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JEE Main 2021 (Online) 1st September Evening Shift

Exam Held on Wed Sep 01 2021 09:30:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

Water sample is called cleanest on the basis of which one of the BOD values give...
Calamine and Malachite, respectively, are the ores of :
Experimentally reducing a functional group cannot be done by which one of the fo...
Which one of the following given graphs represents the variation of rate constan...
Identify A in the following reaction.<br><br> <img src="https://app-content.cdn....
In the following sequence of reactions a compound A, (molecular formula C<sub>6<...
Match List - I with List - II :<br><br> <img src="https://app-content.cdn.examgo...
The Crystal Field Stabilization Energy (CFSE) and magnetic moment (spin-only) of...
Monomer units of Dacron polymer are :
Which one of the following compounds is aromatic in nature?
In the given chemical reaction, colors of the Fe<sup>2+</sup> and Fe<sup>3+</sup...
The stereoisomers that are formed by electrophilic addition of bromine to trans-...
Hydrogen peroxide reacts with iodine in basic medium to give :
In the following sequence of reactions,<br><br><img src="https://app-content.cdn...
Given below are two statements :<br><br>Statement I : The nucleophilic addition ...
Which one of the following gives the most stable Diazonium salt?
The potassium ferrocyanide solution gives a Prussian blue colour, when added to ...
The oxide without nitrogen-nitrogen bond is :
Number of paramagnetic oxides among the following given oxides is ____________.<...
Identify the element for which electronic configuration in +3 oxidation state is...
An empty LPG cylinder weighs 14.8 kg. When full, it weighs 29.0 kg and shows a p...
The molar solubility of Zn(OH)<sub>2</sub> in 0.1 M NaOH solution is x $$\times... For the reaction, 2NO<sub>2</sub>(g)$$\rightleftharpoons$$N<sub>2</sub>O<sub>4... The sum of oxidation states of two silver ions in [Ag(NH<sub>3</sub>)<sub>2</sub... The number of atoms in 8g of sodium is x$$\times$$10<sup>23</sup>. The value o... If 80 g of copper sulphate CuSO<sub>4</sub> . 5H<sub>2</sub>O is dissolved in de... A 50 watt bulb emits monochromatic red light of wavelength of 795 nm. The number... The spin-only magnetic moment value of$$B_2^ + $$species is _____________$$\t...
If the conductivity of mercury at 0$$^\circ$$C is 1.07 $$\times$$ 10<sup>6</sup>...
A peptide synthesized by the reactions of one molecule each of Glycine, Leucine,...

