JEE Main 2021 (Online) 26th August Evening Shift

Paper was held on
Thu, Aug 26, 2021 9:30 AM

## Chemistry

Which one of the following phenols does not give colour when condensed with phthalic anhydride in presence of conc. H2SO

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 interaction energy of London forces between two particles is proportional to rx, where r is the distance between the

View Question The number of non-ionisable hydrogen atoms present in the final product obtained from the hydrolysis of PCl5 is :

View Question The bond order and magnetic behaviour of $$O_2^ - $$ ion are respectively :

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

View Question Match List - I with List - II :Choose the most appropriate match :

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 in the above reaction is :

View Question Indicate the complex/complex ion which did not show any geometrical isomerism :

View Question The sol given below with negatively charged colloidal particles is :

View Question Given below are two statements :Statement I : Sphalerite is a sulphide or of zinc and copper glance is a sulphide ore of

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 Arrange the following Cobalt complexes in the order of increasing Crystal Field Stabilization Energy (CFSE) value.Comple

View Question The class of drug to which chlordiazepoxide with above structure belongs is :

View Question Chalcogen group elements are :

View Question Which one of the following compounds is not aromatic?

View Question The number of stereoisomers possible for 1, 2-dimethyl cyclopropane is :

View Question Consider the given reaction, identify 'X' and 'Y' :

View Question Consider the given reaction, the product A is :

View Question In the sulphur estimation, 0.471 g of an organic compound gave 1.44 g of barium sulphate. The percentage of sulphur in t

View Question The equilibrium constant Kc at 298 K for the reaction A + B $$\rightleftharpoons$$ C + D is 100. Starting with an equimo

View Question For water $$\Delta$$vap H = 41 kJ mol$$-$$1 at 373 K and 1 bar pressure. Assuming that water vapour is an ideal gas that

View Question A metal surface is exposed to 500 nm radiation. The threshold frequency of the metal for photoelectric current is 4.3 $$

View Question For the galvanic cell,Zn(s) + Cu2+ (0.02 M) $$\to$$ Zn2+ (0.04 M) + Cu(s),Ecell = ______________ $$\times$$ 10$$-$$2 V.

View Question 100 mL of Na3PO4 solution contains 3.45 g of sodium. The molarity of the solution is _____________ $$\times$$ 10$$-$$2 m

View Question The overall stability constant of the complex ion [Cu(NH3)4]2+ is 2.1 $$\times$$ 1013. The overall dissociations constan

View Question 83 g of ethylene glycol dissolved in 625 g of water. The freezing point of the solution is ____________ K. (Nearest inte

View Question The reaction rate for the reaction[PtCl4]2$$-$$ + H2O $$\rightleftharpoons$$ [Pt(H2O)Cl3]$$-$$ + Cl$$-$$was measured as

View Question A chloro compound "A".(i) forms aldehydes on ozonolysis followed by the hydrolysis.(ii) when vaporized completely 1.53 g

View Question ## Mathematics

Let [t] denote the greatest integer less than or equal to t. Let f(x) = x $$-$$ [x], g(x) = 1 $$-$$ x + [x], and h(x) =

View Question Let $$A = \left( {\matrix{
1 & 0 & 0 \cr
0 & 1 & 1 \cr
1 & 0 & 0 \cr
} } \right

View Question The local maximum value of the function $$f(x) = {\left( {{2 \over x}} \right)^{{x^2}}}$$, x > 0, is

View Question If the value of the integral $$\int\limits_0^5 {{{x + [x]} \over {{e^{x - [x]}}}}dx = \alpha {e^{ - 1}} + \beta } $$, wh

View Question The point $$P\left( { - 2\sqrt 6 ,\sqrt 3 } \right)$$ lies on the hyperbola $${{{x^2}} \over {{a^2}}} - {{{y^2}} \over {

View Question Let y(x) be the solution of the differential equation 2x2 dy + (ey $$-$$ 2x)dx = 0, x > 0. If y(e) = 1, then y(1) is

View Question Consider the two statements :(S1) : (p $$\to$$ q) $$ \vee $$ ($$ \sim $$ q $$\to$$ p) is a tautology .(S2) : (p $$ \wedg

View Question The domain of the function $${{\mathop{\rm cosec}\nolimits} ^{ - 1}}\left( {{{1 + x} \over x}} \right)$$ is :

View Question A fair die is tossed until six is obtained on it. Let x be the number of required tosses, then the conditional probabili

View Question If $$\sum\limits_{r = 1}^{50} {{{\tan }^{ - 1}}{1 \over {2{r^2}}} = p} $$, then the value of tan p is :

View Question Two fair dice are thrown. The numbers on them are taken as $$\lambda$$ and $$\mu$$, and a system of linear equationsx +

View Question The locus of the mid points of the chords of the hyperbola x2 $$-$$ y2 = 4, which touch the parabola y2 = 8x, is :

View Question The value of $$2\sin \left( {{\pi \over 8}} \right)\sin \left( {{{2\pi } \over 8}} \right)\sin \left( {{{3\pi } \over 8

View Question If $${\left( {\sqrt 3 + i} \right)^{100}} = {2^{99}}(p + iq)$$, then p and q are roots of the equation :

View Question A hall has a square floor of dimension 10 m $$\times$$ 10 m (see the figure) and vertical walls. If the angle GPH betwee

View Question Let P be the plane passing through the point (1, 2, 3) and the line of intersection of the planes $$\overrightarrow r \,

View Question A 10 inches long pencil AB with mid point C and a small eraser P are placed on the horizontal top of a table such that P

