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JEE Main 2021 (Online) 31st August Morning Shift

Exam Held on Tue Aug 31 2021 03:30:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

The correct order of reactivity of the given chlorides with acetate in acetic ac...
Select the graph that correctly describes the adsorption isotherms at two temper...
The major component/ingredient of Portland Cement is :
In the structure of the dichromate ion, there is a :
Which one of the following compounds contains $$\beta$$-C<sub>1</sub>-C<sub>4</s...
The major products A and B in the following set of reactions are :<br><br><img s...
Which one of the following lanthanides exhibits +2 oxidation state with diamagne...
Given below are two statements : one is labelled as Assertion (A) and the other ...
The major product formed in the following reaction is :<br><br><picture><source ...
Monomer of Novolac is :
Given below are two statements :<br><br>Statement I : The process of producing s...
Given below are two statements : one is labelled as Assertion (A) and the other ...
The denticity of an organic ligand, biuret is :
Given below are two statements : one is labelled as Assertion (A) and the other ...
Choose the correct name for compound given below :<br><br><img src="https://imag...
Which one of the following is the correct PV vs P plot at constant temperature f...
Given below are two statements : one is labelled as Assertion (A) and the other ...
Which one of the following 0.10 M aqueous solutions will exhibit the largest fre...
BOD values (in ppm) for clean water (A) and polluted water (B) are expected resp...
The structure of product C, formed by the following sequence of reactions is :<b...
Consider the following cell reaction :<br><br>$$C{d_{(s)}} + H{g_2}S{O_{4(s)}} +...
The molarity of the solution prepared by dissolving 6.3 g of oxalic acid (H<sub>...
Consider the sulphides HgS, PbS, CuS, Sb<sub>2</sub>S<sub>3</sub>, As<sub>2</sub...
The total number of reagents from those given blow, that can convert nitrobenzen...
The number of halogen/(s) forming halic (V) acid is ___________.
For a first order reaction, the ratio of the time for 75% completion of a reacti...
The number of hydrogen bonded water molecule(s) associated with stoichiometry Cu...
According to the following figure, the magnitude of the enthalpy change of the r...
Ge(Z = 32) in its ground state electronic configuration has x completely filled ...
A<sub>3</sub>B<sub>2</sub> is a sparingly soluble salt of molar mass M (g mol<su...

Mathematics

Let *, ▢ $$\in$${$$\wedge$$, $$\vee$$} be such that the Boolean expression (p * ...
The number of real roots of the equation <br><br>$${e^{4x}} + 2{e^{3x}} - {e^x} ...
The sum of 10 terms of the series <br><br>$${3 \over {{1^2} \times {2^2}}} + {5...
Let the equation of the plane, that passes through the point (1, 4, $$-$$3) and ...
Let f be a non-negative function in [0, 1] and twice differentiable in (0, 1). I...
Let $$\overrightarrow a $$ and $$\overrightarrow b $$ be two vectors <br>such th...
The function <br><br>$$f(x) = \left| {{x^2} - 2x - 3} \right|\,.\,{e^{\left| {9{...
Three numbers are in an increasing geometric progression with common ratio r. If...
Which of the following is not correct for relation R on the set of real numbers ...
The integral $$\int {{1 \over {\root 4 \of {{{(x - 1)}^3}{{(x + 2)}^5}} }}} \,dx...
If p and q are the lengths of the perpendiculars from the origin on the lines,<b...
cosec18$$^\circ$$ is a root of the equation :
If the following system of linear equations<br><br>2x + y + z = 5<br><br>x $$-$$...
The length of the latus rectum of a parabola, whose vertex and focus are on the ...
If the function <br>$$f(x) = \left\{ {\matrix{ {{1 \over x}{{\log }_e}\left( ...
If $${{dy} \over {dx}} = {{{2^{x + y}} - {2^x}} \over {{2^y}}}$$, y(0) = 1, then...
$$\mathop {\lim }\limits_{x \to 0} {{{{\sin }^2}\left( {\pi {{\cos }^4}x} \right...
A vertical pole fixed to the horizontal ground is divided in the ratio 3 : 7 by ...
If $${a_r} = \cos {{2r\pi } \over 9} + i\sin {{2r\pi } \over 9}$$, r = 1, 2, 3, ...
The line $$12x\cos \theta + 5y\sin \theta = 60$$ is tangent to which of the fo...
Let [t] denote the greatest integer $$\le$$ t. Then the value of <br/><br/>$$8.\...
A point z moves in the complex plane such that $$\arg \left( {{{z - 2} \over {z ...
The square of the distance of the point of intersection <br><br>of the line $${{...
If 'R' is the least value of 'a' such that the function f(x) = x<sup>2</sup> + a...
The mean of 10 numbers 7 $$\times$$ 8, 10 $$\times$$ 10, 13 $$\times$$ 12, 16 $$...
If the variable line 3x + 4y = $$\alpha$$ lies between the two <br>circles (x $$...
The number of six letter words (with or without meaning), formed using all the l...
If $$x\phi (x) = \int\limits_5^x {(3{t^2} - 2\phi '(t))dt} $$, x &gt; $$-$$2, an...
If $$\left( {{{{3^6}} \over {{4^4}}}} \right)k$$ is the term, independent of x, ...
An electric instrument consists of two units. Each unit must function independen...

