JEE Advanced 2021 Paper 2 Online

Correct match of the C-H bonds (shown in bold) in Column J with their BDE in Column K is
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For the following reactionCH4(g) + Cl2(g) \(\buildrel {light} \over \longrightarrow\) CH3Cl(g) + HCl (g)the correct statement is

For the following reaction,
\(2X + Y\buildrel k \over \longrightarrow P\) the rate of reaction is \({{d[P]} \over {dt}} = k[X]\). Two moles of X are mixed with one mole of Y to make 1.0 L of solution. At 50 s, 0.5 mole of Y is left in the ...

The reaction sequence(s) that would lead to o-xylene as the major product is(are)

Correct option(s) for the following sequence of reactions is(are)

Reaction of x g of Sn with HCl quantitatively produced a salt. Entire amount of the salt reacted with y g of nitrobenzene in the presence of required amount of HCl to produce 1.29 g of an organic salt (quantitatively).(Use Molar masses (in ...

Reaction of x g of Sn with HCl quantitatively produced a salt. Entire amount of the salt reacted with y g of nitrobenzene in the presence of required amount of HCl to produce 1.29 g of an organic salt (quantitatively).(Use Molar masses (in ...

The pair(s) of complexes wherein both exhibit tetrahedral geometry is(are)(Note : py = pyridine)Given : Atomic numbers of Fe, Co, Ni and Cu are 26, 27, 28 and 29, respectively)

Some standard electrode potentials at 298 K are given below :Pb2+ /Pb = \(-\)0.13 VNi2+ /Ni = \(-\) 0.24 VCd2+ /Cd = \(-\) 0.40 VFe2+ /Fe = \(-\) 0.44 VTo a solution containing 0.001 M of X2+ and 0.1 M of Y2+, the metal rods X and Y are in...

At 298 K, the limiting molar conductivity of a weak monobasic acid is 4 \(\times\) 102 S cm2 mol\(-\)1. At 298 K, for an aqueous solution of the acid the degree of dissociation is \(\alpha\) and the molar conductivity is y \(\times\) 102 S ...

At 298 K, the limiting molar conductivity of a weak monobasic acid is 4 \(\times\) 102 S cm2 mol\(-\)1. At 298 K, for an aqueous solution of the acid the degree of dissociation is \(\alpha\) and the molar conductivity is y \(\times\) 102 S ...

The correct statement(s) related to oxoacids of phosphorous is(are)

A sample (5.6 g) containing iron is completely dissolved in cold dilute HCl to prepare a 250 mL of solution. Titration of 25.0 mL of this solution requires 12.5 mL of 0.03 M KMnO4 solution to reach the end point. Number of moles of Fe2+ pre...

A sample (5.6 g) containing iron is completely dissolved in cold dilute HCl to prepare a 250 mL of solution. Titration of 25.0 mL of this solution requires 12.5 mL of 0.03 M KMnO4 solution to reach the end point. Number of moles of Fe2+ pre...

Ozonolysis of ClO2 produces an oxide of chlorine. The average oxidation state of chlorine in this oxide is __________.

Precipitate X is

Among the following, the brown ring is due to the formation of

Consider a helium (He) atom that absorbs a photon of wavelength 330 nm. The change in the velocity (in cm s\(-\)1) of He atom after the photon absorption is __________.(Assume : Momentum is conserved when photon is absorbed.Use : Planck con...

One mole of an ideal gas at 900 K, undergoes two reversible processes, I followed by II, as shown below. If the work done by the gas in the two processes are same, the value of \(\ln {{{V_3}} \over {{V_2}}}\) is _________.(U : internal ener...

For any real numbers \(\alpha\) and \(\beta\), let \({y_{\alpha ,\beta }}(x)\), x\(\in\)R, be the solution of the differential equation \({{dy} \over {dx}} + \alpha y = x{e^{\beta x}},y(1) = 1\). Let $$S = \{ {y_{\alpha ,\beta }}(x):\alpha ...

Let f1 : (0, \(\infty\)) \(\to\) R and f2 : (0, \(\infty\)) \(\to\) R be defined by \({f_1}(x) = \int\limits_0^x {\prod\limits_{j = 1}^{21} {{{(t - j)}^j}dt} }\), x > 0 and \({f_2}(x) = 98{(x - 1)^{50}} - 600{(x - 1)^{49}} + 2450,x > 0\), ...

Let f1 : (0, \(\infty\)) \(\to\) R and f2 : (0, \(\infty\)) \(\to\) R be defined by \({f_1}(x) = \int\limits_0^x {\prod\limits_{j = 1}^{21} {{{(t - j)}^j}dt} }\), x > 0 and \({f_2}(x) = 98{(x - 1)^{50}} - 600{(x - 1)^{49}} + 2450,x > 0\), ...

Consider the region R = {(x, y) \(\in\) R \(\times\) R : x \(\ge\) 0 and y2 \(\le\) 4 \(-\) x}. Let F be the family of all circles that are contained in R and have centers on the x-axis. Let C be the circle that has largest radius among the...

Consider the region R = {(x, y) \(\in\) R \(\times\) R : x \(\ge\) 0 and y2 \(\le\) 4 \(-\) x}. Let F be the family of all circles that are contained in R and have centers on the x-axis. Let C be the circle that has largest radius among the...

