and CdS. Number of these sulphides soluble in 50% HNO3 is ___________

View Question The total number of reagents from those given blow, that can convert nitrobenzene into aniline is ___________. (Integer

View Question The number of halogen/(s) forming halic (V) acid is ___________.

View Question For a first order reaction, the ratio of the time for 75% completion of a reaction to the time for 50% completion is ___

View Question The number of hydrogen bonded water molecule(s) associated with stoichiometry CuSO4.5H2O is ____________.

View Question According to the following figure, the magnitude of the enthalpy change of the reactionA + B $$\to$$ M + N in kJ mol$$-$

View Question Ge(Z = 32) in its ground state electronic configuration has x completely filled orbitals with ml = 0. The value of x is

View Question A3B2 is a sparingly soluble salt of molar mass M (g mol$$-$$1) and solubility x g L$$-$$1. The solubility product satisf

View Question ## Mathematics

Let *, ▢ $$\in$${$$\wedge$$, $$\vee$$} be such that the Boolean expression (p * $$\sim$$ q) $$\Rightarrow$$ (p ▢ q) is a

View Question The number of real roots of the equation $${e^{4x}} + 2{e^{3x}} - {e^x} - 6 = 0$$ is :

View Question The sum of 10 terms of the series
$${3 \over {{1^2} \times {2^2}}} + {5 \over {{2^2} \times {3^2}}} + {7 \over {{3^2} \

View Question Let the equation of the plane, that passes through the point (1, 4, $$-$$3) and contains the line of intersection of the

View Question Let f be a non-negative function in [0, 1] and twice differentiable in (0, 1). If $$\int_0^x {\sqrt {1 - {{(f'(t))}^2}}

View Question Let $$\overrightarrow a $$ and $$\overrightarrow b $$ be two vectors such that $$\left| {2\overrightarrow a + 3\overrig

View Question The function $$f(x) = \left| {{x^2} - 2x - 3} \right|\,.\,{e^{\left| {9{x^2} - 12x + 4} \right|}}$$ is not differentiabl

View Question Three numbers are in an increasing geometric progression with common ratio r. If the middle number is doubled, then the

View Question Which of the following is not correct for relation R on the set of real numbers ?

View Question The integral $$\int {{1 \over {\root 4 \of {{{(x - 1)}^3}{{(x + 2)}^5}} }}} \,dx$$ is equal to : (where C is a constant

View Question If p and q are the lengths of the perpendiculars from the origin on the lines,x cosec $$\alpha$$ $$-$$ y sec $$\alpha$$

View Question cosec18$$^\circ$$ is a root of the equation :

View Question If the following system of linear equations2x + y + z = 5x $$-$$ y + z = 3x + y + az = bhas no solution, then :

View Question The length of the latus rectum of a parabola, whose vertex and focus are on the positive x-axis at a distance R and S (&

View Question If the function $$f(x) = \left\{ {\matrix{
{{1 \over x}{{\log }_e}\left( {{{1 + {x \over a}} \over {1 - {x \over b}}}

View Question If $${{dy} \over {dx}} = {{{2^{x + y}} - {2^x}} \over {{2^y}}}$$, y(0) = 1, then y(1) is equal to :

View Question $$\mathop {\lim }\limits_{x \to 0} {{{{\sin }^2}\left( {\pi {{\cos }^4}x} \right)} \over {{x^4}}}$$ is equal to :

View Question A vertical pole fixed to the horizontal ground is divided in the ratio 3 : 7 by a mark on it with lower part shorter tha

View Question If $${a_r} = \cos {{2r\pi } \over 9} + i\sin {{2r\pi } \over 9}$$, r = 1, 2, 3, ....., i = $$\sqrt { - 1} $$, then the d

View Question The line $$12x\cos \theta + 5y\sin \theta = 60$$ is tangent to which of the following curves?

View Question Let [t] denote the greatest integer $$\le$$ t. Then the value of $$8.\int\limits_{ - {1 \over 2}}^1 {([2x] + |x|)dx} $$

View Question A point z moves in the complex plane such that $$\arg \left( {{{z - 2} \over {z + 2}}} \right) = {\pi \over 4}$$, then

View Question The square of the distance of the point of intersection of the line $${{x - 1} \over 2} = {{y - 2} \over 3} = {{z + 1} \

View Question If 'R' is the least value of 'a' such that the function f(x) = x2 + ax + 1 is increasing on [1, 2] and 'S' is the greate

View Question The mean of 10 numbers 7 $$\times$$ 8, 10 $$\times$$ 10, 13 $$\times$$ 12, 16 $$\times$$ 14, ....... is ____________.