View Question The value of $$\int\limits_{ - {\pi \over 2}}^{{\pi \over 2}} {\left( {{{1 + {{\sin }^2}x} \over {1 + {\pi ^{\sin x}}}

View Question A circle C touches the line x = 2y at the point (2, 1) and intersects the circle C1 : x2 + y2 + 2y $$-$$ 5 = 0 at two po

View Question $$\mathop {\lim }\limits_{x \to 2} \left( {\sum\limits_{n = 1}^9 {{x \over {n(n + 1){x^2} + 2(2n + 1)x + 4}}} } \right)$

View Question The sum of all 3-digit numbers less than or equal to 500, that are formed without using the digit "1" and they all are m

View Question Let a and b respectively be the points of local maximum and local minimum of the function f(x) = 2x3 $$-$$ 3x2 $$-$$ 12x

View Question If the projection of the vector $$\widehat i + 2\widehat j + \widehat k$$ on the sum of the two vectors $$2\widehat i +

View Question Let a1, a2, ......., a10 be an AP with common difference $$-$$ 3 and b1, b2, ........., b10 be a GP with common ratio 2.

View Question Let Q be the foot of the perpendicular from the point P(7, $$-$$2, 13) on the plane containing the lines $${{x + 1} \ove

View Question Let $$\left( {\matrix{
n \cr
k \cr
} } \right)$$ denotes $${}^n{C_k}$$ and $$\left[ {\matrix{
n \cr

View Question Let $$\lambda$$ $$\ne$$ 0 be in R. If $$\alpha$$ and $$\beta$$ are the roots of the equation x2 $$-$$ x + 2$$\lambda$$ =

View Question Let the mean and variance of four numbers 3, 7, x and y(x > y) be 5 and 10 respectively. Then the mean of four number

View Question Let A be a 3 $$\times$$ 3 real matrix. If det(2Adj(2 Adj(Adj(2A)))) = 241, then the value of det(A2) equal __________.

View Question The least positive integer n such that $${{{{(2i)}^n}} \over {{{(1 - i)}^{n - 2}}}},i = \sqrt { - 1} $$ is a positive in

View Question ## Physics

The temperature of equal masses of three different liquids x, y and z are 10$$^\circ$$C, 20$$^\circ$$C and 30$$^\circ$$C

View Question The de-Broglie wavelength of a particle having kinetic energy E is $$\lambda$$. How much extra energy must be given to t

View Question A particle of mass m is suspended from a ceiling through a string of length L. The particle moves in a horizontal circle

View Question A cylindrical container of volume 4.0 $$\times$$ 10$$-$$3 m3 contains one mole of hydrogen and two moles of carbon dioxi

View Question The angle between vector $$\left( {\overrightarrow A } \right)$$ and $$\left( {\overrightarrow A - \overrightarrow B }

View Question A light beam is described by $$E = 800\sin \omega \left( {t - {x \over c}} \right)$$. An electron is allowed to move nor

View Question The two thin coaxial rings, each of radius 'a' and having charges +Q and $$-$$Q respectively are separated by a distance

View Question If you are provided a set of resistances 2$$\Omega$$, 4$$\Omega$$, 6$$\Omega$$ and 8$$\Omega$$. Connect these resistance

View Question The solid cylinder of length 80 cm and mass M has a radius of 20 cm. Calculate the density of the material used if the m

View Question A parallel plate capacitor with plate area A has separation d between the plates. Two dielectric slabs of dielectric con

View Question A bomb is dropped by fighter plane flying horizontally. To an observer sitting in the plane, the trajectory of the bomb

View Question At time t = 0, a material is composed of two radioactive atoms A and B, where NA(0) = 2NB(0). The decay constant of both

View Question A transmitting antenna at top of a tower has a height of 50 m and the height of receiving antenna is 80 m. What is range

View Question A refrigerator consumes an average 35W power to operate between temperature $$-$$10$$^\circ$$C to 25$$^\circ$$C. If ther

View Question An electric bulb of 500 watt at 100 volt is used in a circuit having a 200 V supply. Calculate the resistance R to be co

View Question Four NOR gates are connected as shown in figure. The truth table for the given figure is :

View Question Match List - I with List - II Choose the most appropriate answer from the options given below :

View Question In the given circuit the AC source has $$\omega$$ = 100 rad s-1. Considering the inductor and capacitor to be ideal, wha

View Question If the length of the pendulum in pendulum clock increases by 0.1%, then the error in time per day is :

View Question Two blocks of masses 3 kg and 5 kg are connected by a metal wire going over a smooth pulley. The breaking stress of the

View Question Two waves are simultaneously passing through a string and their equations are : y1 = A1 sin k(x $$-$$ vt), y2 = A2 sin k

View Question A source of light is placed in front of a screen. Intensity of light on the screen is I. Two Polaroids P1 and P2 are so

View Question If the maximum value of accelerating potential provided by a ratio frequency oscillator is 12 kV. The number of revoluti

View Question The acceleration due to gravity is found upto an accuracy of 4% on a planet. The energy supplied to a simple pendulum to

View Question A circular coil of radius 8.0 cm and 20 turns is rotated about its vertical diameter with an angular speed of 50 rad s$$

View Question Two simple harmonic motions are represented by the equations $${x_1} = 5\sin \left( {2\pi t + {\pi \over 4}} \right)$$

View Question A coil in the shape of an equilateral triangle of side 10 cm lies in a vertical plane between the pole pieces of permane

View Question For the given circuit, the power across Zener diode is .............. mW.

View Question An object is placed at a distance of 12 cm from a convex lens. A convex mirror of focal length 15 cm is placed on other

View Question The coefficient of static friction between two blocks is 0.5 and the table is smooth. The maximum horizontal force that

View Question