Consider M with \(r = {{1025} \over {513}}\). Let k be the number of all those circles Cn that are inside M. Let l be the maximum possible number of circles among these k circles such that no two circles intersect. Then

Consider M with \(r = {{({2^{199}} - 1)\sqrt 2 } \over {{2^{198}}}}\). The number of all those circles Dn that are inside M is

Let \(f:\left[ { - {\pi \over 2},{\pi \over 2}} \right] \to R\) be a continuous function such that \(f(0) = 1\) and \(\int_0^{{\pi \over 3}} {f(t)dt = 0}\). Then which of the following statements is(are) TRUE?

Let \({g_i}:\left[ {{\pi \over 8},{{3\pi } \over 8}} \right] \to R,i = 1,2\), and \(f:\left[ {{\pi \over 8},{{3\pi } \over 8}} \right] \to R\) be functions such that \({g_1}(x) = 1,{g_2}(x) = |4x - \pi |\) and \(f(x) = {\sin ^2}x\), for a...

Let \({g_i}:\left[ {{\pi \over 8},{{3\pi } \over 8}} \right] \to R,i = 1,2\), and \(f:\left[ {{\pi \over 8},{{3\pi } \over 8}} \right] \to R\) be functions such that \({g_1}(x) = 1,{g_2}(x) = |4x - \pi |\) and \(f(x) = {\sin ^2}x\), for a...

Which of the following statements is TRUE?

Which of the following statements is TRUE?

For any real number x, let [ x ] denote the largest integer less than or equal to x. If \(I = \int\limits_0^{10} {\left[ {\sqrt {{{10x} \over {x + 1}}} } \right]dx}\), then the value of 9I is __________.

Let E be the ellipse \({{{x^2}} \over {16}} + {{{y^2}} \over 9} = 1\). For any three distinct points P, Q and Q' on E, let M(P, Q) be the mid-point of the line segment joining P and Q, and M(P, Q') be the mid-point of the line segment joini...

Let E denote the parabola y2 = 8x. Let P = (\(-\)2, 4), and let Q and Q' be two distinct points on E such that the lines PQ and PQ' are tangents to E. Let F be the focus of E. Then which of the following statements is(are) TRUE?

Let \({S_1} = \left\{ {(i,j,k):i,j,k \in \{ 1,2,....,10\} } \right\}\),\({S_2} = \left\{ {(i,j):1 \le i < j + 2 \le 10,i,j \in \{ 1,2,...,10\} } \right\}\),$${S_3} = \left\{ {(i,j,k,l):1 \le i < j < k < l,i,j,k,l \in \{ 1,2,...,10\} } \righ...

A number of chosen at random from the set {1, 2, 3, ....., 2000}. Let p be the probability that the chosen number is a multiple of 3 or a multiple of 7. Then the value of 500p is __________.

Consider a triangle PQR having sides of lengths p, q and r opposite to the angles P, Q and R, respectively. Then which of the following statements is (are) TRUE?

Let O be the origin and \(\overrightarrow {OA} = 2\widehat i + 2\widehat j + \widehat k\) and \(\overrightarrow {OB} = \widehat i - 2\widehat j + 2\widehat k\) and $$\overrightarrow {OC} = {1 \over 2}\left( {\overrightarrow {OB} - \lamb...

In a circuit, a metal filament lamp is connected in series with a capacitor of capacitance C \(\mu\)F across a 200 V, 50 Hz supply. The power consumed by the lamp is 500 W while the voltage drop across it is 100 V. Assume that there is no i...

In a circuit, a metal filament lamp is connected in series with a capacitor of capacitance C \(\mu\)F across a 200 V, 50 Hz supply. The power consumed by the lamp is 500 W while the voltage drop across it is 100 V. Assume that there is no i...

A heavy nucleus N, at rest, undergoes fission N \(\to\) P + Q, where P and Q are two lighter nuclei. Let \(\delta\) = MN \(-\) MP \(-\) MQ, where MP, MQ and MN are the masses of P, Q and N, respectively. EP and EQ are the kinetic energies o...

In order to measure the internal resistance r1 of a cell of emf E, a meter bridge of wire resistance R0 = 50\(\Omega\), a resistance R0/2, another cell of emf E/2 (internal resistance r) and a galvanometer G are used in a circuit, as shown ...

In a photoemission experiment, the maximum kinetic energies of photoelectrons from metals P, Q and R are EP, EQ and ER, respectively, and they are related by EP = 2EQ = 2ER. In this experiment, the same source of monochromatic light is used...

For a prism of prism angle \(\theta\) = 60\(^\circ\), the refractive indices of the left half and the right half are, respectively, n1 and n2 (n2 \(\ge\) n1) as shown in the figure. The angle of incidence i is chosen such that the incident ...

The distance between two stars of masses 3MS and 6MS is 9R. Here R is the mean distance between the centers of the Earth and the Sun, and MS is the mass of the Sun. The two stars orbit around their common center of mass in circular orbits w...

A soft plastic bottle, filled with water of density 1 gm/cc, carries an inverted glass test-tube with some air (ideal gas) trapped as shown in the figure. The test-tube has a mass of 5 gm, and it is made of a thick glass of density 2.5 gm/c...

A soft plastic bottle, filled with water of density 1 gm/cc, carries an inverted glass test-tube with some air (ideal gas) trapped as shown in the figure. The test-tube has a mass of 5 gm, and it is made of a thick glass of density 2.5 gm/c...

The value of \({{{T_R}} \over {{T_0}}}\) is

The value of \({Q \over {R{T_0}}}\) is

One end of a horizontal uniform beam of weight W and length L is hinged on a vertical wall at point O and its other end is supported by a light inextensible rope. The other end of the rope is fixed at point Q, at a height L above the hinge ...