View Question If the variable line 3x + 4y = $$\alpha$$ lies between the two circles (x $$-$$ 1)2 + (y $$-$$ 1)2 = 1 and (x $$-$$ 9)2

View Question The number of six letter words (with or without meaning), formed using all the letters of the word 'VOWELS', so that all

View Question If $$x\phi (x) = \int\limits_5^x {(3{t^2} - 2\phi '(t))dt} $$, x > $$-$$2, and $$\phi$$(0) = 4, then $$\phi$$(2) is _

View Question If $$\left( {{{{3^6}} \over {{4^4}}}} \right)k$$ is the term, independent of x, in the binomial expansion of $${\left( {

View Question An electric instrument consists of two units. Each unit must function independently for the instrument to operate. The p

View Question ## Physics

A helicopter is flying horizontally with a speed 'v' at an altitude 'h' has to drop a food packet for a man on the groun

View Question In the following logic circuit the sequence of the inputs A, B are (0, 0), (0, 1), (1, 0) and (1, 1). The output Y for t

View Question Two particles A and B having charges 20$$\mu$$C and $$-$$5$$\mu$$C respectively are held fixed with a separation of 5 cm

View Question A reversible engine has an efficiency of $${1 \over 4}$$. If the temperature of the sink is reduced by 58$$^\circ$$C, it

View Question An object is placed at the focus of concave lens having focal length f. What is the magnification and distance of the im

View Question A sample of a radioactive nucleus A disintegrates to another radioactive nucleus B, which in turn disintegrates to some

View Question A coil having N turns is wound tightly in the form of a spiral with inner and outer radii 'a' and 'b' respectively. Find

View Question A body of mass M moving at speed V0 collides elastically with a mass 'm' at rest. After the collision, the two masses mo

View Question The masses and radii of the earth and moon are (M1, R1) and (M2, R2) respectively. Their centres are at a distance 'r' a

View Question A small square loop of side 'a' and one turn is placed inside a larger square loop of side b and one turn (b >> a)

View Question Choose the correct waveform that can represent the voltage across R of the following circuit, assuming the diode is idea

View Question A uniform heavy rod of weight 10 kg ms$$-$$2, cross-sectional area 100 cm2 and length 20 cm is hanging from a fixed supp

View Question Two plane mirrors M1 and M2 are at right angle to each other shown. A point source 'P' is placed at 'a' and '2a' meter a

View Question Match List - I with List - II.
List - I
List - II
(a)
Torque
(i)
MLT$$^{ -

View Question For an ideal gas the instantaneous change in pressure 'p' with volume 'v' is given by the equation $${{dp} \over {dv}} =

View Question Which of the following equations is dimensionally incorrect?Where t = time, h = height, s = surface tension, $$\theta$$

View Question Angular momentum of a single particle moving with constant speed along circular path :

View Question In an ac circuit, an inductor, a capacitor and a resistor are connected in series with XL = R = XC. Impedance of this ci

View Question A moving proton and electron have the same de-Broglie wavelength. If K and P denote the K.E. and momentum respectively.

View Question Consider a galvanometer shunted with 5$$\Omega$$ resistance and 2% of current passes through it. What is the resistance

View Question When a rubber ball is taken to a depth of __________m in deep sea, its volume decreases by 0.5%. (The bulk modulus of ru

View Question A particle of mass 1 kg is hanging from a spring of force constant 100 Nm$$-$$1. The mass is pulled slightly downward an

View Question If the sum of the heights of transmitting and receiving antennas in the line of sight of communication is fixed at 160 m

View Question A square shaped wire with resistance of each side 3$$\Omega$$ is bent to form a complete circle. The resistance between

View Question A wire having a linear mass density 9.0 $$\times$$ 10$$-$$4 kg/m is stretched between two rigid supports with a tension

View Question The voltage drop across 15$$\Omega$$ resistance in the given figure will be ______________ V.

View Question A block moving horizontally on a smooth surface with a speed of 40 ms$$-$$1 splits into two equal parts. If one of the p

View Question The electric field in an electromagnetic wave is given by E = (50 NC$$-$$1) sin$$\omega$$ (t $$-$$ x/c)The energy contai

View Question A capacitor of 50 $$\mu$$F is connected in a circuit as shown in figure. The charge on the upper plate of the capacitor

View Question A car is moving on a plane inclined at 30$$^\circ$$ to the horizontal with an acceleration of 10 ms$$-$$2 parallel to th

View Question