Consider the following reaction sequence:
\(\begin{array}{lll}\underset{\text {Compound }( x )}{ } \frac{\begin{array}{c}\text { (i) } CO _2, NaOH , 120^{\circ} C , \\ \text {high pressure }\end{array}}{\text { (ii) } H _3 O ^{+}} & \text {Compound }( y ) \\ {[76.6 \% C , 6.38 \% H ,} & \text { (Major Product) } \\ \text {vapour density } 47] & & \end{array}\)
Compound (y) develops characteristic colour with neutral \(FeCl _3\) solution.
Identify the INCORRECT statement from the following for the above sequence.

A 'p'-block element (E) and hydrogen form a binary cation \((EH_{x})^{+}\), while \(EH_{3}\) on treatment with \(K_{2}HgI_{4}\) in alkaline medium gives a precipitate of basic mercury(II)amido-iodine. Given below are first ionisation enthalpy values ( \(kJ mol ^{-1}\) ) for first element each from group 13, 14, 15 and 16. Identify the correct first ionisation enthalpy value for element E .

\(600\,mL\) of \(0.01\,M\,HCl\) is mixed with \(400\,mL\) of \(0.01\,M\,H _2 SO _4\). The \(pH\) of the mixture is \(.......\times 10^{-2}\). (Nearest integer) [Given \(\log 2=0.30, \quad \log 3=0.48\) \(\log 5=0.69 \quad \log 7=0.84\) \(\log 11=1.04]\)

Consider the following two half-cell reactions along with the standard reduction potential given:
\(CO_2 + 6H^+ + 6e^- \rightarrow CH_3 OH + H_2 O \quad E°_{red} = 0.02\) V
\(\dfrac{1}{2} O_2 + 2H^+ + 2e^- \rightarrow H_2 O \quad E°_{red} = 1.23\) V
A fuel cell was set up using the above two reactions such that the cell operates under the standard condition of \(1\) bar pressure and \(298\) K temperature. The fuel cell works with \(80\%\) efficiency. If the work derived from the cell using \(1\) mol of \(CH_3 OH\) is used to compress an ideal gas isothermally against a constant pressure of \(1\) kPa, then the change in the volume of the gas, \(\Delta V = \) _____ m\(^3\). (nearest integer)
Given: \(F = 96500\) C mol\(^{-1}\)

Which of the following statements are true?
(A) The subsidiary quantum number \(l\) describes the shape of the orbital occupied by the electron.
(B)

is the boundary surface diagram of the \(2 p_x\) orbital.
(C) The + and - signs in the wave function of the \(2 \mathrm{p}_{\mathrm{x}}\) orbital refer to charge.
(D) The wave function of \(2 p_x\) orbital is zero everywhere in the xy plane.

From the given list, the number of compounds with \(+4\) oxidation state of Sulphur _______.
\(\mathrm{SO}_3, \mathrm{H}_2 \mathrm{SO}_3, \mathrm{SOCl}_2, \mathrm{SF}_4, \mathrm{BaSO}_4, \mathrm{H}_2 \mathrm{~S}_2 \mathrm{O}_7\)

Which of the following amines can be prepared by Gabriel phthalimide reaction?

Arrange the following carbanions in the decreasing order of stability

Choose the correct answer from the options given below :

A nucleus \(A\), with a finite de -broglie wavelength \(\lambda_A\), undergoes spontaneous fission into two nuclei \(B\) and \(C\) of equal mass. \(B\) flies in the same direction as that of \(A\), while \(C\) flies in the opposite direction with a velocity equal to half of that of \(B\). The de -Broglie wavelength \(\lambda_B\) and \(\lambda_C\) of \(B\) and \(C\) are respectively

A body of mass \(\mathrm{m}=10\; \mathrm{kg}\) is attached to one end of a wire of length \(0.3\; \mathrm{m} .\) The maximum angular speed (in \(rad \;s^{-1}\) ) with which it can be rotated about its other end in space station is (Breaking stress of wire \(=4.8 \times 10^{7} \;\mathrm{Nm}^{-2}\) and area of cross-section of the wire \(=10^{-2}\; \mathrm{cm}^{2}\) ) is

Let \(a, b\) be two real numbers such that \(a b < 0\). If the complex number \(\frac{1+ ai }{ b + i }\) is of unit modulus and \(a+i b\) lies on the circle \(|z-1|=|2 z|\), then a possible value of \(\frac{1+[ a ]}{4 b }\), where \([ t ]\) is greatest integer function, is :

Given below are two statements : Statement \(I\) : Boron is extremely hard indicating its high lattice energy Statement \(II\) : Boron has highest melting and boiling point compared to its other group members. In the light of the above statements, choose the most appropriate answer from the options given below

Fifteen football players of a club-team are given \(15\) T-shirts with their names written on the backside. If the players pick up the T-shirts randomly, then the probability that at least \(3\) players pick the correct \(T\)-shirt is