JEE Main 2023 (Online) 29th January Morning Shift

Paper was held on
Sun, Jan 29, 2023 3:30 AM

## Chemistry

The major product 'P' for the following sequence of reactions is :

View Question The magnetic behaviour of $$\mathrm{Li_2O,Na_2O_2}$$ and $$\mathrm{KO_2}$$, respectively, are :

View Question Compound that will give positive Lassaigne's test for both nitrogen and halogen is :

View Question Match List I with List II.
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View Question The correct order of hydration enthalpies is
(A) K$$^+$$
(B) Rb$$^+$$
(C) Mg$$^{2+}$$
(D) Cs$$^+$$
(E) Ca$$^{2+}$$
Choos

View Question Correct statement about smog is :

View Question Identify the correct order for the given property for following compounds.
Choose the correct answer from the option gi

View Question The bond dissociation energy is highest for

View Question During the borax bead test with $$\mathrm{CuSO_4}$$, a blue green colour of the bead was observed in oxidising flame due

View Question Number of cyclic tripeptides formed with 2 amino acids A and B is :

View Question The shortest wavelength of hydrogen atom in Lyman series is $$\lambda$$. The longest wavelength is Balmer series of He$$

View Question Which of the given compounds can enhance the efficiency of hydrogen storage tank?

View Question Match List I with List II
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View Question The increasing order of $$\mathrm{pK_a}$$ for the following phenols is
(A) 2, 4 - Dinitrophenol
(B) 4 - Nitrophenol
(C)

View Question "A" obtained by Ostwald's method involving air oxidation of NH$$_3$$, upon further air oxidation produces "B", "B" on hy

View Question Which of the following salt solutions would coagulate the colloid solution formed when $$\mathrm{FeCl_3}$$ is added to $

View Question For 1 mol of gas, the plot of pV vs. p is shown below. p is the pressure and V is the volume of the gas
What is the val

View Question Chiral complex from the following is :
Here en = ethylene diamine

View Question The standard electrode potential $$\mathrm{(M^{3+}/M^{2+})}$$ for V, Cr, Mn & Co are $$-$$0.26 V, $$-$$0.41 V, + 1.57 V

View Question The reaction representing the Mond process for metal refining is _________.

View Question Following chromatogram was developed by adsorption of compound 'A' on a 6 cm TLC glass plate. Retardation factor of the

View Question Millimoles of calcium hydroxide required to produce 100 mL of the aqueous solution of pH 12 is $$x\times10^{-1}$$. The v

View Question For certain chemical reaction $$X\to Y$$, the rate of formation of product is plotted against the time as shown in the f

View Question The number of molecules or ions from the following, which do not have odd number of electrons are _________.
(A) NO$$_2$

View Question Following figure shows dependence of molar conductance of two electrolytes on concentration. $$\Lambda \mathop m\limits^

View Question Solid Lead nitrate is dissolved in 1 litre of water. The solution was found to boil at 100.15$$^\circ$$C. When 0.2 mol o

View Question Water decomposes at 2300 K
$$\mathrm{H_2O(g)\to H_2(g)+\frac{1}{2}O_2(g)}$$
The percent of water decomposing at 2300 K a

View Question Consider the following reaction approaching equilibrium at 27$$^\circ$$C and 1 atm pressure
$$\mathrm{A+B}$$ $$\mathrel{

View Question The sum of bridging carbonyls in $$\mathrm{W(CO)_6}$$ and $$\mathrm{Mn_2(CO)_{10}}$$ is ____________.

View Question 17 mg of a hydrocarbon (M.F. $$\mathrm{C_{10}H_{16}}$$) takes up 8.40 mL of the H$$_2$$ gas measured at 0$$^\circ$$C and

View Question ## Mathematics

Let $$\lambda \ne 0$$ be a real number. Let $$\alpha,\beta$$ be the roots of the equation $$14{x^2} - 31x + 3\lambda =

View Question Let $$B$$ and $$C$$ be the two points on the line $$y+x=0$$ such that $$B$$ and $$C$$ are symmetric with respect to the

View Question Three rotten apples are mixed accidently with seven good apples and four apples are drawn one by one without replacement

