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JEE Main 2021 (Online) 31st August Evening Shift

Exam Held on Tue Aug 31 2021 09:30:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

Arrange the following conformational isomers of n-butane in order of their incre...
The Eu<sup>2+</sup> ion is a strong reducing agent in spite of its ground state ...
The structures A and B formed in the following reaction are : [Ph = $$-$$C<sub>6...
In which one of the following sets all species show disproportionation reaction?...
Match List - I with List - II<br><br><table> <thead> <tr> <th></th> <t...
The major products A and B formed in the following reaction sequence are :<br><b...
Which of the following is not an example of fibrous protein?
The deposition of X and Y on ground surfaces is referred as wet and dry depositi...
For the reaction given below :-<br><br><img src="https://imagex.cdn.examgoal.net...
Spin only magnetic moment in BM of [Fe(CO)<sub>4</sub>(C<sub>2</sub>O<sub>4</sub...
Given below are two statements : one is labelled as Assertion (A) and the other ...
The incorrect expression among the following is :
Which one of the following statements is incorrect?
Which among the following is not a polyester?
Which one of the following correctly represents the order of stability of oxides...
Match List - I with List - II :<br><br><table> <thead> <tr> <th></th> ...
The major product of the following reaction is :<br><br><img src="https://imagex...
For the following sequence of reactions, the correct products are :<br><br><img ...
Identify correct A, B and C in the reaction sequence given below :<br><br><pictu...
The number of S = O bonds present in sulphurous acid, peroxodisulphuric acid and...
CH<sub>4</sub> is absorbed on 1g charcoal at 0$$^\circ$$C following the Freundli...
1.22 g of an organic acid is separately dissolved in 100 g of benzene (K<sub>b</...
The value of magnetic quantum number of the outermost electron of Zn<sup>+</sup>...
The empirical formula for a compound with a cubic close packed arrangement of an...
In the electrolytic refining of blister copper, the total number of main impurit...
The pH of a solution obtained by mixing 50 mL of 1 M HCl and 30 mL of 1 M NaOH i...
For the reaction A $$\to$$ B, the rate constant k(in s<sup>$$-$$1</sup>) is give...
Sodium oxide reacts with water to produce sodium hydroxide. 20.0 g of sodium oxi...
According to molecular orbital theory, the number of unpaired electron(s) in $$O... The transformation occurring in Duma's method is given below :<br><br>$${C_2}{H_...

Mathematics

If $$\alpha$$ + $$\beta$$ + $$\gamma$$ = 2$$\pi$$, then the system of equations ...
Let $$\overrightarrow a ,\overrightarrow b ,\overrightarrow c$$ three vectors m...
The domain of the function<br><br>$$f(x) = {\sin ^{ - 1}}\left( {{{3{x^2} + x - ... Let S = {1, 2, 3, 4, 5, 6}. Then the probability that a randomly chosen onto fun... Let f : N$$\to$$N be a function such that f(m + n) = f(m) + f(n) for every m, ... The distance of the point ($$-$$1, 2,$$-$$2) from the line of intersection of t... Negation of the statement (p$$\vee$$r)$$\Rightarrow$$(q$$\vee$$r) is : If$$\alpha = \mathop {\lim }\limits_{x \to {\pi \over 4}} {{{{\tan }^3}x - \t...
The locus of mid-points of the line segments joining ($$-$$3, $$-$$5) and the po...
If $${{dy} \over {dx}} = {{{2^x}y + {2^y}{{.2}^x}} \over {{2^x} + {2^{x + y}}{{\... An angle of intersection of the curves,$${{{x^2}} \over {{a^2}}} + {{{y^2}} \ov...
If $$y{{dy} \over {dx}} = x\left[ {{{{y^2}} \over {{x^2}}} + {{\phi \left( {{{{y... The sum of the roots of the equation <br><br>$$x + 1 - 2{\log _2}(3 + {2^x}) + 2...
If z is a complex number such that $${{z - i} \over {z - 1}}$$ is purely imagina...
Let a<sub>1</sub>, a<sub>2</sub>, a<sub>3</sub>, ..... be an A.P. If $${{{a_1} +... Let A be the set of all points ($$\alpha$$,$$\beta$$) such that the area of tri... The number of solutions of the equation$${32^{{{\tan }^2}x}} + {32^{{{\sec }^2}...
Let f be any continuous function on [0, 2] and twice differentiable on (0, 2). I...
If [x] is the greatest integer $$\le$$ x, then <br><br>$${\pi ^2}\int\limits_0^2... The mean and variance of 7 observations are 8 and 16 respectively. If two observ... If the coefficient of a<sup>7</sup>b<sup>8</sup> in the expansion of (a + 2b + 4... Suppose the line$${{x - 2} \over \alpha } = {{y - 2} \over { - 5}} = {{z + 2} \...
The number of 4-digit numbers which are neither multiple of 7 nor multiple of 3 ...
If $$\int {{{\sin x} \over {{{\sin }^3}x + {{\cos }^3}x}}dx = }$$ <br><br>$$\a... A tangent line L is drawn at the point (2,$$-$$4) on the parabola y<sup>2</sup>... If$$S = {7 \over 5} + {9 \over {{5^2}}} + {{13} \over {{5^3}}} + {{19} \over {{...
The number of elements in the set $$\left\{ {A = \left( {\matrix{ a &amp; b ... If the line y = mx bisects the area enclosed by the lines x = 0, y = 0, x =$${3...
Let B be the centre of the circle x<sup>2</sup> + y<sup>2</sup> $$-$$ 2x + 4y + ...
Let f(x) be a cubic polynomial with f(1) = $$-$$10, f($$-$$1) = 6, and has a loc...