Mathematics

Let f : R $$\to$$ R be a continuous function. Then $$\mathop {\lim }\limits_{x \...$${\cos ^{ - 1}}(\cos ( - 5)) + {\sin ^{ - 1}}(\sin (6)) - {\tan ^{ - 1}}(\tan (...
Consider the system of linear equations<br><br>$$-$$x + y + 2z = 0<br><br>3x $$-... Let the acute angle bisector of the two planes x$$-$$2y$$-$$2z + 1 = 0 and 2... Which of the following is equivalent to the Boolean expression p$$\wedge\s...
Two squares are chosen at random on a chessboard (see figure). The probability t...
If y = y(x) is the solution curve of the differential equation $${x^2}dy + \left... If n is the number of solutions of the equation <br>$$2\cos x\left( {4\sin \left...
The function $$f(x) = {x^3} - 6{x^2} + ax + b$$ is such that $$f(2) = f(4) = 0$$...
Let $${J_{n,m}} = \int\limits_0^{{1 \over 2}} {{{{x^n}} \over {{x^m} - 1}}dx}$$...
The area, enclosed by the curves $$y = \sin x + \cos x$$ and $$y = \left| {\cos ... The distance of line$$3y - 2z - 1 = 0 = 3x - z + 4$$from the point (2,$$-$$1,... Consider the parabola with vertex$$\left( {{1 \over 2},{3 \over 4}} \right)$$a... The numbers of pairs (a, b) of real numbers, such that whenever$$\alpha$$is a ... Let S<sub>n</sub> = 1 . (n$$-$$1) + 2 . (n$$-$$2) + 3 . (n$$-$$3) + ..... ... Let P<sub>1</sub>, P<sub>2</sub>, ......, P<sub>15</sub> be 15 points on a circl... The range of the function, <br><br>$$f(x) = {\log _{\sqrt 5 }}\left( {3 + \cos \...
Let a<sub>1</sub>, a<sub>2</sub>, ..........., a<sub>21</sub> be an AP such that...
The function f(x), that satisfies the condition<br> $$f(x) = x + \int\limits_0^{... Let$$\theta$$be the acute angle between the tangents to the ellipse$${{{x^2}}...
Let X be a random variable with distribution.<br><br><style type="text/css"> .tg...
Let $$f(x) = {x^6} + 2{x^4} + {x^3} + 2x + 3$$, x $$\in$$ R. Then the natural nu...
If for the complex numbers z satisfying | z $$-$$ 2 $$-$$ 2i | $$\le$$ 1, the ma...
Let the points of intersections of the lines x $$-$$ y + 1 = 0, x $$-$$ 2y + 3 =...
Let f(x) be a polynomial of degree 3 such that<br> $$f(k) = - {2 \over k}$$ for...
All the arrangements, with or without meaning, of the word FARMER are written ex...
If the sum of the coefficients in the expansion of (x + y)<sup>n</sup> is 4096, ...
Let $$\overrightarrow a = 2\widehat i - \widehat j + 2\widehat k$$ and $$\overr... Let [t] denote the greatest integer$$\le$$t. The number of points where the fu... A man starts walking from the point P($$-$$3, 4), touches the x-axis at R, and t... Physics A cube is placed inside an electric field,$$\overrightarrow E = 150{y^2}\wideh...
A square loop of side 20 cm and resistance 1$$\Omega$$ is moved towards right wi...
The temperature of an ideal gas in 3-dimensions is 300 K. The corresponding de-B...
A body of mass 'm' dropped from a height 'h' reaches the ground with a speed of ...
The ranges and heights for two projectiles projected with the same initial veloc...
A block of mass m slides on the wooden wedge, which in turn slides backward on t...
Due to cold weather a 1 m water pipe of cross-sectional area 1 cm<sup>2</sup> is...
A student determined Young's Modulus of elasticity using the formula $$Y = {{Mg{... Two resistors R<sub>1</sub> = (4$$\pm$$0.8)$$\Omega$$and R<sub>2</sub> = (4 ... The half life period of radioactive element x is same as the mean life time of a... Following plots show magnetization (M) vs magnetizing field (H) and magnetic sus... A glass tumbler having inner depth of 17.5 cm is kept on a table. A student star... In the given figure, each diode has a forward bias resistance of 30$$\Omega$$an... For the given circuit the current i through the battery when the key in closed a... An object of mass 'm' is being moved with a constant velocity under the action o... A mass of 5 kg is connected to a spring. The potential energy curve of the simpl... A capacitor is connected to a 20 V battery through a resistance of 10$$\Omega$$.... Four particles each of mass M, move along a circle of radius R under the action ... Electric field of plane electromagnetic wave propagating through a non-magnetic ... There are two infinitely long straight current carrying conductors and they are ... The temperature of 3.00 mol of an ideal diatomic gas is increased by 40.0$$^\cir...
The width of one of the two slits in a Young's double slit experiment is three t...
Two satellites revolve around a planet in coplanar circular orbits in anticlockw...
When a body slides down from rest along a smooth inclined plane making an angle ...
The average translational kinetic energy of N<sub>2</sub> gas molecules at ........
A uniform heating wire of resistance 36$$\Omega$$ is connected across a potentia...
A steel rod with y = 2.0 $$\times$$ 10<sup>11</sup> Nm<sup>$$-$$2</sup> and \a...
A 2 kg steel rod of length 0.6 m is clamped on a table vertically at its lower e...
A carrier wave with amplitude of 250 V is amplitude modulated by a sinusoidal ba...
An engine is attached to a wagon through a shock absorber of length 1.5 m. The s...

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