View Question Let $$f(\theta ) = 3\left( {{{\sin }^4}\left( {{{3\pi } \over 2} - \theta } \right) + {{\sin }^4}(3\pi + \theta )} \rig

View Question Fifteen football players of a club-team are given 15 T-shirts with their names written on the backside. If the players p

View Question Let the tangents at the points $$A(4,-11)$$ and $$B(8,-5)$$ on the circle $$x^{2}+y^{2}-3 x+10 y-15=0$$, intersect at th

View Question Let $$f(x) = x + {a \over {{\pi ^2} - 4}}\sin x + {b \over {{\pi ^2} - 4}}\cos x,x \in R$$ be a function which satisfies

View Question Let $$\alpha$$ and $$\beta$$ be real numbers. Consider a 3 $$\times$$ 3 matrix A such that $$A^2=3A+\alpha I$$. If $$A^4

View Question A light ray emits from the origin making an angle 30$$^\circ$$ with the positive $$x$$-axis. After getting reflected by

View Question For two non-zero complex numbers $$z_{1}$$ and $$z_{2}$$, if $$\operatorname{Re}\left(z_{1} z_{2}\right)=0$$ and $$\oper

View Question Let $$y=f(x)$$ be the solution of the differential equation $$y(x+1)dx-x^2dy=0,y(1)=e$$. Then $$\mathop {\lim }\limits_{

View Question Let $$\Delta$$ be the area of the region $$\left\{ {(x,y) \in {R^2}:{x^2} + {y^2} \le 21,{y^2} \le 4x,x \ge 1} \right\}$

View Question If $$p,q$$ and $$r$$ are three propositions, then which of the following combination of truth values of $$p,q$$ and $$r$

View Question The domain of $$f(x) = {{{{\log }_{(x + 1)}}(x - 2)} \over {{e^{2{{\log }_e}x}} - (2x + 3)}},x \in \mathbb{R}$$ is

View Question Let $$f:R \to R$$ be a function such that $$f(x) = {{{x^2} + 2x + 1} \over {{x^2} + 1}}$$. Then

View Question Let $$[x]$$ denote the greatest integer $$\le x$$. Consider the function $$f(x) = \max \left\{ {{x^2},1 + [x]} \right\}$

View Question Let $$A=\left\{(x, y) \in \mathbb{R}^{2}: y \geq 0,2 x \leq y \leq \sqrt{4-(x-1)^{2}}\right\}$$ and $$
B=\left\{(x, y) \

View Question Consider the following system of equations
$$\alpha x+2y+z=1$$
$$2\alpha x+3y+z=1$$
$$3x+\alpha y+2z=\beta$$
for some $$

View Question If the vectors $$\overrightarrow a = \lambda \widehat i + \mu \widehat j + 4\widehat k$$, $$\overrightarrow b = - 2\w

View Question Let $$x=2$$ be a root of the equation $$x^2+px+q=0$$ and $$f(x) = \left\{ {\matrix{
{{{1 - \cos ({x^2} - 4px + {q^2}

View Question Let the equation of the plane P containing the line $$x+10=\frac{8-y}{2}=z$$ be $$ax+by+3z=2(a+b)$$ and the distance of

View Question Let $$a_1,a_2,a_3,...$$ be a $$GP$$ of increasing positive numbers. If the product of fourth and sixth terms is 9 and th

View Question Suppose $$f$$ is a function satisfying $$f(x + y) = f(x) + f(y)$$ for all $$x,y \in N$$ and $$f(1) = {1 \over 5}$$. If $

View Question Let the coefficients of three consecutive terms in the binomial expansion of $$(1+2x)^n$$ be in the ratio 2 : 5 : 8. The

View Question If the co-efficient of $$x^9$$ in $${\left( {\alpha {x^3} + {1 \over {\beta x}}} \right)^{11}}$$ and the co-efficient of

View Question If all the six digit numbers $$x_1\,x_2\,x_3\,x_4\,x_5\,x_6$$ with $$0

View Question Let $$f:\mathbb{R}\to\mathbb{R}$$ be a differentiable function that satisfies the relation $$f(x+y)=f(x)+f(y)-1,\forall