Physics

Four identical hollow cylindrical columns of mild steel support a big structure ...
A current of 1.5 A is flowing through a triangle, of side 9 cm each. The magneti...
A system consists of two identical spheres each of mass 1.5 kg and radius 50 cm ...
Statement I :<br><br>Two forces $$\left( {\overrightarrow P + \overrightarrow Q... A free electron of 2.6 eV energy collides with a H<sup>+</sup> ion. This results... Two thin metallic spherical shells of radii r<sub>1</sub> and r<sub>2</sub> (r<s... If V<sub>A</sub> and V<sub>B</sub> are the input voltages (either 5V or 0V) and ... Consider two separate ideal gases of electrons and protons having same number of... A bob of mass 'm' suspended by a thread of length l undergoes simple harmonic os... Statement : 1<br><br>If three forces$${\overrightarrow F _1},{\overrightarrow F...
If velocity [V], time [T] and force [F] are chosen as the base quantities, the d...
The magnetic field vector of an electromagnetic wave is given by $$B = {B_0}{{\w... The equivalent resistance of the given circuit between the terminals A and B is ... Choose the incorrect statement :<br><br>(1) The electric lines of force entering... A mixture of hydrogen and oxygen has volume 500 cm<sup>3</sup>, temperature 300 ... A block moving horizontally on a smooth surface with a speed of 40 m/s splits in... A coil is placed in a magnetic field$$\overrightarrow B $$as shown below :<br>... For a body executing S.H.M. :<br><br>(1) Potential energy is always equal to its... Statement - I :<br><br>To get a steady dc output from the pulsating voltage rece... If R<sub>E</sub> be the radius of Earth, then the ratio between the acceleration... A bandwidth of 6 MHz is available for A.M. transmission. If the maximum audio si... A parallel plate capacitor of capacitance 200$$\mu$$F is connected to a battery... A long solenoid with 1000 turns/m has a core material with relative permeability... A particle is moving with constant acceleration 'a'. Following graph shows v<sup... In a Young's double slit experiment, the slits are separated by 0.3 mm and the s... The diameter of a spherical bob is measured using a vernier callipers. 9 divisio... A sample of gas with$$\gamma = 1.5 is taken through an adiabatic process in w...
At very high frequencies, the effective impendence of the given circuit will be ...
Cross-section view of a prism is the equilateral triangle ABC in the figure. The...
A resistor dissipates 192 J of energy in 1s when a current of 4A is passed throu...

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