JEE Main 2021 (Online) 26th August Evening Shift
Paper was held on Thu, Aug 26, 2021 9:30 AM
View Questions

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
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
CBSE
Class 12