View Question Five digit numbers are formed using the digits 1, 2, 3, 5, 7 with repetitions and are written in descending order with s

View Question Let $$\overrightarrow a $$, $$\overrightarrow b $$ and $$\overrightarrow c $$ be three non-zero non-coplanar vectors. Le

View Question Let the co-ordinates of one vertex of $$\Delta ABC$$ be $$A(0,2,\alpha)$$ and the other two vertices lie on the line $${

View Question ## Physics

Two particles of equal mass '$$m$$' move in a circle of radius '$$r$$' under the action of their mutual gravitational at

View Question Find the mutual inductance in the arrangement, when a small circular loop of wire of radius '$$R$$' is placed inside a l

View Question In a cuboid of dimension $$2 \mathrm{~L} \times 2 \mathrm{~L} \times \mathrm{L}$$, a charge $$q$$ is placed at the cente

View Question Surface tension of a soap bubble is $$2.0 \times 10^{-2} \mathrm{Nm}^{-1}$$. Work done to increase the radius of soap bu

View Question Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: If $$

View Question The magnitude of magnetic induction at mid point $$\mathrm{O}$$ due to current arrangement as shown in Fig will be

View Question If a radioactive element having half-life of $$30 \mathrm{~min}$$ is undergoing beta decay, the fraction of radioactive

View Question A stone is projected at angle $$30^{\circ}$$ to the horizontal. The ratio of kinetic energy of the stone at point of pro

View Question A block of mass $m$ slides down the plane inclined at angle $$30^{\circ}$$ with an acceleration $$\frac{g}{4}$$. The val

View Question Match List I with List II :
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View Question A car is moving on a horizontal curved road with radius 50 m. The approximate maximum speed of car will be, if friction

View Question A person observes two moving trains, 'A' reaching the station and 'B' leaving the station with equal speed of $$30 \math

View Question Which of the following are true?
A. Speed of light in vacuum is dependent on the direction of propagation.
B. Speed of l

View Question In a Young's double slit experiment, two slits are illuminated with a light of wavelength $$800 \mathrm{~nm}$$. The line

View Question A single current carrying loop of wire carrying current I flowing in anticlockwise direction seen from +ve $$\mathrm{z}$

View Question Which one of the following statement is not correct in the case of light emitting diodes?
A. It is a heavily doped p-n j

View Question A bicycle tyre is filled with air having pressure of $$270 ~\mathrm{kPa}$$ at $$27^{\circ} \mathrm{C}$$. The approximate

View Question The threshold wavelength for photoelectric emission from a material is 5500 $$\mathop A\limits^o $$. Photoelectrons will

View Question Ratio of thermal energy released in two resistors R and 3R connected in parallel in an electric circuit is :

View Question If the height of transmitting and receiving antennas are 80 m each, the maximum line of sight distance will be:
Given :

View Question Two simple harmonic waves having equal amplitudes of 8 cm and equal frequency of 10 Hz are moving along the same directi

View Question A solid sphere of mass 2 kg is making pure rolling on a horizontal surface with kinetic energy 2240 J. The velocity of c

View Question In a metre bridge experiment the balance point is obtained if the gaps are closed by 2$$\Omega$$ and 3$$\Omega$$. A shun

View Question A point charge $$q_1=4q_0$$ is placed at origin. Another point charge $$q_2=-q_0$$ is placed at $$x=12$$ cm. Charge of p

View Question A body cools from 60$$^\circ$$C to 40$$^\circ$$C in 6 minutes. If, temperature of surroundings is 10$$^\circ$$C. Then, a

View Question As shown in the figure, three identical polaroids P$$_1$$, P$$_2$$ and P$$_3$$ are placed one after another. The pass ax

View Question A 0.4 kg mass takes 8s to reach ground when dropped from a certain height 'P' above surface of earth. The loss of potent

View Question A certain elastic conducting material is stretched into a circular loop. It is placed with its plane perpendicular to a

View Question A radioactive element $$_{92}^{242}$$X emits two $$\alpha$$-particles, one electron and two positrons. The product nucle

View Question A tennis ball is dropped on to the floor from a height of 9.8 m. It rebounds to a height 5.0 m. Ball comes in contact wi

View Question