Physics

A helicopter is flying horizontally with a speed 'v' at an altitude 'h' has to d...
In the following logic circuit the sequence of the inputs A, B are (0, 0), (0, 1...
Two particles A and B having charges 20$$\mu$$C and $$-$$5$$\mu$$C respectively ...
A reversible engine has an efficiency of $${1 \over 4}$$. If the temperature of ...
An object is placed at the focus of concave lens having focal length f. What is ...
A sample of a radioactive nucleus A disintegrates to another radioactive nucleus...
A coil having N turns is wound tightly in the form of a spiral with inner and ou...
A body of mass M moving at speed V<sub>0</sub> collides elastically with a mass ...
The masses and radii of the earth and moon are (M<sub>1</sub>, R<sub>1</sub>) an...
A small square loop of side 'a' and one turn is placed inside a larger square lo...
Choose the correct waveform that can represent the voltage across R of the follo...
A uniform heavy rod of weight 10 kg ms<sup>$$-$$2</sup>, cross-sectional area 10...
Two plane mirrors M<sub>1</sub> and M<sub>2</sub> are at right angle to each oth...
Match List - I with List - II.<br><br><table> <thead> <tr> <th></th> <...
For an ideal gas the instantaneous change in pressure 'p' with volume 'v' is giv...
Which of the following equations is dimensionally incorrect?<br><br>Where t = ti...
Angular momentum of a single particle moving with constant speed along circular ...
In an ac circuit, an inductor, a capacitor and a resistor are connected in serie...
A moving proton and electron have the same de-Broglie wavelength. If K and P den...
Consider a galvanometer shunted with 5$$\Omega$$ resistance and 2% of current pa...
When a rubber ball is taken to a depth of __________m in deep sea, its volume de...
A particle of mass 1 kg is hanging from a spring of force constant 100 Nm<sup>$$...
If the sum of the heights of transmitting and receiving antennas in the line of ...
A square shaped wire with resistance of each side 3$$\Omega$$ is bent to form a ...
A wire having a linear mass density 9.0 $$\times$$ 10<sup>$$-$$4</sup> kg/m is s...
The voltage drop across 15$$\Omega$$ resistance in the given figure will be ____...
A block moving horizontally on a smooth surface with a speed of 40 ms<sup>$$-$$1...
The electric field in an electromagnetic wave is given by E = (50 NC<sup>$$-$$1<...
A capacitor of 50 $$\mu$$F is connected in a circuit as shown in figure. The cha...
A car is moving on a plane inclined at 30$$^\circ$$ to the horizontal with an ac...

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